Multivariable Calculus with Applications. 1st ed. 2017

種類:

電子ブック

責任表示:

by Peter D. Lax, Maria Shea Terrell

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2017

著者名:

• Lax, Peter D.
• Terrell, Maria Shea.
• SpringerLink (Online service)

シリーズ名:

Undergraduate Texts in Mathematics ;

ISBN:

9783319740737 [3319740733]    

注記:

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 mathematic

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