Une pure merveille !
Un roman d'une grande beauté, drôle, fin, extrêmement lumineux sur des sujets difficiles : la perte de
l'être aimé, la dureté de la vie et la tristesse qu'on barricade parfois... Elise franco-japonaise,
orpheline de sa maman veut poser LA question à son père et elle en trouvera le courage au fil des pages,
grâce au retour de sa grand-mère du japon, de sa rencontre avec son extravagante amie Stella..
Ensemble il ne diront plus Sayonara mais Mata Ne !
This book is intended to provide a working knowledge of those parts of exterior differential forms, differential geometry, algebraic and differential...
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Résumé
This book is intended to provide a working knowledge of those parts of exterior differential forms, differential geometry, algebraic and differential topology, Lie groups, vector bundles, and Chern forms that are essential for a deeper understanding of both classical and modem physics and engineering. Included are discussions of analytical and fluid dynamics, electromagnetism (in flat and curved space), thermodynamics, elasticity theory, the geometry and topology of Kirchhoff 's electric circuit laws, soap films, special and general relativity, the Dirac operator and spinors, and gauge fields including Yang-Mills, the Aharonov-Bohm effect, Berry phase, and instanton winding numbers. Before discussing abstract notions of differential geometry, geometric intuition is developed through a rather extensive introduction to the study of surfaces in ordinary space ; consequently, the book should be of interest also to mathematics students. This book will be useful to graduate and advanced undergraduate students of physics, engineering, and mathematics. It can be used as a course text or for self-study.
Sommaire
MANIFOLDS, TENSORS, AND EXTERIOR FORMS
Manifolds and Vector Fields
Tensors and Exterior Forms
Integration of Differential Forms
The Lie Derivative
The Poincaré Lemma and Potentials
Holonomic and Nonholonomic Constraints
GEOMETRY AND TOPOLOGY
R3 and Minkowski Space
The Geometry of Surfaces in R3
Covariant Differentiation and Curvature
Geodesics
Relativity, Tensors, and Curvature
Curvature and Topology : Synge's Theorem
Betti Numbers and De Rham's Theorem
Harmonic Forms
LIE GROUPS, BUNDLES, AND CHERN FORMS
Lie Groups
Vector Bundles in Geometry and Physics
Fiber Bundles, Gauss-Bonnet, and Topological Quantization