Problems in Real Analysis

  • Filename: problems-in-real-analysis.
  • ISBN: 9780387773780
  • Release Date: 2009-05-29
  • Number of pages: 452
  • Author: Teodora-Liliana Radulescu
  • Publisher: Springer Science & Business Media

This comprehensive collection of problems in mathematical analysis promotes creative, non-standard techniques to solve problems. It offers new tools and strategies to develop a connection between analysis and other disciplines such as physics and engineering.


  • Filename: polynomials.
  • ISBN: 9781441913111
  • Release Date: 2010-11-01
  • Number of pages: 268
  • Author: Asuman G. Aksoy
  • Publisher: Springer

Problems and Solutions in Real Analysis

  • Filename: problems-and-solutions-in-real-analysis.
  • ISBN: 9789812776013
  • Release Date: 2007
  • Number of pages: 292
  • Author: Masayoshi Hata
  • Publisher: World Scientific

This unique book provides a collection of more than 200 mathematical problems and their detailed solutions, which contain very useful tips and skills in real analysis. Each chapter has an introduction, in which some fundamental definitions and propositions are prepared. This also contains many brief historical comments on some significant mathematical results in real analysis together with useful references.Problems and Solutions in Real Analysis may be used as advanced exercises by undergraduate students during or after courses in calculus and linear algebra. It is also useful for graduate students who are interested in analytic number theory. Readers will also be able to completely grasp a simple and elementary proof of the prime number theorem through several exercises. The book is also suitable for non-experts who wish to understand mathematical analysis.

Selected Problems in Real Analysis

  • Filename: selected-problems-in-real-analysis.
  • ISBN: 0821897381
  • Release Date:
  • Number of pages: 370
  • Author: M. G. Goluzina
  • Publisher: American Mathematical Soc.

This book is intended for students wishing to deepen their knowledge of mathematical analysis and for those teaching courses in this area. It differs from other problem books in the greater difficulty of the problems, some of which are well-known theorems in analysis. Nonetheless, no special preparation is required to solve the majority of the problems. Brief but detailed solutions to most of the problems are given in the second part of the book. This book is unique in that the authors have aimed to systematize a range of problems that are found in sources that are almost inaccessible (especially to students) and in mathematical folklore.

Problems in Real Analysis

  • Filename: problems-in-real-analysis.
  • ISBN: 0120502534
  • Release Date: 1999
  • Number of pages: 403
  • Author: Charalambos D. Aliprantis
  • Publisher:

This volume aims to teach the basic methods of proof and problem-solving by presenting the complete solutions to over 600 problems that appear in the companion "Principles of Real Analysis", 3rd edition.

Problems and Theorems in Analysis I

  • Filename: problems-and-theorems-in-analysis-i.
  • ISBN: 3540636404
  • Release Date: 1997-12-11
  • Number of pages: 393
  • Author: George Polya
  • Publisher: Springer Science & Business Media

From the reviews: "The work is one of the real classics of this century; it has had much influence on teaching, on research in several branches of hard analysis, particularly complex function theory, and it has been an essential indispensable source book for those seriously interested in mathematical problems." Bulletin of the American Mathematical Society

Basic Real Analysis

  • Filename: basic-real-analysis.
  • ISBN: 0817642110
  • Release Date: 2003-06-03
  • Number of pages: 559
  • Author: Houshang H. Sohrab
  • Publisher: Springer Science & Business Media

Basic Real Analysis demonstrates the richness of real analysis, giving students an introduction both to mathematical rigor and to the deep theorems and counter examples that arise from such rigor. In this modern and systematic text, all the touchstone results and fundamentals are carefully presented in a style that requires little prior familiarity with proofs or mathematical language. With its many examples, exercises and broad view of analysis, this work is ideal for senior undergraduates and beginning graduate students, either in the classroom or for self-study.

