Books in Mathematical methods in physics

11-20 of 74 results in All results

Landau: The Physicist & the Man

• 1st Edition
• October 22, 2013
• J B J B Sykes
• I. M. Khalatnikov
• English
• eBook 978-1-4832-8688-4

  9 7 8 - 1 - 4 8 3 2 - 8 6 8 8 - 4

The name of Lev Davidovich Landau is widely known as that of one of the greatest twentieth-century physicists. A brilliant teacher to those pupils he carefully chose, notoriously controversial in his outlook and opinions, the combination of his outstanding intellect and striking personality brought him almost legendary fame. This volume contains letters, papers and recollections by friends and pupils, describing Landau's views of science, culture and life, and provides the reader with a vivid portrait of a remarkable man.

Advances in Theoretical Physics

• 1st Edition
• October 22, 2013
• Alan H. Luther
• English
• eBook 978-1-4832-8695-2

  9 7 8 - 1 - 4 8 3 2 - 8 6 9 5 - 2

At Copenhagen in June 1988, the 80th Anniversary of the birth of L D Landau, the much respected Soviet physicist and author of the Course on Theoretical Physics, published by Pergamon Press, was celebrated with an International Symposium in his honour. The papers presented at that meeting are published here, providing an overview of recent progress in theoretical physics, covering super-string theories, chaos, high Tc superconductivity and biomolecules.

Mathematical Methods for Physicists

• 4th Edition
• October 22, 2013
• George B. Arfken + 1 more
• English
• eBook 978-1-4832-8806-2

  9 7 8 - 1 - 4 8 3 2 - 8 8 0 6 - 2

This new and completely revised Fourth Edition provides thorough coverage of the important mathematics needed for upper-division and graduate study in physics and engineering. Following more than 28 years of successful class-testing, Mathematical Methods for Physicists is considered the standard text on the subject.A new chapter on nonlinear methods and chaos is included, as are revisions of the differential equations and complex variables chapters. The entire book has been made even more accessible, with special attention given to clarity, completeness, and physical motivation. It is an excellent reference apart from its course use.

Group Theory

• 1st Edition
• September 3, 2013
• Eugene P. Wigner
• H. S. W. Massey
• English
• eBook 978-1-4832-7576-5

  9 7 8 - 1 - 4 8 3 2 - 7 5 7 6 - 5

Group Theory and its Application to the Quantum Mechanics of Atomic Spectra describes the applications of group theoretical methods to problems of quantum mechanics with particular reference to atomic spectra. The manuscript first takes a look at vectors and matrices, generalizations, and principal axis transformation. Topics include principal axis transformation for unitary and Hermitian matrices; unitary matrices and the scalar product; linear independence of vectors; and real orthogonal and symmetric matrices. The publication also ponders on the elements of quantum mechanics, perturbation theory, and transformation theory and the bases for the statistical interpretation of quantum mechanics. The book discusses abstract group theory and invariant subgroups, including theorems of finite groups, factor group, and isomorphism and homomorphism. The text also reviews the algebra of representation theory, rotation groups, three-dimensional pure rotation group, and characteristics of atomic spectra. Discussions focus on eigenvalues and quantum numbers, spherical harmonics, and representations of the unitary group. The manuscript is a valuable reference for readers interested in the applications of group theoretical methods.

Lectures on The Many-Body Problems V2

• 1st Edition
• December 2, 2012
• E.R. Caianiello
• English
• eBook 978-0-323-15666-0

  9 7 8 - 0 - 3 2 3 - 1 5 6 6 6 - 0

Lectures on the Many-Body Problem is a compilation of papers delivered at the Fifth International School of Physics, held at Ravello, Italy in April 1963. The book is devoted to the techniques of many-body theory, which are used in finding solutions to difficult problems encountered in solid-state physics. The text discusses such topics as the discontinuities in the drift velocity of ions in liquid helium; density fluctuation excitations in many-particle systems; tunneling from a many-particle point of view; the mathematics of second quantization for systems of fermions; and correlation functions and macroscopic equations. Theoretical physicists will find the monograph invaluable.

