Differential geometry has a long, wonderful history it has found relevance in areas ranging from machinery design of the classification of. For undergraduate courses in Differential Geometry. Designed not just for the math major but for all students of science, this text provides an introduction to the . Differential geometry and its applications / John Oprea. Author. Oprea, John. Published. Upper Saddle River, NJ: Prentice Hall, c Physical Description.
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Geodesics, Metrics and Isometries Ch. Examples in Chapter 7. Want to Read saving…. Differdntial the mix of these ideas comes the opportunity to visualize concepts through the use of computer algebra systems such as Maple. This single location in Victoria: Disciplines Algebraic Geometry Mathematics. Wagga Wagga Campus Library.
Selected pages Title Page. Geodesics, metrics and isometries; 6. Conjecture and Proof Miklos Laczkovich. 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. Recommended Citation Oprea, John F.
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Freyja rated it liked it Aug 15, To see what your friends thought of this book, please sign up. Open Preview See a Problem? The book emphasizes that this visualization goes hand-in-hand with the understanding of the mathematics behind the computer construction. 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. Differential geometry is not just for mathematics majors, but also for students in engineering and the sciences. Lists with This Book. Differential Geometry and its Applications. Floietoss added it Mar 30, I like this book in retrospect Open to the public ; Want to Read Currently Reading Read.
Mathematical Association of America Textbooks: Differential Geometry and its Applications
No trivia or quizzes yet. Mathematical Association of America Textbooks: List of examples; Appendix B. Just a moment while we sign you in to your Goodreads account. Differential geometry has a wide range of applications, going far beyond strictly mathematical pursuits to include architecture, engineering, and just about every scientific discipline.
“Differential Geometry and its Applications” by John F. Oprea
The Calculus Collection Caren L. Book ratings by Goodreads. Into the mix of these ideas comes the opportunity to visualize concepts through the use of computer algebra systems such as Maple. University of Western Australia. The calculus of variations and geometry; 8. The geometry of curves; differentiwl. Differential geometry has a long, wonderful history it has found relevance in areas ranging from machinery design of the classification of four-manifolds to the creation of theories of nature’s fundamental forces to the study of DNA.
K added it Jun 25, Zack Newman rated it it was ok Nov 21, Methods for Euclidean Geometry Owen Byer. The Geometry of Curves Ch. Furthermore, the book shows how the equations of motion of particles constrained to surfaces are actually types of geodesics. This book is not yet featured on Listopia. Geometry from Africa Paulus Gerdes.
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The book emphasizes that this visualization goes hand-in-hand with the understanding of the mathematics behind the computer construction. We were unable to find this edition in any bookshop we are able to search.
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