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A Mathematical Approach to Special Relativity introduces the mathematical formalisms of special and general relativity. Developed from the author's experience teaching physics to students across all levels, the valuable resource introduces key concepts, building in complexity and using increasingly advanced mathematical tools as it progresses. Without assuming a background in calculus, the text begins with symmetry, before delving more deeply into Galilean relativity. Throughout, the book provides examples and useful "Guides to the Literature." This unique text emphasizes the experimental consequences and verifications of the underpinning theory in order to provide students with a solid foundation in this key area. Based on the professor's 25+ years of experience teaching physics students at every level Covers key topics in special relativity, including some group theory, as well as an introduction to general relativity and basic differential geometry Contains numerous worked examples and "Guides to the Literature" throughout the text.

Mathematical physics. --- Physical mathematics --- Physics --- Mathematics --- Special relativity (Physics) --- Mathematics.

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Special relativity (Physics) --- Ether drift --- Mass energy relations --- Relativity theory, Special --- Restricted theory of relativity --- Special theory of relativity --- Relativity (Physics)

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The first volume of this two part series is concerned with the fundamental aspects of relativistic quantum theory, outlining the enormous progress made in the last twenty years in this field. The aim was to create a book such that researchers who become interested in this exciting new field find it useful as a textbook, and do not have to rely on a rather large number of specialized papers published in this area.·No title is currently available that deals with new developments in relativistic quantum electronic structure theory·Interesting and relevant to graduate students in chemi

Quantum chemistry. --- Electronic structure. --- Chimie quantique --- Structure électronique --- Relativistic quantum theory. --- Relativistic quantum mechanics --- Quantum theory --- Special relativity (Physics) --- Chemistry, Quantum --- Chemistry, Physical and theoretical --- Excited state chemistry --- Structure, Electronic --- Atomic structure --- Energy-band theory of solids

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Based on the author’s well-established courses, Group Theory for the Standard Model of Particle Physics and Beyond explores the use of symmetries through descriptions of the techniques of Lie groups and Lie algebras. The text develops the models, theoretical framework, and mathematical tools to understand these symmetries.

Group theory --- Quantum theory --- Particle range (Nuclear physics) --- Groupes, Théorie des --- Théorie quantique --- Particules (Physique nucléaire) --- Portée --- Group theory. --- Quantum theory. --- Théorie des groupes --- Théorie des groupes --- Théorie quantique --- Particules (Physique nucléaire) --- Portée --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Physics --- Mechanics --- Thermodynamics --- Groups, Theory of --- Substitutions (Mathematics) --- Algebra --- Internal Symmetries --- Quantum Angular Momentum --- Special Relativity And The Physical Particle States --- Symmetries And Conservation Laws --- Tensors And Tensor Operators