Learn IT - Dover Publications

The Conceptual Foundations of the Statistical Approach in Mechanics (Dover Books on Physics and Chemistry)

Dover Publications, 1990

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...

Ars Magna or the Rules of Algebra

Dover Publications, 1993

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...

A History of Mathematical Notations

Dover Publications, 1993

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...

Mathematical Fallacies and Paradoxes

Dover Publications, 1997

Stimulating, thought-provoking analysis of a number of the most interesting intellectual inconsistencies in mathematics, physics and language. Delightful elucidations of methods for misunderstanding the real world of experiment (Aristotle™s Circle paradox), being led astray by algebra (De Morgan™s paradox) and other mind-benders. Some...

Challenging Problems in Geometry

Dover Publications, 1996

Stimulating collection of unusual problems dealing with congruence and parallelism, the Pythagorean theorem, circles, area relationships, Ptolemy and the cyclic quadrilateral, collinearity and concurrency and many other topics. Arranged in order of difficulty. Detailed solutions.

The challenge of well-posed problems transcends national...

The Early Mathematical Manuscripts of Leibniz (Dover Books on Mathematics)

Dover Publications, 2005

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 Analytic Art (Dover Books on Mathematics)

Dover Publications, 2006

This historic work consists of several treatises that developed the first consistent, coherent, and systematic conception of algebraic equations. Originally published in 1591, it pioneered the notion of using symbols of one kind (vowels) for unknowns and of another kind (consonants) for known quantities.

Fran90is Viete was born in...

The Origins of Cauchy's Rigorous Calculus (Dover Books on Mathematics)

Dover Publications, 2005

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...

A Combinatorial Introduction to Topology

Dover Publications, 1994

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...

Mathematics for the Physical Sciences

Dover Publications, 2006

Advanced undergraduates and graduate students in the natural sciences receive a solid foundation in several fields of mathematics with this text. Topics include vector spaces and matrices; orthogonal functions; polynomial equations; asymptotic expansions; ordinary differential equations; conformal mapping; and extremum problems....

Challenging Problems in Algebra (Dover Books on Mathematics)

Dover Publications, 1996

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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Challenging Mathematical Problems With Elementary Solutions (Volume 2)

Dover Publications, 1987

This volume contains seventy-four problems. The statements of the problems are given first, followed by a section giving complete solutions. Answers and hints are given at the end of the book. For most of the problems the reader is advised to find a solution by himself. After solving the problem, he should check his answer against the one given...

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