About this product

Product Identifiers

PublisherJones & Bartlett Learning, LLC

ISBN-100763714976

ISBN-139780763714970

eBay Product ID (ePID)1880845

Product Key Features

Number of Pages740 Pages

Publication NameWay of Analysis

LanguageEnglish

Publication Year2000

SubjectProbability & Statistics / General, General, Mathematical Analysis

FeaturesRevised

TypeTextbook

Subject AreaMathematics

AuthorRobert S. Strichartz

FormatTrade Paperback

Dimensions

Item Height0.6 in

Item Weight23.5 Oz

Item Length9.8 in

Item Width5.9 in

Additional Product Features

Intended AudienceCollege Audience

LCCN2002-281840

Dewey Edition21

TitleLeadingThe

IllustratedYes

Dewey Decimal515

Edition DescriptionRevised edition

Table Of Content1. Preliminaries1.1 The Logic of Quantifiers1.2 Infinite Sets1.3 Proofs1.4 The Rational Number System1.5 The Axiom of Choice2. Construction of the Real Number System2.1 Cauchy Sequences2.2 The Reals as an Ordered Field2.3 Limits and Completeness2.4 Other Versions and Visions2.5 Summary3. Topology of the Real Line3.1 The Theory of Limits3.2 Open Sets and Closed Sets3.3 Compact Sets3.4 Summary4. Continuous Functions4.1 Concepts of Continuity4.2 Properties of Continuous Functions4.3 Summary5. Differential Calculus5.1 Concepts of the Derivative5.2 Properties of the Derivative5.3 The Calculus of Derivatives5.4 Higher Derivatives and Taylor's Theorem5.5 Summary6. Integral Calculus6.1 Integrals of Continuous Functions6.2 The Riemann Integral6.3 Improper Integrals6.4 Summary7. Sequences and Series of Functions7.1 Complex Numbers7.2 Numerical Series and Sequences7.3 Uniform Convergence7.4 Power Series7.5 Approximation by Polynomials7.6 Equicontinuity7.7Summary8. Transcendental Functions8.1 The Exponential and Logarithm8.2 Trigonometric Functions8.3 Summary9. Euclidean Space and Metric Spaces9.1 Structures on Euclidean Space9.2 Topology of Metric Spaces9.3 Continuous Functions on Metric Spaces9.4 Summary10. Differential Calculus in Euclidean Space10.1 The Differential10.2 Higher Derivatives10.3 Summary11. Ordinary Differential Equations11.1 Existence and Uniqueness11.2 Other Methods of Solution11.3 Vector Fields and Flows11.4 Summary12. Fourier Series12.1 Origins of Fourier Series12.2 Convergence of Fourier Series12.3 Summary13. Implicit Functions, Curves, and Surfaces13.1 The Implicit Function Theorem13.2 Curves and Surfaces13.3 Maxima and Minima on Surfaces13.4 Arc Length13.5 Summary14. The Lebesgue Integral14.1 The Concept of Measure14.2 Proof of Existence of Measures14.3 The Integral14.4 The Lebesgue Spaces L1 and L214.5 Summary15. Multiple Integral15.1 Interchange of Integrals15.2 Change of Variable in Multiple Integrals15.3 Summary

SynopsisFlexible enough to be used in one- or two-term course with or without Lebesgue integral. Strong motivation with theorems and examples are introduced in a context that makes them seem natural. Extensive chapter summaries provide a outline for revi, 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., 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. The Way of Analysis is intended for a one- or two-semester real analysis course, including or not including an introduction to Lebesgue integration, at the undergraduate or beginning graduate level. Introduction to Real Analysis Real Analysis I & II Principles of Analysis Applied Real Analysis (c) 2000 739 pages, 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. The Way of Analysis is intended for a one- or two-semester real analysis course, including or not including an introduction to Lebesgue integration, at the undergraduate or beginning graduate level. Introduction to Real Analysis Real Analysis I & II Principles of Analysis Applied Real Analysis © 2000 739 pages

LC Classification NumberQA300.S888 2000