Number Theory

View the abstract.About the AuthorMargaret Bilu, Institut de Mathematiques de Bordeaux, Talence, France.Book InformationISBN 9781470460211Author Margaret BiluFormat PaperbackPage Count 185Imprint American Mathematical SocietyPublisher American...

Number Theory Through the Eyes of Sophie Germain: An Inquiry Course is an innovative textbook for an introductory number theory course.Sophie Germain (1776-1831) was largely self-taught in mathematics and, two centuries ago, in solitude, devised and...

This book is an introduction to analytic number theory suitable for beginning graduate students. It covers everything one expects in a first course in this field, such as growth of arithmetic functions, existence of primes in arithmetic progressions, and...

Growing out of a course designed to teach Gauss's Disquisitiones Arithmeticae to honors-level undergraduates, Flath's Introduction to Number Theory focuses on Gauss's theory of binary quadratic forms. It is suitable for use as a textbook in a course or...

This book studies when a prime $p$ can be written in the form $x^{2} + ny^{2}$. It begins at an elementary level with results of Fermat and Euler and then discusses the work of Lagrange, Legendre and Gauss on quadratic reciprocity and the genus theory of...

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 analytic...

This new edition of Analytic Number Theory for Beginners 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. The text...

View the abstract.About the AuthorValentin Blomer, Universitat Bonn, Germany.Emmanuel Kowalski, ETH Zurich, Switzerland.Philippe G. Michel, Ecole Polytechnique Federale de Lausanne, Switzerland.Djordje Milicevic, Bryn Mawr College, Pennsylvania.Will...

The aim of this book is to give an introduction to what has come to be known as Standard Monomial Theory (SMT). SMT deals with the construction of nice bases of finite dimensional irreducible representations of semi-simple algebraic groups or, in...

A well-written, inviting textbook designed for a one-semester, junior-level course in elementary number theory. The intended audience will have had exposure to proof writing, but not necessarily to abstract algebra. That audience will be well prepared by...

This is a translation of Landau's famous Elementare Zahlentheorie with added exercises by Paul T. Bateman and Eugene E. Kohlbecker.This three-volume classic work is reprinted here as a single volume.ReviewsThese three excellently printed and arranged...

Number Theory is a newly translated and revised edition of the most popular introductory textbook on the subject in Hungary. The book covers the usual topics of introductory number theory: divisibility, primes, Diophantine equations, arithmetic...

Radial Basis Functions (RBFs) are a powerful numerical methodology for solving PDEs to high accuracy in any number of dimensions. The ability to apply RBFs to a wide range of problems, including fluid mechanics, wave motions and geosciences, makes them a...

Many students find mathematics a daunting subject. Yet, in this unorthodox textbook, Liu brings a whole new clarity to arithmetic, making it a perfect resource for any budding teacher. With everyday language, even for formal proofs, students are carried...

This book presents material suitable for an undergraduate course in elementary number theory from a computational perspective. It seeks to not only introduce students to the standard topics in elementary number theory, such as prime factorization and...

This 2-volume set (Fermat's Last Theorem: Basic Tools and Fermat's Last Theorem: The Proof) presents in full detail the proof of Fermat's Last Theorem given by Wiles and Taylor. With these two books, the reader will be able to see the whole picture of...

View the abstract.About the AuthorJenny Fuselier, High Point University, North Carolina.Ling Long, Louisiana State University, Baton Rouge, Louisiana.Ravi Ramakrishna, Cornell University, Ithaca, New York.Holly Swisher, Oregon State University,...

The description for this book, Transcendental Numbers. (AM-16), will be forthcoming.Book InformationISBN 9780691095752Author Carl Ludwig SiegelFormat PaperbackPage Count 102Imprint Princeton University PressPublisher Princeton University...

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 "simple" Shimura varieties. These two...

