Algebraic and Differential Topology presents in a clear, concise, and detailed manner the fundamentals of homology theory. It first defines the concept of a complex and its Betti groups, then discusses the topolgoical invariance of a Betti group. The book next presents various applications of homology theory, such as mapping of polyhedrons onto other polyhedrons as well as onto themselves. The third volume in L.S. Pontryagin's Selected Works, this book provides as many insights into algebraic topology for today's mathematician as it did when the author was making his initial endeavors into this field.
FREE Two-Day Shipping for students on millions of items. Learn more |
Book Description
Editorial Reviews
Language Notes
Text: English, Russian (translation)
Product Details
Would you like to update product info or give feedback on images?
|
More About the Author
Discover books, learn about writers, read author blogs, and more.
Customer Reviews
|
There are no customer reviews yet.
|
|||
|
Video reviews
|
Inside This Book
(learn more)
First Sentence:
Algebraic topology studies geometric objects by subdividing them into simple geometric figures, called simplexes, properly adjoining each other. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
framed manifold, framed submanifold, simplicial mapping, homological classification, homotopic classification, looping coefficient, general position relative, arbitrary simplex, homeomorphic mapping, conic construction, improper points, homological invariants, oriented simplex, complete inverse image, compact commutative groups, homotopic mappings, smooth homeomorphism, homotopic classes, open simplex, barycentric subdivision, onto isomorphism, star condition, noncritical values, smoothness class, smooth homotopy New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
Algebraic topology studies geometric objects by subdividing them into simple geometric figures, called simplexes, properly adjoining each other. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
framed manifold, framed submanifold, simplicial mapping, homological classification, homotopic classification, looping coefficient, general position relative, arbitrary simplex, homeomorphic mapping, conic construction, improper points, homological invariants, oriented simplex, complete inverse image, compact commutative groups, homotopic mappings, smooth homeomorphism, homotopic classes, open simplex, barycentric subdivision, onto isomorphism, star condition, noncritical values, smoothness class, smooth homotopy New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
Citations (learn more)
This book cites 5
books:
12
books
cite this book:
See all 12 books citing this book
- L.S. Pontryagin: Topological Groups (Classics of Soviet Mathematics) by R. V. Gamkrelidze in Front Matter (1), Front Matter (2), and Front Matter (3)
- L.S. Pontryagin: Mathematical Theory of Optimal Processes (Classics of Soviet Mathematics) by L.S. Pontryagin in Front Matter (1), Front Matter (2), and Front Matter (3)
- Set Theory. Third Edition by Felix Hausdorff in Front Matter (1), and Front Matter (2)
- Selected Research Papers (Classics of Soviet Mathematics) by L.S. Pontryagn in Front Matter
- Ordinary Differential Equations by L.S. Pontryagin in Front Matter
- L.S. Pontryagin: Topological Groups (Classics of Soviet Mathematics) by R. V. Gamkrelidze in Front Matter (1), and Front Matter (2)
- L.S. Pontryagin: Mathematical Theory of Optimal Processes (Classics of Soviet Mathematics) by L.S. Pontryagin in Front Matter (1), and Front Matter (2)
- L V Kantorovich (Classics of Soviet Mathematics) Part I and II (Pt.2) by Vsevolod L Kantorovich in Front Matter
- Descriptive Theory of Sets and Functions. Functional Analysis in Semi-ordered Spaces (Classics of Soviet Mathematics) (Pt. 1) by Raymond Bonnett in Front Matter
- Applied Functional Analysis. Approximation Methods and Computers: Applied Functional Analysis, Approximation Methods and Computers (Classics of Soviet Mathematics) by S.S. Kutateladze in Front Matter
See all 12 books citing this book
Books on Related Topics
(learn more)
|
Tag this product(What's this?)Think of a tag as a keyword or label you consider is strongly related to this product.
Tags will help all customers organize and find favorite items. |
Sell a Digital Version of This Book in the Kindle Store
If you are a publisher or author and hold the digital rights to a book, you can sell a digital version of it in our Kindle Store.
Learn more
Customer Discussions
|
This product's forum
Active discussions in related forums
Search Customer Discussions
|
Related forums
|
