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Special Functions & Their ApplicationsTranslated by Richard Silverman. Famous Russian work covers basic theory of the more important special functions and their application to specific problems of physics and engineering. Most space devoted to application of cylinder functions and spherical harmonics. Also treated: gamma function, probability integral and related functions, Airy... | | | | Elementary Real and Complex Analysis (Dover Books on Mathematics)Excellent undergraduate-level text offers coverage of real numbers, sets, metric spaces, limits, continuous functions, series, the derivative, higher derivatives, the integral and more. Each chapter contains a problem set (hints and answers at the end), while a wealth of examples and applications are found throughout the text. Over 340 theorems... |
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Complex Variables: Second Edition (Dover Books on Mathematics)Hundreds of solved examples, exercises, and applications help students gain a firm understanding of the most important topics in the theory and applications of complex variables. Topics include the complex plane, basic properties of analytic functions, analytic functions as mappings, analytic and harmonic functions in applications, and transform... | | | | Ordinary Differential EquationsSkillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines general solution of a differential equation. Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton’s Interpolation Formulas,... |
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Theory of Electromagnetic Wave Propagation (Dover Books on Physics and Chemistry)This excellent graduate-level text discusses the Maxwell field equations, radiation from monochromatic sources in unbounded regions, radiation from wire antennas, radio-astronomical antennas, electromagnetic waves in a plasma, the Doppler effect and more.
This book represents the substance of a course of lectures I gave during the winter... | | The Science of Soap Films and Soap BubblesSuperb presentation of the molecular and macroscopic properties of soap films and bubbles, including many demonstrations that can be readily performed with simple household materials. Emphasis on application of soap films to solution of physical problems, e.g. the motorway and minimum area problems. Over 120 black-and-white illustrations, 41 color... | | Elementary Theory of Numbers (Dover books on advanced mathematics)In the past few years there has been a great resurgence of interest in mathematics on both the secondary and undergraduate levels, and a growing recognition that the courses traditionally offered do not exhaust the mathematics which it is both possible and desirable to teach at those levels. Of course, not aU of modern mathematics is accessible;... |
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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.
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