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Elementary differential geometry [electronic resource] /

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자료유형E-Book
개인저자Ba?r, Christian.
서명/저자사항Elementary differential geometry[electronic resource] /Christian Ba?r.
발행사항New York : Cambridge University Press, c2010.
형태사항1 online resource (xii, 317 p.) : ill.
ISBN9780511729775 (electronic bk.)
0511729774 (electronic bk.)
일반주기 Description based on print version record.
서지주기Includes bibliographical references and index.
내용주기Machine generated contents note: Preface; Notation; 1. Euclidean geometry; 2. Curve theory; 3. Classical surface theory; 4. The inner geometry of surfaces; 5. Geometry and analysis; 6. Geometry and topology; 7. Hints for solutions to (most) exercises; Formulary; List of symbols; References; Index.
요약"The link between the physical world and its visualization is geometry. This easy-to-read, generously illustrated textbook presents an elementary introduction to differential geometry with emphasis on geometric results. Avoiding formalism as much as possible, the author harnesses basic mathematical skills in analysis and linear algebra to solve interesting geometric problems, which prepare students for more advanced study in mathematics and other scientific fields such as physics and computer science. The wide range of topics includes curve theory, a detailed study of surfaces, curvature, variation of area and minimal surfaces, geodesics, spherical and hyperbolic geometry, the divergence theorem, triangulations, and the Gauss-Bonnet theorem. The section on cartography demonstrates the concrete importance of elementary differential geometry in applications. Clearly developed arguments and proofs, colour illustrations, and over 100 exercises and solutions make this book ideal for courses and self-study. The only prerequisites are one year of undergraduate calculus and linear algebra"--Provided by publisher.
일반주제명Geometry, Differential -- Textbooks.
언어영어
기타형태 저록Print version:Ba?r, Christian.Elementary differential geometry.New York : Cambridge University Press, c20109780521896719
대출바로가기http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=317645

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