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16043Analysis and Partial Differential Equations: A Collection of Papers Dedicated to Mischa Cotlar (Lecture Notes in Pure and Applied Mathematics)
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1 edition | English | 1989-12-15 | ISBN: 0824783026 | 756 pages | DJVU | 4,8 mb Read more... ]]>Tue, 12 Dec 2017 20:01:31 GMTWirkungsvolle Lehrerinterventionsformen bei komplexen Modellierungsaufgaben (Perspektiven der Mathematikdidaktik) (German Edition) [German]
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Peter Stender untersucht, wie Lehrpersonen handeln sollten, um Schlerinnen und Schler bei der mglichst selbststndigen Bearbeitung einer komplexen Modellierungsfragestellung zu untersttzen, und zugleich sicherzustellen, dass eine sinnvolle Antwort auf das Modellierungsproblem entsteht. Er untersucht diese Fragestellung im Rahmen von dreitgigen Modellierungstagen Mathematik, indem er Videographien mittels qualitativer Inhaltsanalyse auswertet. Dabei identifiziert er wirkungsvolle Lehrerinterventionen und entwickelt auf dieser Grundlage theoriegeleitet weitere Lehrerinterventionen mithilfe heuristischer Strategien. Read more... ]]>Tue, 12 Dec 2017 18:26:35 GMTAn Introductory Course in Lebesgue Spaces (CMS Books in Mathematics)
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This book is devoted exclusively to Lebesgue spaces and their direct derived spaces. Unique in its sole dedication, this book explores Lebesgue spaces, distribution functions and nonincreasing rearrangement. Moreover, it also deals with weak, Lorentz and the more recent variable exponent and grand Lebesgue spaces with considerable detail to the proofs. The book also touches on basic harmonic analysis in the aforementioned spaces. An appendix is given at the end of the book giving it a self-contained character. This work is ideal for teachers, graduate students and researchers. Read more... ]]>Tue, 12 Dec 2017 18:12:31 GMTOSS Reliability Measurement and Assessment (Springer Series in Reliability Engineering)
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This book analyses quantitative open source software (OSS) reliability assessment and its applications, focusing on three major topic areas: the Fundamentals of OSS Quality/Reliability Measurement and Assessment the Practical Applications of OSS Reliability Modelling and Recent Developments in OSS Reliability Modelling.
Offering an ideal reference guide for graduate students and researchers in reliability for open source software (OSS) and modelling, the book introduces several methods of reliability assessment for OSS including component-oriented reliability analysis based on analytic hierarchy process (AHP), analytic network process (ANP), and non-homogeneous Poisson process (NHPP) models, the stochastic differential equation models and hazard rate models.
These measurement and management technologies are essential to producing and maintaining quality/reliable systems using OSS. Read more... ]]>Tue, 12 Dec 2017 18:03:28 GMTComposing Ethnography Alternative Forms of Qualitative Writing (Ethnographic Alternatives)
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What is it like to have lived with bulimia for most of your life? To have a mother who is retarded? To fight a health insurance company in order to survive breast cancer? Carolyn Ellis and Arthur P. Bochner have assembled innovative pieces which tackle these and other difficult questions, enlarging the space to practice ethnographic writing as the stories are told through memoirs, poetry, photography, and other creative forms usually associated with the arts. The authors demonstrate how ethnographic data can be converted into memorable experiences that readers can use in the classroom and everyday life. Read more... ]]>Tue, 12 Dec 2017 16:48:17 GMTExcursions in the History of Mathematics (Operator Theory, Advances and Applications)
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This book comprises five parts. The first three contain ten historical essays on important topics: number theory, calculus/analysis, and proof, respectively. Part four deals with several historically oriented courses, and Part five provides biographies of five mathematicians who played major roles in the historical events described in the first four parts of the work.
Each of the first three parts—on number theory, calculus/analysis, and proof—begins with a survey of the respective subject and is followed in more depth by specialized themes. Among the specialized themes are: Fermat as the founder of modern number theory, Fermat’s Last Theorem from Fermat to Wiles, the history of the function concept, paradoxes, the principle of continuity, and an historical perspective on recent debates about proof.
