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 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... | | Handbook of Practical Logic and Automated ReasoningThis book meets the demand for a self-contained and broad-based account of the concepts, the machinery and the use of automated reasoning. The mathematical logic foundations are described in conjunction with practical application, all with the minimum of prerequisites. The approach is constructive, concrete and algorithmic: a key feature is that... | | 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... |
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Geometric Problems on Maxima and MinimaQuestions of maxima and minima have great practical significance, with applications to physics, engineering, and economics; they have also given rise to theoretical advances, notably in calculus and optimization. Indeed, while most texts view the study of extrema within the context of calculus, this carefully constructed problem book takes a... | | The History of Approximation Theory: From Euler to BernsteinThe problem of approximating a given quantity is one of the oldest challenges faced by mathematicians. Its increasing importance in contemporary mathematics has created an entirely new area known as Approximation Theory. The modern theory was initially developed along two divergent schools of thought: the Eastern or Russian group, employing... | | 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... |
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Beyond Reason: Eight Great Problems That Reveal the Limits of ScienceA mind-bending excursion to the limits of science and mathematics
Are some scientific problems insoluble? In Beyond Reason, internationally acclaimed math and science author A. K. Dewdney answers this question by examining eight insurmountable mathematical and scientific roadblocks that have stumped thinkers across the... | | Moodle 1.9 MathMoodle is a popular e-learning platform that is making inroads into all areas of the curriculum. Using moodle helps you to develop exciting, interactive, and engaging online math courses. But teaching math requires use of graphs, equations, special notation, and other features that are not built into Moodle. Using Moodle to teach Mathematics... | | 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... |
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