Differential geometry and its applications
著者
書誌事項
Differential geometry and its applications
（Classroom resource materials, v. 59）
MAA Press, an imprint of the American Mathematical Society, 2019, c2007
2nd ed
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注記
"Originally published by the Mathematical Association of America, 2007." -- Added t.p. verso
"Reprinted by the American Mathematical Society , 2019" -- Added t.p. verso
"This book was previously published by Pearson Education, Inc." -- Added t.p. verso
Includes bibliographical references (p. 455-459) and index
内容説明・目次
内容説明
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 equations, complex variables, the calculus of variations, and notions from the sciences. That mix of ideas offers students the opportunity to visualize concepts through the use of computer algebra systems such as Maple.
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 depend on calculation to proofs that are quite abstract.
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