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Real analysis on intervals

Author: A D R Choudary; Constantin P Niculescu
Publisher: New Delhi : Springer India : Imprint : Springer, 2014.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
The book targets undergraduate and postgraduate mathematics students and helps them develop a deep understanding of mathematical analysis. Designed as a first course in real analysis, it helps students learn how abstract mathematical analysis solves mathematical problems that relate to the real world. As well as providing a valuable source of inspiration for contemporary research in mathematics, the book helps  Read more...
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Genre/Form: Electronic resource
Additional Physical Format: Printed edition:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: A D R Choudary; Constantin P Niculescu
ISBN: 9788132221487 8132221486 8132221478 9788132221470
OCLC Number: 899249201
Description: 1 online resource (xi, 525 pages) : illustrations
Contents: Preface --
Chapter 1. The Real Numbers --
Chapter 2. Limits of Real Sequences --
Chapter 3. The Euclidean Spaces RP and C --
Chapter 4. Numerical Series --
Chapter 5. Metric and Topology --
Chapter 6. Continuous Functions --
Chapter 7. Elementary Functions --
Chapter 8. Differential Calculus on R --
Chapter 9. The Riemann Integral --
Chapter 10. Improper Riemann Integrals --
Chapter 11. The Theory of Lebesgue Integral --
Chapter 12. Fourier Series --
Appendices.
Responsibility: by A.D.R. Choudary, Constantin P. Niculescu.

Abstract:

The book targets undergraduate and postgraduate mathematics students and helps them develop a deep understanding of mathematical analysis.  Read more...

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"The authors of this book intend to familiarize the reader with the basic concepts, principles, and methods of analysis and to ease access to more advanced topics. ... Every section of the book ends Read more...

 
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