Ebook190 pages5 hours
Differential Manifolds
Rating: 5 out of 5 stars
5/5
()
About this ebook
Differential Manifolds is a modern graduate-level introduction to the important field of differential topology. The concepts of differential topology lie at the heart of many mathematical disciplines such as differential geometry and the theory of lie groups. The book introduces both the h-cobordism theorem and the classification of differential structures on spheres. The presentation of a number of topics in a clear and simple fashion make this book an outstanding choice for a graduate course in differential topology as well as for individual study.
- Presents the study and classification of smooth structures on manifolds
- It begins with the elements of theory and concludes with an introduction to the method of surgery
- Chapters 1-5 contain a detailed presentation of the foundations of differential topology--no knowledge of algebraic topology is required for this self-contained section
- Chapters 6-8 begin by explaining the joining of manifolds along submanifolds, and ends with the proof of the h-cobordism theory
- Chapter 9 presents the Pontriagrin construction, the principle link between differential topology and homotopy theory; The final chapter introduces the method of surgery and applies it to the classification of smooth structures on spheres
Read more from Antoni A. Kosinski
Dover Books on Mathematics
Related to Differential Manifolds
Titles in the series (96)
Connections, Curvature, and Cohomology Volume 3 Rating: 5 out of 5 stars5/5Scattering Theory, Revised Edition Rating: 0 out of 5 stars0 ratingsTopology Rating: 5 out of 5 stars5/5Resolution of Singularities of Embedded Algebraic Surfaces Rating: 0 out of 5 stars0 ratingsTopological Vector Spaces, Distributions and Kernels Rating: 0 out of 5 stars0 ratingsDifferential Algebra & Algebraic Groups Rating: 0 out of 5 stars0 ratingsBanach Algebra Techniques in Operator Theory Rating: 0 out of 5 stars0 ratingsTheory of Categories Rating: 0 out of 5 stars0 ratingsDistributions and Fourier Transforms Rating: 4 out of 5 stars4/5Multiplicative Theory of Ideals Rating: 0 out of 5 stars0 ratingsNumber Theory Rating: 0 out of 5 stars0 ratingsIntroduction to Compact Transformation Groups Rating: 0 out of 5 stars0 ratingsInfinite Abelian Groups Rating: 0 out of 5 stars0 ratingsHomotopy Theory Rating: 0 out of 5 stars0 ratingsMeasure and Integration Theory on Infinite-Dimensional Spaces: Abstract harmonic analysis Rating: 0 out of 5 stars0 ratingsPolynomial Identities in Ring Theory Rating: 0 out of 5 stars0 ratingsTheory of H[superscript p] spaces Rating: 0 out of 5 stars0 ratingsDimension Theory Rating: 0 out of 5 stars0 ratingsConnections, Curvature, and Cohomology V1: De Rham cohomology of manifolds and vector bundles Rating: 0 out of 5 stars0 ratingsCritical Point Theory in Global Analysis and Differential Topology: An introduction Rating: 0 out of 5 stars0 ratingsMathematical Cosmology and Extragalactic Astronomy Rating: 0 out of 5 stars0 ratingsAn Introduction to Classical Complex Analysis Rating: 0 out of 5 stars0 ratingsSpectral Synthesis Rating: 0 out of 5 stars0 ratingsQuantum Mechanics in Hilbert Space Rating: 0 out of 5 stars0 ratingsErgodic Theory and Topological Dynamics Rating: 0 out of 5 stars0 ratingsIntegral Matrices Rating: 0 out of 5 stars0 ratingsQuantum Mechanics in Hilbert Space Rating: 0 out of 5 stars0 ratingsAlgebraic Number Fields Rating: 0 out of 5 stars0 ratingsRiemannÆs zeta function Rating: 4 out of 5 stars4/5
Related ebooks
