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Author : Arthur T. Benjamin
Publisher : American Mathematical Soc.
ISBN 13 : 1470458438
Total Pages : 311 pages
Book Rating : 4.4/5 (74 download)
Download or read book Biscuits of Number Theory written by Arthur T. Benjamin and published by American Mathematical Soc.. This book was released on 2020-07-29 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Abraham Sinkov
Publisher : MAA
ISBN 13 : 9780883856475
Total Pages : 240 pages
Book Rating : 4.8/5 (564 download)
Download or read book Elementary Cryptanalysis written by Abraham Sinkov and published by MAA. This book was released on 2009-08-06 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the basic mathematical techniques involved in cryptanalysis.
Author : Oystein Ore
Publisher : American Mathematical Soc.
ISBN 13 : 0883856530
Total Pages : 134 pages
Book Rating : 4.8/5 (838 download)
Download or read book Invitation to Number Theory: Second Edition written by Oystein Ore and published by American Mathematical Soc.. This book was released on 2017-12-29 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: Number theory is the branch of mathematics concerned with the counting numbers, 1, 2, 3, … and their multiples and factors. Of particular importance are odd and even numbers, squares and cubes, and prime numbers. But in spite of their simplicity, you will meet a multitude of topics in this book: magic squares, cryptarithms, finding the day of the week for a given date, constructing regular polygons, pythagorean triples, and many more. In this revised edition, John Watkins and Robin Wilson have updated the text to bring it in line with contemporary developments. They have added new material on Fermat's Last Theorem, the role of computers in number theory, and the use of number theory in cryptography, and have made numerous minor changes in the presentation and layout of the text and the exercises.
Author : Roger B. Nelsen
Publisher : American Mathematical Soc.
ISBN 13 : 1470448467
Total Pages : 153 pages
Book Rating : 4.4/5 (74 download)
Download or read book Nuggets of Number Theory written by Roger B. Nelsen and published by American Mathematical Soc.. This book was released on 2018-08-07 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nuggets of Number Theory will attract fans of visual thinking, number theory, and surprising connections. This book contains hundreds of visual explanations of results from elementary number theory. Figurate numbers and Pythagorean triples feature prominently, of course, but there are also proofs of Fermat's Little and Wilson's Theorems. Fibonacci and perfect numbers, Pell's equation, and continued fractions all find visual representation in this charming collection. It will be a rich source of visual inspiration for anyone teaching, or learning, number theory and will provide endless pleasure to those interested in looking at number theory with new eyes. [Author]; Roger Nelsen is a long-time contributor of ``Proofs Without Words'' in the MAA's Mathematics Magazine and College Mathematics Journal. This is his twelfth book with MAA Press.
Author : John J. Watkins
Publisher : Princeton University Press
ISBN 13 : 1400848741
Total Pages : 592 pages
Book Rating : 4.4/5 (8 download)
Download or read book Number Theory written by John J. Watkins and published by Princeton University Press. This book was released on 2013-12-29 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: The natural numbers have been studied for thousands of years, yet most undergraduate textbooks present number theory as a long list of theorems with little mention of how these results were discovered or why they are important. This book emphasizes the historical development of number theory, describing methods, theorems, and proofs in the contexts in which they originated, and providing an accessible introduction to one of the most fascinating subjects in mathematics. Written in an informal style by an award-winning teacher, Number Theory covers prime numbers, Fibonacci numbers, and a host of other essential topics in number theory, while also telling the stories of the great mathematicians behind these developments, including Euclid, Carl Friedrich Gauss, and Sophie Germain. This one-of-a-kind introductory textbook features an extensive set of problems that enable students to actively reinforce and extend their understanding of the material, as well as fully worked solutions for many of these problems. It also includes helpful hints for when students are unsure of how to get started on a given problem. Uses a unique historical approach to teaching number theory Features numerous problems, helpful hints, and fully worked solutions Discusses fun topics like Pythagorean tuning in music, Sudoku puzzles, and arithmetic progressions of primes Includes an introduction to Sage, an easy-to-learn yet powerful open-source mathematics software package Ideal for undergraduate mathematics majors as well as non-math majors Digital solutions manual (available only to professors)
Author : Andrew Granville
Publisher : American Mathematical Soc.
ISBN 13 : 1470441578
Total Pages : 264 pages
Book Rating : 4.4/5 (74 download)
Download or read book Number Theory Revealed: An Introduction written by Andrew Granville and published by American Mathematical Soc.. This book was released on 2019-11-12 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 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.
