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Algebraic topology, Hatcher



Варианты приобретения
Цена: 3680р.
Кол-во:
Наличие: Поставка под заказ.  Есть в наличии на складе поставщика.
Склад Англия: 39 шт.  Склад Америка: 110 шт.  
При оформлении заказа до: 30 июл 2021
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Автор: Hatcher
Название:  Algebraic topology   (Алгебраическая тополгия)
Издательство: Cambridge Academ
Классификация:
ISBN: 0521795400
ISBN-13(EAN): 9780521795401
Обложка/Формат: Paperback
Страницы: 556
Вес: 1.036 кг.
Дата издания: 03.12.2001
Язык: English
Иллюстрации: Illustrations
Размер: 255 x 177 x 30
Читательская аудитория: Professional & vocational
Ссылка на Издательство: Link
Рейтинг:
Поставляется из: Англии
Описание: In most mathematics departments at major universities one of the three or four basic first-year graduate courses is in the subject of algebraic topology. This introductory textbook in algebraic topology is suitable for use in a course or for self-study, featuring broad coverage of the subject and a readable exposition, with many examples and exercises. The four main chapters present the basic material of the subject: fundamental group and covering spaces, homology and cohomology, higher homotopy groups, and homotopy theory generally. The author emphasizes the geometric aspects of the subject, whihelps students gain intuition. A unique feature of the book is the inclusion of many optional topics which are not usually part of a first course due to time constraints, and for which elementary expositions are sometimes hard to find. Among these are: Bockstein and transfer homomorphisms, direct and inverse limits, H-spaces and Hopf algebras, the Brown representability theorem, the James reduced product, the Dold-Thom theorem, and a full exposition of Steenrod squares and powers. Researchers will also welcome this aspect of the book.
Дополнительное описание: Кол-во стр.: 556
Формат: 254 x 178 x 32
Дата издания: 2001
Илюстрации: Illustrations
Вес: 968
Круг читателей: research, professional





      Старое издание

Combinatorial Algebraic Topology

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.

History of algebraic and differential topology, 1900-1960

Автор: Dieudonne, Jean
Название: History of algebraic and differential topology, 1900-1960
ISBN: 0817649069 ISBN-13(EAN): 9780817649067
Издательство: Springer
Рейтинг:
Цена: 12539 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

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.

Handbook of Algebraic Topology,

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.

Basic Algebraic Topology and its Applications

Автор: Adhikari
Название: Basic Algebraic Topology and its Applications
ISBN: 8132228413 ISBN-13(EAN): 9788132228417
Издательство: Springer
Рейтинг:
Цена: 8359 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание:

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.
Algebraic Topology / Homotopy and Homology

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)

Combinatorial Algebraic Topology

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.

Algebraic Topology from a Homotopical Viewpoint

Автор: Aguilar
Название: Algebraic Topology from a Homotopical Viewpoint
ISBN: 0387954503 ISBN-13(EAN): 9780387954509
Издательство: Springer
Рейтинг:
Цена: 8881 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

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.

A History of Algebraic and Differential Topology, 1900-1960

Автор: Dieudonne
Название: A History of Algebraic and Differential Topology, 1900-1960
ISBN: 081763388X ISBN-13(EAN): 9780817633882
Издательство: Springer
Цена: 6260 р.
Наличие на складе: Нет в наличии.

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.

A User`s Guide to Algebraic 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.

Introduction to Differential and Algebraic Topology

Автор: Borisovich
Название: Introduction to Differential and Algebraic Topology
ISBN: 079233499X ISBN-13(EAN): 9780792334996
Издательство: Springer
Рейтинг:
Цена: 8045 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

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.

Categorical Decomposition Techniques in Algebraic Topology

Автор: Arone
Название: Categorical Decomposition Techniques in Algebraic Topology
ISBN: 3764304006 ISBN-13(EAN): 9783764304003
Издательство: Springer
Рейтинг:
Цена: 12539 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

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".

Algebraic topology

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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