Books in Mathematical methods in physics

1-10 of 74 results in All results

Encyclopedia of Mathematical Physics

• 2nd Edition
• October 25, 2024
• Richard Szabo + 1 more
• English
• eBook 978-0-323-95706-9

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Encyclopedia of Mathematical Physics, Second Edition provides a complete resource for researchers, students, and lecturers with an interest in mathematical physics. The book enables readers to access basic information on topics peripheral to their own areas by providing a repository of core information that can be used to refresh even the experienced researcher’s memory and aid teachers in directing students to entries relevant to their course-work. The impressive amount of information in this work - approximately 270 chapters - has been distilled, organized into 10 distinct sections and presented as a complete reference tool to the userThe book is a stimulus for new researchers working in mathematical physics—or in areas using the methods originating from work in mathematical physics—providing them with focused, high-quality background information.

Statistical Mechanics

• 4th Edition
• February 11, 2021
• R.K. Pathria + 1 more
• English
• Paperback 978-0-08-102692-2

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• eBook 978-0-08-102693-9

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Statistical Mechanics, Fourth Edition, explores the physical properties of matter based on the dynamic behavior of its microscopic constituents. This valuable textbook introduces the reader to the historical context of the subject before delving deeper into chapters about thermodynamics, ensemble theory, simple gases theory, Ideal Bose and Fermi systems, statistical mechanics of interacting systems, phase transitions, and computer simulations. In the latest revision, the book's authors have updated the content throughout, including new coverage on biophysical applications, updated exercises, and computer simulations. This updated edition will be an indispensable to students and researchers of statistical mechanics, thermodynamics, and physics.

Mathematics for Physical Science and Engineering

• 2nd Edition
• January 1, 2020
• Frank E. Harris
• English

Mathematics for Physical Science and Engineering is a complete text in mathematics for physical science that includes the use of symbolic computation to illustrate the mathematical concepts and enable the solution of a broader range of practical problems. This book enables professionals to connect their knowledge of mathematics to either or both of the symbolic languages Maple and Mathematica. The book begins by introducing the reader to symbolic computation and how it can be applied to solve a broad range of practical problems. Chapters cover topics that include: infinite series; complex numbers and functions; vectors and matrices; vector analysis; tensor analysis; ordinary differential equations; general vector spaces; Fourier series; partial differential equations; complex variable theory; and probability and statistics. Each important concept is clarified to students through the use of a simple example and often an illustration.

Physical Kinetics

• 1st Edition
• Volume 10
• December 20, 2017
• L. P. Pitaevskii + 2 more
• English
• eBook 978-1-4832-8541-2

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The approach to physical kinetics is closely integrated with that of other branches of physics as presented in the companion volumes of this series. The major part of the contents is concerned with a systematic development of the theory of plasmas, the authority being firmly rooted in the pioneer work of Landau. Although the main scope concerns fully ionized gaseous plasmas, corresponding results are also given for partially ionized plasmas, relativistic plasmas, degenerate or non-ideal plasmas and solid state plasmas. Problems (with answers) are to be found in the text. This work completes the Course of Theoretical Physics begun over 20 years ago

Integrability and Quantization

• 1st Edition
• February 16, 2016
• M. Asorey + 1 more
• English
• eBook 978-1-4832-5730-3

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Derivative with a New Parameter

• 1st Edition
• September 10, 2015
• Abdon Atangana
• English
• Paperback 978-0-08-100644-3

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• eBook 978-0-12-803825-3

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Derivative with a New Parameter: Theory, Methods and Applications discusses the first application of the local derivative that was done by Newton for general physics, and later for other areas of the sciences. The book starts off by giving a history of derivatives, from Newton to Caputo. It then goes on to introduce the new parameters for the local derivative, including its definition and properties. Additional topics define beta-Laplace transforms, beta-Sumudu transforms, and beta-Fourier transforms, including their properties, and then go on to describe the method for partial differential with the beta derivatives. Subsequent sections give examples on how local derivatives with a new parameter can be used to model different applications, such as groundwater flow and different diseases. The book gives an introduction to the newly-established local derivative with new parameters, along with their integral transforms and applications, also including great examples on how it can be used in epidemiology and groundwater studies.

