(Išleidimo metai: 31-Aug-2025, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781009504553)
This comprehensive introduction to number theory will reward students and researchers with its insight and thoroughness. Suitable for course use and self-study, it avoids unnecessary abstraction and provides a wealth of thought-provoking examples and...Daugiau...
(Išleidimo metai: 12-Dec-2024, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781009538640)
Understanding the natural numbers, which we use to count things, comes naturally. Meanwhile, the real numbers, which include a wide range of numbers from whole numbers to fractions to exotic ones like p, are, frankly, really difficult to describe rig...Daugiau...
Whole numbers, fractions, decimals: we frequently use them, but what are they exactly? How about exotic numbers like the square root of 2 or p? You dont need to be a graduate student to explore the core ideas behind the construction of the real numb...Daugiau...
(Išleidimo metai: 12-Dec-2024, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781009457538)
A practical introduction to the mathematical theory of modular forms and its physical applications to string theory, suitable for undergraduate and graduate students, and researchers who wish to navigate the intersection of cutting-edge physics and m...Daugiau...
This book provides a tool-kit for the advanced study of symmetry, one of the most important concepts in mathematics and physics. Full of detailed examples, it discusses some of the most exciting interactions between operator algebras and representat...Daugiau...
Serija: Encyclopedia of Mathematics and its Applications
(Išleidimo metai: 12-Oct-2023, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781009384803)
This three-volume work presents the main known equivalents to the Riemann hypothesis, perhaps the most important problem in mathematics. Volume 3 covers new arithmetic and analytic equivalences from numerous studies in the field, such as Rogers and T...Daugiau...
Vladimir Platonov, Andrei Rapinchuk, Igor Rapinchuk
Serija: Cambridge Studies in Advanced Mathematics
(Išleidimo metai: 07-Sep-2023, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9780521113618)
This is the first volume of a two-volume book that offers an in-depth, and essentially self-contained, treatment of the arithmetic theory of algebraic groups. It is accessible to graduate students and researchers in number theory, algebraic geometry...Daugiau...
(Išleidimo metai: 31-Aug-2023, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781009310949)
This graduate level textbook covers classical and modern developments in graph theory and additive combinatorics, presenting arguments as a cohesive whole. Students will appreciate the chapter summaries, many figures and exercises, as well as the co...Daugiau...
This book describes the general theory of Moonshine and its underlying concepts. It is ideal for graduate students and researchers in areas such as conformal field theory, string theory, algebra, number theory, geometry and functional analysis. This...Daugiau...
Serija: Cambridge Monographs on Mathematical Physics
(Išleidimo metai: 27-Jul-2023, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781009401586)
This book describes the general theory of Moonshine and its underlying concepts. It is ideal for graduate students and researchers in areas such as conformal field theory, string theory, algebra, number theory, geometry and functional analysis. This...Daugiau...
(Išleidimo metai: 20-Apr-2023, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781009346108)
This book gives the first complete treatment of the moduli theory of varieties of dimension larger than one, aimed at researchers and graduate students in algebraic geometry and related areas. The first chapter provides a historical introduction to t...Daugiau...
(Išleidimo metai: 26-Jan-2023, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781108831963)
Bruhat-Tits theory is an important topic in number theory, representation theory, harmonic analysis, and algebraic geometry. This book gives the first comprehensive treatment of this theory over discretely valued Henselian fields. It can serve both...Daugiau...
(Išleidimo metai: 15-Dec-2022, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781108832038)
Arithmetic groups are generalisations, to the setting of algebraic groups over a global field, of the subgroups of finite index in the general linear group with entries in the ring of integers of an algebraic number field. They are rich, diverse stru...Daugiau...
Readers will learn how to automatically prove or disprove new results in combinatorics and number theory in milliseconds by phrasing their desired results in first-order logic and using free software to automate the computation process. Containing mo...Daugiau...
(Išleidimo metai: 11-Aug-2022, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781316518953)
This book introduces algebraic number theory through the problem of generalizing unique prime factorization from ordinary integers to more general domains. Solving polynomial equations in integers leads naturally to these domains, but unique prime...Daugiau...
This book introduces algebraic number theory through the problem of generalizing unique prime factorization from ordinary integers to more general domains. Solving polynomial equations in integers leads naturally to these domains, but unique prime...Daugiau...
(Išleidimo metai: 09-Jun-2022, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781009123341)
Now in its second edition, this volume provides a uniquely detailed study of p-adic differential equations. Assuming only a graduate-level background in number theory, the text builds the theory from first principles all the way to the frontiers of...Daugiau...
First published in 1975, this classic book gives a systematic account of transcendental number theory, including the authors contributions and their many applications. For this edition, David Masser has written an introduction explaining Bakers ach...Daugiau...
(Išleidimo metai: 09-Jun-2022, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781009170321)
Written by an expert in the field, this book is intended for postgraduate students and researchers in number theory and model theory who want to become familiar with point-counting techniques and their application to the AndréOort and ZilberPink con...Daugiau...
(Išleidimo metai: 26-May-2022, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781316519936)
This exploration of the relation between periods and transcendental numbers brings Bakers theory of linear forms in logarithms into its most general framework, the theory of 1-motives. Written by leading experts in the field, it contains original re...Daugiau...