The fourth part contains essays describing mathematics courses inspired by history. The essays deal with numbers as a source of ideas in teaching, with famous problems, and with the stories behind various "great" quotations. The last part gives an account of five mathematicians—Dedekind, Euler, Gauss, Hilbert, and Weierstrass—whose lives and work we hope readers will find inspiring. Key features of the work include: * A preface describing in some detail the author's ideas on teaching mathematics courses, in particular, the role of history in such courses * Explicit comments and suggestions for teachers on how history can affect the teaching of mathematics * A descripti Read more... ]]>Tue, 12 Dec 2017 16:43:51 GMTSuccessful Writing for Qualitative Researchers (Routledge Study Guides)
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It is always difficult to know how to write up research, and as academics and postgraduates alike come under increasing pressure to improve rates of publication a text like this one is essential reading for all researchers. Read more... ]]>Tue, 12 Dec 2017 16:43:20 GMTGuide to Essential Math A Review for Physics, Chemistry and Engineering Students (Complementary Science)
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This book reminds students in junior, senior and graduate level courses in physics, chemistry and engineering of the math they may have forgotten (or learned imperfectly) which is needed to succeed in science courses. The focus is on math actually used in physics, chemistry and engineering, and the approach to mathematics begins with 12 examples of increasing complexity, designed to hone the student's ability to think in mathematical terms and to apply quantitative methods to scientific problems. By the author's design, no problems are included in the text, to allow the students to focus on their science course assignments. - Highly accessible presentation of fundamental mathematical techniques needed in science and engineering courses- Use of proven pedagogical techniques develolped during the author's 40 years of teaching experience- illustrations and links to reference material on World-Wide-Web- Coverage of fairly advanced topics, including vector and matrix algebra, partial differential equations, special functions and complex variables Read more... ]]>Tue, 12 Dec 2017 13:46:14 GMTBasiswissen Mathematik: Der smarte Einstieg in die Mathematikausbildung an Hochschulen (Springer-Lehrbuch) (German Edition)
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Der mathematische Ratgeber fr die ersten beiden Studienjahre! Wer im Nebenfach Mathematik studieren mu, findet hier das wesentliche mathematische Wissen bersichtlich zusammengestellt und ausfhrlich erklrt! Viele Beispiele, ein umfangreicher bungsteil und die konsequente Einbeziehung von WolframAlpha, der freien Wissensmaschine von Wolfram Research, geben Hilfe und Orientierung beim Erlernen der Mathematik an Hochschulen. Abiturienten bei der Vorbereitung auf ein naturwissenschaftlich-technisches, Ingenieur-, konomie- usw. Studium aber auch Studierende, die den berblick in Sachen Mathematik behalten wollen, werden die kommentierte Formelsammlung mit Begeisterung zur Hand nehmen. Read more... ]]>Tue, 12 Dec 2017 12:25:18 GMTFuzzy Logic: An Introductory Course for Engineering Students (Studies in Fuzziness and Soft Computing)
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This book introduces readers to fundamental concepts in fuzzy logic. It describes the necessary theoretical background and a number of basic mathematical models. Moreover, it makes them familiar with fuzzy control, an important topic in the engineering field. The book offers an unconventional introductory textbook on fuzzy logic, presenting theory together with examples and not always following the typical mathematical style of theorem-corollaries. Primarily intended to support engineers during their university studies, and to spark their curiosity about fuzzy logic and its applications, the book is also suitable for self-study, providing a valuable resource for engineers and professionals who deal with imprecision and non-random uncertainty in real-world applications. Read more... ]]>Tue, 12 Dec 2017 12:09:54 GMTAn Introduction to Algebraic Geometry (Translations of Mathematical Monographs)
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This introduction to algebraic geometry allows readers to grasp the fundamentals of the subject with only linear algebra and calculus as prerequisites. After a brief history of the subject, the book introduces projective spaces and projective varieties, and explains plane curves and resolution of their singularities. Read more... ]]>Tue, 12 Dec 2017 10:11:15 GMTSturm-Liouville Theory and its Applications (Springer Undergraduate Mathematics Series)
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Developed from a course taught to senior undergraduates, this book provides a unified introduction to Fourier analysis and special functions based on the Sturm-Liouville theory in L2. The text's presentation follows a clear, rigorous mathematical style that is highly readable. Read more... ]]>Tue, 12 Dec 2017 08:43:22 GMTLinear Functional Analysis (Springer Undergraduate Mathematics Series)
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This introduction to the ideas and methods of linear functional analysis shows how familiar and useful concepts from finite-dimensional linear algebra can be extended or generalized to infinite-dimensional spaces. Read more... ]]>Tue, 12 Dec 2017 08:13:58 GMTThe Master Field on the Plane (Asterisque)
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We study the large N asymptotics of the Brownian motions on the orthogonal, unitary and symplectic groups, extend the convergence in non-commutative distribution originally obtained by Biane for the unitary Brownian motion to the or thogonal and symplectic cases, and derive explicit estimates for the speed of convergence in non-commutative distribution of arbitrary words in independent increments of Brownian motions.
Using these results, we full part of a program outlined by Singer by constructing and studying the large N limit of the Yang-Mills measure on the Euclidean plane with orthogonal, unitary and symplectic structure groups. We prove that each Wilson loop converges in probability towards a deterministic limit, and that its expectation converges to the same limit at a speed which is controlled explicitly by the length
of the loop. In the course of this study, we reprove and mildly generalise a result of Hambly and Lyons on the set of tree-like rectiable paths.
