Principles Of Mathematical Analysis

Author: Walter Rudin
Editor: McGraw-Hill Publishing Company
ISBN: 9780070856134
Size: 18,76 MB
Format: PDF
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The third edition of this well known text continues to provide a solid foundation in mathematical analysis for undergraduate and first-year graduate students. The text begins with a discussion of the real number system as a complete ordered field. (Dedekind's construction is now treated in an appendix to Chapter I.) The topological background needed for the development of convergence, continuity, differentiation and integration is provided in Chapter 2. There is a new section on the gamma function, and many new and interesting exercises are included. This text is part of the Walter Rudin Student Series in Advanced Mathematics.

Principles Of Real Analysis

Author: S.C. Malik
Editor: New Age International
ISBN: 9780852265697
Size: 11,47 MB
Format: PDF, Kindle
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Principles Of Real Analysis

Author: S. L. Gupta
Editor:
ISBN: 9780706988246
Size: 18,73 MB
Format: PDF, ePub
Read: 720
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Principles Of Real Analysis

Author: Charalambos D. Aliprantis
Editor: Gulf Professional Publishing
ISBN: 9780120502578
Size: 14,31 MB
Format: PDF, Mobi
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With the success of its previous editions, Principles of Real Analysis, Third Edition, continues to introduce students to the fundamentals of the theory of measure and functional analysis. In this thorough update, the authors have included a new chapter on Hilbert spaces as well as integrating over 150 new exercises throughout. The new edition covers the basic theory of integration in a clear, well-organized manner, using an imaginative and highly practical synthesis of the "Daniell Method" and the measure theoretic approach. Students will be challenged by the more than 600 exercises contained in the book. Topics are illustrated by many varied examples, and they provide clear connections between real analysis and functional analysis. Gives a unique presentation of integration theory Over 150 new exercises integrated throughout the text Presents a new chapter on Hilbert Spaces Provides a rigorous introduction to measure theory Illustrated with new and varied examples in each chapter Introduces topological ideas in a friendly manner Offers a clear connection between real analysis and functional analysis Includes brief biographies of mathematicians

Principles Of Topology

Author: Fred H. Croom
Editor: Courier Dover Publications
ISBN: 0486810445
Size: 12,23 MB
Format: PDF, Kindle
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Topology is a natural, geometric, and intuitively appealing branch of mathematics that can be understood and appreciated by students as they begin their study of advanced mathematical topics. Designed for a one-semester introduction to topology at the undergraduate and beginning graduate levels, this text is accessible to students familiar with multivariable calculus. Rigorous but not abstract, the treatment emphasizes the geometric nature of the subject and the applications of topological ideas to geometry and mathematical analysis. Customary topics of point-set topology include metric spaces, general topological spaces, continuity, topological equivalence, basis, subbasis, connectedness, compactness, separation properties, metrization, subspaces, product spaces, and quotient spaces. In addition, the text introduces geometric, differential, and algebraic topology. Each chapter includes historical notes to put important developments into their historical framework. Exercises of varying degrees of difficulty form an essential part of the text.

A First Course In Analysis

Author: John B. Conway
Editor: Cambridge University Press
ISBN: 1107173140
Size: 17,66 MB
Format: PDF, ePub, Mobi
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This rigorous textbook is intended for a year-long analysis or advanced calculus course for advanced undergraduate or beginning graduate students. Starting with detailed, slow-paced proofs that allow students to acquire facility in reading and writing proofs, it clearly and concisely explains the basics of differentiation and integration of functions of one and several variables, and covers the theorems of Green, Gauss, and Stokes. Minimal prerequisites are assumed, and relevant linear algebra topics are reviewed right before they are needed, making the material accessible to students from diverse backgrounds. Abstract topics are preceded by concrete examples to facilitate understanding, for example, before introducing differential forms, the text examines low-dimensional examples. The meaning and importance of results are thoroughly discussed, and numerous exercises of varying difficulty give students ample opportunity to test and improve their knowledge of this difficult yet vital subject.

