Mathematical physics Books

In the past ten years, there has been much progress in understanding the global dynamics of systems with several degrees-of-freedom. An important tool in these studies has been the theory of normally hyperbolic invariant...

This book offers an introduction to the key ideas, basic analysis, and efficient implementation of discontinuous Galerkin finite element methods (DG-FEM) for the solution of partial differential equations. It covers all key...

This book teaches how to use Mathematica to solve a wide variety of problems in mathematics and physics. It is based on the lecture notes of a course taught at the University of Illinois at Chicago to advanced undergrad and...

Perturbation theory and in particular normal form theory has shown strong growth in recent decades. This book is a drastic revision of the first edition of the averaging book. The updated chapters represent new insights in...

This textbook provides an introduction to the new science of nonlinear physics for advanced undergraduates, beginning graduate students, and researchers entering the field. The chapters, by pioneers and experts in the field,...

The Shaggy Steed is an unassuming figure from Irish folklore who reveals himself as an inspiring teacher of the forces hidden in the universe. This book celebrates an unassuming bit of physics that also turns out to be an...

Eine andere, eine neue, eine klassische Sicht auf den Gravitations- und ElektromechanismusVielfältige Fragestellungen zur Coulomb´schen Kraft und zum Newton´schen Gravitationsgesetz werden in diesem Bucht behandelt. Feldkräfte, Trägheit und die...

X-ray multiple-wave diffraction, sometimes called multiple diffraction or N-beam diffraction, results from the scattering of X-rays from periodic two­ or higher-dimensional structures, like 2-d and 3-d crystals and even quasi­...

This classic text provides an excellent introduction to a new and rapidly developing field of research. Now well established as a textbook in this rapidly developing field of research, the new edition is much enlarged and covers a host of new...

What is spectral action, how to compute it and what are the known examples? This book offers a guided tour through the mathematical habitat of noncommutative geometry à la Connes, deliberately unveiling the answers to these questions.After a brief...

Refection Positivity is a central theme at the crossroads of Lie group representations, euclidean and abstract harmonic analysis, constructive quantum field theory, and stochastic processes.This book provides the first presentation of the representation...

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...

This book is primarily concerned with the computational aspects of predictability of dynamical systems - in particular those where observation, modeling and computation are strongly interdependent. Unlike with physical systems under control in...

This book explores precisely how mathematics allows us to model and predict the behaviour of physical systems, to an amazing degree of accuracy. One of the oldest explanations for this is that, in some profound way, the structure of the world is...

This book offers a rigorous yet elementary approach to quantum mechanics that will meet the needs of Master's-level Mathematics students and is equally suitable for Physics students who are interested in gaining a deeper understanding of the mathematical...

This book is an introduction to maximum-entropy models of random graphs with given topological properties and their applications. Its original contribution is the reformulation of many seemingly different problems in the study of both real networks and...

In response to unanswered difficulties in the generalized case of conditional expectation and to treat the topic in a well-deservedly thorough manner, M.M. Rao gave us the highly successful first edition of Conditional Measures and Applications. Until...

We speak of consciousness, or awareness, or the I, or my inner being, or sentience. It may reach to the deeper metaphysical levels of the universe, but what is its relation to the material world? What is this relation from the perspective of science?...

Francis A. Tarleton provides a clear and comprehensive introduction to the mathematical theory of attraction in this pioneering work. Covering the theory of gravitational force and its broad applications in the natural sciences, this is a valuable read...

Philosophiae Naturalis Principia Mathematica, also known as the Principia, is one of the most important works in the history of science. Written by Sir Isaac Newton, it lays out the laws of motion and universal gravitation, and sets the stage for modern...

Written by ten leading experts in the field, Optical Computing cover topics such as optical bistability, optical interconnects and circuits, photorefractive devices, spatial light modulators, associative memory, and optical computer architectures.

Connectionist Speech Recognition: A Hybrid Approach describes the theory and implementation of a method to incorporate neural network approaches into state of the art continuous speech recognition systems based on hidden...

Neural Networks in Robotics is the first book to present an integrated view of both the application of artificial neural networks to robot control and the neuromuscular models from which robots were created. The behavior of...

An accessible, modern, self-contained and systematic overview to dimensional analysis for scientists and engineers. Explains how it can be applied practically to aid y a greater understanding of theoretical concepts, in designing experiments and...

Chaos Theory Tamed is written for scientists, mathematicians, economists, engineers, physiologists and others who wish to bring Chaos Theory into focus as something conceptually understandable and potentially applicable to their field. The book bridges...

This book is a different approach to teaching the foundations of mathematical analysis and of computation. The main idea is to delay the use of "formal definitions", which are definitions that nobody can understand without working with them. The approach...

The book has a twofold content and aim: on the one hand it offers a radical critique of the modern world, and on the other it seeks to expound a timeless wisdom. And the second end presupposes the first: for so long as we have not 'broken through the...

This book brings together prominent physicists and philosophers to explore the intersection of biology, physics, and metaphysics. P. Henderson Aitken, Quintin McLennan, and Thomas Logan delve into topics such as the nature of time, the relationship...

Dans ce deuxième volume des Principes mathématiques de la philosophie naturelle, l'auteur présente une série d'expériences et de preuves mathématiques en faveur de la théorie de la gravitation universelle de Newton. Cette édition critique inclut une...

Preface. Session 1: The Redshift. The Pair of X-Ray Sources Across NGC 4258, Its Relation to Intrinsic Redshifts, Ejection and Quantization; H. Arp. A Fresh Look at Discordant Redshift Galaxies in Compact Groups; J.W. Sulentic, J.B. Smith. Evidence ...

Preface. Theoretical Dynamics. Scattering by Resonances; A. Neishtadt. Non-Integrability in Hamiltonian Mechanics; S. Ichtiaroglou. Regular and Irregular Periodic Orbits; G. Contopoulos, E. Grousouzakou. Universal Properties of Escape in Dynamical...

Maximum entropy and Bayesian methods have fundamental, central roles in scientific inference, and, with the growing availability of computer power, are being successfully applied in an increasing number of applications in...

Physicists, when modelling physical systems with a large number of degrees of freedom, and statisticians, when performing data analysis, have developed their own concepts and methods for making the `best' inference. But are...

In recent years there has been a steadily increasing cross-fertilization between cosmology and particle physics, on both the theoretical and experimental levels. Particle physics has provided new experimental data from the...

Singularities in Fluids, Plasmas and Optics, which contains the proceedings of a NATO Workshop held in Heraklion, Greece, in July 1992, provides a survey of the state of the art in the analysis and computation of...

ZBIGNIEW OZIEWICZ University of Wroclaw, Poland December 1992 The First Max Born Symposium in Theoretical and Mathematical Phy­ sics, organized by the University of Wrodaw, was held in September 1991 with the intent that it...

Nano-science looks at nano-interfaces and nano-junctions, atomic and molecular manipulation of adsorbates, properties of self assembled films and quantum transport in nano-structures. Understanding of these phenomena at the...

Kinetic theory is the link between the non--equilibrium statistical mechanics of many particle systems and macroscopic or phenomenological physics. Therefore much attention is paid in this book both to the derivation of kinetic...

analyzing the experimental data and constructing math.ematical models of the processes under study, one has to rely rather on the physical intuition than on the strict calculations. Now let us go one step higher and explain the...

Proceedings of the NATO Advanced Study Institute on Propagation of Correlations in Constrained Systems, Cargèse, Corsica, France, July 2-14, 1990