Описание: Written by a world-renowned mathematician, this well informed and classic text traces the history of algebraic topology, beginning with its creation in the early 1900s. It goes on to describe in detail the important theories that were discovered before 1960.
Описание: Includes over 300 mathematics terms, clearly explained using everyday examples. This title is illustrated with artwork and photographs throughout. It also includes special features on key topics, such as Computers and Numbers. Traces the history of algebraic topology beginning with its creation by Henry Poincare in 1900, and describing the important ideas introduced in the theory before 1960. This book is intended for those working with topology.
Автор: Dodson Название: A User`s Guide to Algebraic Topology ISBN: 0792342933 ISBN-13(EAN): 9780792342939 Издательство: Springer Рейтинг: Цена: 10284 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Contains numerous pictures to illustrate the fundamental ideas and constructions in homotopy theory. This book shows how to calculate homotopy groups, homology groups and cohomology rings of most of the theories, exact homotopy sequences of fibrations, some important spectral sequences, and the obstructions that can be computed from these.
Описание: Contains the basic concepts and theorems of general topology and homotopy theory, the classification of two-dimensional surfaces, an outline of smooth manifold theory and mappings of smooth manifolds. This volume includes elements of Morse and homology theory, with their application to fixed points.
Описание: The book consists of articles at the frontier of current research in Algebraic Topology. It presents recent results by top notch experts, and is intended primarily
for researchers and graduate students working in the field of algebraic topology. Included is an important article by Cohen, Johnes and Yan on the homology of the space of smooth
loops on a manifold M, endowed with the Chas-Sullivan intersection product, as well as an article by Goerss, Henn and Mahowald on stable homotopy groups of spheres, which uses
the cutting edge technology of "topological modular forms".
Автор: Kozlov Название: Combinatorial Algebraic Topology ISBN: 3540730516 ISBN-13(EAN): 9783540730514 Издательство: Springer Рейтинг: Цена: 6544 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Provides an introduction to cardiological English and intends to help those who need to use professional English but do not speak it on a day-to-day basis. This book is intended for medical specialists.
Автор: Morel Название: A1-Algebraic Topology over a Field ISBN: 3642295134 ISBN-13(EAN): 9783642295133 Издательство: Springer Рейтинг: Цена: 4203 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This text deals with A1-homotopy theory over a base field, i.e., with the natural homotopy theory associated to the category of smooth varieties over a field in which the affine line is imposed to be contractible. It is a natural sequel to the foundational paper on A1-homotopy theory written together with V. Voevodsky. Inspired by classical results in algebraic topology, we present new techniques, new results and applications related to the properties and computations of A1-homotopy sheaves, A1-homology sheaves, and sheaves with generalized transfers, as well as to algebraic vector bundles over affine smooth varieties.
Автор: I.M. James Название: Handbook of Algebraic Topology, ISBN: 0444817794 ISBN-13(EAN): 9780444817792 Издательство: Elsevier Science Рейтинг: Цена: 22440 р. Наличие на складе: Невозможна поставка.
Описание: Algebraic topology, also known as homotopy theory, is a branch of modern mathematics. This book provides an overview of this branch and consists of 27 expository surveys covering the most active areas of research.
Автор: Nils Baas; Eric Friedlander; Bj?rn Jahren; Paul Ar Название: Algebraic Topology ISBN: 3642011993 ISBN-13(EAN): 9783642011993 Издательство: Springer Рейтинг: Цена: 15427 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Covers the 2007 Abel Symposium that took place at the University of Oslo in August 2007. This book presents various perspectives and constructions that have enabled broadening of vistas, a synergy between once-differentiated subjects, and solutions to mathematical problems.
Автор: May J. Peter Название: More Concise Algebraic Topology ISBN: 0226511782 ISBN-13(EAN): 9780226511788 Издательство: Wiley Рейтинг: Цена: 5904 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: With firm foundations dating only from the 1950s, algebraic topology is a relatively young area of mathematics. This title addresses the course material, such as fundamental groups, covering spaces, the basics of homotopy theory, and homology and cohomology. It covers topics that are useful for algebraic topologists.
Автор: Spanier, Edwin H Название: Algebraic topology ISBN: 0387944265 ISBN-13(EAN): 9780387944265 Издательство: Springer Цена: 6264 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Intended for use both as a text and a reference, this book is an exposition of the fundamental ideas of algebraic topology. The first third of the book covers the fundamental group, its definition and its application in the study of covering spaces. The focus then turns to homology theory, including cohomology, cup products, cohomology operations, and topological manifolds. The remaining third of the book is devoted to Homotropy theory, covering basic facts about homotropy groups, applications to obstruction theory, and computations of homotropy groups of spheres. In the later parts, the main emphasis is on the application to geometry of the algebraic tools developed earlier.
This book provides an accessible introduction to algebraic topology, a ?eld at the intersection of topology, geometry and algebra, together with its applications. Moreover, it covers several related topics that are in fact important in the overall scheme of algebraic topology. Comprising eighteen chapters and two appendices, the book integrates various concepts of algebraic topology, supported by examples, exercises, applications and historical notes. Primarily intended as a textbook, the book o?ers a valuable resource for undergraduate, postgraduate and advanced mathematics students alike.
Focusing more on the geometric than on algebraic aspects of the subject, as well as its natural development, the book conveys the basic language of modern algebraic topology by exploring homotopy, homology and cohomology theories, and examines a variety of spaces: spheres, projective spaces, classical groups and their quotient spaces, function spaces, polyhedra, topological groups, Lie groups and cell complexes, etc. The book studies a variety of maps, which are continuous functions between spaces. It also reveals the importance of algebraic topology in contemporary mathematics, theoretical physics, computer science, chemistry, economics, and the biological and medical sciences, and encourages students to engage in further study.
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