Topics in Differential Geometry Rating: 5 out of 5 stars5/5An Introduction to Differentiable Manifolds and Riemannian Geometry Rating: 0 out of 5 stars0 ratingsSemi-Riemannian Geometry With Applications to Relativity Rating: 0 out of 5 stars0 ratingsRepresentations of Finite Groups Rating: 0 out of 5 stars0 ratingsApplications of Finite Groups Rating: 0 out of 5 stars0 ratingsVector Bundles - Vol 1: Foundations and Stiefel - Whitney Classes Rating: 5 out of 5 stars5/5Some Modern Mathematics for Physicists and Other Outsiders: An Introduction to Algebra, Topology, and Functional Analysis Rating: 0 out of 5 stars0 ratingsMathematical Analysis: A Special Course Rating: 0 out of 5 stars0 ratingsIntroduction to Higher Algebra Rating: 0 out of 5 stars0 ratingsCohomology and Differential Forms Rating: 5 out of 5 stars5/5Differential Topology: An Introduction Rating: 0 out of 5 stars0 ratingsHomotopy Theory: An Introduction to Algebraic Topology Rating: 0 out of 5 stars0 ratingsDifferential Forms with Applications to the Physical Sciences Rating: 5 out of 5 stars5/5Semi-Simple Lie Algebras and Their Representations Rating: 4 out of 5 stars4/5Differential Geometric Structures Rating: 4 out of 5 stars4/5Differential Topology: First Steps Rating: 0 out of 5 stars0 ratingsTheory of Functions, Parts I and II Rating: 3 out of 5 stars3/5Differential Geometry Rating: 5 out of 5 stars5/5Analysis on Real and Complex Manifolds Rating: 0 out of 5 stars0 ratingsDifferential Forms: Theory and Practice Rating: 5 out of 5 stars5/5Noncommutative Geometry Rating: 0 out of 5 stars0 ratingsAsymptotics and Special Functions Rating: 0 out of 5 stars0 ratingsDifferential Geometry Rating: 0 out of 5 stars0 ratingsFunctional Analysis Rating: 4 out of 5 stars4/5Lectures on Modular Forms Rating: 0 out of 5 stars0 ratingsGeneral Topology Rating: 4 out of 5 stars4/5Differential Manifolds and Theoretical Physics Rating: 5 out of 5 stars5/5Algebraic Extensions of Fields Rating: 0 out of 5 stars0 ratingsRing Theory, 83: Student Edition Rating: 1 out of 5 stars1/5Groups, Rings, Modules Rating: 0 out of 5 stars0 ratings
Mathematics For You
Quantum Physics for Beginners Rating: 4 out of 5 stars4/5Calculus For Dummies Rating: 4 out of 5 stars4/5Basic Math & Pre-Algebra For Dummies Rating: 4 out of 5 stars4/5Algebra - The Very Basics Rating: 5 out of 5 stars5/5Algebra I Workbook For Dummies Rating: 3 out of 5 stars3/5Basic Math Notes Rating: 5 out of 5 stars5/5Geometry For Dummies Rating: 5 out of 5 stars5/5The Everything Guide to Algebra: A Step-by-Step Guide to the Basics of Algebra - in Plain English! Rating: 4 out of 5 stars4/5Mental Math Secrets - How To Be a Human Calculator Rating: 5 out of 5 stars5/5My Best Mathematical and Logic Puzzles Rating: 5 out of 5 stars5/5Game Theory: A Simple Introduction Rating: 4 out of 5 stars4/5Introducing Game Theory: A Graphic Guide Rating: 4 out of 5 stars4/5The Elements of Euclid for the Use of Schools and Colleges (Illustrated) Rating: 0 out of 5 stars0 ratingsThe Everything Everyday Math Book: From Tipping to Taxes, All the Real-World, Everyday Math Skills You Need Rating: 5 out of 5 stars5/5The Little Book of Mathematical Principles, Theories & Things Rating: 3 out of 5 stars3/5See Ya Later Calculator: Simple Math Tricks You Can Do in Your Head Rating: 4 out of 5 stars4/5Relativity: The special and the general theory Rating: 5 out of 5 stars5/5The Golden Ratio: The Divine Beauty of Mathematics Rating: 5 out of 5 stars5/5Calculus Made Easy Rating: 4 out of 5 stars4/5The Math of Life and Death: 7 Mathematical Principles That Shape Our Lives Rating: 4 out of 5 stars4/5A Mind for Numbers | Summary Rating: 4 out of 5 stars4/5ACT Math & Science Prep: Includes 500+ Practice Questions Rating: 3 out of 5 stars3/5GED® Math Test Tutor, 2nd Edition Rating: 0 out of 5 stars0 ratingsIs God a Mathematician? Rating: 4 out of 5 stars4/5Real Estate by the Numbers: A Complete Reference Guide to Deal Analysis Rating: 0 out of 5 stars0 ratings
Reviews for Differential Manifolds
Rating: 5 out of 5 stars
5/5
1 rating0 reviews
Book preview
Differential Manifolds - Antoni A. Kosinski
Enjoying the preview?
Page 1 of 1