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Lie Groups for Pedestrians
Lie Groups for Pedestrians

According to the author of this concise, high-level study, physicists often shy away from group theory, perhaps because they are unsure of which parts of the subject belong to the physicist and which belong to the mathematician. However, it is possible for physicists to understand and use many techniques which have a group theoretical basis...

Singular Integral Equations: Boundary Problems of Function Theory and Their Application to Mathematical Physics
Singular Integral Equations: Boundary Problems of Function Theory and Their Application to Mathematical Physics
This high-level treatment by a noted mathematician considers one-dimensional singular integral equations involving Cauchy principal values. Intended for graduate students and professionals, its coverage includes such topics as the Hölder condition, Hilbert and Riemann-Hilbert problems, the Dirichlet problem, inversion...
Fourier Series and Orthogonal Polynomials (Dover Books on Mathematics)
Fourier Series and Orthogonal Polynomials (Dover Books on Mathematics)
This text illustrates the fundamental simplicity of the properties of orthogonal functions and their developments in related series. Begins with a definition and explanation of the elements of Fourier series, and examines Legendre polynomials and Bessel functions. Also includes Pearson frequency functions and chapters on orthogonal,...
Ars Magna or the Rules of Algebra
Ars Magna or the Rules of Algebra
It has often been pointed out that three of the greatest masterpieces of science created during the Rinascimento appeared in print almost simultaneously: Copernicus, De Revolutionibus Orbium Coelestium (1543) ; Vesalius, De Fabrica Humani Corporis (1543), and finally Girolamo Cardano, Artis Magnae Sive de Regulis Algebraicis (1545). But while the...
Special Functions & Their Applications
Special Functions & Their Applications
Translated by Richard Silverman. Famous Russian work covers basic theory of the more important special functions and their application to specific problems of physics and engineering. Most space devoted to application of cylinder functions and spherical harmonics. Also treated: gamma function, probability integral and related functions, Airy...
A History of Mathematical Notations
A History of Mathematical Notations
This classic study notes the first appearance of a mathematical symbol and its origin, the competition it encountered, its spread among writers in different countries, its rise to popularity, its eventual decline or ultimate survival. The author’s coverage of obsolete notations—and what we can learn from them—is as comprehensive...
Entertaining Mathematical Puzzles
Entertaining Mathematical Puzzles

Only an elementary knowledge of math is needed to enjoy this entertaining compilation of brain-teasers. It includes a mixture of old and new riddles covering a variety of mathematical topics: money, speed, plane and solid geometry, probability, topology, tricky puzzles and more. Carefully explained solutions follow each problem. 65...

A Combinatorial Introduction to Topology
A Combinatorial Introduction to Topology
Topology is remarkable for its contributions to the popular culture of mathematics. Euler's formula for polyhedra, the four color theorem, the Mobius strip, the Klein bottle, and the general notion of a rubber sheet geometry are all part of the folklore of current mathematics. The student in a first course in topology, however, must often wonder...
Analytical Geometry of Three Dimensions (Dover Books on Mathematics)
Analytical Geometry of Three Dimensions (Dover Books on Mathematics)
Brief but rigorous, this text is geared toward advanced undergraduates and graduate students. It covers the coordinate system, planes and lines, spheres, homogeneous coordinates, general equations of the second degree, quadric in Cartesian coordinates, and intersection of quadrics.
Mathematician, physicist, and astronomer, William
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Statistical Thermodynamics
Statistical Thermodynamics
Nobel laureate’s brilliant attempt to develop a simple, unified standard method of dealing with all cases of statistical thermodynamics (classical, quantum, Bose-Einstein, Fermi-Dirac, etc.). Discussions of Nernst theorem, Planck’s oscillator, fluctuations, the n-particle problem, problem of radiation, much more.

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Fundamental Formulas of Physics, Vol. 2
Fundamental Formulas of Physics, Vol. 2
Volume 2 of a two-volume set, this important work covers basic mathematical formulas, statistics, nomograms, physical constants, classical mechanics, special and general theories of relativity, hydrodynamics and aerodynamics, boundary value problems in mathematical physics, heat and thermodynamics, statistical mechanics, kinetic theory of...
Fundamental Formulas of Physics, Vol. 1
Fundamental Formulas of Physics, Vol. 1
Volume 1 of a two-volume set. This important work covers basic mathematical formulas, statistics, nomograms, physical constants, classical mechanics, special theory of relativity, general theory of relativity, hydrodynamics and aerodynamics, boundary value problems in mathematical physics, heat and thermodynamics, statistical mechanics, kinetic...
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