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by D. B. Fuks,A. Iacob,V. A. Rokhlin
Download Beginner’s Course in Topology: Geometric Chapters (Universitext) fb2
Mathematics
  • Author:
    D. B. Fuks,A. Iacob,V. A. Rokhlin
  • ISBN:
    3540135774
  • ISBN13:
    978-3540135777
  • Genre:
  • Publisher:
    Springer; 1st edition (May 15, 2004)
  • Pages:
    520 pages
  • Subcategory:
    Mathematics
  • Language:
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    1519 kb
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    1309 kb
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    1137 kb
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This book is the result of reworking part of a rather lengthy course of lectures of which we delivered several versions at the Leningrad and Moscow Universities

This book is the result of reworking part of a rather lengthy course of lectures of which we delivered several versions at the Leningrad and Moscow Universities. In these lectures we presented an introduction to the fundamental topics of topology: homology theory, homotopy theory, theory of bundles, and topology of manifolds.

This book is the result of reworking part of a rather lengthy course of lectures of which we delivered . Beginner’s Course in Topology. bersetzt von. Iacob, A.

This book is the result of reworking part of a rather lengthy course of lectures of which we delivered several versions at the Leningrad and Moscow Universities.

Описание: Geometric Topology is a foundational component of modern mathematics, involving the study of spacial . Описание: Intended to serve as a textbook for a course in algebraic topology at the beginning graduate level

Описание: Geometric Topology is a foundational component of modern mathematics, involving the study of spacial properties and invariants of familiar objects such as manifolds and complexes. Описание: Intended to serve as a textbook for a course in algebraic topology at the beginning graduate level. This text consists of material from the first five chapters of the book, "Algebraic Topology: An Introduction", together with "Singular Homology Theory".

Beginner's Course in Topology book. Goodreads helps you keep track of books you want to read. Start by marking Beginner's Course in Topology: Geometric Chapters as Want to Read: Want to Read savin. ant to Read.

Beginner's Course in Topology: Geometric Chapters. The main purpose is to present all parts of topology as a unified whole

Beginner's Course in Topology: Geometric Chapters. Beginner's Course in Topology: Geometric Chapters. Published by Secaucus, New Jersey, . Springer Verlag, 1984. The main purpose is to present all parts of topology as a unified whole. As a methodological innovation a coordinateless approach to the theory of fibre bundles and an exposition of the foundation of differerential topology without use of differential equations is presented. Many descriptive examples and drawings are included; each section is followed by a set of well chosen exercises.

Beginner's course in topology : geometric chapters, D. B. Fuks, V. A. Roklintranslated from the Russian by. .In Fuks and Rokhlin, the definition of a topological space is that of a class of subsets, and the impression that is given is that classes are more general than sets

Beginner's course in topology : geometric chapters, D. Roklintranslated from the Russian by A. Lacob. In Fuks and Rokhlin, the definition of a topological space is that of a class of subsets, and the impression that is given is that classes are more general than sets. Overall, the general impression is that authors of topology texts have shown little enthusiasm for the distinction between the concepts of set, class and collection. Reference: ON THE DEFINITION OF A TOPOLOGICAL SPACE. Beginner's course in topology : geometric chapters, D.

Beginner's Course in Topology. Geometric Chapters (Universitext). by D. Rokhlin. Published May 15, 2004 by Springer.

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Beginner’s Course in Topology. Dmitrij Borisovich Fuks, Vladimir Rokhlin, Andrei Iacob. Beginner's course in topology : geometric chapters. The first € price and the £ and $ price are net prices, subject to local VAT. Prices indicated with include VAT for books; the €(D) includes 7% for Germany, the €(A) includes 10% for Austria. Dmitrij Borisovich Fuks, A. Lacob, Vladimir Rokhlin. Set-Theoretical Terms and Notations Used in This Book, but not Generally Adopted. 1 Topological Spaces. 1. Fundamental Concepts.

This book is the result of reworking part of a rather lengthy course of lectures of which we delivered several versions at the Leningrad and Moscow Universities. In these lectures we presented an introduction to the fundamental topics of topology: homology theory, homotopy theory, theory of bundles, and topology of manifolds. The structure of the course was well determined by the guiding term elementary topology, whose main significance resides in the fact that it made us use a rather simple apparatus. tn this book we have retained {hose sections of the course where algebra plays a subordinate role. We plan to publish the more algebraic part of the lectures as a separate book. Reprocessing the lectures to produce the book resulted in the profits and losses inherent in such a situation: the rigour has increased to the detriment of the intuitiveness, the geometric descriptions have been replaced by formulas needing interpretations, etc. Nevertheless, it seems to us tha·t the book retains the main qualities of our lectures: their elementary, systematic, and pedagogical features. The preparation of the reader is assumed to be limi ted to the usual knowledge of set ·theory, algebra, and calculus which mathematics students should master after the first year and a half of studies. The exposition is accompanied by examples and exercises. We hope that the book can be used as a topology textbook.