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Elementary differential geometry /

Bar, Christian.

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Elementary differential geometry /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Elementary differential geometry // Christian Bar.
作者:	Bar, Christian.
出版者:	New York :Cambridge University Press, : 2010.,
面頁冊數:	xii, 317 p. :ill. ;26 cm.
內容註:	Machine 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.
標題:	Geometry, Differential -
電子資源:	http://assets.cambridge.org/97805218/96719/cover/9780521896719.jpg
ISBN:	9780521721493 (pbk.) :

Elementary differential geometry /
Bar, Christian.

Elementary differential geometry /Christian Bar. - New York :Cambridge University Press,2010. - xii, 317 p. :ill. ;26 cm.

Includes bibliographical references (p. 311-312) and index.

Machine 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.

"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.

ISBN: 9780521721493 (pbk.) :US48.00

LCCN: 2010001343Subjects--Topical Terms:

702144
Geometry, Differential

LC Class. No.: QA641 / .B325 2010

Dewey Class. No.: 516.3/6

Elementary differential geometry /
LDR:02275cam 2200265 a 4500 001 975155
003 DLC
005 20101008140912.0
008 111017s2010 nyua b 001 0 eng
010 $a 2010001343
020 $a 9780521721493 (pbk.) : $c US48.00
020 $a 0521721490 (pbk.)
020 $a 9780521896719 (hardback)
020 $a 0521896711 (hardback)
035 $a (OCoLC)ocn502674109
035 $a AS-BW-100-N-01
040 $a DLC $c DLC $d YDXCP $d BWKUK $d BWK $d BWX $d CDX $d DLC
050 0 0 $a QA641 $b .B325 2010
082 0 0 $a 516.3/6 $2 22
100 1 $a Bar, Christian. $3 1084811
245 1 0 $a Elementary differential geometry / $c Christian Bar.
260 # $a New York : $b Cambridge University Press, $c 2010.
300 $a xii, 317 p. : $b ill. ; $c 26 cm.
504 $a Includes bibliographical references (p. 311-312) and index.
505 8 # $a Machine 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.
520 # $a "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.
650 # 0 $a Geometry, Differential $3 702144
856 4 2 $3 Cover image $u http://assets.cambridge.org/97805218/96719/cover/9780521896719.jpg