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Full Description
The text book is intended for the undergraduate courses in mathematics. The utmost care has been taken to ensure that all the essential topics in Number Theory are adequately emphasized. It helps the students to assimilate the fundamental concepts to advanced level theories and the techniques for solving different types of problems. The example driven approach will help readers in understanding and applying the concepts of Number Theory through clear and precise explanations and thoughtfully chosen solved problems.
Key Features
This book provides a balanced and comprehensive coverage of all topics essential to master the subject at the UG level.
Flexible in format, this book explains concepts clearly and logically with an abundance of examples and illustrations.
It promotes in-depth understanding of the subject rather than rote memorization.
Contents
Preface
1. Divisibility Theory
2. Congruence
3. Number Theoretic Functions
4. Fermat's Theorem and it's Applications
5. Primitive Roots
6. Quadratic Congruence
7. Perfect Numbers, Mersenne Primes & Fermat Numbers
8. Representation of Integers as a Sum Of Squares
Appendix: Linear and Non-Linear Diophantine Equations
Index