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Multivariable calculus with applications / by Peter D. Lax, Maria Shea Terrell.

By: Lax, Peter D [author.]Contributor(s): Terrell, Maria Shea [author.]Material type: Text

TextSeries: Undergraduate Texts in MathematicsPublisher: Cham, Switzerland : Springer International Publishing : Imprint: Springer, 2017Edition: 1st ed. 2017Description: viii, 483 pages ; 231 illustrations, 24 cmISBN: 9783319740737Subject(s): Analysis (Mathematics) | Applied mathematics | Engineering mathematics | Mathematical analysis | Analysis | Applications of MathematicsAdditional physical formats: Print version:: Multivariable calculus with applications.; Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification: 515 LOC classification: QA 303 L39 2017 CIRC

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.

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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Holdings
Item type	Home library	Call number	Status	Date due	Barcode
Books	MMSU Main Library	QA 303 L39 2017 CIRC (Browse shelf(Opens below))	Available		37199

Includes 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.

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