Multivariable calculus with applications Peter D. Lax, Maria Shea Terrell.
2017
QA278
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Details
Title
Multivariable calculus with applications Peter D. Lax, Maria Shea Terrell.
Author
Lax, Peter D., author.
ISBN
9783319740737 (electronic book)
3319740733 (electronic book)
9783319740720
3319740733 (electronic book)
9783319740720
Published
Cham : Springer, 2017.
Language
English
Description
1 online resource (viii, 483 pages) : illustrations.
Item Number
10.1007/978-3-319-74073-7 doi
Call Number
QA278
Dewey Decimal Classification
519.5/35
Summary
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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Digital File Characteristics
text file PDF
Added Author
Terrell, Maria Shea, author.
Series
Undergraduate texts in mathematics.
Available in Other Form
Print version: 9783319740720
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Table of Contents
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. .
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. .