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From Ordinary to Partial Differential Equations / by Giampiero Esposito.
Springer Nature - Springer Mathematics and Statistics eBooks 2017 English International Available online
View online- Format:
- Book
- Author/Creator:
- Esposito, Giampiero., Author.
- Series:
- La Matematica per il 3+2, 2038-5722 ; 106
- Language:
- English
- Subjects (All):
- Differential equations, Partial.
- Differential equations.
- Difference equations.
- Functional equations.
- Fourier analysis.
- Partial Differential Equations.
- Ordinary Differential Equations.
- Difference and Functional Equations.
- Fourier Analysis.
- Local Subjects:
- Partial Differential Equations.
- Ordinary Differential Equations.
- Difference and Functional Equations.
- Fourier Analysis.
- Physical Description:
- 1 online resource (XXI, 432 p. 2 illus.)
- Edition:
- 1st ed. 2017.
- Place of Publication:
- Cham : Springer International Publishing : Imprint: Springer, 2017.
- Summary:
- 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.
- 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.
- Notes:
- Description based on publisher supplied metadata and other sources.
- ISBN:
- 3-319-57544-9
- OCLC:
- 992168794
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