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Introduction To Geometrical Physics, An (Se eBook

Original price was: $261.00.Current price is: $156.00.

Author(s): Aldrovandi Ruben; Pereira Jose Geraldo
Publisher: World Scientific
Print ISBN: 9789813146808, 981314680X
eText ISBN: 9789813146822, 9813146826

eText ISBN: 9789813146822 SKU: 9789813146822 Category: Trending 2022 Tags: mathematics, Topology Print ISBN: 9789813146808

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This book focuses on the unifying power of the geometrical language in bringing together concepts from many different areas of physics, ranging from classical physics to the theories describing the four fundamental interactions of Nature — gravitational, electromagnetic, strong nuclear, and weak nuclear.

The book provides in a single volume a thorough introduction to topology and differential geometry, as well as many applications to both mathematical and physical problems. It is aimed as an elementary text and is intended for first year graduate students.

In addition to the traditional contents of books on special and general relativities, this book discusses also some recent advances such as de Sitter invariant special relativity, teleparallel gravity and their implications in cosmology for those wishing to reach a higher level of understanding.

Contents:

Manifolds:

General Topology

Homology

Homotopy

Manifolds and Charts

Differentiable Manifolds

Differentiable Structure:

Tangent Structure

Differential Forms

Symmetries

Fiber Bundles

Nature’s Extreme Geometries:

Quantum Geometry

Cosmology: the Standard Model

Planck Scale Kinematics

Mathematical Topics:

The Basic Algebraic Structures

Discrete Groups: Braids and Knots

Sets and Measures

Topological Linear Spaces

Banach Algebras

Representations

Variations and Functionals

Functional Forms

Singular Points

Euclidian Spaces and Subspaces

Non-Euclidian Geometries

Geodesics

Physical Topics:

Hamiltonian Mechanics

More Mechanics

Symmetries in Phase Space

Statistics and Elasticity

Propagation of Discontinuities

Geometrical Optics

Classical Relativistic Fields

Gauge Fields: Fundamentals

More Gauge Fields: Wu-Yang Copies

General Relativity

Teleparallel Gravity

Einstein–Cartan Theory

de Sitter Invariant Special Relativity

raduate students and researchers.

This is a digital product.

Introduction To Geometrical Physics, An (Second Edition) 2nd Edition is written by Aldrovandi Ruben; Pereira Jose Geraldo and published by World Scientific. The Digital and eTextbook ISBNs for Introduction To Geometrical Physics, An (Second Edition) are 9789813146822, 9813146826 and the print ISBNs are 9789813146808, 981314680X.