Format:
Online-Ressource (VIII, 483 p. 231 illus., 1 illus. in color, online resource)
ISBN:
9783319740737
Series Statement:
Undergraduate Texts in Mathematics
Content:
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
Content:
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
Additional Edition:
ISBN 9783319740720
Additional Edition:
Erscheint auch als Druck-Ausgabe Lax, Peter D., 1926 - Multivariable calculus with applications Cham : Springer International Publishing, 2017 ISBN 9783319740720
Language:
English
Subjects:
Mathematics
Keywords:
Kontrolltheorie
;
Lehrbuch
DOI:
10.1007/978-3-319-74073-7
URL:
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