Автор: Spanier, Edwin H Название: Algebraic topology ISBN: 0387944265 ISBN-13(EAN): 9780387944265 Издательство: Springer Рейтинг: Цена: 10480.00 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.
Автор: Nils Baas; Eric Friedlander; Bj?rn Jahren; Paul Ar Название: Algebraic Topology ISBN: 3642011993 ISBN-13(EAN): 9783642011993 Издательство: Springer Рейтинг: Цена: 23058.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The 2007 Abel Symposium took place at the University of Oslo in August 2007. The goal of the symposium was to bring together mathematicians whose research efforts have led to recent advances in algebraic geometry, algebraic K-theory, algebraic topology, and mathematical physics.
Автор: May J. Peter Название: More Concise Algebraic Topology ISBN: 0226511782 ISBN-13(EAN): 9780226511788 Издательство: Wiley Рейтинг: Цена: 10296.00 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: Adhikari Название: Basic Algebraic Topology and its Applications ISBN: 8132228413 ISBN-13(EAN): 9788132228417 Издательство: Springer Рейтинг: Цена: 11179.00 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.
Автор: Edelsbrunner , Herbe Название: Computational topology ISBN: 0821849255 ISBN-13(EAN): 9780821849255 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 8704.00 р. Наличие на складе: Поставка под заказ.
Описание: Combining concepts from topology and algorithms, this book delivers what its title promises: an introduction to the field of computational topology. It covers motivating problems in both mathematics and computer science. Building up from classic topics in geometric and algebraic topology, it covers persistent homology.
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