Автор: Kozlov Название: Combinatorial Algebraic Topology ISBN: 3540730516 ISBN-13(EAN): 9783540730514 Издательство: Springer Рейтинг: Цена: 7314 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.
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.
Автор: I.M. James Название: Handbook of Algebraic Topology, ISBN: 0444817794 ISBN-13(EAN): 9780444817792 Издательство: Elsevier Science Рейтинг: Цена: 25080 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.
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.
Автор: Switzer Robert M. Название: Algebraic Topology / Homotopy and Homology ISBN: 3540427503 ISBN-13(EAN): 9783540427506 Издательство: Springer Рейтинг: Цена: 5224 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: From the reviews:"The author has attempted an ambitious and most commendable project. He assumes only a modest knowledge of algebraic topology on the part of the reader to start with, and he leads the reader systematically to the point at which he can begin to tackle problems in the current areas of research centered around generalized homology theories and their applications. ... The author has sought to make his treatment complete and he has succeeded. The book contains much material that has not previously appeared in this format. The writing is clean and clear and the exposition is well motivated. ... This book is, all in all, a very admirable work and a valuable addition to the literature...(S.Y. Husseini in Mathematical Reviews, 1976)
Автор: Kozlov Название: Combinatorial Algebraic Topology ISBN: 354071961X ISBN-13(EAN): 9783540719618 Издательство: Springer Рейтинг: Цена: 10449 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Combinatorial algebraic topology is a fascinating and dynamic field at the crossroads of algebraic topology and discrete mathematics. This volume is the first comprehensive treatment of the subject in book form. The first part of the book constitutes a swift walk through the main tools of algebraic topology, including Stiefel-Whitney characteristic classes, which are needed for the later parts. Readers - graduate students and working mathematicians alike - will probably find particularly useful the second part, which contains an in-depth discussion of the major research techniques of combinatorial algebraic topology. Our presentation of standard topics is quite different from that of existing texts. In addition, several new themes, such as spectral sequences, are included. Although applications are sprinkled throughout the second part, they are principal focus of the third part, which is entirely devoted to developing the topological structure theory for graph homomorphisms. The main benefit for the reader will be the prospect of fairly quickly getting to the forefront of modern research in this active field.
Описание: Serves as an introductory text for a first course in algebraic topology. This work presents the beginning material in algebraic topology from a different point of view in using a homotopy-theoretic approach. It is intended for any student who knows some topology.
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: 11494 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: Spanier, Edwin H Название: Algebraic topology ISBN: 0387944265 ISBN-13(EAN): 9780387944265 Издательство: Springer Рейтинг: Цена: 7836 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.
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