From Ordinary to Partial Differential Equations

• Main Author: Esposito, Giampiero (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Series: UNITEXT, 106
• Subjects: Mathematics.; Difference equations.; Functional equations.; Fourier analysis.; Differential equations.; Partial differential equations.; Partial Differential Equations.; Ordinary Differential Equations.; Difference and Functional Equations.; Fourier Analysis.

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 diffic...

Table of Contents:

• 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.