Multivariable Calculus with Applications

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Applied
Cover of the book Multivariable Calculus with Applications by Peter D. Lax, Maria Shea Terrell, Springer International Publishing
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Author: Peter D. Lax, Maria Shea Terrell ISBN: 9783319740737
Publisher: Springer International Publishing Publication: March 12, 2018
Imprint: Springer Language: English
Author: Peter D. Lax, Maria Shea Terrell
ISBN: 9783319740737
Publisher: Springer International Publishing
Publication: March 12, 2018
Imprint: Springer
Language: English

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. 

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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. 

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