Finally, we establish rigorously, both for nite N and in the large N limit, the Schwinger-Dyson equations for the expectations of Wilson loops, which in this ontext are called the Makeenko-Migdal equations. We study how these equations allow one to compute recursively the expectation of a Wilson loop as a component of the solution of a dierential system with respect to the areas of the faces delimited by the loop. Read more... ]]>Tue, 12 Dec 2017 04:01:56 GMTThe Cubic Szego Equation and Hankel Operators (Asterisque)
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The large time behavior of solutions to Hamiltonian partial dierential equations is an important problem in mathematical physics. In the case of nite dimensional Hamiltonian systems, many features of the large time behavior of trajectories are described using the topology of the phase space. For a given innite dimensional system, several natural phase spaces, with dierent topologies, can be chosen, and the large time properties may strongly depend on the choice of such topologies. Read more... ]]>Tue, 12 Dec 2017 04:00:47 GMTschnelle <![CDATA[&]]> effektive Rechentricks SPECIAL EDITION: Anleitung zu extrem schnellem Kopfrechnen (German Edition) [German]
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Anleitung zu extrem schnellem Kopfrechnen durch effektive Rechentricks
Kopfrechnen ist eine von vielen Fhigkeiten die Schler, Studenten und Erwachsene in unserer technisch versierten Zeit immer mehr verlieren. Dabei ist Kopfrechnen eine gute bung, deren Nutzen weit ber das bloe Ermitteln eines Ergebnisses hinausgeht. Warum sollte man also auf die vielen guten Auswirkungen des Kopfrechnens verzichten? Die SPECIAL EDITION bietet dir neben vielen Rechentricks noch eine spezielle Erinnerungstechnik, mit der du dir lange Zahlenreihen oder komplexe mathematische Aufgaben sicher merken kannst.
dieses Buch ist fr alle:
die den Spa an der Mathematik suchen
Schler, Studenten und alle anderen, die extrem schnell Kopfrechnen wollen
die mathematische Fhigkeiten schnell und effektiv trainieren wollen, ohne ein endlos langes Buch lesen zu mssen
Wie hilft dir dieses Buch beim Kopfrechnen?
Dieses Buch erklrt dir kreative Rechentricks mit vielen Beispielen und bungen, so dass du komplexe Rechenaufgaben in ein paar Sekunden im Kopf lsen kannst. Die SPECIAL EDITION erklrt die auerdem noch eine Mnemotechnik durch die du dir die mathematischen Aufgaben einfacher merken kannst.
Was kannst du mit dem Buch lernen?
du lernst:
das Vereinfachen von Rechenaufgaben durch kreatives und strategisches Denken
die wichtigsten Rechentricks
welcher Rechentrick dir wann hilft
eine Erinnerungstechnik zum Merken von Zahlen
Willst du deine mathematischen Fhigkeiten Read more... ]]>Tue, 12 Dec 2017 03:23:00 GMTVerborgene Ideen: Historische mathematische Instrumente (German Edition) [German]
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Zhlen, Rechnen, Messen und Konstruieren sind die Wurzeln, aus denen die Mathematik erwachsen ist. Zwar spielt sich das Wesentliche dabei im Denken des Menschen ab, doch im praktischen Vollzug werden Hilfen beim Rechnen verwendet, wird mit Instrumenten gemessen und mit Werkzeugen gezeichnet. Das gilt vor allem fr die Anwendungsbereiche: Handel, Handwerk, Baukunst, Landvermessung, Seefahrt, Naturwissenschaften und Himmelskunde. Dieses Buch handelt von historischen mathematischen Instrumenten. Viele von ihnen sind heute durch den Computer als Universalinstrument ersetzt. Doch einige haben in besonderen Anwendungsbereichen berlebt. Zudem finden sich ausgewhlte historische Instrumente noch in Museen und Sammlungen. Denn als Trger von Ideen sind sie es wert, dass man sich ihrer erinnert und sich eingehender mit ihnen beschftigt. Ihre mathematischen und technischen Ideen sind meist verborgen. Sie als einen Beitrag zu unserer Kultur exemplarisch sichtbar und verstndlich zu machen, ist das Ziel dieses Buches, das mit zahlreichen farbigen Abbildungen attraktiv gestaltet ist. Read more... ]]>Tue, 12 Dec 2017 03:20:02 GMTAn Assessment of Research-Doctorate Programs in the United States: Mathematical and Physical Sciences
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Committee on an Assessment of Quality-Related Characteristics of Research-Doctorate Programs in the United States, American Council of Learned Sciences, American Council on Education, National Research Council, and Social Science Research Council. Read more... ]]>Mon, 11 Dec 2017 22:56:05 GMTAn Introduction to Magnetohydrodynamics (Cambridge Texts in Applied Mathematics)
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Magnetic fields are routinely used in industry to heat, pump, stir and levitate liquid metals. There is the terrestrial magnetic field that is maintained by fluid motion in the earth's core, the solar magnetic field, which generates sunspots and solar flares, and the galactic field that influences the formation of stars.
