Physics for Mathematicians
Author : Michael Spivak
Publisher :
Page : 733 pages
File Size : 43,20 MB
Release : 2010
Category : Mechanics
ISBN : 9780914098324
Author : Michael Spivak
Publisher :
Page : 733 pages
File Size : 43,20 MB
Release : 2010
Category : Mechanics
ISBN : 9780914098324
Author : Brian C. Hall
Publisher : Springer Science & Business Media
Page : 566 pages
File Size : 22,5 MB
Release : 2013-06-19
Category : Science
ISBN : 1461471168
Although ideas from quantum physics play an important role in many parts of modern mathematics, there are few books about quantum mechanics aimed at mathematicians. This book introduces the main ideas of quantum mechanics in language familiar to mathematicians. Readers with little prior exposure to physics will enjoy the book's conversational tone as they delve into such topics as the Hilbert space approach to quantum theory; the Schrödinger equation in one space dimension; the Spectral Theorem for bounded and unbounded self-adjoint operators; the Stone–von Neumann Theorem; the Wentzel–Kramers–Brillouin approximation; the role of Lie groups and Lie algebras in quantum mechanics; and the path-integral approach to quantum mechanics. The numerous exercises at the end of each chapter make the book suitable for both graduate courses and independent study. Most of the text is accessible to graduate students in mathematics who have had a first course in real analysis, covering the basics of L2 spaces and Hilbert spaces. The final chapters introduce readers who are familiar with the theory of manifolds to more advanced topics, including geometric quantization.
Author : Frederick W. Byron
Publisher : Courier Corporation
Page : 674 pages
File Size : 20,6 MB
Release : 2012-04-26
Category : Science
ISBN : 0486135063
Graduate-level text offers unified treatment of mathematics applicable to many branches of physics. Theory of vector spaces, analytic function theory, theory of integral equations, group theory, and more. Many problems. Bibliography.
Author : Francis Bitter
Publisher : Courier Corporation
Page : 210 pages
File Size : 15,67 MB
Release : 2004-01-01
Category : Mathematics
ISBN : 0486435016
Reader-friendly guide offers illustrative examples of the rules of physical science and how they were formulated. Topics include the role of mathematics as the language of physics; nature of mechanical vibrations; harmonic motion and shapes; geometry of the laws of motion; more. 60 figures. 1963 edition.
Author : G. J. Pert
Publisher : John Wiley & Sons
Page : 467 pages
File Size : 37,85 MB
Release : 2021-03-29
Category : Science
ISBN : 111977425X
A comprehensive textbook on the foundational principles of plasmas, including material on advanced topics and related disciplines such as optics, fluid dynamics, and astrophysics Foundations of Plasma Physics for Physicists and Mathematicians covers the basic physics underlying plasmas and describes the methodology and techniques used in both plasma research and other disciplines such as optics and fluid mechanics. Designed to help readers develop physical understanding and mathematical competence in the subject, this rigorous textbook discusses the underlying theoretical foundations of plasma physics as well as a range of specific problems, focused on those principally associated with fusion. Reflective of the development of plasma physics, the text first introduces readers to the collective and collisional behaviors of plasma, the single particle model, wave propagation, the kinetic effects of gases and plasma, and other foundational concepts and principles. Subsequent chapters cover topics including the hydrodynamic limit of plasma, ideal magneto-hydrodynamics, waves in MHD plasmas, magnetically confined plasma, and waves in magnetized hot and cold plasma. Written by an acknowledged expert with more than five decades’ active research experience in the field, this authoritative text: Identifies and emphasizes the similarities and differences between plasmas and fluids Describes the different types of interparticle forces that influence the collective behavior of plasma Demonstrates and stresses the importance of coherent and collective effects in plasma Contains an introduction to interactions between laser beams and plasma Includes supplementary sections on the basic models of low temperature plasma and the theory of complex variables and Laplace transforms Foundations of Plasma Physics for Physicists and Mathematicians is the ideal textbook for advanced undergraduate and graduate students in plasma physics, and a valuable compendium for physicists working in plasma physics and fluid mechanics.
Author : Donald H. Menzel
Publisher : Courier Corporation
Page : 434 pages
File Size : 11,92 MB
Release : 2012-05-23
Category : Science
ISBN : 0486139107
Useful treatment of classical mechanics, electromagnetic theory, and relativity includes explanations of function theory, vectors, matrices, dyadics, tensors, partial differential equations, other advanced mathematical techniques. Nearly 200 problems with answers.
Author : Richard Courant
Publisher : John Wiley & Sons
Page : 852 pages
File Size : 30,49 MB
Release : 2008-09-26
Category : Science
ISBN : 3527617248
Since the first volume of this work came out in Germany in 1937, this book, together with its first volume, has remained standard in the field. Courant and Hilbert's treatment restores the historically deep connections between physical intuition and mathematical development, providing the reader with a unified approach to mathematical physics. The present volume represents Richard Courant's final revision of 1961.
Author : Leon Armenovich Takhtadzhi͡an
Publisher : American Mathematical Soc.
Page : 410 pages
File Size : 26,34 MB
Release : 2008
Category : Mathematics
ISBN : 0821846302
Presents a comprehensive treatment of quantum mechanics from a mathematics perspective. Including traditional topics, like classical mechanics, mathematical foundations of quantum mechanics, quantization, and the Schrodinger equation, this book gives a mathematical treatment of systems of identical particles with spin.
Author : Michael M. Woolfson
Publisher : Oxford University Press
Page : 805 pages
File Size : 40,37 MB
Release : 2007
Category : Mathematics
ISBN : 0199289298
Mathematics for Physics features both print and online support, with many in-text exercises and end-of-chapter problems, and web-based computer programs, to both stimulate learning and build understanding.
Author : Sadri Hassani
Publisher : Springer Science & Business Media
Page : 1052 pages
File Size : 32,80 MB
Release : 2002-02-08
Category : Science
ISBN : 9780387985794
For physics students interested in the mathematics they use, and for math students interested in seeing how some of the ideas of their discipline find realization in an applied setting. The presentation strikes a balance between formalism and application, between abstract and concrete. The interconnections among the various topics are clarified both by the use of vector spaces as a central unifying theme, recurring throughout the book, and by putting ideas into their historical context. Enough of the essential formalism is included to make the presentation self-contained.