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Undergraduate Texts in Mathematics

Real Analysis

Foundations and Functions of One Variable

Authors: Laczkovich, Miklós, T. Sós, Vera

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  • Includes insightful historical remarks regarding real analysis
  • Presents core ideas of analysis “as a way of thinking” as opposed to “a body of facts”
  • Explains how and why ideas arise, then how they evolve to the mature notions of real analysis
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eBook 35,69 €
price for Spain (gross)
  • ISBN 978-1-4939-2766-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 62,39 €
price for Spain (gross)
  • ISBN 978-1-4939-2765-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 46,79 €
price for Spain (gross)
  • ISBN 978-1-4939-4222-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this Textbook

Based on courses given at Eötvös Loránd University (Hungary) over the past 30 years, this introductory textbook develops the central concepts of the analysis of functions of one variable — systematically, with many examples and illustrations, and in a manner that builds upon, and sharpens, the student’s mathematical intuition. The book provides a solid grounding in the basics of logic and proofs, sets, and real numbers, in preparation for a study of the main topics: limits, continuity, rational functions and transcendental functions, differentiation, and integration. Numerous applications to other areas of mathematics, and to physics, are given, thereby demonstrating the practical scope and power of the theoretical concepts treated.

In the spirit of learning-by-doing, Real Analysis includes more than 500 engaging exercises for the student keen on mastering the basics of analysis. The wealth of material, and modular organization, of the book make it adaptable as a textbook for courses of various levels; the hints and solutions provided for the more challenging exercises make it ideal for independent study.

About the authors

Miklós Laczkovich is Professor of Mathematics at Eötvös Loránd University and the University College London, and was awarded the Ostrowski Prize in 1993 and the Széchenyi Prize in 1998. Vera T. Sós is a Research Fellow at the Alfréd Rényi Institute of Mathematics, and was awarded the Széchenyi Prize in 1997.

Reviews

“This book is written to be accessible to the competent university student. … The book is consistent in addressing the classical analysis of real functions of one real variable, and it can serve as an introduction to monographs of complex functions, functional analysis and differential equations, upon which it touches occasionally. It can also serve as an introduction to Lebesgue integration or to generalized functions, which are not mentioned.” (Luis Manuel Braga de Costa Campos, Mathematical Reviews, December, 2016)


Table of contents (20 chapters)

Table of contents (20 chapters)

Buy this book

eBook 35,69 €
price for Spain (gross)
  • ISBN 978-1-4939-2766-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 62,39 €
price for Spain (gross)
  • ISBN 978-1-4939-2765-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 46,79 €
price for Spain (gross)
  • ISBN 978-1-4939-4222-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Real Analysis
Book Subtitle
Foundations and Functions of One Variable
Authors
Series Title
Undergraduate Texts in Mathematics
Copyright
2015
Publisher
Springer-Verlag New York
Copyright Holder
Springer New York
eBook ISBN
978-1-4939-2766-1
DOI
10.1007/978-1-4939-2766-1
Hardcover ISBN
978-1-4939-2765-4
Softcover ISBN
978-1-4939-4222-0
Series ISSN
0172-6056
Edition Number
1
Number of Pages
X, 483
Topics