From ordinary to partial differential equations

• 作者： Esposito, Giampiero, author.
• 其他作者：
  • SpringerLink (Online service)
• 其他題名：
  • UNITEXT ;
• 出版： Cham : Springer International Publishing :Imprint: Springer
• 叢書名： UNITEXT,volume 106
• 主題： Differential equations. , Differential equations, Partial. , Mathematics. , Partial Differential Equations. , Ordinary Differential Equations. , Difference and Functional Equations. , Fourier Analysis.
• ISBN： 9783319575445 (electronic bk.) 、 9783319575438 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: 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.
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• 摘要註: This book is addressed to mathematics and physics students who want to develop an interdisciplinary view of mathematics, from the age of Riemann, Poincare 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.
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