Number Theory: Step by Step 1st Edition by Kuldeep Singh 9780192586056 019258605X

Number Theory: Step by Step 1st Edition Kuldeep Singh – Ebook Instant Download/Delivery ISBN(s): 2020944857, 9780192586056, 019258605X

Product details:

• ISBN 10: 019258605X
• ISBN 13: 9780192586056
• Author: Kuldeep Singh 

Number theory is one of the oldest branches of mathematics that is primarily concerned with positive integers. While it has long been studied for its beauty and elegance as a branch of pure mathematics, it has seen a resurgence in recent years with the advent of the digital world for its modern applications in both computer science and cryptography. Number Theory: Step by Step is an undergraduate-level introduction to number theory that assumes no prior knowledge, but works to gradually increase the reader’s confidence and ability to tackle more difficult material. The strength of the text is in its large number of examples and the step-by-step explanation of each topic as it is introduced to help aid understanding the abstract mathematics of number theory. It is compiled in such a way that allows self-study, with explicit solutions to all the set of problems freely available online via the companion website. Punctuating the text are short and engaging historical profiles that add context for the topics covered and provide a dynamic background for the subject matter.

Table contents:

Chapter 1: A Survey of Divisibility

Chapter 2: Primes and Factorization

Chapter 3: Theory of Modular Arithmetic

Chapter 4: A Survey of Modular Arithmetic with Prime Moduli

Chapter 5: Euler’s Generalization of Fermat’s Theorem

Chapter 6: Primitive Roots and Indices

Chapter 7: Quadratic Residues

Chapter 8: Non-Linear Diophantine Equations

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