This book provides an active-learning approach to combinatorial reasoning and proof through a thoughtful sequence of low threshold, high ceiling activities. A novel feature is its narrative format, with much of the text written from the perspective...Daugiau...
This book is a concrete introduction to abstract algebra and number theory. Starting from the basics, it develops the rich parallels between the integers and polynomials, covering topics such as Unique Factorization, arithmetic over quadratic numb...Daugiau...
(Išleidimo metai: 30-Nov-2023, Hardback, Leidėjas: American Mathematical Society, ISBN-13: 9781470471279)
This book provides an introduction to classical methods in commutative algebra and their applications to number theory, algebraic geometry, and computational algebra. The use of number theory as a motivating theme throughout the book provides a ri...Daugiau...
This book provides an introduction to classical methods in commutative algebra and their applications to number theory, algebraic geometry, and computational algebra. The use of number theory as a motivating theme throughout the book provides a ri...Daugiau...
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...Daugiau...
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...Daugiau...
Exploring Mathematics with CAS Assistance is designed as a textbook for an innovative mathematics major course in using a computer algebra system (CAS) to investigate, explore, and apply mathematical ideas and techniques in problem solving. The bo...Daugiau...
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...Daugiau...
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...Daugiau...
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...Daugiau...
(Išleidimo metai: 30-Dec-2019, Hardback, Leidėjas: 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...Daugiau...
(Išleidimo metai: 01-Dec-2019, Hardback, Leidėjas: 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...Daugiau...
(Išleidimo metai: 01-Dec-2019, Hardback, Leidėjas: 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...Daugiau...
(Išleidimo metai: 30-Oct-2019, Hardback, Leidėjas: American Mathematical Society, ISBN-13: 9781470449322)
The book originated as notes for a one-semester transition-to-proofs course in algebra, roughly equivalent to an introductory discrete mathematics course but with more group theory, says Hwang. It is for undergraduate mathematics majors with a so...Daugiau...
Garcia (Pomona College) and Miller (Williams College) have assembled 100 problems recognizing major events in mathematics over the last 100 years with the first problem giving a nod to the birth of Paul Erdos in 1913 and the last problem acknowle...Daugiau...
(Išleidimo metai: 01-Jun-2019, Hardback, Leidėjas: American Mathematical Society, ISBN-13: 9781470449339)
For students and researchers in applied mathematics who are interested in science and engineering, E, Li, and Vanden-Eijnden provide a mathematically solid introduction to the basic ideas and tools in probability theory and stochastic analysis. T...Daugiau...
(Išleidimo metai: 30-Oct-2018, Hardback, Leidėjas: American Mathematical Society, ISBN-13: 9781470446949)
Based on lectures delivered at the National University of Singapore, the graduate textbook introduces Gausss theory of binary quadratic forms and walks through a series of theorems for describing the set of prime numbers that can be represented...Daugiau...
(Išleidimo metai: 30-Jul-2018, Hardback, Leidėjas: American Mathematical Society, ISBN-13: 9781470442897)
Based on graduate courses taught at the University of South Florida, the text introduces the fundamentals of finite fields, addressing a number of issues related to the algebra and combinatorics of polynomials over finite fields, the characters o...Daugiau...
Contains hundreds of visual explanations of results from elementary number theory. Figurate numbers and Pythagorean triples feature prominently, but there are also proofs of Fermats Little and Wilsons Theorems. Fibonacci and perfect numbers, Pell...Daugiau...
(Išleidimo metai: 30-May-2018, Hardback, Leidėjas: 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...Daugiau...
