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Algebraic Topology: A First Course (Mathematics Lecture Note Series) ePub download

by John R. Harper,Marvin J. Greenberg

  • Author: John R. Harper,Marvin J. Greenberg
  • ISBN: 0805335579
  • ISBN13: 978-0805335576
  • ePub: 1385 kb | FB2: 1933 kb
  • Language: English
  • Category: Mathematics
  • Publisher: Westview Press; 1 edition (January 24, 1981)
  • Pages: 320
  • Rating: 4.7/5
  • Votes: 945
  • Format: docx mbr rtf doc
Algebraic Topology: A First Course (Mathematics Lecture Note Series) ePub download

Series: Mathematics Lecture Note Series (Book 58). Paperback: 320 pages.

Series: Mathematics Lecture Note Series (Book 58). Harper's additions in this revision contribute a more geometric flavor to the development, adding many examples, figures and exercises to balance the algebra nicely. Harper also provided slicker proofs of a few of the theorems in the original, and added lots of new material not previously discussed (such as about knots).

Algebraic topology: a first course. Algebraic topology: a first course. Marvin J. Greenberg, John R. Harper. Скачать (djvu, . 8 Mb).

A revision of the first author's Lectures on algebraic topology-P Algebraic topology : a first course. by. Greenberg, Marvin J; Harper, John . 1941-.

A revision of the first author's Lectures on algebraic topology-P. Algebraic topology : a first course.

A functorial, algebraic approach originally by Greenberg with geometric flavoring added by Harper. Hatcher, Allen (2002), Algebraic Topology, Cambridge: Cambridge University Press, ISBN 0-521-79540-0. A modern, geometrically flavoured introduction to algebraic topology. Philip J. Higgins, Categories and groupoids (1971) Van Nostrand-Reinhold.

Great first book on algebraic topology. Marvin Jay Greenberg, John R. Lectures on Algebraic Topology (Mathematics Lecture Note Series). Great first book on algebraic topology. Introduces (co)homology through singular theory. 0805335579 (ISBN13: 9780805335576).

Series: Mathematics Lecture Note Series. Other readers will always be interested in your opinion of the books you've read. Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them. 1. Electromagnetic theory and computation: a topological approach. Paul W. Gross, P. Robert Kotiuga.

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oceedings{icT, title {Algebraic topology - a first course}, author {Marvin J. Greenberg and John R. Harper}, booktitle {Mathematical lecture note series}, year {1967} }. Published in Mathematical lecture note series 1967. M J Greenberg; J R Harper. Published by Basic Books, USA (1981)

Great first book on algebraic topology. Published by Basic Books, USA (1981). ISBN 10: 0805335587 ISBN 13: 9780805335583.

The lectures focus on the ideas; their assimilation requires more .

The lectures focus on the ideas; their assimilation requires more calculational examples and applications than are included in the text. I have ended with a brief and idiosyncratic guide to the literature for the reader interested in going further in algebraic topology. We introduce algebraic topology with a quick treatment of standard mate-rial about the fundamental groups of spaces, embedded in a geodesic proof of the Brouwer xed point theorem and the fundamental theorem of algebra. What is algebraic topology? A topological space X is a set in which there is a notion of nearness of points.

Great first book on algebraic topology. Introduces (co)homology through singular theory.
Tamesya
good
Freaky Hook
I think this book is most notable for its emphasis on the Eilenberg-Steenrod axioms for homology theory and for the verification of those axioms for the invariant singular homology theory. Using those results, the author shows how to calculate the homology groups of finite cell complexes (and more generally of a space obtained by adjunction from a known space). This provides all the classical results for spheres, compact surfaces, real, complex and quaternionic projective spaces, lens spaces etc. without going through the more tedious method of simplicial complexes. He was able similarly to prove the well-known duality theorems for manifolds and the Lefschetz Fixed Point Theorem, following ideas of Dold. Anyway, this book begins with the basic theory of the fundamental group and covering spaces; then defines the higher homotopy groups and proves they are abelian, but doesn't go further into that theory.

The original book by Greenberg heavily emphasized the algebraic aspect of algebraic topology. Harper's additions in this revision contribute a more geometric flavor to the development, adding many examples, figures and exercises to balance the algebra nicely. Harper also provided slicker proofs of a few of the theorems in the original, and added lots of new material not previously discussed (such as about knots). The result is a nicely balanced presentation of a branch of mathematics that began toward the end of the 19th century and has had pretty spectacular development ever since!
PC-rider
This text is suitable for students of mathematics without prior knowledge of algebraic topology. The best thing with this is Part 2 which treats singular homology theory. However, you may want to resort to Maunder for an effeective introductin to elelmentary homotopy theory, and to Dold for and intruduction to orientation and duality.
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