The study of exponential sums over finite fields, begun by Gauss nearly two centuries ago, has been completely transformed in recent years by advances in algebraic geometry, culminating in Deligne's work on the Weil Conjectures.
Carl Ludwig Siegel's classic treatment of transcendental numbers from the acclaimed Annals of Mathematics Studies seriesPrinceton University Press is proud to have published the Annals of Mathematics Studies since 1940.
In this, one of the first books to appear in English on the theory of numbers, the eminent mathematician Hermann Weyl explores fundamental concepts in arithmetic.
A groundbreaking contribution to number theory that unifies classical and modern resultsThis book develops a new theory of p-adic modular forms on modular curves, extending Katz's classical theory to the supersingular locus.
This book studies the interplay between the geometry and topology of locally symmetric spaces, and the arithmetic aspects of the special values of L-functions.
A central concern of number theory is the study of local-to-global principles, which describe the behavior of a global field K in terms of the behavior of various completions of K.
This book aims first to prove the local Langlands conjecture for GLn over a p-adic field and, second, to identify the action of the decomposition group at a prime of bad reduction on the l-adic cohomology of the "e;simple"e; Shimura varieties.
From the author of The Music of the Primes and Finding Moonshine comes a short, lively book on five mathematical problems that just refuse be solved - and on how many everyday problems can be solved by maths.
Estas notas de clase son el resultado de la experiencia de los autores, tanto estudiantes como profesores, en el curso de Teoria de la medida o Medida e integracion.
This book is a must have for all competitive exams where 10+2 level mathematics questions are asked for example, GMAT, GRE, SAT, ACT, EA, Olympiad, Putnam, ISI, CMI, KVPY, RMO, INMO, CAT, XLRI, IIT JEE, WBJEE etc.
Examines the ancient cosmic science of the female megalithic astronomers*; Describes the shared sacred geometry and astronomy knowledge in the megalithic monuments, temples, and secret calendars of the matrilineal cultures of Malta, Gobekli Tepe, and the Minoans of Crete*; Shows how early Christians helped preserve ancient science by encoding it in the rock-cut churches of the Cappadocia region of Turkey*; Explains how Greek myths reveal the transition from matriarchy to patriarchyLong before Pythagoras and Plato, before arithmetic and Christianity, there existed matrilineal societies around the Mediterranean, led by women with a sophisticated understanding of astronomy and sacred science.
An entertaining and enlightening history of irrational numbers, from ancient Greece to the twenty-first centuryThe ancient Greeks discovered them, but it wasn't until the nineteenth century that irrational numbers were properly understood and rigorously defined, and even today not all their mysteries have been revealed.
La segunda edición de Teoría de los números está dirigida a todos aquellos que encuentran en las matemáticas el lenguaje universal para explicar los fenómenos de nuestro entorno, y por supuesto, a quienes ven en ella una puerta que los conduce a la búsqueda del conocimiento, orientado hacia el desarrollo científico y tecnológico.
An entertaining and enlightening history of irrational numbers, from ancient Greece to the twenty-first centuryThe ancient Greeks discovered them, but it wasn't until the nineteenth century that irrational numbers were properly understood and rigorously defined, and even today not all their mysteries have been revealed.
The remarkable properties of the numbers one through nineIn Single Digits, Marc Chamberland takes readers on a fascinating exploration of small numbers, from one to nine, looking at their history, applications, and connections to various areas of mathematics, including number theory, geometry, chaos theory, numerical analysis, and mathematical physics.
This comprehensive account of the Gross-Zagier formula on Shimura curves over totally real fields relates the heights of Heegner points on abelian varieties to the derivatives of L-series.
The power and properties of numbers, from basic addition and sums of squares to cutting-edge theoryWe use addition on a daily basis-yet how many of us stop to truly consider the enormous and remarkable ramifications of this mathematical activity?
In the earlier monograph Pseudo-reductive Groups, Brian Conrad, Ofer Gabber, and Gopal Prasad explored the general structure of pseudo-reductive groups.
A look at one of the most exciting unsolved problems in mathematics todayElliptic Tales describes the latest developments in number theory by looking at one of the most exciting unsolved problems in contemporary mathematics-the Birch and Swinnerton-Dyer Conjecture.
