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＜電子ブック＞
Multivariable Calculus with Applications / by Peter D. Lax, Maria Shea Terrell
(Undergraduate Texts in Mathematics. ISSN:21975604)

版	1st ed. 2017.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2017
本文言語	英語
大きさ	VIII, 483 p. 231 illus., 1 illus. in color : online resource
著者標目	*Lax, Peter D author Terrell, Maria Shea author SpringerLink (Online service)
件　名	LCSH:Mathematical analysis LCSH:Mathematics FREE:Analysis FREE:Applications of Mathematics
一般注記	1. Vectors and matrices -- 2. Functions -- 3. Differentiation -- 4. More about differentiation -- 5. Applications to motion -- 6. Integration -- 7. Line and surface integrals -- 8. Divergence and Stokes’ Theorems and conservation laws -- 9. Partial differential equations -- Answers to selected problems -- Index. This text in multivariable calculus fosters comprehension through meaningful explanations. Written with students in mathematics, the physical sciences, and engineering in mind, it extends concepts from single variable calculus such as derivative, integral, and important theorems to partial derivatives, multiple integrals, Stokes’ and divergence theorems. Students with a background in single variable calculus are guided through a variety of problem solving techniques and practice problems. Examples from the physical sciences are utilized to highlight the essential relationship between calculus and modern science. The symbiotic relationship between science and mathematics is shown by deriving and discussing several conservation laws, and vector calculus is utilized to describe a number of physical theories via partial differential equations. Students will learn that mathematics is the language that enables scientific ideas to be precisely formulated and that science is a source for the development of mathematics HTTP:URL=https://doi.org/10.1007/978-3-319-74073-7

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