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Multivariable calculus with applications

Lax, Peter D.

Multivariable calculus with applications

Record Type:	Electronic resources : Monograph/item
Title/Author:	Multivariable calculus with applicationsby Peter D. Lax, Maria Shea Terrell.
Author:	Lax, Peter D.
other author:	Terrell, Maria Shea.
Published:	Cham :Springer International Publishing :2017.
Description:	viii, 483 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Multivariate analysis.
Online resource:	http://dx.doi.org/10.1007/978-3-319-74073-7
ISBN:	9783319740737$q(electronic bk.)

Multivariable calculus with applications
Lax, Peter D.

Multivariable calculus with applications[electronic resource] /by Peter D. Lax, Maria Shea Terrell. - Cham :Springer International Publishing :2017. - viii, 483 p. :ill. (some col.), digital ;24 cm. - Undergraduate texts in mathematics,0172-6056. - Undergraduate texts in mathematics..

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.

ISBN: 9783319740737$q(electronic bk.)

Standard No.: 10.1007/978-3-319-74073-7doiSubjects--Topical Terms:

181905
Multivariate analysis.

LC Class. No.: QA278

Dewey Class. No.: 519.535

Multivariable calculus with applications
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505 0 $a 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.
520 $a 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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