{"product_id":"mathematical-analysis-mariano-giaquinta-9780817645090","title":"Mathematical Analysis: An Introduction to Functions of Several Variables","description":"Preface.-Differential Calculus.-The differential calculus for scalar functions.-The differential calculus for vector-valued functions.-The theorems of the differential calculus.-Invertibility of map Rn to Rn.-Differential calculus in Banach spaces.-Exercises.-The Integral Calculus.-Lebesque's integral.-Convergence theorems.-Mollifiers and approximation.-Integral calculus.-Measure and area.-The Gauss-Green formula.-Exercises.-Curves and Differential Forms.-Differential forms, fields, and work.-Conservative fields, exact forms, and potentials.-closed forms and irrotational fields.-Stokes formula in the plane.-Exercises.-Holomorphic functions.-Functions from C to C.-The fundamental theorem of calculus in C.-The fundamental theorems about holomorphic functions.-Examples of holomorphic functions.-Pointwise singularities of holomorphic functions.-Residues.-Further consequences of Cauchy formulas.-Maximum principle.-Schwarz lemma-Local properties.-Biholomorphisms.-Riemann's theorem on conformal representations.-Harmonic functions and Riemann's theorem.-Exercises.-Surfaces and level sets.-Surfaces and immersions.-Implicit functions.-Some applications.-The curvature of curves and surfaces.-Exercises.-Systems of Ordinary Differential Equations.-Linear equations.-Stability.-The theorem of Poincaré-Bendixson.-Exercises.-Appendix A: Mathematicians and other scientists.-References.-Index\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Mariano Giaquinta, Giuseppe Modica\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0817645098\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780817645090\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Birkhauser\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 04\/14\/2009\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 348\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.51lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.81d","brand":"Mariano Giaquinta","offers":[{"title":"Hardcover","offer_id":44059862237439,"sku":"9780817645090","price":119.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_28d88cc0-5e8a-4788-99bb-8069ff6fe4c5.jpg?v=1685060754","url":"https:\/\/www.whiterainbookhouse.com\/products\/mathematical-analysis-mariano-giaquinta-9780817645090","provider":"WR Book House","version":"1.0","type":"link"}