01316nam2-2200409li-450 99000022791020331620180312154701.00-13-911991-40022791USA010022791(ALEPH)000022791USA01002279120001109h----1990990y0itay0103----baengUSText compressionTimothy C. Bell, John G. Cleary, Ian H. WittenEnglewood CliffsPrentice Hall(N.J.)copyr. 1990XVIII, 318 p.ill.24 cmPrentice Hall advanced reference series000100227922001Prentice Hall advanced reference serieselaborazione dei testi005Programmazione, programmi, datiBell,Timothy C.67745Cleary,John G.Witten,Ian H.Sistema bibliotecario di Ateneo dell' Università di SalernoRICA990000227910203316005 BEL001648000500102200BKSCI1995013120001110USA011714ALANDI9020010316USA01131420020403USA011631PATRY9020040406USA011616Text compression1489068UNISA04146nam 2200601Ia 450 991013959280332120170815154319.01-283-27392-697866132739251-118-16441-51-118-16443-1(CKB)2550000000054376(EBL)818909(OCoLC)757395461(SSID)ssj0000554953(PQKBManifestationID)11342793(PQKBTitleCode)TC0000554953(PQKBWorkID)10517636(PQKB)10116011(MiAaPQ)EBC818909(EXLCZ)99255000000005437620090331d2009 uy 0engur|n|---|||||txtccrIntroduction to real analysis[electronic resource] an educational approach /William C. BauldryHoboken, N.J. Wileyc20091 online resource (280 p.)Description based upon print version of record.0-470-37136-6 Includes bibliographical references (p. [253]-257) and index.Introduction to Real Analysis: An Educational Approach; CONTENTS; Preface; Acknowledgments; 1 Elementary Calculus; 1.1 Preliminary Concepts; 1.2 Limits and Continuity; 1.3 Differentiation; 1.4 Integration; 1.5 Sequences and Series of Constants; 1.6 Power Series and Taylor Series; Summary; Exercises; Interlude: Fermat, Descartes, and the Tangent Problem; 2 Introduction to Real Analysis; 2.1 Basic Topology of the Real Numbers; 2.2 Limits and Continuity; 2.3 Differentiation; 2.4 Riemann and Riemann-Stieltjes Integration; 2.5 Sequences, Series, and Convergence Tests2.6 Pointwise and Uniform ConvergenceSummary; Exercises; Interlude: Euler and the ""Basel Problem""; 3 A Brief Introduction to Lebesgue Theory; 3.1 Lebesgue Measure and Measurable Sets; 3.2 The Lebesgue Integral; 3.3 Measure, Integral, and Convergence; 3.4 Littlewood's Three Principles; Summary; Exercises; Interlude: The Set of Rational Numbers Is Very Large and Very Small; 4 Special Topics; 4.1 Modeling with Logistic Functions-Numerical Derivatives; 4.2 Numerical Quadrature; 4.3 Fourier Series; 4.4 Special Functions-The Gamma Function; 4.5 Calculus Without Limits: Differential AlgebraSummaryExercises; Appendix A: Definitions & Theorems of Elementary Real Analysis; A.1 Limits; A.2 Continuity; A.3 The Derivative; A.4 Riemann Integration; A.5 Riemann-Stieltjes Integration; A.6 Sequences and Series of Constants; A.7 Sequences and Series of Functions; Appendix B: A Brief Calculus Chronology; Appendix C: Projects in Real Analysis; C.1 Historical Writing Projects; C.2 Induction Proofs: Summations, Inequalities, and Divisibility; C.3 Series Rearrangements; C.4 Newton and the Binomial Theorem; C.5 Symmetric Sums of LogarithmsC.6 Logical Equivalence: Completeness of the Real NumbersC.7 Vitali's Nonmeasurable Set; C.8 Sources for Real Analysis Projects; C.9 Sources for Projects for Calculus Students; Bibliography; IndexAn accessible introduction to real analysis and its connection to elementary calculus Bridging the gap between the development and history of real analysis, Introduction to Real Analysis: An Educational Approach presents a comprehensive introduction to real analysis while also offering a survey of the field. With its balance of historical background, key calculus methods, and hands-on applications, this book provides readers with a solid foundation and fundamental understanding of real analysis. The book begins with an outline of basic calculus, including a close examination Mathematical analysisTextbooksFunctionsTextbooksElectronic books.Mathematical analysisFunctions515515.8Bauldry William C969080MiAaPQMiAaPQMiAaPQBOOK9910139592803321Introduction to real analysis2201566UNINA