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A Course in Mathematics for Students of Physics: Volume 2 - Couverture rigide

Bamberg, Paul; Sternberg, Shlomo

 
9780521332453: A Course in Mathematics for Students of Physics: Volume 2
Couverture rigide
ISBN 10 : 0521332451 ISBN 13 : 9780521332453
Editeur : Cambridge University Press, 1990

Synopsis

This textbook, available in two volumes, has been developed from a course taught at Harvard over the last decade. The course covers principally the theory and physical applications of linear algebra and of the calculus of several variables, particularly the exterior calculus. The authors adopt the 'spiral method' of teaching, covering the same topic several times at increasing levels of sophistication and range of application. Thus the reader develops a deep, intuitive understanding of the subject as a whole, and an appreciation of the natural progression of ideas. Topics covered include many items previously dealt with at a much more advanced level, such as algebraic topology (introduced via the analysis of electrical networks), exterior calculus, Lie derivatives, and star operators (which are applied to Maxwell's equations and optics). This then is a text which breaks new ground in presenting and applying sophisticated mathematics in an elementary setting. Any student, interpreted in the widest sense, with an interest in physics and mathematics, will gain from its study.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

This textbook, available in two volumes, has been developed from a course taught at Harvard over the last decade. The course covers principally the theory and physical applications of linear algebra and of the calculus of several variables, particularly the exterior calculus. The authors adopt the 'spiral method' of teaching, covering the same topic several times at increasing levels of sophistication and range of application. Thus the reader develops a deep, intuitive understanding of the subject as a whole, and an appreciation of the natural progression of ideas. Topics covered include many items previously dealt with at a much more advanced level, such as algebraic topology (introduced via the analysis of electrical networks), exterior calculus, Lie derivatives, and star operators (which are applied to Maxwell's equations and optics). This then is a text which breaks new ground in presenting and applying sophisticated mathematics in an elementary setting. Any student, interpreted in the widest sense, with an interest in physics and mathematics, will gain from its study.

Revue de presse

'... a very well readable and highly recommendable addition to the existing courses in mathematics for students of physics.' Zentralblatt für Mathematik und Ihre Grenzgebiete

'... there is to my knowledge no comparable book, and it is hard to imagine a more inspiring one.' The Times Higher Education Supplement

'... this book will serve as a fundamental text not only for students in physics, but also for students in mathematics interested in the most evident applications of mathematical definitions, results and theories.' Padiatre and Padalogie

'Not only is the mathematics clean, elegant, andmodern, but the presentation is humane, especially for a mathematics text. Examples are provided before generalisation, and motivation and applications are kept firmly in view ... This is first rate!' American Journal of Physics

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Cambridge University Press
Date d'édition
1990
Langue
anglais
ISBN 10 
0521332451
ISBN 13 
9780521332453
Reliure
Relié
Numéro d'édition
1
Nombre de pages
461
Coordonnées du fabricant
non disponible
Personne responsable
Avery
https://www.avery.fr/

chemin des peupliers 27
Dardilly
France

Autres éditions populaires du même titre

9780521406505: A Course in Mathematics for Students of Physics: Volume 2

Edition présentée

ISBN 10 :  0521406501 ISBN 13 :  9780521406505
Editeur : Cambridge University Press, 1991
Couverture souple