Sophie Germain (1776-1831) was largely self-taught in mathematics and, two centuries ago, in solitude, devised and implemented a plan to prove Fermats Last Theorem. Pengelley has taken excerpts of her writings and, by asking his readers to decipher...Lasīt vairāk
Presents a friendly introduction to analytic number theory for both advanced undergraduate and beginning graduate students, and offers a comfortable transition between the two levels. Each chapter provides examples and exercises of varying difficult...Lasīt vairāk
In order to provide a streamlined and rigorous account of the explicit formulas of Riemann and von Mangoldt in analytic number theory, Plymen looks at the race between the prime counting function and the logarithmic integral forms. This emphasize...Lasīt vairāk
Freud and Gyarmati present a textbook for an undergraduate course in number theory for majors in mathematics, applied mathematics, mathematics education, and computer science. They include details about some aspects of number theory that go beyon...Lasīt vairāk
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...Lasīt vairāk
Prime numbers have fascinated mathematicians since the time of Euclid. This book presents some of our best tools to capture the properties of these fundamental objects, beginning with the most basic notions of asymptotic estimates and arriving at th...Lasīt vairāk
(Izdošanas datums: 30-Dec-2019, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9781470441579)
This book introduces number theory, developing examples before giving a formal definition and a theorem, to reveal how the concept arises naturally, to conjecture a theorem that describes an evident pattern, and to show how a proof of the theorem...Lasīt vairāk
(Izdošanas datums: 01-Dec-2019, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9781470441586)
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 a...Lasīt vairāk
(Izdošanas datums: 01-Dec-2019, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9781470447540)
Koukoulopoulos introduces analytic number theory to beginning graduate students and to advanced undergraduate students with a good grasp of analytic techniques. His emphasis in on exposing the main ideas rather than providing the most general res...Lasīt vairāk
(Izdošanas datums: 30-May-2018, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9781470443481)
A well-written, inviting textbook designed for a one-semester, junior-level course in elementary number theory. The approach throughout is geometric and intuitive; there are over 400 carefully designed exercises, which include a balance of calculati...Lasīt vairāk
Gives a comprehensive introduction to number theory, with complete proofs, worked examples, and exercises. The exposition reflects the most recent scholarship in mathematics and its history. Almost 500 sharp illustrations accompany elegant proofs, f...Lasīt vairāk
(Izdošanas datums: 01-May-2017, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9781470434939)
Weissman explores numbers, mostly whole numbers, equality and order, addition and multiplication, he says, leading to prime numbers, linear and quadratic equations, and number systems that are larger--or maybe just stranger--than whole numbers. T...Lasīt vairāk
(Izdošanas datums: 01-Sep-2016, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9781470430450)
If a sequence of generalized integers is generated by a sequence of generalized primes, and if one of the collections is "reasonably near" its classical counterpart, Diamond and Zhang ask whether the other collection also has this property....Lasīt vairāk
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Editors Kohel and Shparlinski present readers with a collection of scholarly research selected from work generated and presented at the Winter School and Workshop on Frobenius distributions on curves held in February of 2014 in Marseille, France. The...Lasīt vairāk
Editors A. C. Cojocaru, C. David, and F. Pappalardi present readers with a text highlighting presentations at a conference given in honor of the sixtieth birthday of mathematician M. Ram Murty in Montral, Canada in October of 2013. The selections...Lasīt vairāk
(Izdošanas datums: 28-Feb-2015, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9781470417062)
The textbook is for a first-year graduate course introducing the basics of analytic number theory. It has more material than can be covered in one semester, says Overholt, so instructors can tailor the course in several directions. Students should be...Lasīt vairāk
The second Women in Numbers workshop (WIN2) was held November 6-11, 2011, at the Banff International Research Station (BIRS) in Banff, Alberta, Canada. During the workshop, group leaders presented open problems in various areas of number theory, and...Lasīt vairāk