Advanced Real Analysis

  • Filename: advanced-real-analysis.
  • ISBN: 0817644423
  • Release Date: 2008-07-11
  • Number of pages: 466
  • Author: Anthony W. Knapp
  • Publisher: Springer Science & Business Media

* Presents a comprehensive treatment with a global view of the subject * Rich in examples, problems with hints, and solutions, the book makes a welcome addition to the library of every mathematician

Problems in Real and Complex Analysis

  • Filename: problems-in-real-and-complex-analysis.
  • ISBN: 038797766X
  • Release Date: 1992-06-18
  • Number of pages: 488
  • Author: Bernard R. Gelbaum
  • Publisher: Springer Science & Business Media

In the pages that follow there are: A. A revised and enlarged version of Problems in analysis (PIA) . (All typographical, stylistic, and mathematical errors in PIA and known to the writer have been corrected.) B. A new section COMPLEX ANALYSIS containing problems distributed among many of the principal topics in the theory of functions of a complex variable. C. A total of 878 problems and their solutions. D. An enlarged Index/Glossary and an enlarged Symbol List. Notational and terminological conventions are to be found for the most part under Conventions at the beginnings of the chapters. Spe cial items not included in Conventions are completely explained in the Index/Glossary. The audience to which the current book is addressed differs little from the audience for PIA. The background of the reader is assumed to include a knowledge of the basic principles and theorems in real and complex analysis as those subjects are currently viewed. The aim of the problems is to sharpen and deepen the understanding of the mechanisms that underlie modern analysis. I thank Springer-Verlag for its interest in and support of this project. State University of New York at Buffalo B. R. G. v Contents The symbol alb under Pages below indicates that the Problems for the section begin on page a and the corresponding Solutions begin on page b. Thus 3/139 on the line for Set Algebra indicates that the Problems in Set Algebra begin on page 3 and the corresponding Solutions begin on page 139.

Real Analysis

  • Filename: real-analysis.
  • ISBN: 0521497566
  • Release Date: 2000-08-15
  • Number of pages: 401
  • Author: N. L. Carothers
  • Publisher: Cambridge University Press

This is a course in real analysis directed at advanced undergraduates and beginning graduate students in mathematics and related fields. Presupposing only a modest background in real analysis or advanced calculus, the book offers something to specialists and non-specialists alike, including historical commentary, carefully chosen references, and plenty of exercises.

Problems and Proofs in Real Analysis

  • Filename: problems-and-proofs-in-real-analysis.
  • ISBN: 9789814578523
  • Release Date: 2014-01-15
  • Number of pages: 500
  • Author: J Yeh
  • Publisher: World Scientific Publishing Co Inc

This volume consists of the proofs of 391 problems in Real Analysis: Theory of Measure and Integration (3rd Edition). Most of the problems in Real Analysis are not mere applications of theorems proved in the book but rather extensions of the proven theorems or related theorems. Proving these problems tests the depth of understanding of the theorems in the main text. This volume will be especially helpful to those who read Real Analysis in self-study and have no easy access to an instructor or an advisor.

Basic Real Analysis

  • Filename: basic-real-analysis.
  • ISBN: 9780817644413
  • Release Date: 2007-10-04
  • Number of pages: 656
  • Author: Anthony W. Knapp
  • Publisher: Springer Science & Business Media

Systematically develop the concepts and tools that are vital to every mathematician, whether pure or applied, aspiring or established A comprehensive treatment with a global view of the subject, emphasizing the connections between real analysis and other branches of mathematics Included throughout are many examples and hundreds of problems, and a separate 55-page section gives hints or complete solutions for most.

Real Analysis

  • Filename: real-analysis.
  • ISBN: 9780486445243
  • Release Date: 2005-11-03
  • Number of pages: 448
  • Author: Gabriel Klambauer
  • Publisher: Courier Corporation

This text for graduate students introduces contemporary real analysis with a particular emphasis on integration theory. Explores the Lebesgue theory of measure and integration of real functions; abstract measure and integration theory as well as topological and metric spaces. Additional topics include Stone's formulation of Daniell integration and normed linear spaces. Includes exercises. 1973 edition. Index.

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