Algebraic topology

The theory of real-valued Sobolev functions is a classical part of analysis and has a wide range of applications in pure and applied mathematics.

The present monograph develops a unified theory of Steinberg groups, independent of matrix representations, based on the theory of Jordan pairs and the theory of 3-graded locally finite root systems.

The basics of differentiable manifolds, global calculus, differential geometry, and related topics constitute a core of information essential for the first or second year graduate student preparing for advanced courses and seminars in differential topology and geometry.

Metric theory has undergone a dramatic phase transition in the last decades when its focus moved from the foundations of real analysis to Riemannian geometry and algebraic topology, to the theory of infinite groups and probability theory.

The second in a series of three volumes surveying the theory of theta functions, this volume gives emphasis to the special properties of the theta functions associated with compact Riemann surfaces and how they lead to solutions of the Korteweg-de-Vries equations as well as other non-linear differential equations of mathematical physics.

Alexander Grothendieck's sixtieth birthday and originally published in 1990.

Alexander Grothendieck's sixtieth birthday and originally published in 1990.

Alexander Grothendieck's sixtieth birthday and originally published in 1990.

Algebraic K-Theory has become an increasingly active area of research.

This book is an elementary introduction to some ideas and techniques that have revolutionized enumerative geometry: stable maps and quantum cohomology.

A tribute to the vision and legacy of Israel Moiseevich Gelfand, the invited papers in this volume reflect the unity of mathematics as a whole, with particular emphasis on the many connections among the fields of geometry, physics, and representation theory.

Noncompact symmetric and locally symmetric spaces naturally appear in many mathematical theories, including analysis (representation theory, nonabelian harmonic analysis), number theory (automorphic forms), algebraic geometry (modulae) and algebraic topology (cohomology of discrete groups).

This work treats an introduction to commutative ring theory and algebraic plane curves, requiring of the reader only a basic knowledge of algebra, with all of the algebraic facts collected into several appendices that can be easily referred to, as needed.

This volume contains research and survey articles by well known and respected mathematicians describing recent developments and research trends in differential geometry and topology that have been collected and dedicated in honor of Lieven Vanhecke, as a tribute to his many fruitful and inspiring contributions to these fields.

This book describes the construction and the properties of CW-complexes.

These volumes are the outgrowth of a conference held at the Mathematisches Forschungsinstitut Oberwolfach (Germany) on the subject of ''Novikov Conjectures, Index Theorems and Rigidity''.

These volumes are the outgrowth of a conference held at the Mathematisches Forschungsinstitut Oberwolfach (Germany) on the subject of `Novikov conjectures, index theorems and rigidity''.

This is the first unified treatment in book form of the lower K-groups of Bass and the lower L-groups of the author.

This book will be of great interest to researchers into algebraic topology.

Contains a combination of selected papers given in honour of John Frank Adams which illustrate the profound influence that he had on algebraic topology.

Contains a combination of selected papers given in honour of John Frank Adams which illustrate the profound influence that he had on algebraic topology.

Professor Peter Hilton is one of the best known mathematicians of his generation.

This book contains some important new contributions to the theory of structured ring spectra.

This 2007 book is a self-contained account of the subject of algebraic cycles and motives.

Ideal for graduate students and researchers working in group theory and Lie rings.

This book is a collection of survey articles by the main speakers at the 1993 Durham symposium on vector bundles in algebraic geometry.

An elementary introduction to homology theory suitable for undergraduate courses or for self-study.

The most modern and thorough treatment of unstable homotopy theory available.

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

The first contemporary introduction to topological K-theory.

A comprehensive treatment of Floer homology, based on the Seiberg–Witten equations, first published in 2007.

The first book to give a complete treatment of rigid cohomology, from the basics to the very latest developments.

A monograph demonstrating remarkable and unexpected interdisciplinary connections in the areas of commutative algebra, invariant theory and algebraic topology.

The second of two volumes offering a modern account of Kaehlerian geometry and Hodge theory for researchers in algebraic and differential geometry.

The first of two volumes offering a modern introduction to Kaehlerian geometry and Hodge structure written for students.

Fields-medal winner Donaldson reviews current work, including his own, on the theory of Floer.

'Homology' as a concept became increasingly elusive during the course of the 20th century.

Shape and Shape Theory D.

This self-contained text is an excellent introduction to Lie groups and their actions on manifolds.

This book examines interactions of polyhedral discrete geometry and algebra.

Braids and braid groups, the focus of this text, have been at the heart of important mathematical developments over the last two decades.

If mathematics is a language, then taking a topology course at the undergraduate level is cramming vocabulary and memorizing irregular verbs: a necessary, but not always exciting exercise one has to go through before one can read great works of literature in the original language.

This is an introductory text for a first course in algebraic topology.

Homology is a powerful tool used by mathematicians to study the properties of spaces and maps that are insensitive to small perturbations.

The theory of real-valued Sobolev functions is a classical part of analysis and has a wide range of applications in pure and applied mathematics.

An Invitation to Computational Homotopy is an introduction to elementary algebraic topology for those with an interest in computers and computer programming.

How is a subway map different from other maps?

How is a subway map different from other maps?

This book is a new edition of "e;Tensors and Manifolds: With Applications to Mechanics and Relativity"e; which was published in 1992.