001467628 000__ 04822cam\\2200673\i\4500 001467628 001__ 1467628 001467628 003__ OCoLC 001467628 005__ 20230707003332.0 001467628 006__ m\\\\\o\\d\\\\\\\\ 001467628 007__ cr\cn\nnnunnun 001467628 008__ 140711s1994\\\\maua\\\\ob\\\\001\0\eng\d 001467628 020__ $$a9781461202714$$q(electronic bk.) 001467628 020__ $$a146120271X$$q(electronic bk.) 001467628 020__ $$z0817637079 001467628 020__ $$z9780817637071 001467628 020__ $$z3764337079 001467628 020__ $$z9783764337070 001467628 0247_ $$a10.1007/978-1-4612-0271-4$$2doi 001467628 035__ $$aSP(OCoLC)883392264 001467628 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dYDXCP$$dOCLCQ$$dUAB$$dCOO$$dOCLCQ$$dU3W$$dWYU$$dOCLCQ$$dUKAHL$$dYDX$$dOCLCO$$dOCLCQ$$dOCLCO$$dOCLCQ$$dOCL 001467628 049__ $$aISEA 001467628 050_4 $$aQA303$$b.E24 1994eb 001467628 08204 $$a515$$222 001467628 1001_ $$aEdwards, Harold M. 001467628 24510 $$aAdvanced calculus :$$ba differential forms approach /$$cHarold M. Edwards. 001467628 250__ $$aThird edition]. 001467628 264_1 $$aBoston :$$bBirkhäuser,$$c1994. 001467628 300__ $$a1 online resource (xv, 508 pages) :$$billustrations 001467628 336__ $$atext$$btxt$$2rdacontent 001467628 337__ $$acomputer$$bc$$2rdamedia 001467628 338__ $$aonline resource$$bcr$$2rdacarrier 001467628 500__ $$aOriginally published: Boston : Houghton Mifflin, ©1969. 001467628 500__ $$aIncludes index. 001467628 50500 $$gch. 1$$tConstant forms --$$g1.1$$tOne-forms --$$g1.2$$tTwo-forms --$$g1.3$$tThe Evaluation of the two-forms, pullbacks --$$g1.4$$tThree-forms --$$g1.5$$tSummary --$$gch. 2$$tIntegrals$$g2.1$$tNon-constant forms --$$g2.2$$tIntegration --$$g2.3$$tDefinition of certain simple integrals, convergence and the cauchy criterion --$$g2.4$$tIntegrals and pullbacks --$$g2.5$$tIndependence --$$g2.6 Summary,$$tBasic properties of integrals$$gch. 3$$tIntegration and differentiation --$$g3.1$$tThe Fundamental theorum of calculus --$$g3.2$$tThe Fundamental theorum of two dimensions --$$g3.3$$tThe Fundamental theorum of three dimensions --$$g3.4 Summary,$$tStokes theorum --$$gch. 4$$tLinear algebra --$$g4.1 Introduction --$$g4.2$$tConstant k-form on n-space --$$g4.3$$tMatrix notation, Jacobians --$$g4.4$$tThe Implicit function theorem for Affine maps --$$g4.5$$tAbstract vector spaces --$$g4.6 Summary,$$tAffine manifolds --$$gch. 5$$tDifferential calculus --$$g5.1$$tThe Implicit function theorem for differentiable maps --$$g5.2$$tk-forms on n-space. Differentiable maps --$$g5.3$$tProofs --$$g5.4$$tApplication: Lagrange multipliers --$$g5.5 Summary,$$tDifferentiable manifolds$$gch. 6$$tIntegral calculus--$$g6.1$$tSummary --$$g6.2$$tk-dimensional volume --$$g6.3$$tIndependence of parameter and the definiton of sine --$$g6.4$$tManifolds-with-boundary and Stokes' theorem --$$g6.5$$tGeneral properties of integrals --$$g6.6$$tIntegrals as functions of S$$gch. 7$$tPractical methods of solution --$$g7.1$$tSuccessive approximation --$$g7.2$$tSolution of linear equations --$$g7.3$$tNewton's method --$$g7.4$$tSolution of ordinary differntial equations --$$g7.5$$tThree global problems --$$gch. 8$$tApplications --$$g8.1$$tVector calculus --$$g8.2$$tElementary differential equations--$$g8.3$$tHarmonic functions and conformal coordinates --$$g8.4$$tFunctions of a complex variable --$$g8.5$$tIntegrability conditions --$$g8.6$$tIntroduction to homology theory--$$g8.7$$tFlows--$$g8.8$$tApplications of mathematical physics --$$gch. 9$$tFurther study of limits --$$g9.1$$tThe Real number system --$$g9.2$$tReal functions of real variables --$$g9.3$$tUniform continuity and differentiability --$$g9.4$$tCompactness --$$g9.5$$tOther types of limits --$$g9.6$$tInterchange of limits --$$g9.7$$tLebesgue integration --$$g9.8$$tBanach spaces. 001467628 506__ $$aAccess limited to authorized users. 001467628 588__ $$aDescription based on print version record. 001467628 650_0 $$aCalculus. 001467628 650_0 $$aDifferential forms. 001467628 650_0 $$aCalculus$$vProblems, exercises, etc. 001467628 650_6 $$aCalcul infinitésimal. 001467628 650_6 $$aFormes différentielles. 001467628 650_6 $$aCalcul infinitésimal$$vProblèmes et exercices. 001467628 655_7 $$aProblems and exercises.$$2fast$$0(OCoLC)fst01423783 001467628 655_0 $$aElectronic books. 001467628 77608 $$iPrint version:$$aEdwards, Harold M.$$tAdvanced calculus.$$bThird edition]$$z0817637079$$w(DLC) 93020657$$w(OCoLC)28255819 001467628 852__ $$bebk 001467628 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-0-8176-8412-9$$zOnline Access$$91397441.1 001467628 909CO $$ooai:library.usi.edu:1467628$$pGLOBAL_SET 001467628 980__ $$aBIB 001467628 980__ $$aEBOOK 001467628 982__ $$aEbook 001467628 983__ $$aOnline 001467628 994__ $$a92$$bISE