This introductory text on magnetohydrodynamics (MHD) (the study of the interaction of magnetic fields and conducting fluids) is intended to serve as an introductory text for advanced undergraduates and graduate students in physics, applied mathematics and engineering. The material in the text is heavily weighted toward incompressible flows and to terrestrial (as distinct from astrophysical) applications. The final sections of the text, which outline the latest advances in the metallurgical applications of MHD, make the book of interest to professional researchers in applied mathematics, engineering and metallurgy. Read more... ]]>Mon, 11 Dec 2017 22:20:51 GMTTuring Computability: Theory and Applications (Theory and Applications of Computability)
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Turing's famous 1936 paper introduced a formal definition of a computing machine, a Turing machine. This model led to both the development of actual computers and to computability theory, the study of what machines can and cannot compute. This book presents classical computability theory from Turing and Post to current results and methods, and their use in studying the information content of algebraic structures, models, and their relation to Peano arithmetic. The author presents the subject as an art to be practiced, and an art in the aesthetic sense of inherent beauty which all mathematicians recognize in their subject.
Part I gives a thorough development of the foundations of computability, from the definition of Turing machines up to finite injury priority arguments. Key topics include relative computability, and computably enumerable sets, those which can be effectively listed but not necessarily effectively decided, such as the theorems of Peano arithmetic. Part II includes the study of computably open and closed sets of reals and basis and nonbasis theorems for effectively closed sets. Part III covers minimal Turing degrees. Part IV is an introduction to games and their use in proving theorems. Finally, Part V offers a short history of computability theory.
The author has honed the content over decades according to feedback from students, lecturers, and researchers around the world. Most chapters include exercises, and the material is carefully structured accordi Read more... ]]>Mon, 11 Dec 2017 22:09:11 GMTSPSS Survival Manual
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The SPSS Survival Manual throws a lifeline to students and researchers grappling with this powerful data analysis software. In her bestselling guide, Julie Pallant guides you through the entire research process, helping you choose the right data analysis technique for your project. From the formulation of research questions, to the design of the study and analysis of data, to reporting the results, Julie discusses basic and advanced statistical techniques. She outlines each technique clearly, with step-by-step procedures for performing the analysis, a detailed guide to interpreting data output and an example of how to present the results in a report. For both beginners and experienced users in psychology, sociology, health sciences, medicine, education, business and related disciplines, the SPSS Survival Manual is an essential text. Illustrated with screen grabs, examples of output and tips, it is supported by a website with sample data and guidelines on report writing. This sixth edition is fully revised and updated to accommodate changes to IBM SPSS procedures, screens and output. It covers new SPSS tools for generating graphs and non-parametric statistics, importing data, and calculating dates. 'An excellent introduction to using SPSS for data analysis. It provides a self-contained resource itself, with more than simply (detailed and clear) step-by-step descriptions of statistical procedures in SPSS. There is also a wealth of tips and advice, and for each statistical techn Read more... ]]>Mon, 11 Dec 2017 19:18:56 GMTChern-Simons Theory, Matrix Models, and Topological Strings (International Series of Monographs on Physics)
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In recent years, the old idea that gauge theories and string theories are equivalent has been implemented and developed in various ways, and there are by now various models where the string theory / gauge theory correspondence is at work. One of the most important examples of this correspondence relates Chern-Simons theory, a topological gauge theory in three dimensions which describes knot and three-manifold invariants, to topological string theory, which is deeply related to Gromov-Witten invariants. This has led to some surprising relations between three-manifold geometry and enumerative geometry. This book gives the first coherent presentation of this and other related topics. After an introduction to matrix models and Chern-Simons theory, the book describes in detail the topological string theories that correspond to these gauge theories and develops the mathematical implications of this duality for the enumerative geometry of Calabi-Yau manifolds and knot theory. It is written in a pedagogical style and will be useful reading for graduate students and researchers in both mathematics and physics willing to learn about these developments.
