Differential Manifolds: A Basic Approach For Experimental Physicists
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A01=Paul Baillon
Author_Paul Baillon
Basic Mathematics
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Cardinal
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Complex
Derivative
Differential Equations
Differential Manifold
Electro-Weak Interactions
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Formal Logic
General Relativity
Groups
Integer
Maps
Modules
Numbers: Real
Oriented Integral
Parallel Transport
Partial Derivatives
Polynomial
Product and Sum of Cardinals
Rational
Recurrence Principle
Riemann and Lebesgue Integrals
Sequence
Set
Taylor Expansion
Tensor Fields
Tensors
Topology
Trigonometry
Union/Intersection/Product of Sets over a Set of Indexes
UnionIntersectionProduct of Sets over a Set of Indexes
Vector Fields
Vectors
Volume Form
Wedge Product
Zermolo Theorem
Product details
- ISBN 9789814449564
- Publication Date: 06 Dec 2013
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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Differential Manifold is the framework of particle physics and astrophysics nowadays. It is important for all research physicists to be well accustomed to it and even experimental physicists should be able to manipulate equations and expressions in that framework.This book gives a comprehensive description of the basics of differential manifold with a full proof of any element. A large part of the book is devoted to the basic mathematical concepts in which all necessary for the development of the differential manifold is expounded and fully proved.This book is self-consistent: it starts from first principles. The mathematical framework is the set theory with its axioms and its formal logic. No special knowledge is needed.
