01746nam a22002297a 450000500170000002000180001704000310003508200150006610000210008124501100010226000560021230000280026844000300029650400200032652010310034654600090137765000280138665000250141465000290143965000270146870000210149520251001115702.0  a9780471526384  aMCCCLbeng.eAACR2ed. rev.04a515.22 SHI1 aShifrin,Theodore10aMultivariable Mathematics /cby Theodore Shifrin.bLinear Algebra, Multivariable Calculus, and Manifolds.  aUnited State of America;bJohn Wiley & Sons,c2005.  axi,491p.:bill,;c24cm.  aMultivariable Mathematics  aincludes index.  aThis 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.  aeng. 0aAnalysis (Mathematics). 0aApplied mathematics. 0aEngineering mathematics. 0aMathematical analysis.1 aShifrin Theodore