My Link Read more... ]]>Mon, 11 Dec 2017 17:54:00 GMTPower Sums, Gorenstein Algebras, and Determinantal Loci
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This book treats the theory of representations of homogeneous polynomials as sums of powers of linear forms. The first two chapters are introductory, and focus on binary forms and Waring's problem. Then the author's recent work is presented mainly on the representation of forms in three or more variables as sums of powers of relatively few linear forms. Read more... ]]>Mon, 11 Dec 2017 17:38:33 GMTThe Monty Hall Problem: The Remarkable Story of Math's Most Contentious Brain Teaser
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Mathematicians call it the Monty Hall Problem, and it is one of the most ting mathematical brain teasers of recent times. Imagine that you face three doors, behind one of which is a prize. You choose one but do not open it. Read more... ]]>Mon, 11 Dec 2017 17:32:24 GMTAlgebraic Theory of Differential Equations (London Mathematical Society Lecture Note Series)
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Integration of differential equations is a central problem in mathematics and several approaches have been developed by studying analytic, algebraic, and algorithmic aspects of the subject. One of these is Differential Galois Theory, developed by Kolchin and his school, and another originates from the Soliton Theory and Inverse Spectral Transform method, which was born in the works of Kruskal, Zabusky, Gardner, Green and Miura. Many other approaches have also been developed, but there has so far been no intersection between them. This unique introduction to the subject finally brings them together, with the aim of initiating interaction and collaboration between these various mathematical communities. The collection includes a LMS Invited Lecture Course by Michael F. Singer, together with some shorter lecture courses and review articles, all based upon a mini-program held at the International Centre for Mathematical Sciences (ICMS) in Edinburgh.
Read more... ]]>Mon, 11 Dec 2017 14:46:07 GMTAlgebraic Generalizations of Discrete Groups: A Path to Combinatorial Group Theory Through One-Relator Products (Chapman <![CDATA[&]]> Hall/CRC Pure and Applied Mathematics)
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A survey of one-relator products of cyclics or groups with a single defining relation, extending the algebraic study of Fuchsian groups to the more general context of one-relator products and related group theoretical considerations. It provides a self-contained account of certain natural generalizations of discrete groups. Read more... ]]>Mon, 11 Dec 2017 14:43:00 GMTModelle der Zeitreihenanalyse (Mathematik Kompakt) (German Edition) [German]
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Dieses Buch bietet eine einheitliche und geschlossene Darstellung von Theorie und Modellen, die der Zeitreihenanalyse zugrunde liegen. Das Schwergewicht liegt dabei beim schwach stationren Fall und bei linearen Modellen: Im ersten Teil wird die Theorie allgemeiner multivariater schwach stationrer Prozesse in Zeit-und Frequenzbereich, einschlielich deren Prognose und Filterung hergeleitet. Der zweite Teil beschftigt sich mit multivariaten AR-, ARMA- und Zustandsraum-Systemen als den wichtigsten Modellklassen fr stationre Prozesse. In diesem Rahmen werden Yule-Walker Gleichungen, die Faktorisierung rationaler Spektren, das Kalman Filter und die Struktur von ARMA-und Zustandsraum-Systemen beschrieben. Ziel des Buches ist es die wesentlichen Konzepte, Ideen, Methoden und Resultate in mathematisch sauberer Form darzustellen und somit eine solide Fundierung fr Studenten und Forscher in Feldern wie datengetriebener Modellierung, Prognose und Filterung, wie sie etwa fr die Kontrolltheorie, konometrie, Signalverarbeitung und Statistik relevant sind, zu bieten. Read more... ]]>Mon, 11 Dec 2017 12:43:37 GMTCalculus I with Precalculus (Textbooks Available with Cengage Youbook)
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CALCULUS I WITH PRECALCULUS, brings you up to speed algebraically within precalculus and transition into calculus. The Larson Calculus program has been widely praised by a generation of students and professors for its solid and effective pedagogy that addresses the needs of a broad range of teaching and learning styles and environments. Each title is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning. One primary objective guided the authors in writing this book: to develop precise, readable materials for students that clearly define and demonstrate concepts and rules of calculus.
Read more... ]]>Mon, 11 Dec 2017 12:40:05 GMTFinite Reductive Groups: Related Structures and Representations: Proceedings of an International Conference held in Luminy, France (Progress in Mathematics)
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Finite reductive groups and their representations lie at the heart of group theory. This volume treats linear representations of finite reductive groups and their modular aspects together with Hecke algebras, complex reflection groups, quantum groups, arithmetic groups, Lie groups, symmetric groups and general finite groups. Read more... ]]>Mon, 11 Dec 2017 10:25:32 GMTCalculus, 11th Edition
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The Larson CALCULUS program has a long history of innovation in the calculus market. It has been widely praised by a generation of students and professors for its solid and effective pedagogy that addresses the needs of a broad range of teaching and learning styles and environments. Each title is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning.
