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.
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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 number theory material.
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1: A Survey of Divisibility
2: Primes and Factorization
3: Theory of Modular Arithmetic
4: A Survey of Modular Arithmetic with Prime Moduli
5: Euler's Generalization of Fermat's Theorem
6: Primitive Roots and Indices
7: Quadratic Residues
8: Non-Linear Diophantine Equations
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Step-by-step explanations of concepts throughout
Enables self-study or distance learning, with explicit solutions available via companion website
Numerous examples are given to help aid understanding of number theory
Focuses on the study of positive integers using only elementary methods
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Kuldeep Singh has held the position of Senior Lecturer in Mathematics at the University of Hertfordshire for over twenty years, where he teaches linear algebra to entry level undergraduates. He is also the author of Engineering Mathematics through Applications (Palgrave Macmillan), a book that used widely as the basis for undergraduate studies in many different countries. He hosts and regularly updates his Maths for All website dedicated to mathematics. Senior
Lecturer in Mathematics at the University of Hertfordshire.
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Step-by-step explanations of concepts throughout
Enables self-study or distance learning, with explicit solutions available via companion website
Numerous examples are given to help aid understanding of number theory
Focuses on the study of positive integers using only elementary methods
Les mer
Produktdetaljer
ISBN
9780198846734
Publisert
2020
Utgiver
Vendor
Oxford University Press
Vekt
858 gr
Høyde
247 mm
Bredde
189 mm
Dybde
19 mm
Aldersnivå
UU, 05
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
398
Forfatter