TY - BOOK AU - Esposito,Giampiero ED - SpringerLink (Online service) TI - From Ordinary to Partial Differential Equations T2 - La Matematica per il 3+2, SN - 9783319575445 AV - QA370-380 U1 - 515.353 23 PY - 2017/// CY - Cham PB - Springer International Publishing, Imprint: Springer KW - Partial differential equations KW - Differential equations KW - Difference equations KW - Functional equations KW - Fourier analysis KW - Partial Differential Equations KW - Ordinary Differential Equations KW - Difference and Functional Equations KW - Fourier Analysis N1 - 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; Available to subscribing member institutions only. Доступно лише організаціям членам підписки N2 - 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 UR - https://doi.org/10.1007/978-3-319-57544-5 ER -