Multivariable Calculus with Applications

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Sprache: Englisch

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Beschreibung

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.

Über den Autor

Peter D. Lax is currently an Emeritus Professor of Mathematics at the Courant Institute of Mathematical Sciences.

Maria Shea Terrell is currently a retired Senior Lecturer in Mathematics at Cornell University.

Zusammenfassung

Describes theoretical as well as practical aspects of multivariable calculus

Correlates concepts and results of multivariable calculus with their counterparts in one-variable calculus

Presents a wealth of problems varying degrees of difficulty

Includes supplementary material: [...]

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2018
Fachbereich:	Analysis
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Reihe:	Undergraduate Texts in Mathematics
Inhalt:	viii 483 S. 230 s/w Illustr. 1 farbige Illustr. 483 p. 231 illus. 1 illus. in color.
ISBN-13:	9783319740720
ISBN-10:	3319740725
Sprache:	Englisch
Herstellernummer:	978-3-319-74072-0
Einband:	Gebunden
Autor:	Lax, Peter D. Terrell, Maria Shea
Hersteller:	Springer Birkhäuser Springer International Publishing AG Undergraduate Texts in Mathematics
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	241 x 160 x 32 mm
Von/Mit:	Peter D. Lax (u. a.)
Erscheinungsdatum:	27.03.2018
Gewicht:	0,898 kg