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
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
- Set I
Set II
Set III
Set IV
Set V
Set VI
Set VII
Set VIII
Set IX
Set X
- Set I
Set II
Set III
Set IV
Set V
Set VI
Set VII
Set VIII
Set IX
Set X
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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