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 has a wide range of applications, going far beyond strictly John Oprea’s second edition of Differential Geometry and Its.
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“Differential Geometry and its Applications” by John F. Oprea
Description Differential geometry has a long, wonderful history and has found relevance in many areas. This book studies the differential geometry of surfaces with the orpea of helping students make the transition from the standard university curriculum to a type of mathematics that is a unified whole, by mixing geometry, calculus, linear algebra, differential equations, complex variables, the calculus of variations, and notions from the sciences.
Differential geometry is not just for mathematics majors, but also for students in engineering and the sciences. Into the mix of these ideas comes the opportunity to visualize concepts through the use of differentisl algebra systems such as Maple. The book emphasizes that this visualization goes hand-in-hand with the understanding of the mathematics kprea the computer construction. 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.
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Other books in this series. Excursions in Classical Analysis Chen Hongwei. Cryptological Mathematics Robert Edward Lewand. Methods for Euclidean Geometry Owen Byer. Conjecture differdntial Proof Miklos Laczkovich. Learn from the Masters Frank J.
Mathematical Association of America Textbooks: Differential Geometry and its Applications
The Calculus Collection Caren L. Geometry from Africa Paulus Gerdes.
Beyond the Quadratic Lprea Ronald S. The Heart of Calculus Philip M. Arithmetical Wonderland Andrew Liu. The geometry of curves; 2. Constant mean curvature surfaces; 5. Geodesics, metrics and isometries; 6. Holonomy and the Gauss-Bonnet theorem; 7. The calculus of variations and geometry; 8. A glimpse at higher dimensions; Appendix A. List of examples; Appendix B.
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