Author : Andrew Granville
Publisher : American Mathematical Society
ISBN 13 : 1470463709
Total Pages : 587 pages
Book Rating : 4.4/5 (74 download)
Download or read book Number Theory Revealed: A Masterclass written by Andrew Granville and published by American Mathematical Society. This book was released on 2020-09-23 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: Number Theory Revealed: A Masterclass acquaints enthusiastic students 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, the anatomy of integers, and elliptic curves. This Masterclass edition contains many additional chapters and appendices not found in Number Theory Revealed: An Introduction, highlighting beautiful developments and inspiring other subjects in mathematics (like algebra). This allows instructors to tailor a course suited to their own (and their students') interests. There are new yet accessible topics like the curvature of circles in a tiling of a circle by circles, the latest discoveries on gaps between primes, a new proof of Mordell's Theorem for congruent elliptic curves, and a discussion of the $abc$-conjecture including its proof for polynomials. About the Author: Andrew Granville is the Canada Research Chair in Number Theory at the University of Montreal and professor of mathematics at University College London. He has won several international writing prizes for exposition in mathematics, including the 2008 Chauvenet Prize and the 2019 Halmos-Ford Prize, and is the author of Prime Suspects (Princeton University Press, 2019), a beautifully illustrated graphic novel murder mystery that explores surprising connections between the anatomies of integers and of permutations.
Author : Underwood Dudley
Publisher : MAA
ISBN 13 : 9780883853474
Total Pages : 156 pages
Book Rating : 4.8/5 (534 download)
Download or read book A Guide to Elementary Number Theory written by Underwood Dudley and published by MAA. This book was released on 2009 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introductory guide to elementary number theory for advanced undergraduates and graduates.
Author : Steven G. Krantz
Publisher : MAA
ISBN 13 : 9780883853467
Total Pages : 128 pages
Book Rating : 4.8/5 (534 download)
Download or read book A Guide to Topology written by Steven G. Krantz and published by MAA. This book was released on 2009-09-24 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Guide to Topology is an introduction to basic topology for graduate or advanced undergraduate students. It covers point-set topology, Moore-Smith convergence and function spaces. It treats continuity, compactness, the separation axioms, connectedness, completeness, the relative topology, the quotient topology, the product topology, and all the other fundamental ideas of the subject. The book is filled with examples and illustrations. Students studying for exams will find this book to be a concise, focused and informative resource. Professional mathematicians who need a quick review of the subject, or need a place to look up a key fact, will find this book to be a useful resource too.
Author : William Stein
Publisher : Springer Science & Business Media
ISBN 13 : 0387855254
Total Pages : 173 pages
Book Rating : 4.3/5 (878 download)
Download or read book Elementary Number Theory: Primes, Congruences, and Secrets written by William Stein and published by Springer Science & Business Media. This book was released on 2008-10-28 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book about prime numbers, congruences, secret messages, and elliptic curves that you can read cover to cover. It grew out of undergr- uate courses that the author taught at Harvard, UC San Diego, and the University of Washington. The systematic study of number theory was initiated around 300B. C. when Euclid proved that there are in?nitely many prime numbers, and also cleverly deduced the fundamental theorem of arithmetic, which asserts that every positive integer factors uniquely as a product of primes. Over a thousand years later (around 972A. D. ) Arab mathematicians formulated the congruent number problem that asks for a way to decide whether or not a given positive integer n is the area of a right triangle, all three of whose sides are rational numbers. Then another thousand years later (in 1976), Di?e and Hellman introduced the ?rst ever public-key cryptosystem, which enabled two people to communicate secretely over a public communications channel with no predetermined secret; this invention and the ones that followed it revolutionized the world of digital communication. In the 1980s and 1990s, elliptic curves revolutionized number theory, providing striking new insights into the congruent number problem, primality testing, publ- key cryptography, attacks on public-key systems, and playing a central role in Andrew Wiles’ resolution of Fermat’s Last Theorem.
