How To Learn Calculus Of One Variable Vol. I
How To Learn Calculus Of One Variable Vol. I

Author: J. D. Ghosh

Publisher: New Age International

Published: 2008-12

Total Pages: 962

ISBN-13: 9788122415247

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How To Learn Calculus Of One Variable A Central Part In Many Branches Of Physics And Engineering. The Present Book Tries To Bring Out Some Of The Most Important Concepts Associates With The Theoretical Aspects Which Is Quite Exhaustively. The Entire Book In A Manner Can Help The Student To Learn The Methods Of Calculus And Theoretical Aspects.These Techniques Are Presented In This Book In A Lucid Manner With A Large Number Of Example, Students Will Easily Understand The Principles Of Calculus. It Helps To Solve Most Examples And Reasonings.This Book Mainly Caters To The Need Of Intermediate And Competitive Students, Who Will Find It A Pleasure In This Book. It Can Also Be Useful For All Users Of Mathematics And For All Mathematical Modelers.

Linguistic Semantics
Linguistic Semantics

Author: William Frawley

Publisher: Routledge

Published: 2013-11-05

Total Pages: 552

ISBN-13: 1135441707

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This volume is a comprehensive, up-to-date, and readable introduction to linguistic meaning. While partial to conceptual and typological approaches, the book also presents results from formal approaches. Throughout, the focus is on grammatical meaning -- the way languages delineate universal semantic space and encode it in grammatical form. Subjects covered by the author include: the domain of linguistic semantics and the basic tools, assumptions, and issues of semantic analysis; semantic properties of entities, events, and thematic roles; language and space; tense, aspect, and the internal structure and temporal ordering of events; modality, negation, and the epistemology of the speaker; and modification and attribution. In contrast to most current treatments of semantics, this book is accessible to the beginning student of semantics and linguistics and also useful to the advanced practitioner. A textbook and reference work in a single volume, it can be used in a number of disciplines: psychology, computer science, and anthropology as well as linguistics.

Multigrid Finite Element Methods for Electromagnetic Field Modeling
Multigrid Finite Element Methods for Electromagnetic Field Modeling

Author: Yu Zhu

Publisher: John Wiley & Sons

Published: 2006-03-10

Total Pages: 438

ISBN-13: 0471786373

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This is the first comprehensive monograph that features state-of-the-art multigrid methods for enhancing the modeling versatility, numerical robustness, and computational efficiency of one of the most popular classes of numerical electromagnetic field modeling methods: the method of finite elements. The focus of the publication is the development of robust preconditioners for the iterative solution of electromagnetic field boundary value problems (BVPs) discretized by means of finite methods. Specifically, the authors set forth their own successful attempts to utilize concepts from multigrid and multilevel methods for the effective preconditioning of matrices resulting from the approximation of electromagnetic BVPs using finite methods. Following the authors' careful explanations and step-by-step instruction, readers can duplicate the authors' results and take advantage of today's state-of-the-art multigrid/multilevel preconditioners for finite element-based iterative electromagnetic field solvers. Among the highlights of coverage are: * Application of multigrid, multilevel, and hybrid multigrid/multilevel preconditioners to electromagnetic scattering and radiation problems * Broadband, robust numerical modeling of passive microwave components and circuits * Robust, finite element-based modal analysis of electromagnetic waveguides and cavities * Application of Krylov subspace-based methodologies for reduced-order macromodeling of electromagnetic devices and systems * Finite element modeling of electromagnetic waves in periodic structures The authors provide more than thirty detailed algorithms alongside pseudo-codes to assist readers with practical computer implementation. In addition, each chapter includes an applications section with helpful numerical examples that validate the authors' methodologies and demonstrate their computational efficiency and robustness. This groundbreaking book, with its coverage of an exciting new enabling computer-aided design technology, is an essential reference for computer programmers, designers, and engineers, as well as graduate students in engineering and applied physics.

