I’m looking for books explaining the differential geometry to the engineer with basic linear algebra / calculus knowledge. The question is, if the information in the first 5 chapters really add to a regular Calculus book (which is probably shorter, better illustrated, and has more examples). The book is good written and not too loaded, but better modern books can be found to learn from. Cookies help us deliver our Services. From the books I understood that I need to learn much more than I need/want to know. I feel that it isn’t detail. You could check out Petersen's notes "Classical Differential Geometry". Huh. I’m an engineering. This is more abstract and probably better suited for pure math students. You can use Do Carmo's Curves and Surfaces book to learn some of the basics, that's appropriate for self-study. Maybe I’ll be able to suggest something if you have any specific topics in mind. Buy Cartan for Beginners: Differential Geometry Via Moving Frames and Exterior Differential Systems (Graduate Studies in Mathematics) on Amazon.com FREE SHIPPING on qualified orders Cartan for Beginners: Differential Geometry Via Moving Frames and Exterior Differential Systems (Graduate Studies in Mathematics): Ivey, Thomas A., Landsberg, J. M.: 9780821833759: Amazon.com: … All of this is heavily based on tensor notation, which is overloaded with indices and definitions. However, could someone recommend a cohesive resource (book/lectures) that would be self sufficient for someone with no background? If you want to take a look at some books, check out Lee and Warner. Introduction to moving frames is given on page 18 already. Therefore, my professor suggests some books such as “Nonlinear control systems” of Isidori and “Nonliear dynamic control systems” of H. Neijmeijer. Spivak wrote a short and good book. Posted on October 21, 2010 | 7 Comments. Generally this book is good, and not presupposing too much prerequisites. You also don't need much analysis, but having taken a difficult proof-heavy math course would help a lot. I like Christian Bär: Elementary Differential Geometry, The analytical approach: do calculus on manifolds. You need no algebraic topology whatsoever and very little of analysis. The book concentrates on plane 2D curves. The book includes the algebra of triples, Differential Geometry for Beginners: Books Review, Comparison of Mathematical Add-ins for Wikis and Onenote, Geometric Partial Differential Equations and Image Analysis, Elementary Geometry of Differentiable Curves: An Undergraduate Introduction, Differential Geometry of Curves and Surfaces, Modern Differential Geometry of Curves and Surfaces with Mathematica, Schaum’s Outline of Theory and Problems of Tensor Calculus, A Comprehensive Introduction to Differential Geometry, productivity-tips-hints-hacks-tricks-for-grad-students-academics. This path is called a geodesic. I’m afraid not. It includes local and global curves and surfaces geometry. In this book, the emphasis is on tensors, though Riemannian geometry is studied too. On a positive side, this book has a lot of examples (numerical and graphical), and it is sufficiently easy to read and comprehend. Further the Riemannian curvature and tensor fields on manifolds are discussed. Could anyone recommend a quick way to get started with Differential Geometry? A Geometric Approach to Differential Forms, Petersen's notes "Classical Differential Geometry". No mentions of 3D geometry, surfaces, geodesics, manifolds. I don’t like its theorem-proof pattern. On a positive side, this book has a lot of examples (numerical and graphical), and it is sufficiently easy to read and comprehend. I think you'll need to go deeper for your interests, but I'm not totally sure. I understand from MIT OCW that I need to have background in Analysis and Algebraic Topology. Probably I will end up with my own notes extracted from different sources. ( Log Out / Thanks you for your advice. On the other hand, the first 6 chapters are on Einstein summation convention, tensors, and operations on tensors, and only in chapter 7 the Riemannian geometry of curves is given. The analytical approach: do calculus on manifolds. 2 CHAPTER 1. Thank you so much! The first two chapters include introduction to algebra and calculus. I’m looking for books explaining the differential geometry to the engineer with basic linear algebra / calculus knowledge. Differential geometry can be successfully used in many areas of study from special relativity to image processing. Edit: Forgot to mention it’s got lots of problems and solutions for most of them. Unless you are fluent in topological equivalence I don’t see the point to read further. ( Log Out / Hence, I do not have a very strong background in formal mathematics. Contents look very promising: begins directly with manifold definition, proceed with structures, include PDE, tensors, differential forms, Lie groups, and topology. I could do with an intro to Diff Geo before the summer but hadn't really though about it, and suddenly here's a thread with a bunch of recommendations. Whatever any mathematician call accessible, most engineers will call incomprehensible. Hi, The book is 370 pages only, and it has even answers to selected exercises. Some books begin with tensors, some with point-set topology, and others with calculus/algebra/geometry definition-theorem-proof horrible (for engineer) scheme. Differential Geometry for Beginners: Books Review. The book is focussed on curve and surface local differential geometry. U f Figure 1.1: A chart Perhaps the user of such a map will be content to use the map to plot the shortest path between two points pand qin U. The most newbie friendly book I know of is Vector Analysis by Janich (don't let the name fool you, it's about manifolds). Can you recommend me a book containing an accessible intorduction to curves, surfaces and manifolds? It has a lot of examples and computer scripts, without too much proofs.

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