Mathematical Physics

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Beyond Quantum

1st Edition

Andrei Khrennikov
April 10, 2014

The present wave of interest in quantum foundations is caused by the tremendous development of quantum information science and its applications to quantum computing and quantum communication. It has become clear that some of the difficulties encountered in realizations of quantum information...

A Course in Mathematical Methods for Physicists

1st Edition

Russell L. Herman
December 04, 2013

Based on the author’s junior-level undergraduate course, this introductory textbook is designed for a course in mathematical physics. Focusing on the physics of oscillations and waves, A Course in Mathematical Methods for Physicists helps students understand the mathematical techniques needed for...

Mathematical Optics: Classical, Quantum, and Computational Methods

1st Edition

Vasudevan Lakshminarayanan, María L. Calvo, Tatiana Alieva
December 14, 2012

Going beyond standard introductory texts, Mathematical Optics: Classical, Quantum, and Computational Methods brings together many new mathematical techniques from optical science and engineering research. Profusely illustrated, the book makes the material accessible to students and newcomers to the...

A Unified Grand Tour of Theoretical Physics

3rd Edition

Ian D. Lawrie
November 27, 2012

A Unified Grand Tour of Theoretical Physics invites its readers to a guided exploration of the theoretical ideas that shape our contemporary understanding of the physical world at the fundamental level. Its central themes, comprising space-time geometry and the general relativistic account of...

A Level of Martin-Lof Randomness

1st Edition

Bradley S. Tice
October 09, 2012

This work addresses the notion of compression ratios greater than what has been known for random sequential strings in binary and larger radix-based systems as applied to those traditionally found in Kolmogorov complexity. A culmination of the author’s decade-long research that began with his...

The Geometry of Special Relativity

1st Edition

Tevian Dray
July 02, 2012

The Geometry of Special Relativity provides an introduction to special relativity that encourages readers to see beyond the formulas to the deeper geometric structure. The text treats the geometry of hyperbolas as the key to understanding special relativity. This approach replaces the ubiquitous γ...

Applied Bohmian Mechanics: From Nanoscale Systems to Cosmology

1st Edition

Xavier Oriols Pladevall, Jordi Mompart
June 04, 2012

Most textbooks explain quantum mechanics as a story where each step follows naturally from the one preceding it. However, the development of quantum mechanics was exactly the opposite. It was a zigzagging route full of personal disputes where scientists were forced to abandon well-established...

Self-Field Theory: A New Mathematical Description of Physics

1st Edition

Tony Fleming
December 20, 2011

This is the first text to be written on the topic of Self-Field Theory (SFT), a new mathematical description of physics distinct from quantum field theory, the physical theory of choice by physicists at the present time. SFT is a recent development that has evolved from the classical...

Goedel's Way: Exploits into an undecidable world

1st Edition

Gregory Chaitin, Francisco A Doria, Newton C.A. da Costa
October 14, 2011

Kurt Gödel (1906-1978) was an Austrian-American mathematician, who is best known for his incompleteness theorems. He was the greatest mathematical logician of the 20th century, with his contributions extending to Einstein’s general relativity, as he proved that Einstein’s theory allows for time...

Molecular Modeling Basics

1st Edition

Jan H. Jensen
April 26, 2010

Molecular modeling is becoming an increasingly important part of chemical research and education as computers become faster and programs become easier to use. The results, however, have not become easier to understand. Addressing the need for a "workshop-oriented" book, Molecular Modeling Basics...

Group Theory for the Standard Model of Particle Physics and Beyond

1st Edition

Ken J. Barnes
March 10, 2010

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...

Discrete Mathematics: Proofs, Structures and Applications, Third Edition

3rd Edition

Rowan Garnier, John Taylor
November 09, 2009

Taking an approach to the subject that is suitable for a broad readership, Discrete Mathematics: Proofs, Structures, and Applications, Third Edition provides a rigorous yet accessible exposition of discrete mathematics, including the core mathematical foundation of computer science. The approach is...