Search results for ""MP-AMM American Mathematical""

Contains such topics as Symmetric Sets, Principle of Duality, most of the 'Algebra' of Sets, Partially Ordered Sets, Arbitrary Sets of Complexes, Normal Types, Initial and Final Ordering, Complexes of Real Numbers, General Topological Spaces, Euclidean Spaces, and the Special Methods Applicable in the Euclidean Plane.

Read more less

Suitable for a first year graduate course on global analysis, this title proves the basics of Fourier transforms, Sobolev theory and interior regularity at the same time as symbol calculus, culminating in beautiful results in global analysis, real and complex.

Read more less

A monograph that is concerned with Galois theoretical embedding problems of so-called Brauer type with a focus on 2-groups and on finding explicit criteria for solvability and explicit constructions of the solutions. It also considers questions of reducing the embedding problems and reformulating the solvability criteria.

Read more less

Offers an easily accessible form a coherent account of matrix theory with a view to applications in mathematics, theoretical physics, statistics, and electrical engineering. This title includes individual chapters that have been kept as far as possible independent of each other.

Read more less

Brings together both the classical and current aspects of deformation theory. The presentation is mostly self-contained, assuming only basic knowledge of commutative algebra, homological algebra and category theory. In the interest of readability, some technically complicated proofs have been omitted when a suitable reference was available.

Read more less

Ricci flow is a powerful technique using a heat-type equation to deform Riemannian metrics on manifolds to better metrics in the search for geometric decompositions. With the fourth part of their volume on techniques and applications of the theory, the authors of this volume discuss long-time solutions of the Ricci flow and related topics.

Read more less

Aims to give an exposition of generalized (co)homology theories that can be read by mathematicians who are not experts in algebraic topology. This work starts with basic notions of homotopy theory and then introduces the axioms of generalized (co)homology theory. It focuses on spectral sequences and their use in generalized cohomology theories.

Read more less

One of the greatest accomplishments in the history of cryptography occurred in 1940 when Arne Beurling broke the German code used for strategic military communications. This work describes Beurling's attack on the G-Schreiber system as well as attacks on other wartime crypto systems, noting high points from the history of Swedish cryptology.

Read more less

Traces the thread of pi through the long history of mathematics. This book touches upon many major subjects in mathematics: geometry (of course), number theory, Galois theory, probability, transcendental numbers, analysis, and, as their crown jewel, the theory of elliptic functions, which connects many of the other subjects.

Read more less

The concept of 'wave packet analysis' originates in Carleson's famous proof of almost everywhere convergence of Fourier series of $L^2$ functions. This work emphasizes the classical successes (Carleson's theorem and the Hilbert transform) in the main development.

Read more less

The influence of Thurston's hyperbolization theorem on the geometry and topology of 3-manifolds has been tremendous. This book presents a proof of the hyperbolization theorem for 3-manifolds that fiber over the circle, following the plan of Thurston's original proof, though the double limit theorem is dealt with in a different way.

Read more less

In the area of mathematical logic, a great deal of attention is now being devoted to the study of nonclassical logics. This book intends to present the most important methods of proof theory in intuitionistic logic and to acquaint the reader with the principal axiomatic theories based on intuitionistic logic.

Read more less

Presents an exposition of spherical functions on compact symmetric spaces, from the viewpoint of Cartan-Selberg. This title treats compact symmetric pairs, spherical representations for compact symmetric pairs, the fundamental groups of compact symmetric spaces, and the radial part of an invariant differential operator.

Read more less

Focuses on equations from toric varieties and Grassmannians. Not only is much known about these, but such equations are common in applications. There are three main themes: upper bounds on the number of real solutions, lower bounds on the number of real solutions, and geometric problems that can have all solutions be real.

Read more less

Coarse geometry is the study of spaces (particularly metric spaces) from a 'large scale' point of view, so that two spaces that look the same from a great distance are actually equivalent. This book provides a general perspective on coarse structures. It discusses results on asymptotic dimension and uniform embeddings into Hilbert space.

Read more less

Suitable for readers who want to learn about the Newtonian $N$-body problem, this book contains simple explanations of the apparent 'looping' orbit of Mars and the unexpected 'Sunrise, Sunset' behavior as viewed from Mercury. It also covers the weird dynamics exhibited by Saturn's F-ring.

Read more less

Studies boundary value problems are from two points of view; solvability, unique or otherwise, and the effect of various smoothness properties of the given functions on the smoothness of the solutions. This title includes various chapters that introduce the various function spaces typical of modern Russian-style functional analysis.

Read more less

Provides an account of the triangulated theory of motives. The book’s purpose is to introduce Motivic Cohomology, to develop its main properties, and finally to relate it to other known invariants of algebraic varieties and rings such as Milnor K-theory, étale cohomology, and Chow groups.

