Topology

Forming the basis of a second course in algebraic geometry, this book explains key ideas, each illustrated with abundant examples.

I have intended this book to be more than just the sum of its chapters, and the introduction is, in part, an attempt to spell out what the more is.

Designed for a first course in real variables, this text presents the fundamentals for more advanced mathematical work, particularly in the areas of complex variables, measure theory, differential equations, functional analysis, and probability.

Symplectic geometry is the geometry underlying Hamiltonian dynamics, and symplectic mappings arise as time-1-maps of Hamiltonian flows.

Knot theory is a rapidly developing field of research with many applications not only for mathematics.

Several recent investigations have focused attention on spaces and manifolds which are non-compact but where the problems studied have some kind of "e;control near infinity"e;.

This book evaluates and suggests potentially critical improvements to causal set theory, one of the best-motivated approaches to the outstanding problems of fundamental physics.

A complement to standard books on commutative algebra providing complete and relatively easy proofs of important results.

This book contains selected chapters on topology and dynamical systems and their interdisciplinary applications.

This book is the fifth and final volume of Raoul Bott's Collected Papers.

Provides a general framework for doing geometric group theory for non-locally-compact topological groups arising in mathematical practice.

This excellent introduction to topology eases first-year math students and general readers into the subject by surveying its concepts in a descriptive and intuitive way, attempting to build a bridge from the familiar concepts of geometry to the formalized study of topology.

This introductory volume provides the basics of surface-knots and related topics, not only for researchers in these areas but also for graduate students and researchers who are not familiar with the field.

This book contains a self-consistent treatment of Besov spaces for W*-dynamical systems, based on the Arveson spectrum and Fourier multipliers.

This volume of the Mathematics Studies presents work done on composition operators during the last 25 years.

"e;Categorical Perspectives"e; consists of introductory surveys as well as articles containing original research and complete proofs devoted mainly to the theoretical and foundational developments of category theory and its applications to other fields.

This book is an introduction to several active research topics in Foliation Theory and its connections with other areas.

This book constitutes a review volume on the relatively new subject of Quantum Topology.

This textbook covers topics of undergraduate mathematics in abstract algebra, geometry, topology and analysis with the purpose of connecting the underpinning key ideas.

A unique presentation of modern geometric methods in quantum field theory for researchers and graduate students in mathematics and physics.

Motivated by applications in theoretical computer science, the theory of finite semigroups has emerged in recent years as an autonomous area of mathematics.

This book provides a concise introduction to topology and is necessary for courses in differential geometry, functional analysis, algebraic topology, etc.

This volume takes a look at the current state of the theory of foliations, with surveys and research articles concerning different aspects.

There is no recent elementary introduction to the theory of discrete dynamical systems that stresses the topological background of the topic.

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This two-volume book collects the lectures given during the three months cycle of lectures held in Northern Italy between May and July of 2001 to commemorate Professor Bernard Dwork (1923 - 1998).

Symmetries in dynamical systems, "e;KAM theory and other perturbation theories"e;, "e;Infinite dimensional systems"e;, "e;Time series analysis"e; and "e;Numerical continuation and bifurcation analysis"e; were the main topics of the December 1995 Dynamical Systems Conference held in Groningen in honour of Johann Bernoulli.

This book makes a systematic study of the relations between the etale cohomology of a scheme and the orderings of its residue fields.

The Center and Focus Problem: Algebraic Solutions and Hypotheses, M.

The first authored book to present the mathematical foundations and applications of this exciting new field.

This book provides a new, comprehensive, and self-contained account of Oka theory as an introduction to function theory of several complex variables, mainly concerned with the Three Big Problems (Approximation, Cousin, Pseudoconvexity) that were solved by Kiyoshi Oka and form the basics of the theory.

This classic text appears here in a new edition for the first time in four decades.

In this monograph, questions of extensions and relaxations are consid- ered.

Kac-Moody Lie algebras 9 were introduced in the mid-1960s independently by V.

This book presents a coherent suite of computational tools for the study of group cohomology algebraic cycles.

This monograph summarizes and extends a number of results on the topology of trigonal curves in geometrically ruled surfaces.

This is the first textbook on C*-algebra theory with a view toward Noncommutative Geometry.

This book comprehensively examines various significant aspects of linear time-invariant systems theory, both for continuous-time and discrete-time.

It is a great satisfaction for a mathematician to witness the growth and expansion of a theory in which he has taken some part during its early years.

This book offers a comprehensive introduction by three of the leading experts in the field, collecting fundamental results and open problems in a single volume.

This book presents material in two parts.

This monograph is based, in part, upon lectures given in the Princeton School of Engineering and Applied Science.

In knot theory, diagrams of a given canonical genus can be described by means of a finite number of patterns ("e;generators"e;).