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Differential geometry and its applications

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Published by Prentice Hall in Upper Saddle River, NJ .
Written in English

Subjects:

  • Geometry, Differential.

Book details:

Edition Notes

Includes bibliographical references (p. 376-379) and index.

StatementJohn Oprea.
Classifications
LC ClassificationsQA614 .O67 1997
The Physical Object
Paginationxi, 387 p. :
Number of Pages387
ID Numbers
Open LibraryOL972169M
ISBN 100133407381
LC Control Number96009009

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KEY WORDS: Curve, Frenet frame, curvature, torsion, hypersurface, funda-mental forms, principal curvature, Gaussian curvature, Minkowski curvature, manifold, tensor eld, connection, geodesic curve SUMMARY: The aim of this textbook is to give an introduction to di er-ential geometry. It is based on the lectures given by the author at E otv os. We checked s of book reviews and rating to come up with the best differential geometry book list! You can find the list of the best books on differential geometry here: Best Books on differential geometry. Information Geometry and Its Applications (Applied Mathematical Sciences) Springer; Hardcover Book; Amari, Shun-ichi (Author). Dec 07,  · Hi, I'm already familiar with differential forms and differential geometry (I used multiple books on differential geometry and I love the dover book that is written by Guggenheimer. Also used one by an Ian Thorpe), and was wondering if anyone knew a good book on it's applications. Preferably not just in the realm of relativity. Among the many topics covered in this volume are Riemannian geometry, Finsler geometry, the theory of submanifolds and applications of differential geometry in mathematical physics.

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. This book studies the differential geometry of surfaces with the goal of helping students make the transition from the compartmentalized courses in a standard 5/5(1). Differential Geometry and Its Applications (Book): Opera, John: "Differential Geometry and Its Applications studies the differential geometry of surfaces with the goal of helping students make the transition from the compartmentalized courses in a standard university curriculum to a type of mathematics that is a unified whole. It mixes geometry, calculus, linear algebra, differential. This book studies the differential geometry of surfaces and aims to help students make the transition from the standard university curriculum to a type of mathematics that is a unified whole, by Read more. Jun 20,  · Differential Geometry and Its Applications was written to help students adapt to “a type of mathematics that is a unified whole,” one that mixes together geometry, calculus, linear algebra, differential equations, complex variables, the calculus of variations, and .

April 19, WSPC/Book Trim Size for 9in x 6in ApplDifGeom viii Applied Differential Geometry: A Modern Introduction The fifth chapter develops modern jet bundle geometry, together with its main applications in non–autonomous mechanics and field physics. All material in this chapter is based on the previous chapter. Dec 31,  · Differential Geometry and Its Applications emphasizes that this visualization goes hand in hand with understanding the mathematics behind the computer construction. The book is rich in results and exercises that form a continuous spectrum, from those that . This is the book on a newly emerging field of discrete differential geometry. It surveys the fascinating connections between discrete models in differential geometry and complex analysis, integrable systems and applications in computer graphics. ( views) Principles of Differential Geometry by Taha Sochi - . Differential Geometry and Its Applications book. Read reviews from world’s largest community for readers. For undergraduate courses in Differential Geome Differential Geometry and Its Applications book. Read reviews from world’s largest community for readers. this text provides an introduction to the basics of the calculus of 3/5.