The Way Of Analysis

Author: Robert S. Strichartz
Editor: Jones & Bartlett Learning
ISBN: 9780763714970
Size: 14,33 MB
Format: PDF, Docs
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The Way of Analysis gives a thorough account of real analysis in one or several variables, from the construction of the real number system to an introduction of the Lebesgue integral. The text provides proofs of all main results, as well as motivations, examples, applications, exercises, and formal chapter summaries. Additionally, there are three chapters on application of analysis, ordinary differential equations, Fourier series, and curves and surfaces to show how the techniques of analysis are used in concrete settings.

Problems In Mathematical Analysis Continuity And Differentiation

Author: Wiesława J. Kaczor
Editor: American Mathematical Soc.
ISBN: 0821820516
Size: 13,19 MB
Format: PDF, ePub
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We learn by doing. We learn mathematics by doing problems. And we learn more mathematics by doing more problems. This is the sequel to Problems in Mathematical Analysis I (Volume 4 in the Student Mathematical Library series). If you want to hone your understanding of continuous and differentiable functions, this book contains hundreds of problems to help you do so. The emphasis here is on real functions of a single variable. The book is mainly geared toward students studying the basic principles of analysis. However, given its selection of problems, organization, and level, it would be an ideal choice for tutorial or problem-solving seminars, particularly those geared toward the Putnam exam. It is also suitable for self-study. The presentation of the material is designed to help student comprehension, to encourage them to ask their own questions, and to start research. The collection of problems will also help teachers who wish to incorporate problems into their lectures. The problems are grouped into sections according to the methods of solution. Solutions for the problems are provided.

Principles Of Mathematical Modeling

Author: Clive L. Dym
Editor: Academic Press
ISBN: 9780122265518
Size: 16,35 MB
Format: PDF, Mobi
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This book provides a readable and informative introduction to the development and application of mathematical models in science and engineering. The first half of the book begins with a clearly defined set of modeling principles, and then introduces a set of foundational tools (dimensional analysis, scaling techniques, and approximation and validation techniques). The second half then applies these foundational tools to a broad variety of subjects, including exponenttial growth and decay in fields ranging from biology to economics, traffic flow, free and forced vibration of mechanical and other systems, and optimization problems in biology, structures, and social decision making. An extensive collection of more than 360 problems offer ample opportunity in both a formal course and for the individual reader. (Midwest).

Principles Of Financial Engineering

Author: Salih N. Neftci
Editor: Academic Press
ISBN: 0125153945
Size: 16,43 MB
Format: PDF, ePub
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Bestselling author Salih Neftci presents a fresh, original, informative, and up-to-date introduction to financial engineering. The book offers clear links between intuition and underlying mathematics and an outstanding mixture of market insights and mathematical materials. Also included are end-of-chapter exercises and case studies. In a market characterized by the existence of large pools of liquid funds willing to go anywhere, anytime in search of a few points of advantage, there are new risks. Lacking experience with these new risks, firms, governmental entities, and other investors have been surprised by unexpected and often disastrous financial losses. Managers and analysts seeking to employ these new instruments and strategies to make pricing, hedging, trading, and portfolio management decisions require a mature understanding of theoretical finance and sophisticated mathematical and computer modeling skills. Important and useful because it analyzes financial assets and derivatives from the financial engineering perspective, this book offers a different approach than the existing finance literature in financial asset and derivative analysis. Seeking not to introduce financial instruments but instead to describe the methods of synthetically creating assets in static and in dynamic environments and to show how to use them, his book complements all currently available textbooks. It emphasizes developing methods that can be used in order to solve risk management, taxation, regulation, and above all, pricing problems. This perspective forms the basis of practical risk management. It will be useful for anyone learning about practical elements of financial engineering. * Exercises and case studies at end of each chapter and on-line Solutions Manual provided * Explains issues involved in day-to-day life of traders, using language other than mathematics * Careful and concise analysis of the LIBOR market model and of volatility engineering problems