000			02411nam a22003977a 4500
003			OSt
005			20240626113358.0
008			240625b |||||||| |||| 00| 0 hin d
020			_a9783319740720
040			_aNISER LIBRARY _beng _cNISER LIBRARY
041			_aEnglish
082			_a517.3 _bLAX-M
100			_aLax, Peter D.
245			_aMultivariable calculus with applications
260			_aSwitzerland : _bSpringer, _c2017.
300			_aviii, 483p. : _b231 illustrations, 1 illustrations in color.
490			_aUndergraduate texts in mathematics _x0172-6056
520			_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.
650			_aAnalysis (Mathematics).
650			_aApplied mathematics.
650			_aEngineering mathematics.
650			_aMathematical analysis.
650			_aMultivariable Calculus textbook.
650			_aVectors and matrices
650			_aInverse functions
650			_aDifferentiable functions
650			_aDivergence Theorem
650			_a Vector Calculus
650			_aCalculus III
650			_aVector Analysis
650			_aPartial differential equations
700			_aTerrell, Maria Shea.
856			_3Table of Contents _uhttps://link.springer.com/content/pdf/bfm:978-3-319-74073-7/1
856			_3Reviews _uhttps://www.goodreads.com/book/show/44578421-multivariable-calculus-with-applications?ref=nav_sb_ss_1_13#CommunityReviews
942			_cN _2udc
999			_c35075 _d35075