Differential Topology by Victor Guillemin
Differential Topology provides an elementary and intuitive introduction to the study of smooth manifolds. In the years since its first publication, Guillemin and Pollack's book has become a standard text on the subject. It is a jewel of mathematical exposition, judiciously picking exactly the right mixture of detail and generality to display the richness within. The text is mostly self-contained, requiring only undergraduate analysis and linear algebra. By relying on a unifying idea-transversality-the authors are able to avoid the use of big machinery or ad hoc techniques to establish the main results. In this way, they present intelligent treatments of important theorems, such as the Lefschetz fixed-point theorem, the Poincare-Hopf index theorem, and Stokes theorem. The book has a wealth of exercises of various types. Some are routine explorations of the main material. In others, the students are guided step-by-step through proofs of fundamental results, such as the Jordan-Brouwer separation theorem. An exercise section in Chapter 4 leads the student through a construction of de Rham cohomology and a proof of its homotopy invariance. The book is suitable for either an introductory graduate course or an advanced undergraduate course.-
Differential and Integral Calculus
-
Finite Groups
-
Analytic Function Theory, Volume II
-
The Theory of Matrices, Volume 2
-
Quest: an Autobiography
-
Commutative Normed Rings
-
The Theory of Matrices, Volume 1
-
Introduction to Approximation Theory
-
Modular Functions in Analytic Number Theory
-
Lectures on the Calculus of Variations and Optimal Control Theory
-
Complex Cobordism and Stable Homotopy Groups of Spheres
-
3-Manifolds
-
Elementary Number Theory
-
Partial Differential Equations
-
Algebra, an Elementary Text-Book for the Higher Classes of Secondary Schools and for Colleges, Part 2
-
Algebra, an Elementary Text-book for the Higher Classes of Secondary Schools and for Colleges, Part 1
-
Generalized Functions, Volume 1
-
Generalized Functions, Volume 2
-
Generalized Functions, Volume 4
-
The Theory of Probability
-
Algebra
-
Stochastic Integrals
-
Lectures on Differential Geometry
-
Calculus of Variations and Partial Differential Equations of First Order
-
Differential Geometry and Symmetric Spaces
-
Solved and Unsolved Problems in Number Theory
-
Approximation of Functions
-
Collected Papers of Srinivasa Ramanujan
-
Set Theory
-
Collected Papers on Wave Mechanics
-
Basic Geometry
-
Navier-Stokes Equations
-
Analytic Functions of Several Complex Variables
-
Spaces of Constant Curvature
-
Principles of Mathematical Logic
Victor Guillemin, Massachusetts Institute of Technology, Cambridge, MA and Alan Pollack
| SKU | Unavailable |
| ISBN 13 | 9781470481124 |
| ISBN 10 | 147048112X |
| Title | Differential Topology |
| Author | Victor Guillemin |
| Series | Ams Chelsea Publishing |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | American Mathematical Society |
| Year published | 1974-07-30 |
| Number of pages | 222 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |