Title
Differential Geometry: Curves Surfaces Manifolds, Second Edition,New
Delivery time: 8-12 business days (International)
Our First Knowledge Of Differential Geometry Usually Comes From The Study Of The Curves And Surfaces In $I!!R^3$ That Arise In Calculus. Here We Learn About Line And Surface Integrals, Divergence And Curl, And The Various Forms Of Stokes' Theorem. If We Are Fortunate, We May Encounter Curvature And Such Things As The Serretfrenet Formulas.With Just The Basic Tools From Multivariable Calculus, Plus A Little Knowledge Of Linear Algebra, It Is Possible To Begin A Much Richer And Rewarding Study Of Differential Geometry, Which Is What Is Presented In This Book. It Starts With An Introduction To The Classical Differential Geometry Of Curves And Surfaces In Euclidean Space, Then Leads To An Introduction To The Riemannian Geometry Of More General Manifolds, Including A Look At Einstein Spaces. An Important Bridge From The Lowdimensional Theory To The General Case Is Provided By A Chapter On The Intrinsic Geometry Of Surfaces.The First Half Of The Book, Covering The Geometry Of Curves And Surfaces, Would Be Suitable For A Onesemester Undergraduate Course. The Local And Global Theories Of Curves And Surfaces Are Presented, Including Detailed Discussions Of Surfaces Of Rotation, Ruled Surfaces, And Minimal Surfaces.The Second Half Of The Book, Which Could Be Used For A More Advanced Course, Begins With An Introduction To Differentiable Manifolds, Riemannian Structures, And The Curvature Tensor. Two Special Topics Are Treated In Detail: Spaces Of Constant Curvature And Einstein Spaces.The Main Goal Of The Book Is To Get Started In A Fairly Elementary Way, Then To Guide The Reader Toward More Sophisticated Concepts And More Advanced Topics. There Are Many Examples And Exercises To Help Along The Way. Numerous Figures Help The Reader Visualize Key Concepts And Examples, Especially In Lower Dimensions. For The Second Edition, A Number Of Errors Were Corrected And Some Text And A Number Of Figures Have Been Added.
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Returns
To facilitate a smooth return process, a Return Authorization (RA) Number is required for all returns. Returns without a valid RA number will be declined and may incur additional fees. You can request an RA number within 15 days of the original delivery date. For more details, please refer to our Return & Refund Policy page.
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We provide a 2-year limited warranty, from the date of purchase for all our products.
If you believe you have received a defective product, or are experiencing any problems with your product, please contact us.
This warranty strictly does not cover damages that arose from negligence, misuse, wear and tear, or not in accordance with product instructions (dropping the product, etc.).
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Frequently Asked Questions
- Q: What topics are covered in 'Differential Geometry: Curves - Surfaces - Manifolds'? A: The book covers the classical differential geometry of curves and surfaces in Euclidean space, including line and surface integrals, curvature, and Stokes' Theorem, as well as Riemannian geometry and differentiable manifolds.
- Q: Is this book suitable for beginners in differential geometry? A: Yes, the first half of the book is designed for a one-semester undergraduate course, making it suitable for beginners with basic knowledge of multivariable calculus and linear algebra.
- Q: How many pages does this book have? A: The book has a total of 380 pages.
- Q: What is the condition of the book being sold? A: The book is listed as 'Used Book in Good Condition', indicating it may have some wear but is still readable and usable.
- Q: Who is the author of this book? A: The author of 'Differential Geometry: Curves - Surfaces - Manifolds' is Wolfgang Kuhnel.
- Q: When was the second edition of this book published? A: The second edition of the book was published on January 1, 2005.
- Q: What type of binding does this book have? A: The book is available in a paperback binding.
- Q: Are there exercises and examples included in the book? A: Yes, the book includes many examples and exercises to help readers understand key concepts and apply their knowledge.
- Q: Does this book include illustrations or figures? A: Yes, numerous figures are included to help visualize key concepts, especially in lower dimensions.
- Q: What advanced topics are discussed in the second half of the book? A: The second half introduces differentiable manifolds, Riemannian structures, and the curvature tensor, with detailed discussions on spaces of constant curvature and Einstein spaces.