Methods of mathematical physics. Vol. 1 / Richard Courant ; David Hilbert (1989)
Methods of mathematical physics. Vol. 1 [texte imprimé] / Richard Courant (1888-1972), Auteur ; David Hilbert, Auteur . - New York : John Wiley & Sons, 1989 . - XV-560 p. ; 24 cm. - (Wiley classics library) .
ISBN : 978-0-471-50447-4
Trad. de : "Methoden der mathematischen Physik. I". Annexes : Bibliogr. p. [546]-549. Index
Langues : Anglais (eng)
Mots-clés : Analyse mathématique
Physique mathématique
Mathematical physics
Mathematics
PhysicsIndex. décimale : 51 Mathématiques Résumé : The objective of the book can still today be expressed almost as in the preface to the first German edition. Since the seventeenth century, physical intuition has served as a vital source for mathematical problems and methods. Recent trends and fashions have, however, weakened the connection between mathematics and physics; mathematicians, turning away from the roots of mathematics in intuition, have concentrated on refinement and emphasized the postulational side of mathematics, and a times have overlooked the unity of their science with physics and other field. Note de contenu : Au sommaire :
- The algebra of linear transformations and quadratic forms
- Series expansions of arbitrary functions
- Linear integral equations
- The calculus of variations
- Vibration and eigenvalue problems
- Application of the calculus of variations to eigenvalue problems
- Special functions defined by eigenvalue problems