Author : Tristin Cleveland
Publisher : Scientific e-Resources
ISBN 13 : 1839473266
Total Pages : 328 pages
Book Rating : 4.8/5 (394 download)
Download or read book Number Theory written by Tristin Cleveland and published by Scientific e-Resources. This book was released on 2018-04-11 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: In spite of the fact that arithmetic majors are generally familiar with number hypothesis when they have finished a course in conceptual polynomial math, different students, particularly those in training and the human sciences, regularly require a more essential prologue to the theme. In this book the writer takes care of the issue of keeping up the enthusiasm of understudies at the two levels by offering a combinatorial way to deal with basic number hypothesis. In concentrate number hypothesis from such a point of view, arithmetic majors are saved reiteration and furnished with new bits of knowledge, while different understudies advantage from the subsequent effortlessness of the verifications for some hypotheses. Of specific significance in this content is the creator's accentuation on the estimation of numerical cases in number hypothesis and the part of PCs in getting such illustrations. The point of this book is to acquaint the reader with essential subjects in number hypothesis: hypothesis of distinctness, arithmetrical capacities, prime numbers, geometry of numbers, added substance number hypothesis, probabilistic number hypothesis, hypothesis of Diophantine approximations and logarithmic number hypothesis.
Author : James S. Kraft
Publisher : CRC Press
ISBN 13 : 1498702694
Total Pages : 407 pages
Book Rating : 4.4/5 (987 download)
Download or read book Elementary Number Theory written by James S. Kraft and published by CRC Press. This book was released on 2014-11-24 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elementary Number Theory takes an accessible approach to teaching students about the role of number theory in pure mathematics and its important applications to cryptography and other areas. The first chapter of the book explains how to do proofs and includes a brief discussion of lemmas, propositions, theorems, and corollaries. The core of the tex
Author : Bennett Chow
Publisher : American Mathematical Society
ISBN 13 : 1470470276
Total Pages : 465 pages
Book Rating : 4.4/5 (74 download)
Download or read book Introduction to Proof Through Number Theory written by Bennett Chow and published by American Mathematical Society. This book was released on 2023-02-09 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lighten up about mathematics! Have fun. If you read this book, you will have to endure bad math puns and jokes and out-of-date pop culture references. You'll learn some really cool mathematics to boot. In the process, you will immerse yourself in living, thinking, and breathing logical reasoning. We like to call this proofs, which to some is a bogey word, but to us it is a boogie word. You will learn how to solve problems, real and imagined. After all, math is a game where, although the rules are pretty much set, we are left to our imaginations to create. Think of this book as blueprints, but you are the architect of what structures you want to build. Make sure you lay a good foundation, for otherwise your buildings might fall down. To help you through this, we guide you to think and plan carefully. Our playground consists of basic math, with a loving emphasis on number theory. We will encounter the known and the unknown. Ancient and modern inquirers left us with elementary-sounding mathematical puzzles that are unsolved to this day. You will learn induction, logic, set theory, arithmetic, and algebra, and you may one day solve one of these puzzles.
Author : Anthony Vazzana
Publisher : CRC Press
ISBN 13 : 1498717500
Total Pages : 426 pages
Book Rating : 4.4/5 (987 download)
Download or read book Introduction to Number Theory written by Anthony Vazzana and published by CRC Press. This book was released on 2015-11-18 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Number Theory is a classroom-tested, student-friendly text that covers a diverse array of number theory topics, from the ancient Euclidean algorithm for finding the greatest common divisor of two integers to recent developments such as cryptography, the theory of elliptic curves, and the negative solution of Hilbert's tenth problem.
Author : Harold M. Stark
Publisher :
ISBN 13 :
Total Pages : 347 pages
Book Rating : 4.:/5 (7 download)
Download or read book An Introduction to Number Theory written by Harold M. Stark and published by . This book was released on 1978 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David Burton
Publisher : McGraw Hill
ISBN 13 : 0077145089
Total Pages : 453 pages
Book Rating : 4.0/5 (771 download)
Download or read book EBOOK: Elementary Number Theory written by David Burton and published by McGraw Hill. This book was released on 2010-06-16 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elementary Number Theory, Seventh Edition, is written for the one-semester undergraduate number theory course taken by math majors, secondary education majors, and computer science students. This contemporary text provides a simple account of classical number theory, set against a historical background that shows the subject's evolution from antiquity to recent research. Written in David Burton’s engaging style, Elementary Number Theory reveals the attraction that has drawn leading mathematicians and amateurs alike to number theory over the course of history.
Author : Harvey Cohn
Publisher :
ISBN 13 :
Total Pages : 276 pages
Book Rating : 4.:/5 (636 download)
Download or read book Advanced number theory written by Harvey Cohn and published by . This book was released on 1962 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:
