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Mathematics of Classical and Quantum Physics
Mathematics of Classical and Quantum Physics
This book is designed as a companion to the graduate level physics texts on classical mechanics, electricity, magnetism, and quantum mechanics. It grows out of a course given at Columbia University and taken by virtually all first year graduate students as a fourth basic course, thereby eliminating the need to cover this mathematical material in a...
Unbounded Linear Operators: Theory and Applications (Dover Books on Mathematics)
Unbounded Linear Operators: Theory and Applications (Dover Books on Mathematics)
In recent years important progress has been made in the study of linear operators by extending to closed operators many fundamental theorems which were known for bounded operators. The applications of the theory permit unification of a series of diverse questions in differential equations, which leads to significant results with substantial...
Cryptanalysis
Cryptanalysis
Thorough, systematic introduction to serious cryptography, especially strong in modern forms of cipher solution used by experts. Nihilist, grille, U. S. Army, key-phrase, multiple-alphabet, Gronsfeld, Porta, Beaufort, periodic ciphers, and more. Simple and advanced methods. 166 specimens to solve — with solutions....
Codes, Ciphers and Secret Writing (Test Your Code Breaking Skills)
Codes, Ciphers and Secret Writing (Test Your Code Breaking Skills)
Experiment with cryptography — the science of secret writing. Cipher and decipher codes: transposition and polyalphabetical ciphers, famous codes, typewriter and telephone codes, codes that use playing cards, knots, and swizzle sticks...even invisible writing and sending messages through outer space. Hours of intrigue and challenge. 45...
The Science of Soap Films and Soap Bubbles
The Science of Soap Films and Soap Bubbles
Superb presentation of the molecular and macroscopic properties of soap films and bubbles, including many demonstrations that can be readily performed with simple household materials. Emphasis on application of soap films to solution of physical problems, e.g. the motorway and minimum area problems. Over 120 black-and-white illustrations, 41 color...
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,...
The Green Book of Mathematical Problems
The Green Book of Mathematical Problems
There is a famous set of fairy tale books, each volume of which is designated by the colour of its cover: The Red Book, The Blue Book, The Yellow Book, etc. We are not presenting you with The Green Book of fairy stories. but rather a book of mathematical problems. However, the conceptual idea of all fairy stories, that of mystery, search, and...
Thermodynamics
Thermodynamics
In this classic of modern science, the Nobel Laureate presents a clear treatment of systems, the First and Second Laws of Thermodynamics, entropy, thermodynamic potentials, and much more. Calculus required.

THIS book ori~nated in a course of lectures held at Columbia University, New York, during the summer session of
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The Method of Trigonometrical Sums in the Theory of Numbers (Dover Books on Mathematics)
The Method of Trigonometrical Sums in the Theory of Numbers (Dover Books on Mathematics)
Since 1934 the analytic theory of numbers has been largely transformed by the \vork of Vinogradov. This \vork, which has led to remarkable ne\v results, is characterized by its supreme ingenuity and great power.

Vinogradov has expounded his method and its applications in a series of papers and in two monographs 1), which appeared in 1937
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Matrix and Tensor Calculus: With Applications to Mechanics, Elasticity and Aeronautics
Matrix and Tensor Calculus: With Applications to Mechanics, Elasticity and Aeronautics
This volume is based on a series of lectures on matrix calculus and tensor calculus, and their applications, given under the sponsorship of the Engineering, Science, and Management War Training (ESMWT) program, from August 1942 to March 1943. The group taking the course included a considerable number of outstanding research engineers and directors...
The Theory of Matrices in Numerical Analysis
The Theory of Matrices in Numerical Analysis
This book represents an effort to select and present certain aspects of the theory of matrices that are most useful in developing and appraising computational methods for solving systems of linear equations (including the inversion of matrices) and for finding characteristic roots. The solution of linear inequalities and the problems of linear...
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.

The object
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