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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.
... | | 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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Advanced Number TheoryEminent mathematician/teacher approaches algebraic number theory from historical standpoint. Demonstrates how concepts, definitions, theories have evolved during last 2 centuries. Abounds with numerical examples, over 200 problems, many concrete, specific theorems. Includes numerous graphs and tables. The prerequisites for this book ... | | 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... | | 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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| | 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... | | 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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| | 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... | | An Introduction to Relativistic Quantum Field TheoryIn a relatively simple presentation that remains close to familiar concepts, this text for upper-level undergraduates and graduate students introduces modern developments of quantum field theory. "Combines thorough knowledge with a high degree of didactic ability and a delightful style." — Mathematical Reviews. 1961... |
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