TY - BOOK AU - Shifrin,Theodore AU - Shifrin Theodore TI - Multivariable Mathematics: Linear Algebra, Multivariable Calculus, and Manifolds SN - 9780471526384 U1 - 515.22 SHI PY - 2005/// CY - United State of America PB - John Wiley & Sons KW - Analysis (Mathematics) KW - Applied mathematics KW - Engineering mathematics KW - Mathematical analysis N1 - includes index N2 - 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 ER -