Enjoy Subscribe Read more... ]]>Mon, 11 Dec 2017 08:26:13 GMTGalerkin-Spektralverfahren fur die Fokker-Planck-Gleichung (BestMasters) (German Edition) [German]
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Christoph Lohmann beschftigt sich mit numerischen Verfahren fr die Fokker-Planck-Gleichung. Ausgehend von einer Fourierapproximation leitet er notwendige Bedingungen fr die Nichtnegativitt der Wahrscheinlichkeitsdichte und positive Semidefinitheit zugehriger Orientierungstensoren her. Unter Verwendung dieser Bedingungen entwickelt der Autor neuartige Korrekturtechniken fr die Fourierkoeffizienten, die zu einer genauen und physikkonformen Approximation der Orientierungstensoren fhren. Read more... ]]>Mon, 11 Dec 2017 07:10:59 GMTFrom Kant to Hilbert Volume 2
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Immanuel Kant's Critique of Pure Reason is widely taken to be the starting point of the modern period of mathematics while David Hilbert was the last great mainstream mathematician to pursue importatn nineteenth century ideas. This two-volume work provides an overview of this important era of mathematical research through a carefully chosen selection of articles.
They provide an insight into the foundations of each of the main branches of mathematics - algebra, geometry, number theory, analysis, logic, and set theory - with narratives to show how they are linked.
Classic works by Bolzano, Riemann, Hamilton, Dedekind, and Poincare are reproduced in reliable translations and many selections from writers such as Gauss, Cantor, Kronecher, and Zermelo are here translated for the first time. The collection is an invaluable source for anyone wishing to gain an understanding of the foundation of modern mathematics. Read more... ]]>Mon, 11 Dec 2017 01:07:05 GMTMethods of Information Geometry (Translations of Mathematical Monographs)
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Information geometry provides the mathematical sciences with a new framework of analysis. It has emerged from the investigation of the natural differential geometric structure on manifolds of probability distributions, which consists of a Riemannian metric defined by the Fisher information and a one-parameter family of affine connections called the $\alpha$-connections.
The duality between the $\alpha$-connection and the $(-\alpha)$-connection together with the metric play an essential role in this geometry. This kind of duality, having emerged from manifolds of probability distributions, is ubiquitous, appearing in a variety of problems which might have no explicit relation to probability theory. Through the duality, it is possible to analyze various fundamental problems in a unified perspective.
The first half of this book is devoted to a comprehensive introduction to the mathematical foundation of information geometry, including preliminaries from differential geometry, the geometry of manifolds or probability distributions, and the general theory of dual affine connections. The second half of the text provides an overview of wide areas of applications, such as statistics, linear systems, information theory, quantum mechanics, convex analysis, neural networks, and affine differential geometry. Read more... ]]>Mon, 11 Dec 2017 01:00:13 GMTElliptic Boundary Problems for Dirac Operators (Mathematics: Theory <![CDATA[&]]> Applications)
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Elliptic boundary problems have enjoyed interest recently, espe cially among C* -algebraists and mathematical physicists who want to understand single aspects of the theory, such as the behaviour of Dirac operators and their solution spaces in the case of a non-trivial boundary. However, the theory of elliptic boundary problems by far has not achieved the same status as the theory of elliptic operators on closed (compact, without boundary) manifolds. The latter is nowadays rec ognized by many as a mathematical work of art and a very useful technical tool with applications to a multitude of mathematical con texts. Therefore, the theory of elliptic operators on closed manifolds is well-known not only to a small group of specialists in partial dif ferential equations, but also to a broad range of researchers who have specialized in other mathematical topics. Why is the theory of elliptic boundary problems, compared to that on closed manifolds, still lagging behind in popularity? Admittedly, from an analytical point of view, it is a jigsaw puzzle which has more pieces than does the elliptic theory on closed manifolds. But that is not the only reason.
Read more... ]]>Mon, 11 Dec 2017 00:58:50 GMTArithmetische und geometrische Fahigkeiten von Schulanfangern: Eine empirische Untersuchung unter besonderer Berucksichtigung des Bereichs Muster und ... des Mathematikunterrichts) (German Edition)
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Theresa Deutscher stellt die Lernstande von Schulanfangerinnen und Schulanfangern inhaltlich umfassend und detailliert fur die Grundideen der Arithmetik und der Geometrie dar. Als Datenbasis dienen klinische Einzelinterviews mit 108 Kindern, die sowohl qualitativ als auch quantitativ in Bezug auf unterschiedliche Schulergruppen ausgewertet werden.
