Real Analysis

Compiled and Edited by R.K. Singh

ISBN 10: 9380350120 / ISBN 13: 9789380350127

Published by Knowledge Book, 2010

About this Item

Contents Preface 1 Natural Number 2 Real and Complex Numbers 3 Sequences 4 Infinite Series 5 Harmonic Series 6 Power Series 7 Fourier Series 8 Cauchy Convergence 9 Limits and Continuity 10 Differential Calculus 11 Differentiability 12 Techniques of Integration 13 Improper Integrals 14 Multivariable Calculus 15 Laplace Transforms Bibliography IndexReal Analysis or theory of functions of a real variable is a significant branch dealing with the set of real numbers In particular it deals with the analytic properties of real functions and sequences including convergence and limits of sequences of real numbers the calculus of the real numbers and continuity smoothness and related properties of real-valued functions Real analysis is an area of analysis which studies concepts such as sequences and their limits continuity differentiation integration and sequences of functions By definition real analysis of focuses on the real numbers often including positive or negative infinity The real numbers have several important lattice-theoretic properties that are absent in the complex numbers Most importantly the real numbers form an ordered filed in which addition and multiplication preserve positivityPresent book covers all dimensions of the subject particularly aimed at the students who intend to master in this field of Mathematics This book is an asset for all scholars researchers and students Jacket 378 pp.

Seller Inventory # 85597

Bibliographic Details

• Title: Real Analysis
• Publisher: Knowledge Book
• Publication Date: 2010
• Language: English
• ISBN 10: 9380350120
• ISBN 13: 9789380350127
• Binding: Hardcover
• Dust Jacket Condition: Dust Jacket Included

About this title

Synopsis

About the Book :- This book 'Real Analysis' is primarily designed for the undergraduate students of GGS Indraprastha University and reflects my understanding of the requirements of students. In addition, this book would be extremely useful for all the students studying Real Analysis at the undergraduate level at other Indian Universities. Some of the salient features of this book are :- ? It covers the entire syllabus of BCA III sem of GGSIPU and many other Indian Universities. ? The text material is self-explanatory and the language is vivid and lucid. ? For each topic several solved examples, carefully selected to cover all aspects of the topic are covered. ? Most of the questions conform to trend questions appearing in GGSIPU. Contents :- 1. Complex Number, 2. Sequence, 3. Infinite Series, 4. Vector Calculus, 5. Fourier Series, 6. Ordinary Differential Equations, 7. Linear Differential Equation of Higher Order and Special Methods. About the Author :- J. P. Singh is Professor in Department of Mathematics at Jagan Institute of Management Studies, Rohini, Delhi. He has more than 10 years of rich experience of teaching Real Analysis, Mathematical Statistics, Calculus, Numerical Methods and Discrete Mathematics to the students of MCA and BCA. He has taught at various affiliated Institutes of GGSIPU. His areas of interest include Mathematical Statistics, Number Theory, Theory of Computation, Numerical Methods, Discrete Mathematics and Real Analysis.