Presents a fascinating collection of topics from analytic number theory that provides an introduction to the subject with a very clear and unique focus on the anatomy of integers, that is, on the study of the multiplicative structure of the integers...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: 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-Jul-2018, Hardback, Izdevniecība: 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...Lasīt vairāk
(Izdošanas datums: 30-Mar-2017, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9781470430955)
Sauloy presents a textbook for a course on differential Galois theory that involves only complex analytic linear differential equations, and is not based on the general algebraic formalism of differential algebra, but on complex function theory....Lasīt vairāk
(Izdošanas datums: 30-Aug-2015, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9780821898543)
Šī grāmata vairs netiek publicēta. Jums tiks paziņota lietotas grāmatas cena
Tenenbaum introduces young researchers to the analytic methods of number theory, and provides their elders with a source of reference for a number of fundamental questions. Looking in turn at elementary methods, complex analysis methods, and probabil...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
This book provides a self contained, thorough introduction to the analytic and probabilistic methods of number theory. The prerequisites being reduced to classical contents of undergraduate courses, it offers to students and young researchers a syst...Lasīt vairāk
(Izdošanas datums: 13-Sep-2012, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9780821875773)
Focusing on the many approaches to analytic number theory, including arithmetic functions that illustrate the multiplicative structure of the integers (hence the term anatomy of integers, an expression coined by the authors and a third mathematician,...Lasīt vairāk
(Izdošanas datums: 02-Dec-2008, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9780821844656)
The arithmetic theory of quadratic forms is a rich branch of number theory that has had important applications to several areas of pure mathematics - particularly group theory and topology - as well as to cryptography and coding theory. This book is...Lasīt vairāk
(Izdošanas datums: 28-Feb-2007, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9780821839607)
Stein (mathematics, U. of Washington) fills the gap in the literature on classical modular forms with this unique approach that centers on computation throughout, defining what modular forms are and showing in detail how one can compute everything ab...Lasīt vairāk
(Izdošanas datums: 01-Dec-2006, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9780821805701)
Volume 73 in the series presents the commutative view, and this textbook continues it, starting with chapter 13. It grew out of a course introducing complex presentations of finite groups through the structure of group algebras and their modules. It...Lasīt vairāk
(Izdošanas datums: 30-Dec-2004, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9780821810958)
Lam presents an updated and renamed version of The Algebraic Theory of Quadratic Forms (Benjamin, 1973; revised edition, 1980). New results and new viewpoints in quadratic forms theory from the past decade have been incorporated into the original tex...Lasīt vairāk
(Izdošanas datums: 01-Jan-2003, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9780821831601)
Iwaniec (mathematics, Rutgers U.) presents an expanded version of eleven lectures (addressed to advanced graduate students) in this area of analytic number theory. He presents the basic theory of automorphic forms for Fuchsian groups acting on a hype...Lasīt vairāk
Automorphic forms are one of the central topics of analytic number theory. In fact, they sit at the confluence of analysis, algebra, geometry, and number theory. In this book, Henryk Iwaniec once again displays his penetrating insight, powerful anal...Lasīt vairāk
(Izdošanas datums: 30-Oct-2001, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9780821820193)
A graduate-level text on the classical groups: groups of matrices, or (more often) quotients of matrix groups by small normal subgroups. It pulls together into a single source the basic facts about classical groups defined over fields, together with...Lasīt vairāk
(Izdošanas datums: 30-Sep-2001, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9780821813928)
A textbook designed to be used in a graduate course on analysis or analytic number theory for mathematics students who have a reasonable knowledge of the theory of functions of a complex variable, and the Riemann mapping theorem, and enough mathemati...Lasīt vairāk
(Izdošanas datums: 30-Jun-2000, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9780821820544)
A graduate text introducing algebraic number theory and extending it to algebraic functions of a single variable. Koch assumes readers to have a good knowledge of linear algebra and field theory. His treatment goes to up, but barely mentions, class f...Lasīt vairāk
(Izdošanas datums: 30-Oct-1997, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9780821807774)
This volume discusses various perspectives of the theory of automorphic forms drawn from the authors notes from a Rutgers University graduate course. In addition to detailed and often nonstandard treatment of familiar theoretical topics, the author...Lasīt vairāk
(Izdošanas datums: 01-May-1996, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9780821802670)
A text for a year-long introduction to arithmetic geometry, leading the reader in a logical progression from the local to the global properties of rings and curves through the study of class groups and of the Riemann-Roch theorem. Emphasizes the conn...Lasīt vairāk
