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 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 ... | | Challenging Problems in GeometryStimulating 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... | | Mathematical Fallacies and ParadoxesStimulating, 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... |
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A History of Mathematical NotationsThis 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... | | Ars Magna or the Rules of AlgebraIt 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... | | The Continuum: A Critical Examination of the Foundation of AnalysisConcise classic consists of two chapters dealing with the conceptual problem posed by the continuum—the set of all real numbers. Chapter One deals with the logic and mathematics of set and function, while Chapter Two focuses on the concept of number and the continuum. Advanced-level mathematical landmark will interest anyone working in... |
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Essays on the Theory of NumbersTwo most important essays by the famous German mathematician: First provides an arithmetic, rigorous foundation for the irrational numbers, thereby a rigorous meaning of continuity in analysis. Second is an attempt to give logical basis for transfinite numbers and properties of the natural numbers.
MY attention was first directed toward... | | Mathematical PuzzlingMany of those who read this book will be interested in the puzzles and investigations for their own sake. Everyone will, I trust, find some things that are new - perhaps even refreshing, And I hope that those who teach mathematics win find the collection especially useful. The problems will challenge and stimulate able youngsters in a way which... | | Mathematical RecreationsIN October, 1941, I was invited to give a course of lectures at the New School for Social Research in New York City on the general topic, "Mathematical Recreations." On these lectures this book is based.
It may also be regarded as a revised edition of my similar work, published in French, entitled, "La Mathematique des... |
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Recreations in the Theory of NumbersWHILE the author was a student, an enthusiastic mathematics professor recommended to the class a book entitled Mathematical Recreations and Essays, by W. W. R. Ball. The students dutifully made a note of the title and most of them no doubt promptly forgot about it. Many years later when the book was mentioned to several of the author's own classes,... | | The Green Book of Mathematical ProblemsThere 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... | | |
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