An especially timely work, the book is an introduction to the theory of p-adic L-functions originated by Kubota and Leopoldt in 1964 as p-adic analogues of the classical L-functions of Dirichlet. Professor Iwasawa reviews the classical results on...

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. The book begins with the definitions and properties of algebraic fields, which are relied...

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. It now appears as a very...

This is the unique book on cross-fertilisations between stream ciphers and number theory. It systematically and comprehensively covers known connections between the two areas that are available only in research papers. Some parts of this book consist of...

This graduate text, based on years of teaching experience, is intended for first or second year graduate students in pure mathematics. The main goal of the text is to show how the computer can be used as a tool for research in number theory through...

This book consists mainly of the translation, by C. Fuchs, of the 1929 landmark paper "UEber einige Anwendungen diophantischer Approximationen" by C.L. Siegel. The paper contains proofs of most important results in transcendence theory and diophantine...

The worthy purpose of this text is to provide a complete, self-contained development of the trace formula and theta inversion formula for SL(2,Z[i])/SL(2,C). Unlike other treatments of the theory, the approach taken here is to begin with the heat kernel...

Apologies but we at Booksplease don't have a full description for this book.Book InformationISBN 9781619429185Author Zhi-Wei SunFormat HardbackPage Count 291Imprint Nova Science Publishers IncPublisher Nova Science Publishers IncWeight(grams) 744g

This volume is a systematic treatment of the additive number theory of polynomials over a finite field, an area possessing fascinating and deep parallels with classical number theory. In providing asymptotic proofs of both the Polynomial Three Primes...

This collection of research papers, originally published in 1985, brings together twelve articles by distinguished contributors.About the AuthorSidney W. Graham is Professor of Mathematics at Central Michigan University. Jeffrey D. Vaaler is Professor of...

The Rogers--Ramanujan identities are a pair of infinite series-infinite product identities that were first discovered in 1894. Over the past several decades these identities, and identities of similar type, have found applications in number theory,...

This volume contains the proceedings of the Building Bridges: 3rd EU/US Summer School and Workshop on Automorphic Forms and Related Topics, which was held in Sarajevo from July 11-22, 2016. The articles summarize material which was presented during the...

Joseph Liouville is recognised as one of the great mathematicians of the nineteenth century, and one of his greatest achievements was the introduction of a powerful new method into elementary number theory. This book provides a gentle introduction to...

One of the most exciting new subjects in Algebraic Number Theory and Arithmetic Algebraic Geometry is the theory of Euler systems. Euler systems are special collections of cohomology classes attached to p-adic Galois representations. Introduced by Victor...

Joseph Liouville is recognised as one of the great mathematicians of the nineteenth century, and one of his greatest achievements was the introduction of a powerful new method into elementary number theory. This book provides a gentle introduction to...

In this volume, an abstract theory of 'forms' is developed, thus providing a conceptually satisfying framework for the classification of forms of Fermat equations. The classical results on diagonal forms are extended to the broader class of all forms of...

This volume is the proceedings of the international conference 'Various Aspects of Multiple Zeta Functions' in honor of Professor Kohji Matsumoto's 60th birthday held at Nagoya University, Japan, during August 21 to 25, 2017.The present volume consists...

The Woods Hole trace formula is a Lefschetz fixed-point theorem for coherent cohomology on algebraic varieties. It leads to a version of the sheaves-functions dictionary of Deligne, relating characteristic-p-valued functions on the rational points of...

Model theory is one of the central branches of mathematical logic. The field has evolved rapidly in the last few decades. This book is an introduction to current trends in model theory, and contains a collection of articles authored by top researchers in...

This book contains a number of elementary ideas on numbers, their representations, interesting arithmetical problems and their analytical solutions, fundamentals of computers and programming plus programming solutions as an alternative to the analytical...

This book contains several fundamental ideas that are revived time after time in different guises, providing a better understanding of algebraic geometric phenomena. It shows how the field is enriched with loans from analysis and topology and from...