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Elementary Real and Complex Analysis (Dover Books on Mathematics)
Elementary Real and Complex Analysis (Dover Books on Mathematics)
Excellent undergraduate-level text offers coverage of real numbers, sets, metric spaces, limits, continuous functions, series, the derivative, higher derivatives, the integral and more. Each chapter contains a problem set (hints and answers at the end), while a wealth of examples and applications are found throughout the text. Over 340 theorems...
Playing with Infinity: Mathematical Explorations and Excursions
Playing with Infinity: Mathematical Explorations and Excursions
Popular account ranges from counting to mathematical logic and covers the many mathematical concepts that relate to infinity: graphic representation of functions; pairings and other combinations; prime numbers; logarithms and circular functions; formulas, analytical geometry; infinite lines, complex numbers, expansion in the power series;...
The Thirteen Books of the Elements (Euclid, Vol. 2--Books III-IX)
The Thirteen Books of the Elements (Euclid, Vol. 2--Books III-IX)

Volume 2 of 3-volume set containing complete English text of all 13 books of the Elements plus critical analysis of each definition, postulate, and proposition. Covers textual and linguistic matters; mathematical analyses of Euclid's ideas; classical, medieval, Renaissance and modern commentators; refutations, supports,...

The Thirteen Books of Euclid's Elements, Books X - XIII
The Thirteen Books of Euclid's Elements, Books X - XIII
Volume 1 of 3-volume set containing complete English text of all 13 books of the Elements plus critical apparatus analyzing each definition, postulate and proposition in great detail. Covers textual and linguistic matters; mathematical analyses of Euclid's ideas; commentators; refutations, supports, extrapolations, reinterpretations...
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....
The Conceptual Foundations of the Statistical Approach in Mechanics (Dover Books on Physics and Chemistry)
The Conceptual Foundations of the Statistical Approach in Mechanics (Dover Books on Physics and Chemistry)
IN recent years there has been a strong revival of interest in the foundations of statistical mechanics, and a great deal of important work has been done both in this country and abroad.

"The Conceptual Foundations of Statistical Mechanics" is the title of a celebrated article which the late Paul Ehrenfest prepared in
...
100 Great Problems of Elementary Mathematics (Dover classics of science & mathematics)
100 Great Problems of Elementary Mathematics (Dover classics of science & mathematics)

Problems that beset Archimedes, Newton, Euler, Cauchy, Gauss, Monge and other greats, ready to challenge today’s would-be problem solvers. Among them: How is a sundial constructed? How can you calculate the logarithm of a given number without the use of logarithm table? No advanced math is required. 100 problems with proofs.

A book...

Computers, Pattern, Chaos and Beauty
Computers, Pattern, Chaos and Beauty
Combining fractal theory with computer art, this book introduces a creative use of computers. It describes graphic methods for detecting patterns in complicated data and illustrates simple techniques for visualizing chaotic behavior. "Beautiful." — Martin Gardner, Scientific American. Over 275 illustrations, 29...
Matrices and Transformations
Matrices and Transformations

Text stresses use of matrices in study of transformations of the plane. Familiarizes reader with role of matrices in abstract algebraic systems and illustrates its effective use as mathematical tool in geometry. Includes proofs of most theorems. Answers to odd-numbered exercises.

MATRIX ALGEBRA is a significant topic in...

Complex Variables: Second Edition (Dover Books on Mathematics)
Complex Variables: Second Edition (Dover Books on Mathematics)
Hundreds of solved examples, exercises, and applications help students gain a firm understanding of the most important topics in the theory and applications of complex variables. Topics include the complex plane, basic properties of analytic functions, analytic functions as mappings, analytic and harmonic functions in applications, and transform...
The Foundations of Statistics
The Foundations of Statistics
With the 1954 publication of his Foundations of Statistics, in which he proposed a basis that takes into account not only strictly objective and repetitive events, but also vagueness and interpersonal differences, Leonard J. Savage opened the greatest controversy in modern statistical thought. His theory of the...
Combinatorial Group Theory: Presentations of Groups in Terms of Generators and Relations
Combinatorial Group Theory: Presentations of Groups in Terms of Generators and Relations
This seminal, much-cited account begins with a fairly elementary exposition of basic concepts and a discussion of factor groups and subgroups. The topics of Nielsen transformations, free and amalgamated products, and commutator calculus receive detailed treatment. The concluding chapter surveys word, conjugacy, and related problems; adjunction...
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