Mathematical Physics category: 1075 books

Cover of Quantum Theory, Groups and Representations
by Peter Woit
Language: English
Release Date: November 1, 2017

This text systematically presents the basics of quantum mechanics, emphasizing the role of Lie groups, Lie algebras, and their unitary representations. The mathematical structure of the subject is brought to the fore, intentionally avoiding significant overlap with material from standard physics courses...
Cover of Concepts of Mathematical Physics in Chemistry: A Tribute to Frank E. Harris - Part B
by John R. Sabin, Remigio Cabrera-Trujillo
Language: English
Release Date: January 14, 2016

Concepts of Mathematical Physics in Chemistry: A Tribute to Frank E. Harris - Part B, presents a series of articles concerning important topics in quantum chemistry, including surveys of current topics in this rapidly-developing field that has emerged at the cross section of the historically established...
Cover of Lectures on Selected Topics in Mathematical Physics

Lectures on Selected Topics in Mathematical Physics

Introduction to Lie theory with applications

by William A. Schwalm
Language: English
Release Date: May 2, 2017

This book provides an introduction to Lie Theory for first year graduate students and professional physicists who may not have across the theory in their studies. In particular, it is a summary overview of the theory of finite groups, a brief description of a manifold, and then an informal development...
Cover of Mathematical Methods of Classical Physics
by Vicente Cortés, Alexander S. Haupt
Language: English
Release Date: April 26, 2017

This short primer, geared towards students with a strong interest in mathematically rigorous approaches, introduces the essentials of classical physics, briefly points out its place in the history of physics and its relation to modern physics, and explains what benefits can be gained from a mathematical...
Cover of Lectures on Selected Topics in Mathematical Physics

Lectures on Selected Topics in Mathematical Physics

Elliptic Functions and Elliptic Integrals

by William A. Schwalm
Language: English
Release Date: December 31, 2015

This volume is a basic introduction to certain aspects of elliptic functions and elliptic integrals. Primarily, the elliptic functions stand out as closed solutions to a class of physical and geometrical problems giving rise to nonlinear differential equations. While these nonlinear equations may...
Cover of Special Functions of Mathematical (Geo-)Physics
by Willi Freeden, Martin Gutting
Language: English
Release Date: February 15, 2013

Special functions enable us to formulate a scientific problem by reduction such that a new, more concrete problem can be attacked within a well-structured framework, usually in the context of differential equations. A good understanding of special functions provides the capacity to recognize the causality...
Cover of Distribution Theory

Distribution Theory

With Applications in Engineering and Physics

by Wilhelm W. Kecs, Antonela Toma, Petre Teodorescu
Language: English
Release Date: September 3, 2013

In this comprehensive monograph, the authors apply modern mathematical methods to the study of mechanical and physical phenomena or techniques in acoustics, optics, and electrostatics, where classical mathematical tools fail. They present a general method of approaching problems, pointing out...
Cover of Multi-Band Effective Mass Approximations

Multi-Band Effective Mass Approximations

Advanced Mathematical Models and Numerical Techniques

by
Language: English
Release Date: July 17, 2014

This book addresses several mathematical models from the most relevant class of kp-Schrödinger systems. Both mathematical models and state-of-the-art numerical methods for adequately solving the arising systems of differential equations are presented. The operational principle of modern semiconductor...
Cover of Mathematical Models of Viscous Friction
by Paolo Buttà, Guido Cavallaro, Carlo Marchioro
Language: English
Release Date: February 5, 2015

In this monograph we present a review of a number of recent results on the motion of a classical body immersed in an infinitely extended medium and subjected to the action of an external force. We investigate this topic in the framework of mathematical physics by focusing mainly on the class of purely...
Cover of Classical Mechanics

Classical Mechanics

Hamiltonian and Lagrangian Formalism

by Alexei Deriglazov
Language: English
Release Date: October 8, 2016

The revised edition of this advanced textbook provides the reader with a solid grounding in the formalism of classical mechanics, underlying a number of powerful mathematical methods that are widely used in modern theoretical and mathematical physics. It reviews the fundamentals of Lagrangian and...
Cover of Introduction to Hamiltonian Dynamical Systems and the N-Body Problem
by Kenneth R. Meyer, Daniel C. Offin
Language: English
Release Date: May 4, 2017

This third edition text provides expanded material on the restricted three body problem and celestial mechanics.  With each chapter containing new content, readers are provided with new material on reduction, orbifolds, and the regularization of the Kepler problem, all of which are provided with...
Cover of Classical Mechanics

Classical Mechanics

Hamiltonian and Lagrangian Formalism

by Alexei Deriglazov
Language: English
Release Date: August 28, 2010

Formalism of classical mechanics underlies a number of powerful mathematical methods that are widely used in theoretical and mathematical physics. This book considers the basics facts of Lagrangian and Hamiltonian mechanics, as well as related topics, such as canonical transformations, integral invariants,...
Cover of Introduction to General Relativity, Black Holes, and Cosmology
by Yvonne Choquet-Bruhat
Language: English
Release Date: November 20, 2014

General Relativity is a beautiful geometric theory, simple in its mathematical formulation but leading to numerous consequences with striking physical interpretations: gravitational waves, black holes, cosmological models, and so on. This introductory textbook is written for mathematics students interested...
Cover of Quantum Foundations, Probability and Information
by
Language: English
Release Date: June 13, 2018

Composed of contributions from leading experts in quantum foundations, this volume presents viewpoints on a number of complex problems through informational, probabilistic, and mathematical perspectives and features novel mathematical models of quantum and subquantum phenomena. Rich with multi-disciplinary...
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