An Introduction to Basic Number Theory
PHI Learning (Verlag)
978-93-90544-47-9 (ISBN)
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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.
Abhijit Saha, PhD, is with the Department of Mathematics, Techno College of Engineering. Agartala. With nearly a decade of teaching experience, Dr. Saha has published several research articles in various journals of National and International repute. His areas of research interest are: fuzzy set theory, soft set theory and decision-making. Debjit Dutta, PhD (ISI Kolkata), is with the Department of Basic and Applied Science, NIT Arunachal Pradesh. He is the recipient of the Young Scientist award. He has published more than 20 research papers in international journal of repute with high impact factor. Dr. Dutta has also published three patents. Samarjit Kar, PhD, is Professor, Department of Mathematics, NIT Durgapur. He has been a visiting professor at Tsinghua University since 2009 and has delivered more than 17 invited talks at various Chinese Institutions. Dr. Kar was also a co-investigator of the sponsored project funded by Natural Science Foundation of China at Nankai University. With over two decades of teaching experience, he has published more than 150 research papers and published/edited five books. His areas of interests include optimization, soft computing, fuzzy mathematics and financial modelling.
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
| Erscheinungsdatum | 16.05.2022 |
|---|---|
| Sprache | englisch |
| Gewicht | 248 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie |
| ISBN-10 | 93-90544-47-5 / 9390544475 |
| ISBN-13 | 978-93-90544-47-9 / 9789390544479 |
| Zustand | Neuware |
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