Introduction to Spectral Theory in Hilbert Space

• 1st Edition
• Volume 6
• November 28, 2014
• Gilbert Helmberg
• H. A. Lauwerier + 1 more
• English
• eBook 978-1-4831-6417-5

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North-Holland Series in Applied Mathematics and Mechanics, Volume 6: Introduction to Spectral Theory in Hilbert Space focuses on the mechanics, principles, and approaches involved in spectral theory in Hilbert space. The publication first elaborates on the concept and specific geometry of Hilbert space and bounded linear operators. Discussions focus on projection and adjoint operators, bilinear forms, bounded linear mappings, isomorphisms, orthogonal subspaces, base, subspaces, finite dimensional Euclidean space, and normed linear spaces. The text then takes a look at the general theory of linear operators and spectral analysis of compact linear operators, including spectral decomposition of a compact selfadjoint operator, weakly convergent sequences, spectrum of a compact linear operator, and eigenvalues of a linear operator. The manuscript ponders on the spectral analysis of bounded linear operators and unbounded selfadjoint operators. Topics include spectral decomposition of an unbounded selfadjoint operator and bounded normal operator, functions of a unitary operator, step functions of a bounded selfadjoint operator, polynomials in a bounded operator, and order relation for bounded selfadjoint operators. The publication is a valuable source of data for mathematicians and researchers interested in spectral theory in Hilbert space.

Gaseous Electronics and Gas Lasers

• 1st Edition
• June 20, 2014
• Blake E. Cherrington
• D. Ter Haar
• English
• eBook 978-1-4832-7896-4

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Gaseous Electronics and Gas Lasers deals with the fundamental principles and methods of analysis of weakly ionized gas discharges and gas lasers. The emphasis is on processes occurring in gas discharges and the analytical methods used to calculate important process rates. Detailed analyses of a variety of gas discharges are presented using atomic, ionic, and gas lasers as primary illustrations. Comprised of 12 chapters, this book begins with some initial categorization of gas discharge species and an overview of their interactions. The discussion then turns to an elementary theory of a gas discharge; inelastic collisions; distribution functions and the Boltzmann equation; and transport coefficients. Subsequent chapters focus on the fluid equations; electron-density decay processes; excited species; atomic neutral gas lasers; molecular gas lasers; and ion lasers. The important electron loss processes that determine the behavior of a plasma when the source and loss terms balance are also examined. This monograph will be of value to graduate students, practitioners, and researchers in the fields of physics and engineering, as well as to professionals interested in working with weakly ionized discharges.

Mechanics and Electrodynamics

• 1st Edition
• October 22, 2013
• L D Landau + 1 more
• English
• eBook 978-1-4832-8529-0

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Largely a condensed amalgamation of two previous books by the same authors - Mechanics and The Classical Theory of Fields - omitting the rather more advanced topics such as general relativity.

Landau

• 1st Edition
• October 22, 2013
• A. Livanova + 1 more
• English
• eBook 978-1-4832-8554-2

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A biography of Lev Landau, one of the greatest Soviet theoretical physicists, whose career was cut short by a catastrophic car accident in 1962 and who was still only sixty when he died six years later. He won the Nobel Prize 'for pioneering work on the theory of the condensed state of matter, particularly liquid helium'. But the book shows that Landau's characterisation of himself as 'one of the last of the universal men of theoretical physics' was fully justified. Clearly and concisely it describes his achievements in all areas of theoretical physics from hydrodynamics to the quantum theory of fields. Attention is also paid to his genius as a teacher and mentor of young scientists, and throughout the book the true humanity of the man is evident