Differential Geometry and Topology by Keith Burns
Offers an introduction to three related subjects: differential geometry, differential topology, and dynamical systems. This book addresses topics such as Brouwer's fixed point theorem, Morse Theory, and the geodesic flow. It also discuss the Gauss-Bonnet theorem and its implications in non-Euclidean geometry models.-
An Introduction to Quasigroups and Their Representations
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Higher-Order Finite Element Methods
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Invariance Theory
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A Primer on Wavelets and Their Scientific Applications
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Several Complex Variables and the Geometry of Real Hypersurfaces
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Composition Operators on Spaces of Analytic Functions
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Wavelets and Other Orthogonal Systems
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Functional Analysis in Applied Mathematics and Engineering
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An Introduction to Operator Algebras
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Elementary Introduction to the Theory of Pseudodifferential Operators
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CR Manifolds and the Tangential Cauchy Riemann Complex
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Harmonic Analysis and Applications
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Mathematical Quantization
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Wavelets
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A First Course on Wavelets
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Dynamical Systems
"The authors introduce important concepts by means of intuitive discussions and suggestive examples and follow them with significant applications, especially those related to dynamics…The authors have succeeded in the integration of geometric theory, topological theory, and concrete applications to dynamical systems."
-Mathematical Reviews, Andrew Bucki
"The authors of this book treat a great many topics very concisely."
-MAA Reviews, William J. Satzer, 2005
"A noteworthy feature of the presentation is that dynamical systems, which are introduced in the second chapter, are used systematically to illustrate concepts and as a source of applications."
-CMS Notes, Vol. 38, No. 2, March, 2006
". . . very well written, in a very pedagogical manner and it covers a lot of material in a very clear way. I think this is an ideal introduction to differential geometry and topology for beginning graduate students or advanced undergraduate students in mathematics, but it will be, also, useful to physicist or other scientists with an interest in differential geometry and dynamical systems."
– Paul Blaga, in Babes- Bolyai Mathematica, June 2007, Vol. 52, No. 2
"Numerous illustrations and exercises round off the picture of an original and very readable textbook."
– M. Kunzinger, in Monatshefte fur Math, 2007, Vol. 152, No. 1
| SKU | Unavailable |
| ISBN 13 | 9781584882534 |
| ISBN 10 | 1584882530 |
| Title | Differential Geometry and Topology |
| Author | Keith Burns |
| Series | Studies In Advanced Mathematics |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | Taylor & Francis Inc |
| Year published | 2005-05-27 |
| Number of pages | 400 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |