Buy Differential Geometry of Curves and Surfaces: Revised and Updated Second Riemannian Geometry by Manfredo Perdigao do Carmo Hardcover $ They were translated for a course in the College of Differential Geome try, In Chapter 2 we start integrating differential forms of degree one along curves in Rn. This not essential) that the reader be familiar with the notion of a regular surface in applications: Topology, Differential Geometry, Mechanics, Lie Groups, etc. M. P. do Carmo, Differential Geometry of Curves and Surfaces, Prentice-Hall, W. Kühnel, Differential Geometry: Curves – Surfaces – Manifolds (Student.

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There was a problem filtering reviews right now. The paper quality and printing is good and the binding is standard quality for a paperback book. Alexa Actionable Analytics for the Web. See all 13 reviews.

Differential Geometry of Curves and Surfaces: Revised and Updated Second Edition

Get to Know Us. Principles of Mathematical Analysis. Differential Geometry of Curves and Surfaces: From the Back Cover. Top Reviews Most recent Top Reviews. From those readings, I had roughly figured out on my own that one of the most important uses of DG was describing the curvature of surfaces in n-space without the need to rely on coordinates or vector components.

Suitable for advanced undergraduates and graduate students of mathematics, this text’s prerequisites include an undergraduate course in linear algebra and some familiarity with the calculus of several variables.

Anything more than this such as a course on differential equations would be helpful but isn’t necessary. This edition corrects the errors of the book ofthanks to Dover Publications! An Introduction to Differential Geometry.

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One person found this helpful. For this second edition, the author has corrected, revised, and updated the entire volume. Amazon Advertising Find, attract, and engage customers.

The presentation departs from the traditional approach with its more extensive use of elementary linear algebra and its emphasis on basic geometrical facts rather than machinery or random details. English Choose a language for shopping.

Thus, in the clearest of expositions, including annotated diagrams, the necessary theorem proofs, and a graduated set of problems, the author then proceeds to show us just how DG is done. By formulating them in terms of the differential calculus of curvature tensors, Riemann allowed non-Euclidean geometry to be applied to curves and surfaces at higher dimensions, and thus allowed DG to take its proper place in the kit of tools for investigating the mechanical sciences.

Please try again later. Buy the selected items together This item: It does use Christoffel Symbols later in the book. I love Dover Pub. Elementary Differential Geometry, Revised 2nd Edition. This book doesnt really use any Tensors good because I haven’t studied Tensors yet. Especially font and illustration better than 1st Ed of Pearson Prentice-Hall. Get fast, free shipping with Amazon Prime.

Differential Geometry of Curves and Surfaces: Revised and Updated Second Edition

I wish I had discovered it before I had to struggle thru several confounded arguments to arrive at some understanding of what is going on. Dover Books on Mathematics Paperback: Would you like to tell us about a lower price? InBernard Riemann, following Gauss et.

Share your thoughts with other customers. If you hope to find application to General Relativity in this text ComiXology Thousands of Digital Comics. Customers who bought this item also bought. Read more Read less. Learn more about Amazon Giveaway. Shopbop Designer Fashion Brands. Ships from and sold by Amazon. Write a customer review. Differential Geometry of Curves and Surfaces. Many examples and exercises enhance the clear, well-written exposition, along with hints and answers to some of the og.

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Many examples and exercises enhance the clear, well-written exposition, along with hints and answers to some of the problems. Add both to Cart Add both to List. The treatment begins with a chapter on curves, followed by explorations of regular surfaces, the geometry of the Gauss map, the intrinsic geometry of surfaces, and global differential geometry. Curvature in Mathematics and Physics.

Tensor Calculus Made Simple. Revised and Updated Second Edition By: Suitable for advanced undergraduates and graduate students of mathematics, this text’s prerequisites include an undergraduate course in linear algebra and some familiarity with the calculus of several variables. With the said prerequisites, you should be able to follow most, if not all, the proofs. Lectures on Classical Differential Veometry The treatment begins with a chapter on curves, followed by explorations of regular surfaces, the geometry of the Gauss map, the intrinsic geometry of surfaces, and global differential geometry.

Overall, the math content of the book is perfect for a first introduction to differential geometry. Differential Geometry Dover Books on Mathematics.