Sunday 22 July 2012

Elementary Number Theory: A Collection Of Problems With Solutions (Paperback) by V K Krishnan

Buy Elementary Number Theory: A Collection Of Problems With Solutions: Book Price 275/=


Book Summary of Elementary Number Theory: A Collection Of Problems With Solutions

This book gives a brief introduction to elementary number theory and includes a collection of three hundred problems and their solutions. Number theory deals with the properties of integers. The most interesting and important property of integers is that of divisibility and congruence.

This is primarily a problem book aimed at school students preparing for talent tests like the mathematical Olympiads. Most of the problems are chosen from question papers of the regional, national and international mathematical Olympiads and the talent tests conducted by the Association of Mathematics Teachers of India. Some are taken from standard textbooks, and some are new.

Undergraduate students keen to learn elementary number theory through interesting problems will find the book a good resource. The book is suitable for self-study since the proofs of theorems and solutions to problems are given in detail.

About The Author
V K Krishnan, formerly, Professor of Mathematics, St. Thomas College, Thrissur, Kerala, obtained his PhD in Mathematics from the University of Calicut, Kerala. He is the author of Textbook of Functional Analysis – A Problem-oriented Approach (Prentice-Hall of India) and Fundamentals of Real Analysis (Pearson Education), and has published many research papers in international journals. His main interest lies in gap Tauberian theorems in summability theory, a branch of classical analysis.

Table Of Contents
Preface
Chapter 1. Basic Properties of Integers
    1. Divisibility Primes
    The greatest common divisor and least common multiple
    The binomial coefficients
    Linear Diophantine equations
    2. Congruences
    Residue systems
    Linear congruences
    Lagrange’s Theorem
    3. Fermat’s Theorem
    Pseudoprimes and Carmichael numbers
    4. Number-theoretic functions
    Euler’s function
    Divisor functions
    The greatest integer function
    5. Quadratic Residues
    6. Primitive Roots
    7. Miscellaneous
    Pythagorean triples
Chapter 2. Problems
    Set I
    Set II
    Set III
    Set IV
    Set V
    Set VI
    Set VII
    Set VIII
    Set IX
    Set X
Chapter 3. Solutions
    Set I
    Set II
    Set III
    Set IV
    Set V
    Set VI
    Set VII
    Set VIII
    Set IX
    Set X
Index

Details of Book: Elementary Number Theory: A Collection Of Problems With Solutions

Book:Elementary Number Theory: A Collection Of Problems With Solutions
Author:V K Krishnan
ISBN:8173717435
ISBN-13:

9788173717437

978-8173717437

Binding:Paperback
Publishing Date:2012
Publisher:Universities Press
Edition:1stEdition
Number of Pages:260
Language:English

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