Change and Variations
«“This book is a very good example of a text for a course in the history of mathematics. … the author provides for students and readers a historical overview of how mathematics, physics, celestial mechanics and difficult problems to tackle from differential equations as well as applications were intertwined, and the resulting dialogues between mathematicians, physicists and astronomers. This book is a successful attempt to fill in some of the gaps on the history of differential equations.” (Clara Silvia Roero, Mathematical Reviews, September, 2022)»
This book presents a history of differential equations, both ordinary and partial, as well as the calculus of variations, from the origins of the subjects to around 1900. Topics treated include the wave equation in the hands of d'Alembert and Euler; Fourier's solutions to the heat equation and the contribution of Kovalevskaya; the work of Euler, Gauss, Kummer, Riemann, and Poincare on the hypergeometric equation; Green's functions, the Dirichlet principle, and Schwarz's solution of the Dirichlet problem; minimal surfaces; the telegraphists' equation and Thomson's successful design of the trans-Atlantic cable; Riemann's paper on shock waves; the geometrical interpretation of mechanics; and aspects of the study of the calculus of variations from the problems of the catenary and the brachistochrone to attempts at a rigorous theory by Weierstrass, Kneser, and Hilbert. Les mer
Detaljer
- Forlag
- Springer Nature Switzerland AG
- Innbinding
- Paperback
- Språk
- Engelsk
- Sider
- 419
- ISBN
- 9783030705749
- Utgivelsesår
- 2021
- Format
- 24 x 16 cm
Anmeldelser
«“This book is a very good example of a text for a course in the history of mathematics. … the author provides for students and readers a historical overview of how mathematics, physics, celestial mechanics and difficult problems to tackle from differential equations as well as applications were intertwined, and the resulting dialogues between mathematicians, physicists and astronomers. This book is a successful attempt to fill in some of the gaps on the history of differential equations.” (Clara Silvia Roero, Mathematical Reviews, September, 2022)»