Introduction to Convergence

Science & Math

Malik, S.C.

Mathematics

John Wiley&Sons

Using updated terminology, this revision begins with a quick review of the essential properties of real numbers and gradually proceeds to more complex properties and topics, thus the basic ideas of real analysis are presented in a natural sequence. New additions include a chapter on metric spaces which contains various lucid examples, the topological framework--open and closed sets, convergence, completeness, compactness and connectedness--as well as numerous new exercises and solved examples to illustrate every important principle.

Mathematical Analysis

Arora, Savita

wiley

The purpose is to provide development of the subject-matter which is well motivated, rigorous and at the same time not too pedantic. Most of the hard theorems which are either omitted or treated rather skimply in many texts in advanced analysis have been proved with care. Some of them are ordinarily considered too difficult for a standard course in calculus but too elementary for a course of analysis. With the inclusion of those theorems, the book attempts to fill the gap and to make the transfer from elementary calculus to advanced course in analysis as smooth as possible.

John Wiley and Sons Ltd.

The book is intended to serve as a text in Mathematical Analysis for the undergraduate and postgraduate students of various universities. Professionals will also find this book useful. Key Features: - New edition in multi-colour with improvised figures - New version of outstanding textbook catering to international segments - Well developed, rigorous and not too pedantic subject matter - Application of modern methods to smooth out and shorten classical techniques - Special effort has been made to include most of the lecture notes based on authors decadal teaching experience

New Age International

The book has been made more illustrative and self-contained so as to cater to the need of students and teachers at graduate and postgraduate level. It is also meant for engineering students and other professionals as well as competitive examinations. To reinforce and solidify the understanding, some of the chapters have been rearranged and several new exercises and solved examples have been incorporated. The section on limits inferior and superior of sequences is introduced and discussed in detail. Every care has been taken to explain and elucidate the different concepts so as to provide conceptual clarity to the readers. KEY FEATURES: - Discusses the theory from its very beginning. - Foundations have been laid very carefully and the treatment is rigorous, and on modern lines. - The Riemann integration is treated in full. - Large number of well graded examples have been given and some of these have been solved.

Principles of Real Analysis

This book is intended to serve as a text in mathematical analysis for undergraduate and postgraduate students. It opens with a brief outline of the essential properties of rational numbers using Dedekind's cut, and the properties of real numbers are established. This foundation supports the subsequent chapters. The material of some of topics-real sequences and series, continuity, functions of several variables, elementary and implicit functions, Riemann and Riemann-Stieltjes integrals, Lebesgue integrals, line and surface Integrals, double and triple integrals are discussed in details. Uniform convergence, Power series, Fourier series, and Improper integrals have been presented in a simple and lucid manner. A large number of solved examples taken mostly from lecture notes make the book useful for the students. 
 A chapter on Metric Spaces discussing completeness, compactness and connectedness of the spaces and two appendices discussing Beta-Gamma functions and Cantor's theory of real numbers add glory to the contents of the book. 
 KEY FEATURES: 
-New version of outstanding textbook catering to international segments -Well developed, rigorous and not too pedantic subject matter -Application of modern methods to smooth out and shorten classical techniques -Special effort has been made to include most of the lecture notes based on author's decadal teaching experience 
 CONTENTS: 
 Real Numbers Open Sets, Closed Sets and Countable Sets Real Sequences Infinite Series Functions of a Single Variable (I) Functions of a Single Variable (II) Applications of Taylor's Theorem Functions The Riemann Integral The Riemann-Stieltjes Integral Improper Integrals Uniform Convergence Power Series Fourier Series Functions of Several Variables Implicit Functions Integration on R2 Integration on R3 Metric Spaces The Lebesgue Integral 
Also available:
Mathematical Physics for Engineers - ISBN 1906574022 Optimization Techniques - ISBN 1906574219

New Academic Science

Mathematical analysis

New Age International Private Limited Principles of Real Analysis

New Age International Private Limited

See the best price to sell, buy, or rent books by Malik, S.C.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Malik, S.C.

See the best price to sell, buy, or rent books by Malik, S.C.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Introduction to Convergence

Mathematical Analysis

Mathematical Analysis

Mathematical Analysis

Principles of Real Analysis

Mathematical Analysis

Mathematical analysis

New Age International Private Limited Principles of Real Analysis