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Andrew Granville - Number Theory Revealed: an Introduction, Häftad

Häftad, Engelska, 2019

Number Theory Revealed: an Introduction

Av Andrew Granville

1239 kr

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Beskrivning
Number Theory Revealed: An Introduction acquaints undergraduates with the ""Queen of Mathematics"". The text offers a fresh take on congruences, power residues, quadratic residues, primes, and Diophantine equations and presents hot topics like cryptography, factoring, and primality testing. Students are also introduced to beautiful enlightening questions like the structure of Pascal's triangle mod $p$ and modern twists on traditional questions like the values represented by binary quadratic forms and large solutions of equations. Each chapter includes an ""elective appendix"" with additional reading, projects, and references. An expanded edition, Number Theory Revealed: A Masterclass, offers a more comprehensive approach to these core topics and adds additional material in further chapters and appendices, allowing instructors to create an individualized course tailored to their own (and their students') interests.
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Andrew Granville, University of Montreal, Quebec, Canada, University College London, England, and (formerly) University of Georgia, Athens, GA.

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In Number Theory Revealed: An Introduction, Andrew Granville presents a fresh take on the classic structure of a number theory textbook. While it includes the standard topics that one would expect to find in a textbook on elementary number theory, it is also filled throughout with related problems, different approaches to proving key theorems, and interesting digressions that will be of interest even to more advanced readers. At the same time, it assumes relatively little background --- starting, for example, with an introductory chapter on induction --- making it accessible to a wide audience."" - Nathan McNew (Towson University), MAA Reviews""I strongly recommend the reading of Number Theory Revealed (the 'Masterclass' in particular) not only to all mathematicians but also to anybody scientifically inclined and curious about what mathematics is and how it is done. Not only are the topics well chosen and well presented, but this book is a real page-turner. How often can you say that about a mathematical textbook? Chapeau!"" - Marco Abate, The Mathematical Intelligencer

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