BASIC NUMBER THEORY by S B Malik

BASIC NUMBER THEORY

ISBN 9780706987492 Price 270.00 Binding Paperback

S B Malik

ABOUT THE BOOK

This book…. Is designed to meet the needs of the first course in Number Theory for the undergraduate students of various Indian and foreign Universities. The students who are appearing at various competitive examinations where mathematics is on for testing shall also find it useful.

KEY FEATURES

•The treatment of the material is simple, lucid and methodical. •Numerous solved and unsolved examples along with the answers have been included so that it gives a complete grip of the various concepts. •Wherever necessary, alternative proofs have been provided and after each definition, examples have been given for better understanding. •The most important feature is that the book throws a glance to the most recent developments on some of the prominent assertions and problems in the subject which are accessible even to high school students.

TABLE OF CONTENTS

1.Preliminaries • 2.Divisibility Theory • 3.Congruences • 4.Some Special Congruences and Euler’s f–Functions • 5.Arithmetic Functions • 6.Primitive Roots • 7.Quadratic Congruences and Quadratic Reciprocity Law • 8.Perfect Numbers and Fermat’s Numbers • 9.Prime Number Theorem (Elementary Remarks) • 10.Representation of Integers as Sum of Squares • 11Partitions., Appendix 1, Appendix 2

About The Author

S B Malik- has been teaching in the department of Mathematics, Hindu College, Delhi, for over thirty years. During all these years, she has given several courses in Algebra to undergraduates and postgraduates at the college and also at both campuses of Delhi University. She has been teaching Number Theory for over a number of years. Her main interests are in fields of Algebra, Number Theory and Analysis.