Read more less

Contains essays on Ramanujan and his work. This book includes survey articles in areas that are influenced by Ramanujan's mathematics.

Read more less

The theory of Lie groups involves many areas of mathematics: algebra, differential geometry, algebraic geometry, analysis, and differential equations. This work outlines the prerequisites to get the reader started, and then chooses a path through this theory that aims for an understanding of the geometry of Lie groups and homogeneous spaces.

Read more less

Presents a collection of 180 mathematical puzzles and elementary problems that great mathematicians have posed, discussed, and solved. This book intends to show that famous mathematicians have all communicated brilliant ideas, methodological approaches, and absolute genius in mathematical thoughts by using recreational mathematics as a framework.

Read more less

Contains everything that is needed to run a successful mathematical circle for a full year. The materials, distributed among 29 weekly lessons, include detailed lectures and discussions, sets of problems with solutions, and contests and games. In addition, the book shares some of the know-how of running a mathematical circle.

Read more less

Perhaps the most famous example of how ideas from modern physics have revolutionized mathematics is the way string theory has led to an overhaul of enumerative geometry, an area of mathematics that started in the eighteen hundreds. The book begins with an insightful introduction to enumerative geometry.

Read more less

Contains the developments in a central theme of research on analysis of one complex variable. This book includes material that is based on lectures at the University of Michigan. It clarifies how certain basic properties of the space at hand are reflected in the geometry of interpolating and sampling sequences.

Read more less

The goal of this text is to teach the subject and lead readers to where the vast literature - in the subject specifically and in its many applications - becomes accessible. The choice of material was made from among the fundamentals of what may be called the ""classical'' theory of operator algebras.

Read more less

Deals with the topic of geometric configurations of points and lines. This book presents the history of the topic, with its surges and declines since its beginning in 1876. It covers the advances in the field since the revival of interest in geometric configurations.

Read more less

Presents a study of problems related to the theory of infinite-dimensional dynamical systems. This work studies their properties for various non-autonomous equations of mathematical physics: the 2D and 3D Navier-Stokes systems, reaction-diffusion systems, dissipative wave equations, the complex Ginzburg-Landau equation, and others.

Read more less

Hermann Weyl was one of the most influential mathematicians of the twentieth century. This title contains the proceedings of the AMS Symposium on the Mathematical Heritage of Hermann Weyl, held in May 1987 at Duke University. It is suitable for mathematicians, theoretical physicists, and other scientists.

Read more less

Contains the proceedings of the Algebraic Geometry Conference on Classification of Algebraic Varieties, held in May 1992 at the University of L'Aquila in Italy. This work discusses a variety of problems that illustrate interactions between algebraic geometry and other branches of mathematics.

Read more less

Diophantine analysis, an area of number theory that helps to discover hidden treasures and truths within the numbers by exploring rational numbers, comprises two different but interconnected domains - diophantine approximation and diophantine equations. This book presents the fundamental ideas and theorems from diophantine approximation.

Read more less

Presents several new directions of mathematical research. All of these directions are based on numerical experiments conducted by the author, which led to new hypotheses that currently remain open. The hypotheses range from geometry and topology to combinatorics to algebra and number theory.

Read more less

Open algebraic surfaces are a synonym for algebraic surfaces that are not necessarily complete. An open algebraic surface is understood as a Zariski open set of a projective algebraic surface. This book contains an account of the theory of open algebraic surfaces, as well as several applications, in particular to the study of affine surfaces.

Read more less

There are incredibly rich connections between classical analysis and number theory. This title uncovers interesting combinatorial identities by means of the function theory on Riemann surfaces related to the principal congruence subgroups $\Gamma(k)$. It is suitable for a graduate course or for independent reading.

Read more less

Explores the mathematical ideas involved in creating and analyzing maps. This book presents the famous problem of mapping the earth. Through the visual context of maps and mapmaking, it shows students how contemporary mathematics can help them to understand and explain the world.

Read more less

Self-similar groups (groups generated by automata) initially appeared as examples of groups that are easy to define but have exotic properties like nontrivial torsion, intermediate growth, etc. This book studies the self-similarity phenomenon in group theory and shows its relationship with dynamical systems.

Read more less

Ordered vector spaces and cones made their debut in mathematics at the beginning of the twentieth century. They were developed in parallel (but from a different perspective) with functional analysis and operator theory. This book offers a modern perspective on cones and ordered vector spaces.

Read more less

Presents elementary models of transport in continuous media and a corresponding body of mathematical technique. This title includes physical topics such as convection and diffusion as the simplest models of transport; local conservation laws with sources as the general framework of continuum mechanics; and momentum and energy transport.

Read more less

Offers an introduction to the theory of finite fields and to some of their many practical applications. After covering their construction and elementary properties, the authors discuss the trace and norm functions, bases for finite fields, and properties of polynomials over finite fields. Each of the remaining chapters details applications.

Read more less