Differential Geometry and its Applications (Classroom Resource Materials) (Mathematical Association of America Textbooks)
|Rating||:||4.90 (549 Votes)|
|Number of Pages||:||510 Pages|
It mixes together geometry, calculus, linear algebra, differential equations, complex variables, the calculus of variations, and notions from the sciences. The book is rich in results and exercises that form a continuous spectrum, from those that depend on calculation to proofs that are quite abstract.. The mix of ideas offer students the opportunity to visualize concepts through the use of computer algebra systems such as Maple. Students will not only see geodesics on surfaces, but they will also observe the effect that an abstract result such as the Clairaut relation can have on geodesics. Differential geometry has a long, wonderful history. Differential geometry is not just for mathematics majors. This book studies the dif
This is a clearly written book which could serve well as a text for an undergraduate course in differential geometry for either one or two semesters.Overall, this is an impressive book that would be an excellent text for an undergraduate course in differential geometry. --Thomas E. Cecil, Mathematical Reviews
clearest undergrad differential geometry text around A. Ali This is a very well-written text on modern differential geometry for undergraduates. The content of the book is similar to O'Neill's "Elementary Differential Geometry" (e.g. covariant derivatives, shape operators), but it's easier to read. There are many undergrad texts around -- O'Neill, do Carmo, Pressley -- but this one is the most lucidly written one hands-down.Afer going through Oprea, one might like to tackle O'Neill's "Elementary Differential Geometry" and Vols 2-4 of Spivak's "Comprehensive Introduction to D.G."Like O'Neill, Oprea develops surface theory using th. "that this is an excellent introductory text that fits into the undergraduate curriculum following" according to Lionel Mordecai. The other reviewers are correct; that this is an excellent introductory text that fits into the undergraduate curriculum following the normal calculus sequence for scientists and engineers.Sadly, however, its power has been greatly weakened by changes that have been made in MAPLE, an applications program that is used in the book to illustrate geometrical points. Syntactical changes made as MAPLE has evolved from version 10 to version 18 and beyond, have made it impossible to run Oprea' demonstrations. Without these demonstrations, a very interesting and useful book has b. A Customer said Nice introduction and applications of differential geometry. I found this book to be a fine introduction to this subject. I was particularly pleased with the practical examples outlined in the book. Even though I am not extremely proficient with Maple, I found the exercises using this software provided important illustrations of applications.