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Real Analysis, 1/e


Real Analysis, 1/e
Author(s)  V. Karunakaran
ISBN  9788131757987
Imprint  Pearson Education
Copyright  2011
Pages  600
Binding  Paperback
List Price  Rs. 605.00
  
 
 

This text book is designed for an undergraduate course on mathematics. It covers the basic material that every graduate student should know in the classical theory of functions of real variables, measures, limits and continuity. This text book offers readability, practicality and flexibility. It presents fundamental theorems and ideas from a practical viewpoint, showing students the motivation behind mathematics and enabling them to construct their own proofs.
  • About the Author
  • Contents
  • Features
  • Downloadable Resources

V. Karunakaran has 35 years of research experience specializing in real, complex and functional analysis. He was a life member of the Indian Mathematical Society, Association of Mathematics Teachers of India, a fellow of the Forum D’Analystes, Chennai, and a regular reviewer for Zentralblatt für Mathematik.
 

  1. Basic Properties of the Real number system
  2. Some Finer Aspects of Set Theory
  3. Sequences and Series
  4. Topological aspects of the real line
  5. Limits and Continuity
  6. Differentiation
  7. Functions of Bounded variation
  8. Riemann Integration
  9. Sequences and series of functions
  10. Power series and special functions
  11. Fourier Series
  12. Real-valued Functions of two real variables
  13. Lebesgue Measure and Integration
  14. Lp – Spaces
 

  • Comprehensive coverage of sequence and series
  • Detailed coverage of topics like measure theory, set theory, limits and continuity
  • The theory is well explained, with an equal number of theorems and examples for all topics, including Lp spaces, real number system, measure theory and sequence and series
  • A very flexible presentation with a uniform writing style and notation, covering the material in small sections, which allows instructors and students to adapt this book to their syllabus
 
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