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Interpolation and Approximation (Dover Books on Mathematics)
Interpolation and Approximation (Dover Books on Mathematics)

Interpolation and approximation offer important applications in computer science and elsewhere. This intermediate-level survey abounds in useful examples of related subjects, starting with remainder theory, convergence theorems, and uniform and best approximation. Other topics include least square approximation, Hilbert space, orthogonal...

Lectures on Classical Differential Geometry: Second Edition (Dover Books on Mathematics)
Lectures on Classical Differential Geometry: Second Edition (Dover Books on Mathematics)
This book has developed from a one-term course in differential geometry given for juniors, seniors, and graduate students at the Massachusetts Institute of Technology. It presents the fundamental conceptions of the theory of curves and surfaces and applies them to a number of examples. Some care is given to historical, biographical, and...
Mathematical Logic (Dover Books on Mathematics)
Mathematical Logic (Dover Books on Mathematics)
After the appearance in 1952 of my "Introduction to Metamathematics", written for students at the first-year graduate level, I had no expectation of writing another text. But various occasions arose which required me to think about how to present parts of the same material more briefly, to a more...
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...

Challenging Problems in Algebra (Dover Books on Mathematics)
Challenging Problems in Algebra (Dover Books on Mathematics)

Stimulating collection of over 300 unusual problems involving equations and inequalities, Diophantine equations, number theory, quadratic equations, logarithms and more. Problems range from easy to difficult. Detailed solutions, as well as brief answers, for all problems are provided.

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The Origins of Cauchy's Rigorous Calculus (Dover Books on Mathematics)
The Origins of Cauchy's Rigorous Calculus (Dover Books on Mathematics)
This text for upper-level undergraduates and graduate students examines the events that led to a 19th-century intellectual revolution: the reinterpretation of the calculus undertaken by Augustin-Louis Cauchy and his peers. These intellectuals transformed the uses of calculus from problem-solving methods into a collection of well-defined...
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 Early Mathematical Manuscripts of Leibniz (Dover Books on Mathematics)
The Early Mathematical Manuscripts of Leibniz (Dover Books on Mathematics)
This text features Leibniz's own accounts of his work and comprises critical and historical notes and essays. An informative Introduction leads to the "postscript" to Leibniz's 1703 letter to James Bernoulli, his "Historia et Origio Calculi Differentialis," and manuscripts of the period 1673-77. Essays by C. I....
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
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Advanced Euclidean Geometry (Dover Books on Mathematics)
Advanced Euclidean Geometry (Dover Books on Mathematics)
Tms book deals with the geometry of the triangle and the circle, as developed extensively in the nineteenth century by British and Continental writers. This geometry, based entirely on the elementary plane geometry of Euclid or its modern equivalent, is rapidly coming to its due recognition as excellent material for college courses. Perhaps in no...
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 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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