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Books in Mathematical methods in physics

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    • Statistical Mechanics

      • 4th Edition
      • February 11, 2021
      • R.K. Pathria + 1 more
      • English
      • Paperback
        9 7 8 0 0 8 1 0 2 6 9 2 2
      • eBook
        9 7 8 0 0 8 1 0 2 6 9 3 9
      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.

    • Physical Kinetics

      • 1st Edition
      • Volume 10
      • December 20, 2017
      • L. P. Pitaevskii + 2 more
      • English
      • eBook
        9 7 8 1 4 8 3 2 8 5 4 1 2
      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
      • June 3, 2016
      • M. Asorey + 1 more
      • English
      • Paperback
        9 7 8 1 4 8 3 2 5 2 0 3 2
      • eBook
        9 7 8 1 4 8 3 2 5 7 3 0 3

    • Computer-Oriented Mathematical Physics

      • 1st Edition
      • May 24, 2016
      • Donald Greenspan
      • English
      • Paperback
        9 7 8 1 4 8 3 2 3 4 5 0 2
      • Hardback
        9 7 8 0 0 8 0 2 6 4 7 1 4
      • eBook
        9 7 8 1 4 8 3 2 7 8 8 4 1
      Computer-Oriented Mathematical Physics describes some mathematical models of classical physical phenomena, particularly the mechanics of particles. This book is composed of 12 chapters, and begins with an introduction to the link between mathematics and physics. The subsequent chapters deal with the concept of gravity, the theoretical foundations f classical physics as a mathematical science, and the principles of pendulum and other oscillators. These topics are followed by discussions of waves, vectors, gravitation, the body-problem, and discrete fluid models. The final chapters examine the phenomena of spinning tops and skaters, as well as the Galilean principle of relativity. This book is of value as an introductory textbook for math and physics university and advanced high school students.

    • Derivative with a New Parameter

      • 1st Edition
      • September 10, 2015
      • Abdon Atangana
      • English
      • Paperback
        9 7 8 0 0 8 1 0 0 6 4 4 3
      • eBook
        9 7 8 0 1 2 8 0 3 8 2 5 3
      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
      • Paperback
        9 7 8 1 4 8 3 1 3 1 7 5 7
      • eBook
        9 7 8 1 4 8 3 1 6 4 1 7 5
      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.

    • Single-mode Optical Fibres

      • 1st Edition
      • June 28, 2014
      • G. Cancellieri
      • English
      • Paperback
        9 7 8 1 4 9 3 3 0 6 6 2 6
      • Hardback
        9 7 8 0 0 8 0 4 0 7 4 2 5
      • eBook
        9 7 8 1 4 8 3 2 9 6 0 7 4
      This book describes signal propagation in single-mode optical fibres for telecommunication applications. Such description is based on the analysis of field propagation, considering waveguide properties and also some of the particular characteristics of the material fibre. The book covers such recent advances as, coherent transmissions; optical amplification; MIR fibres; polarization maintaining; polarization diversity and photon counting.

    • Gaseous Electronics and Gas Lasers

      • 1st Edition
      • June 20, 2014
      • Blake E. Cherrington
      • D. Ter Haar
      • English
      • Paperback
        9 7 8 1 4 8 3 2 3 4 0 0 7
      • eBook
        9 7 8 1 4 8 3 2 7 8 9 6 4
      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.

    • Group Theory

      • 1st Edition
      • September 3, 2013
      • Eugene P. Wigner
      • H. S. W. Massey
      • English
      • Paperback
        9 7 8 1 4 8 3 2 5 0 7 8 6
      • eBook
        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.

    • Advances in Theoretical Physics

      • 1st Edition
      • October 22, 2013
      • Alan H. Luther
      • English
      • eBook
        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.