Mathematicaによる多変量微積分（テキスト） Multivariable Calculus with Mathematica

Gilbert, Robert P./ Shoushani, Michael/ Ou, Yvonne

CRC Press（2020/11発売）

• 製本 Hardcover:ハードカバー版／ページ数 418 p.
• 言語 ENG
• 商品コード 9781138062689
• DDC分類 515

Full Description

Multivariable Calculus with Mathematica is a textbook addressing the calculus of several variables. Instead of just using Mathematica to directly solve problems, the students are encouraged to learn the syntax and to write their own code to solve problems. This not only encourages scientific computing skills but at the same time stresses the complete understanding of the mathematics. Questions are provided at the end of the chapters to test the student's theoretical understanding of the mathematics, and there are also computer algebra questions which test the student's ability to apply their knowledge in non-trivial ways.

Features

Ensures that students are not just using the package to directly solve problems, but learning the syntax to write their own code to solve problems
Suitable as a main textbook for a Calculus III course, and as a supplementary text for topics scientific computing, engineering, and mathematical physics
Written in a style that engages the students' interest and encourages the understanding of the mathematical ideas

Contents

1. Vectors in Rᶟ. 2. Some Elementary Curves and Surfaces in Rᶟ. 3. Functions of Several Variables. 4. Directional Derivatives and Extremum Problems. 5. Multiple Integrals. 6. Vector Calculus. 7. Elements of Tenor Analysis. 8. Partial Differential Equations.