Number theory

Professor Kreiger's translation of Sierpinski's earlier work on point-set topology was speedily recognized as the outstanding work on the subject in English.

In the summer of 1991 the Department of Mathematics and Statistics of the Universite de Montreal was fortunate to host the NATO Advanced Study Institute "e;Algebras and Orders"e; as its 30th Seminaire de mathematiques superieures (SMS), a summer school with a long tradition and well-established reputation.

The book is an introduction to the foundations of Mathematics.

The first comprehensive introduction to the powerful moment approach for solving global optimization problems.

This invaluable book contains the collected papers of Prof Wei-Liang Chow, an original and versatile mathematician of the 20th Century.

This book is dedicated to the common theory creation problems of recognition systems.

Master the tools of MATLAB through hands-on examplesShows How to Solve Math Problems Using MATLABThe mathematical software MATLAB integrates computation, visualization, and programming to produce a powerful tool for a number of different tasks in mathematics.

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This book contains 58 papers from among the 68 papers presented at the Fifth International Conference on Fibonacci Numbers and Their Applications which was held at the University of St.

Energy of knots is a theory that was introduced to create a "e;canonical configuration"e; of a knot - a beautiful knot which represents its knot type.

This edited volume presents state-of-the-art developments in various areas in which Harmonic Analysis is applied.

The reach of algebraic curves in cryptography goes far beyond elliptic curve or public key cryptography yet these other application areas have not been systematically covered in the literature.

Cohomology of arithmetic groups serves as a tool in studying possible relations between the theory of automorphic forms and the arithmetic of algebraic varieties resp.

This book is designed for a topics course in computational number theory.

ItisnowwellknownthatFermat'slasttheoremhasbeenproved.

This interdisciplinary book covers a wide range of subjects, from pure mathematics (knots, braids, homotopy theory, number theory) to more applied mathematics (cryptography, algebraic specification of algorithms, dynamical systems) and concrete applications (modeling of polymers and ionic liquids, video, music and medical imaging).

Pencils of Cubics and Algebraic Curves in the Real Projective Plane thoroughly examines the combinatorial configurations of n generic points in RP2.

Kummer's work on cyclotomic fields paved the way for the development of algebraic number theory in general by Dedekind, Weber, Hensel, Hilbert, Takagi, Artin and others.

Introduction to the Theory of Entire Functions

This book is the English translation of Baumgart's thesis on the early proofs of the quadratic reciprocity law ("e;Uber das quadratische Reciprocitatsgesetz.

Initial-Boundary Value Problems and the Navier-Stokes Equations

For many years Serge Lang has given talks to undergraduates on selected items in mathematics which could be extracted at a level understandable by students who have had calculus.

This volume contains a collection of research and survey papers written by some of the most eminent mathematicians in the international community and is dedicated to Helmut Maier, whose own research has been groundbreaking and deeply influential to the field.

This book brings together the impact of Prof.

A unique synthesis of the three existing Fourier-analytic treatments of quadratic reciprocity.

Why Olympiads?

This short monograph is the first book to focus exclusively on the study of summability methods, which have become active areas of research in recent years.

Based on the lecture notes of a graduate course given at MIT, this sophisticated treatment leads to a variety of current research topics and will undoubtedly serve as a guide to further studies.

This book casts the theory of periods of algebraic varieties in the natural setting of Madhav Nori's abelian category of mixed motives.

This textbook offers a unique exploration of analytic number theory that is focused on explicit and realistic numerical bounds.

Part two of a two-volume collection exploring recent developments in number theory related to automorphic forms and Galois representations.

The three chapters of this book are entitled Basic Concepts, Tensor Norms, and Special Topics.

This book gives its readers a unique opportunity to get acquainted with new aspects of the fruitful interactions between Analysis, Geometry, Quantum Mechanics and Number Theory.

The square root of 2 is a fascinating number - if a little less famous than such mathematical stars as pi, the number e, the golden ratio, or the square root of -1.

This monograph gives a state-of-the-art and accessible treatment of a new general higher-dimensional theory of complex dimensions, valid for arbitrary bounded subsets of Euclidean spaces, as well as for their natural generalization, relative fractal drums.

In this appealing and well-written text, Richard Bronson starts with the concrete and computational, and leads the reader to a choice of major applications.

The last decade has seen a dramatic increase of our abilities to solve numerically the governing equations of fluid mechanics.

From the reviews: "e;This book gives a thorough introduction to several theories that are fundamental to research on modular forms.

This book introduces the active area of the model theory of fields, concentrating on connections to stability theory.

There are connections between invariant theory and modular forms since the times of Felix Klein, in the 19th century, connections between codes and lattices since the 1960's.