Read more... ]]>Mon, 11 Dec 2017 00:49:42 GMTEnergie- und Paritatsgewinnbedingungen auf Spielstrukturen (BestMasters) (German Edition) [German]
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Auf dem Gebiet der Petri-Netze und Vektoradditionssysteme sind viele Entscheidungsfragen ungeklrt, die Uli Schlachter in seiner Masterarbeit motiviert haben, Spiele auf sogenannten Spielstrukturen mit einer hnlichen Semantik zu untersuchen. Hierbei handelt es sich um eine Art von Zwei-Spieler-Spielen auf einem gerichteten Graphen. Der Autor erarbeitet verschiedene Gewinnbedingungen und zeigt ihre Entscheidbarkeit. Die Arbeit beleuchtet diese Themen spieltheoretisch, bietet aber auch eine exemplarische Anwendung verschiedener Aspekte der Spieltheorie. Read more... ]]>Mon, 11 Dec 2017 00:23:21 GMTEmerging Trends and Advanced Technologies for Computational Intelligence: Extended and Selected Results from the Science and Information Conference 2015 (Studies in Computational Intelligence)
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This book is a collection of extended chapters from the selected papers that were published in the proceedings of Science and Information (SAI) Conference 2015. It contains twenty-one chapters in the field of Computational Intelligence, which received highly recommended feedback during SAI Conference 2015 review process. During the three-day event 260 scientists, technology developers, young researcher including PhD students, and industrial practitioners from 56 countries have engaged intensively in presentations, demonstrations, open panel sessions and informal discussions. Read more... ]]>Sun, 10 Dec 2017 21:44:01 GMTMeasure and Integration An Advanced Course in Basic Procedures and Applications (Lecture Notes in Mathematics)
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This book aims at restructuring some fundamentals in measure and integration theory. It centers around the ubiquitous task to produce appropriate contents and measures from more primitive data like elementary contents and elementary integrals. It develops the new approach started around 1970 by Topsoe and others into a systematic theory. The theory is much more powerful than the traditional means and has striking implications all over measure theory and beyond. Read more... ]]>Sun, 10 Dec 2017 20:31:24 GMTFoundations of Information and Knowledge Systems: 9th International Symposium, FoIKS 2016, Linz, Austria, March 7-11, 2016. Proceedings (Lecture Notes in Computer Science)
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This book constitutes the proceedings of the 9th International Symposium on Foundations of Information and Knowledge Systems, FoIKS 2016, held in Linz, Austria, in March 2016. The 14 revised full papers presented papers were carefully reviewed and selected from 23 submissions. The papers address various topics such as reasoning about beliefs, uncertainty, incompleteness, and inconsistency, inference and problem solving, querying and pattern mining, dealing with knowledge, logics and complexity. Read more... ]]>Sun, 10 Dec 2017 19:45:08 GMTAn Invitation to Quantum Cohomology: Kontsevich's Formula for Rational Plane Curves (Progress in Mathematics)
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Elementary introduction to stable maps and quantum cohomology presents the problem of counting rational plane curves Read more... ]]>Sun, 10 Dec 2017 19:20:56 GMTMathematical Theory of Nonequilibrium Steady States: On the Frontier of Probability and Dynamical Systems (Lecture Notes in Mathematics)
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This volume provides a systematic mathematical exposition of the conceptual problems of nonequilibrium statistical physics, such as entropy production, irreversibility, and ordered phenomena. Markov chains, diffusion processes, and hyperbolic dynamical systems are used as mathematical models of physical systems. A measure-theoretic definition of entropy production rate and its formulae in various cases are given. It vanishes if and only if the stationary system is reversible and in equilibrium. Moreover, in the cases of Markov chains and diffusion processes on manifolds, it can be expressed in terms of circulations on directed cycles. Regarding entropy production fluctuations, the Gallavotti-Cohen fluctuation theorem is rigorously proved. Read more... ]]>Sun, 10 Dec 2017 19:02:42 GMTHandbook of Mathematics
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This guide book to mathematics contains in handbook form the fundamental working knowledge of mathematics which is needed as an everyday guide for working scientists and engineers, as well as for students. Easy to understand, and convenient to use, this guide book gives concisely the information necessary to evaluate most problems which occur in concrete applications. In the newer editions emphasis was laid on those fields of mathematics that became more important for the formulation and modeling of technical and natural processes, namely Numerical Mathematics, Probability Theory and Statistics, as well as Information Processing. Besides many enhancements and new paragraphs, new sections on Geometric and Coordinate Transformations, Quaternions and Applications, and Lie Groups and Lie Algebras were added for the sixth edition. Read more... ]]>Sun, 10 Dec 2017 19:01:31 GMTMulticriteria Optimization
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Decision makers in many areas, from industry to engineering and the social sector, face an increasing need to consider multiple, conflicting objectives in their decision processes. In many cases these real world decision problems can be formulated as multicriteria mathematical optimization models. The solution of such models requires appropriate techniques to compute so called efficient, or Pareto optimal, or compromise solutions that - unlike traditional mathematical programming methods - take the contradictory nature of the criteria into account. Read more... ]]>Sun, 10 Dec 2017 18:45:30 GMTSimple Noetherian Rings (Cambridge Tracts in Mathematics)
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This work specifically surveys simple Noetherian rings. The authors present theorems on the structure of simple right Noetherian rings and, more generally, on simple rings containing a uniform right ideal U. The text is as elementary and self-contained as practicable, and the little background required in homological and categorical algebra is given in a short appendix.
