Multivariable Calculus with Applications
Material type: TextLanguage: English Series: Undergraduate Texts in MathematicsPublication details: Cham Springer 2017Description: viii, 483pISBN: 9783319740720 (PB)Subject(s): Applied Mathematics | Mathematical Analysis | Multivariate analysis | MathematicsSummary: 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.Current library | Home library | Call number | Materials specified | Status | Date due | Barcode |
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IMSc Library | IMSc Library | 517 LAX (Browse shelf (Opens below)) | Available | 78065 |
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517 LANG First course in calculus 5/e | 517 LANG Undergraduate analysis | 517 LANG First course in calculus | 517 LAX Multivariable Calculus with Applications | 517 LEV Polynomials, power series and calclulus | 517 LIEB Analysis | 517 LOO Advanced calculus |
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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