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 What is Mathematical Logic?This lively introduction to mathematical logic, easily accessible to non-mathematicians, offers an historical survey, coverage of predicate calculus, model theory, Godel’s theorems, computability and recursivefunctions, consistency and independence in axiomatic set theory, and much more. Suggestions for Further Reading. Diagrams.
... | | | | Statistical ThermodynamicsNobel 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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A Combinatorial Introduction to TopologyTopology 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... | | | | 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 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... | | 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,... | | 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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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... | | 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... | | 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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