 Lectures on Partial Differential Equations
by I. G. Petrovsky
Graduate-level exposition by noted Russian mathematician offers rigorous, readable coverage of classification of equations, hyperbolic equations, elliptic equations, and parabolic equations. Translated from the Russian by A. Shenitzer.
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| |  Mathematics of Classical and Quantum Physics
by Frederick W. Byron, Jr., Robert W. Fuller
Graduate-level text offers unified treatment of mathematics applicable to many branches of physics. Theory of vector spaces, analytic function theory, theory of integral equations, group theory, more. Many problems. Bibliography.
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 The Riemann Zeta-Function: Theory and Applications
by Aleksandar Ivic
This text covers exponential integrals and sums, 4th power moment, zero-free region, mean value estimates over short intervals, higher power moments, omega results, zeros on the critical line, zero-density estimates, and more. 1985 edition.
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| |  Mathematics for Physicists
by Philippe Dennery, André Krzywicki
Superb text provides math needed to understand today's more advanced topics in physics and engineering. Theory of functions of a complex variable, linear vector spaces, much more. Problems. 1967 edition.
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 Mathematics for the Physical Sciences
by Laurent Schwartz
Concise treatment of mathematical entities employs examples from the physical sciences. Topics include distribution theory, Fourier series, Laplace transforms, wave and heat conduction equations, and gamma and Bessel functions. 1966 edition.
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| |  Mathematical Tools for Physics
by James Nearing
Encouraging students' development of intuition, this original work begins with a review of basic mathematics and advances to infinite series, complex algebra, differential equations, Fourier series, and more. 2010 edition.
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 Mathematics for the Physical Sciences
by Herbert S Wilf
Topics include vector spaces and matrices; orthogonal functions; polynomial equations; asymptotic expansions; ordinary differential equations; conformal mapping; and extremum problems. Includes exercises and solutions. 1962 edition.
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| |  Partial Differential Equations for Scientists and Engineers
by Stanley J. Farlow
Practical text shows how to formulate and solve partial differential equations. Coverage includes diffusion-type problems, hyperbolic-type problems, elliptic-type problems, and numerical and approximate methods. Solution guide available upon request. 1982 edition.
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 Fundamentals of Mathematical Physics
by Edgar A. Kraut
Indispensable for students of modern physics, this text provides the necessary background in mathematics to study the concepts of electromagnetic theory and quantum mechanics. 1967 edition.
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| |  Mathematical Physics: A Popular Introduction
by Francis Bitter
Reader-friendly guide offers illustrative examples of the rules of physical science and how they were formulated. Direct, nontechnical terms explain methods of fact gathering, analysis, and experimentation. 60 figures. 1963 edition.
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 Nonstandard Methods in Stochastic Analysis and Mathematical Physics
by Sergio Albeverio, Jens Erik Fenstad, Raphael Høegh-Krohn, Tom Lindstrøm
Two-part treatment begins with a self-contained introduction to the subject, followed by applications to stochastic analysis and mathematical physics. "A welcome addition." — Bulletin of the American Mathematical Society. 1986 edition.
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| |  Applied Partial Differential Equations
by Paul DuChateau, David Zachmann
Book focuses mainly on boundary-value and initial-boundary-value problems on spatially bounded and on unbounded domains; integral transforms; uniqueness and continuous dependence on data, first-order equations, and more. Numerous exercises included.
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 Basic Linear Partial Differential Equations
by Francois Treves
Focusing on the archetypes of linear partial differential equations, this text for upper-level undergraduates and graduate students employs nontraditional methods to explain classical material. Nearly 400 exercises. 1975 edition.
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| |  Elements of Partial Differential Equations
by Ian N. Sneddon
This text features numerous worked examples in its presentation of elements from the theory of partial differential equations, emphasizing forms suitable for solving equations. Solutions to odd-numbered problems appear at the end. 1957 edition.
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 Generalized Functions and Partial Differential Equations
by Avner Friedman
This self-contained text details developments in the theory of generalized functions and the theory of distributions, and it systematically applies them to a variety of problems in partial differential equations. 1963 edition.
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| |  Hilbert Space Methods in Partial Differential Equations
by Ralph E. Showalter
This graduate-level text opens with an elementary presentation of Hilbert space theory sufficient for understanding the rest of the book. Additional topics include boundary value problems, evolution equations, optimization, and approximation.1979 edition.
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 Partial Differential Equations
by Avner Friedman
Largely self-contained, this three-part treatment focuses on elliptic and evolution equations, concluding with a series of independent topics directly related to the methods and results of the preceding sections. 1969 edition.
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| |  Partial Differential Equations: An Introduction
by David Colton
This text offers students in mathematics, engineering, and the applied sciences a solid foundation for advanced studies in mathematics. Features coverage of integral equations and basic scattering theory. Includes exercises, many with answers. 1988 edition.
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 Introduction to Partial Differential Equations with Applications
by E. C. Zachmanoglou, Dale W. Thoe
This text explores the essentials of partial differential equations as applied to engineering and the physical sciences. Discusses ordinary differential equations, integral curves and surfaces of vector fields, the Cauchy-Kovalevsky theory, more. Problems and answers.
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| |  Partial Differential Equations: Sources and Solutions
by Arthur David Snider
This newly updated text explores the solution of partial differential equations by separating variables, reviewing the tools for the technique, and examining the algorithmic nature of the process. 1999 edition.
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 Partial Differential Equations of Parabolic Type
by Avner Friedman
With this book, even readers unfamiliar with the field can acquire sufficient background to understand research literature related to the theory of parabolic and elliptic equations. 1964 edition.
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