Böcker i AMS Chelsea Publishing-serien

A translation from the second Russian edition of ""Teoriya Grupp"". It covers the theory of abelian groups. It also covers the theory of free groups and free products; group extensions; and the deep changes in the theory of solvable and nilpotent groups.

A translation of Landau's famous "Elementare Zahlentheorie" with added exercises.

This second edition includes exercises at the end of each chapter, revised bibliographies, references and an index.

The six-volume collection, Generalized Functions, published in Russian between 1958 and 1966, gives an introduction to generalized functions and presents various applications to analysis, PDE, stochastic processes, and representation theory. The main goal of Volume 4 is to develop the functional analysis setup for the universe of generalized functions.

The six-volume collection, Generalized Functions, published in Russian between 1958 and 1966, gives an introduction to generalized functions and presents various applications to analysis, PDE, stochastic processes, and representation theory. Volume 2 is devoted to detailed study of generalized functions as linear functionals on appropriate spaces of smooth test functions.

This classic book is a text for a standard introductory course in real analysis, covering sequences and series, limits and continuity, differentiation, elementary transcendental functions, integration, infinite series and products, and trigonometric series. The author has avoided any presumption that the reader has knowledge of mathematical concepts until they are presented in the book.

Dirichlet (1805-1859) is well known for his significant contributions to several branches of mathematics. In analysis, he is remembered for his work in potential theory, especially his study of harmonic functions with prescribed boundary values, now known as the Dirichlet problem. This work features two volumes of ""Dirichlet's Collected Works"".

This flexible text is organised into two parts: Part I treats the theory of measure and integration over abstract measure spaces; Part II is more specialised, and includes regular measures on locally compact spaces, the Riesz-Markoff theorem on the measure-theoretic representation of positive linear forms, and Haar measure on a locally compact group.

Covers quadratic and higher forms. This book presents methods of attacking whole classes of problems.

Covers The Euler-MacLaurin sum formula.

Covers the classical theory of abstract Riemann surfaces. This book presents the requisite function theory and topology for Riemann surfaces. It also covers differentials and uniformization. For compact Riemann surfaces, it features topics such as divisors, Weierstrass points, and the Riemann-Roch theorem.

Contains papers including the one on the theory of the Syzygetic Relations of two Rational Integral Functions, comprising an application to the Theory of Sturm's Functions. This work also contains Sylvester's dialytic method of elimination, his Essay on Canonical Forms, and early investigations in the theory of Invariants.

Includes Gauss' number-theoretic works. This title provides papers that include a fourth, fifth, and sixth proof of the Quadratic Reciprocity Law, researches on biquadratic residues, quadratic forms, and other topics. It also includes an appendix and concludes with a commentary on the papers.

Oliver Heaviside is probably best known to the majority of mathematicians for the Heaviside function in the theory of distribution. His main research activity concerned the theory of electricity and magnetism. This book brings together many of Heaviside's published and unpublished notes and short articles written between 1891 and 1912.

Presents an introduction to probability and statistics. This book covers topics that include the axiomatic setup of probability theory, polynomial distribution, finite Markov chains, distribution functions and convolution, the laws of large numbers (weak and strong), characteristic functions, the central limit theorem, and Markov processes.

By 'combinatory analysis', the author understands the part of combinatorics now known as 'algebraic combinatorics'. He presents the classical results of the outstanding 19th century school of British mathematicians.

A biography of Lord Kelvin, that includes Kelvin's personal recollections and data. It lets the documents and letters speak as far as possible for themselves.

Based on lectures given by the author at the University of Chicago in 1956, this work covers such topics as recurrence, the ergodic theorems, and a general discussion of ergodicity and mixing properties. It is suitable for use for a one-semester course in ergodic theory or for self-study.

Presents a series of problems of progressive interest in the subject of Mathematical Probability.

Starts with necessary information about matrices, algebras, and groups. This title then proceeds to representations of finite groups. It includes several chapters dealing with representations and characters of symmetric groups and the closely related theory of symmetric polynomials.

Serves as an introduction to the Kodaira-Spencer theory of deformations of complex structures. Based on lectures given by Kunihiko Kodaira at Stanford University in 1965-1966, this book gives the original proof of the Kodaira embedding theorem, showing that the restricted class of Kahler manifolds called Hodge manifolds is algebraic.

Presents Brownian motion and deals with stochastic integrals and differentials, including Ito lemma. This book is devoted to topics of stochastic integral equations and stochastic integral equations on smooth manifolds. It is suitable for graduate students and researchers interested in probability, stochastic processes, and their applications.

Presents an introduction to the basic ideas of the theory of large deviations and makes a suitable package on which to base a semester-length course for advanced graduate students with a background in analysis and some probability theory. This book also covers various non-uniform results.

Presents a general theory of iteration algorithms for the numerical solution of equations and systems of equations. This book investigates the relationship between the quantity and the quality of information that is used by an algorithm.

Focuses on the study of continued fractions in the theory of analytic functions, rather than on arithmetical aspects. This book provides discussions of orthogonal polynomials, power series, infinite matrices and quadratic forms in infinitely many variables, definite integrals, the moment problem and the summation of divergent series.

Covers Diophantine analysis. Besides the familiar cases of Diophantine equations, this book also covers partitions, representations as a sum of two, three, four or $n$ squares, Waring's problem in general and Hilbert's solution of it, and perfect squares in arithmetical and geometrical progressions.

In addition to the standard topics, this volume includes topics not often found in an algebra book, such as inequalities, and the elements of substitution theory. Especially extensive is Chrystal's treatment of the infinite series, infinite products, and (finite and infinite) continued fractions.

Contains an account of the foundations of the theory of commutative normed rings without, however, touching upon the majority of its analytic applications. Intended for those who have knowledge of the elements of the theory of normed spaces and of set-theoretical topology, this title is based on [the authors'] paper written in 1940.