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＜電子ブック＞
From Ordinary to Partial Differential Equations / by Giampiero Esposito
(La Matematica per il 3+2. ISSN:20385757 ; 106)

版	1st ed. 2017.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2017
大きさ	XXI, 432 p. 2 illus : online resource
著者標目	*Esposito, Giampiero author SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:Difference equations LCSH:Functional equations LCSH:Fourier analysis FREE:Differential Equations FREE:Difference and Functional Equations FREE:Fourier Analysis
一般注記	1 Ordinary differential equations -- 2 Linear elliptic equations -- 3 Calculus of variations -- 4 Linear and non-linear hyperbolic equations -- 5 Parabolic equations -- 6 Fuchsian functions -- 7 The Riemann –function -- 8 A window on modern theory -- 9 References This book is addressed to mathematics and physics students who want to develop an interdisciplinary view of mathematics, from the age of Riemann, Poincaré and Darboux to basic tools of modern mathematics. It enables them to acquire the sensibility necessary for the formulation and solution of difficult problems, with an emphasis on concepts, rigour and creativity. It consists of eight self-contained parts: ordinary differential equations; linear elliptic equations; calculus of variations; linear and non-linear hyperbolic equations; parabolic equations; Fuchsian functions and non-linear equations; the functional equations of number theory; pseudo-differential operators and pseudo-differential equations. The author leads readers through the original papers and introduces new concepts, with a selection of topics and examples that are of high pedagogical value HTTP:URL=https://doi.org/10.1007/978-3-319-57544-5

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