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From Ordinary to Partial Differential Equations
ISBN-13:
9783319575445
Veröffentl:
2017
Seiten:
432
Autor:
Giampiero Esposito
Serie:
106, UNITEXT La Matematica per il 3+2
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
Beschreibung:
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.
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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