ENGLISH

From Ordinary to Partial Differential Equations

By Giampiero Esposito (auth.)

Book information

Publisher
Springer International Publishing
Year
2017
ISBN
978-3-319-57543-8, 978-3-319-57544-5
DOI
10.1007/978-3-319-57544-5
Language
english
Format
PDF
Filesize
5 MB (5020897 bytes)
Series
UNITEXT 106
Edition
1
Pages
XXI, 432\428
Time added
2017-06-25 01:09:08
Partial Differential Equations;Ordinary Differenti

Description

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.

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