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Variational Analysis by Marston Morse This text presents extended separation, comparison, and oscillation theorems that replace the classical analysis of Legendre, Jacobi, Hilbert, and others. Its analysis of related quadratic functionals shows how critical extremals can substitute for minimizing extremals.Author Marston Morse is renowned for his development of a version of variational theory with applications to equilibrium problems in mathematical physics—the theory...

Some Mathematical Methods of Physics by Gerald Goertzel This well-rounded, thorough treatment for advanced undergraduates and graduate students introduces basic concepts of mathematical physics involved in the study of linear systems. The text emphasizes eigenvalues, eigenfunctions, and Green's functions. Prerequisites include differential equations and a first course in theoretical physics.The three-part presentation begins with an exploration of systems with a finite number...

Complex Variable Methods in Elasticity by A. H. England The plane strain and generalized plane stress boundary value problems of linear elasticity are the focus of this graduate-level text, which formulates and solves these problems by employing complex variable theory. The text presents detailed descriptions of the three basic methods that rely on series representation, Cauchy integral representation, and the solution via continuation. Its five-part treatment covers functions of...

Quantum Theory of Many-Particle Systems by Alexander L. Fetter 'Singlemindedly devoted to its job of educating potential many-particle theorists…deserves to become the standard text in the field.' — Physics Today'The most comprehensive textbook yet published in its field and every postgraduate student or teacher in this field should own or have access to a copy.' — EndeavorA self-contained, unified treatment of nonrelativistic many-particle...

Topology by John G. Hocking 'As textbook and reference work, this is a valuable addition to the topological literature.' — Mathematical ReviewsDesigned as a text for a one-year first course in topology, this authoritative volume offers an excellent general treatment of the main ideas of topology. It includes a large number and variety of topics from classical topology as well as newer areas of research activity.There are four set-theoretic chapters,...

Finite Elements of Nonlinear Continua by J. T. Oden Geared toward undergraduate and graduate students, this text extends applications of the finite element method from linear problems in elastic structures to a broad class of practical, nonlinear problems in continuum mechanics. It treats both theory and applications from a general and unifying point of view.The text reviews the thermomechanical principles of continuous media and the properties of the finite element method,...

Practical Conic Sections by J. W. Downs Illustrated with interesting examples from everyday life, this text shows how to create ellipses, parabolas, and hyperbolas and presents fascinating historical background on their ancient origins. The text starts with a discussion of techniques for generating the conic curves, showing how to create accurate depictions of large or small conic curves and describing their reflective properties, from light in telescopes to sound in...

Physics of Electric Propulsion by Robert G. Jahn Geared toward advanced undergraduates and graduate students, this text systematically develops the concepts of electrical acceleration of gases for propulsion. Author Robert G. Jahn, Professor of Aerospace Sciences at Princeton University, starts his presentation with primary physical principles and concludes with realistic space thruster designs.Part I consists of a survey of those aspects of electricity, magnetism, and ionized...

Stochastic Processes and Filtering Theory by Andrew H. Jazwinski This unified treatment of linear and nonlinear filtering theory presents material previously available only in journals, and in terms accessible to engineering students. Its sole prerequisites are advanced calculus, the theory of ordinary differential equations, and matrix analysis. Although theory is emphasized, the text discusses numerous practical applications as well.Taking the state-space approach to...

Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena by Ya. B. Zelâ€™dovich High temperatures elicit a variety of reactions in gases, including increased molecular vibrations, dissociation, chemical reactions, ionization, and radiation of light. In addition to affecting the motion of the gas, these processes can lead to changes of composition and electrical properties, as well as optical phenomena.These and other processes of extreme conditions —...