Full definitions are given and short, complete, elementary proofs are provided for such key theorems as the Morita theorem, the Correspondence theorem, the Wedderburn-Artin theorem, the Goldie-Lesieur-Croisot theorem, and many others. Complex mathematical machinery has been eliminated wherever possible or its introduction into the text delayed as long as possible. (Even tensor products are not required until Chapter 3.) Read more... ]]>Sun, 10 Dec 2017 18:02:07 GMTToeplitz Operators and Index Theory in Several Complex Variables (Operator Theory: Advances and Applications)
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4. 1 Bergman-Toeplitz Operators Over Bounded Domains 242 4. 2 Hardy-Toeplitz Operators Over Strictly Domains Pseudoconvex 250 Groupoid C* -Algebras 4. 3 256 4. 4 Hardy-Toeplitz Operators Over Tubular Domains 267 4. 5 Bergman-Toeplitz Operators Over Tubular Domains 278 4. 6 Hardy-Toeplitz Operators Over Polycircular Domains 284 4. 7 Bergman-Toeplitz Operators Over Polycircular Domains 290 4. 8 Hopf C* -Algebras 299 4. 9 Actions and Coactions on C* -Algebras 310 4. 10 Hardy-Toeplitz Operators Over K-circular Domains 316 4. 11 Hardy-Toeplitz Operators Over Symmetric Domains 325 4. 12 Bergman-Toeplitz Operators Over Symmetric Domains 361 5. Index Theory for Multivariable Toeplitz Operators 5. 0 Introduction 371 5. 1 K-Theory for Topological Spaces 372 5. 2 Index Theory for Strictly Pseudoconvex Domains 384 5. 3 C*-Algebras K-Theory for 394 5. 4 Index Theory for Symmetric Domains 400 5. 5 Index Theory for Tubular Domains 432 5. 6 Index Theory for Polycircular Domains 455 References 462 Index of Symbols and Notations 471 In trod uction Toeplitz operators on the classical Hardy space (on the I-torus) and the closely related Wiener-Hopf operators (on the half-line) form a central part of operator theory, with many applications e. g. , to function theory on the unit disk and to the theory of integral equations.
Read more... ]]>Sun, 10 Dec 2017 17:59:45 GMTYetter-Drinfel'd Hopf Algebras over Groups of Prime Order (Lecture Notes in Mathematics)
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Being the first monograph devoted to this subject, the book addresses the classification problem for semisimple Hopf algebras, a field that has attracted considerable attention in the last years. The special approach to this problem taken here is via semidirect product decompositions into Yetter-Drinfel'd Hopf algebras and group rings of cyclic groups of prime order. One of the main features of the book is a complete treatment of the structure theory for such Yetter-Drinfel'd Hopf algebras. Read more... ]]>Sun, 10 Dec 2017 17:47:23 GMTIntroduction to Probability with Statistical Applications
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Introduction to Probability with Statistical Applications. Read more... ]]>Sun, 10 Dec 2017 17:24:50 GMTA Probabilistic Framework for Point-Based Shape Modeling in Medical Image Analysis (Aktuelle Forschung Medizintechnik - Latest Research in Medical Engineering)
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Heike Hufnagel develops a mathematically sound statistical shape model. Due to the particular attributes of the model, the challenging integration of explicit and implicit representations can be performed in an elegant mathematical formulation, thus combining the advantages of both explicit model and implicit segmentation method.
Read more... ]]>Sun, 10 Dec 2017 15:08:02 GMTLongwave Instabilities and Patterns in Fluids (Advances in Mathematical Fluid Mechanics)
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This book summarizes the main advances in the field of nonlinear evolution and pattern formation caused by longwave instabilities in fluids. It will allow readers to master the multiscale asymptotic methods and become familiar with applications of these methods in a variety of physical problems.
Longwave instabilities are inherent to a variety of systems in fluid dynamics, geophysics, electrodynamics, biophysics, and many others. The techniques of the derivation of longwave amplitude equations, as well as the analysis of numerous nonlinear equations, are discussed throughout.
This book will be of value to researchers and graduate students in applied mathematics, physics, and engineering, in particular within the fields of fluid mechanics, heat and mass transfer theory, and nonlinear dynamics.
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Thanks For Supporting Me And Purchasing Premium From My Links Read more... ]]>Sun, 10 Dec 2017 11:32:10 GMTAn Introduction to Cybernetics
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This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.
As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. Read more... ]]>Sun, 10 Dec 2017 06:03:42 GMT