International Symposium on Nonlinear Differential Equations and Nonlinear Mechanics

• 1st Edition
• December 2, 2012
• Joseph Lasalle
• English
• eBook 978-0-323-14730-9

  9 7 8 - 0 - 3 2 3 - 1 4 7 3 0 - 9

Nonlinear Differential Equations and Nonlinear Mechanics provides information pertinent to nonlinear differential equations, nonlinear mechanics, control theory, and other related topics. This book discusses the properties of solutions of equations in standard form in the infinite time interval. Organized into 49 chapters, this book starts with an overview of the characteristic types of differential equation systems with small parameters. This text then explains the structurally stable fields on a differentiable two manifold are the ones that exhibit the simplest features. Other chapters explore the canonic system of hyperbolic partial differential equations with fixed characteristics. This book discusses as well the monofrequent oscillations that are predominantly near one or the other of the linear modes of motion. The final chapter deals with the existence and asymptotic character of solutions of the nonlinear boundary value problem. This book is a valuable resource for pure and applied mathematicians. Aircraft engineers will also find this book useful.

Fractals in Physics

• 1st Edition
• December 2, 2012
• L. Pietronero + 1 more
• English
• eBook 978-0-444-59841-7

  9 7 8 - 0 - 4 4 4 - 5 9 8 4 1 - 7

The concepts of self-similarity and scale invariance have arisen independently in several areas. One is the study of the critical properties of phase transitions; another is fractal geometry, which involves the concept of (non-integer) fractal dimension. These two areas have now come together, and their methods have extended to various fields of physics. The purpose of this Symposium was to provide an overview of the physical phenomena that manifest scale invariance and fractal properties with the aim of bringing out the common mathematical features. The emphasis was on theoretical and experimental work related to well defined physical phenomena.

Mechanics, Analysis and Geometry: 200 Years after Lagrange

• 1st Edition
• December 2, 2012
• M. Francaviglia
• English
• eBook 978-0-444-59737-3

  9 7 8 - 0 - 4 4 4 - 5 9 7 3 7 - 3

Providing a logically balanced and authoritative account of the different branches and problems of mathematical physics that Lagrange studied and developed, this volume presents up-to-date developments in differential goemetry, dynamical systems, the calculus of variations, and celestial and analytical mechanics.

Mathematical Techniques and Physical Applications

• 1st Edition
• November 14, 2012
• J Killingbeck
• English
• eBook 978-0-323-14282-3

  9 7 8 - 0 - 3 2 3 - 1 4 2 8 2 - 3

Mathematical Techniques and Physical Applications provides a wide range of basic mathematical concepts and methods, which are relevant to physical theory. This book is divided into 10 chapters that cover the different branches of traditional mathematics. This book deals first with the concept of vector, matrix, and tensor analysis. These topics are followed by discussions on several theories of series relevant to physics; the fundamentals of complex variables and analytic functions; variational calculus for presenting the basic laws of many branches of physics; and the applications of group representations. The final chapters explore some partial and integral equations and derivatives of physics, as well as the concept and application of probability theory. Physics teachers and students will greatly appreciate this book.

Methods of Modern Mathematical Physics

• 1st Edition
• November 14, 2012
• Michael Reed
• English
• eBook 978-0-323-15500-7

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Methods of Modern Mathematical Physics, Volume I: Functional Analysis discusses the fundamental principles of functional analysis in modern mathematical physics. This book also analyzes the influence of mathematics on physics, such as the Newtonian mechanics used to interpret all physical phenomena. Organized into eight chapters, this volume starts with an overview of the functional analysis in the study of several concrete models. This book then discusses how to generalize the Lebesgue integral to work with functions on the real line and with Borel sets. This text also explores the properties of finite-dimensional vector spaces. Other chapters discuss the normed linear spaces, which have the property of being complete. This monograph further examines the general class of topologized vector spaces and the spaces of distributions that arise in a wide variety of physical problems and functional situations. This book is a valuable resource for mathematicians and physicists. Students and researchers in the field of geometry will also find this book extremely useful.