Discovering Modern Set Theory. II: Set-Theoretic Tools for Every Mathematician
Discovering Modern Set Theory. II: Set-Theoretic Tools for Every Mathematician

Author: Winfried Just

Publisher: American Mathematical Soc.

Published: 1996

Total Pages: 240

ISBN-13: 0821805282

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This is the second volume of a two-volume graduate text in set theory. The first volume covered the basics of modern set theory and was addressed primarily to beginning graduate students. The second volume is intended as a bridge between introductory set theory courses such as the first volume and advanced monographs that cover selected branches of set theory. The authors give short but rigorous introductions to set-theoretic concepts and techniques such as trees, partition calculus, cardinal invariants of the continuum, Martin's Axiom, closed unbounded and stationary sets, the Diamond Principle, and the use of elementary submodels. Great care is taken to motivate concepts and theorems presented.

Problems and Theorems in Classical Set Theory
Problems and Theorems in Classical Set Theory

Author: Peter Komjath

Publisher: Springer Science & Business Media

Published: 2006-05-02

Total Pages: 492

ISBN-13: 038730293X

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This volume contains a variety of problems from classical set theory and represents the first comprehensive collection of such problems. Many of these problems are also related to other fields of mathematics, including algebra, combinatorics, topology and real analysis. Rather than using drill exercises, most problems are challenging and require work, wit, and inspiration. They vary in difficulty, and are organized in such a way that earlier problems help in the solution of later ones. For many of the problems, the authors also trace the history of the problems and then provide proper reference at the end of the solution.

Basic Set Theory
Basic Set Theory

Author: Azriel Levy

Publisher: Courier Corporation

Published: 2012-06-11

Total Pages: 418

ISBN-13: 0486150739

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Although this book deals with basic set theory (in general, it stops short of areas where model-theoretic methods are used) on a rather advanced level, it does it at an unhurried pace. This enables the author to pay close attention to interesting and important aspects of the topic that might otherwise be skipped over. Written for upper-level undergraduate and graduate students, the book is divided into two parts. The first covers pure set theory, including the basic notions, order and well-foundedness, cardinal numbers, the ordinals, and the axiom of choice and some of its consequences. The second part deals with applications and advanced topics, among them a review of point set topology, the real spaces, Boolean algebras, and infinite combinatorics and large cardinals. A helpful appendix deals with eliminability and conservation theorems, while numerous exercises supply additional information on the subject matter and help students test their grasp of the material. 1979 edition. 20 figures.

Stochastic Interacting Systems in Life and Social Sciences
Stochastic Interacting Systems in Life and Social Sciences

Author: Nicolas Lanchier

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2024-07-01

Total Pages: 486

ISBN-13: 3110791889

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This volume provides an overview of two of the most important examples of interacting particle systems, the contact process, and the voter model, as well as their many variants introduced in the past 50 years. These stochastic processes are organized by domains of application (epidemiology, population dynamics, ecology, genetics, sociology, econophysics, game theory) along with a flavor of the mathematical techniques developed for their analysis.

Causality, Measurement Theory and the Differentiable Structure of Space-Time
Causality, Measurement Theory and the Differentiable Structure of Space-Time

Author: R. N. Sen

Publisher: Cambridge University Press

Published: 2010-02-11

Total Pages: 413

ISBN-13: 1139485377

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Introducing graduate students and researchers to mathematical physics, this book discusses two recent developments: the demonstration that causality can be defined on discrete space-times; and Sewell's measurement theory, in which the wave packet is reduced without recourse to the observer's conscious ego, nonlinearities or interaction with the rest of the universe. The definition of causality on a discrete space-time assumes that space-time is made up of geometrical points. Using Sewell's measurement theory, the author concludes that the notion of geometrical points is as meaningful in quantum mechanics as it is in classical mechanics, and that it is impossible to tell whether the differential calculus is a discovery or an invention. Providing a mathematical discourse on the relation between theoretical and experimental physics, the book gives detailed accounts of the mathematically difficult measurement theories of von Neumann and Sewell.