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By Subject > Science and Mathematics > Mathematics > Differential and Integral Equations
Recommendations...
Ordinary Differential Equations by Morris Tenenbaum, Harry Pollard Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines general solution of a differential equation. Explores integrating factors; dilution and accretion problems; Laplace Transforms; Newton's Interpolation Formulas, more.
all books in Differential and Integral Equations
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|  | Integral Equations by B. L. Moiseiwitsch This text begins with simple examples of a variety of integral equations and the methods of their solution, and progresses to become gradually more abstract and encompass discussions of Hilbert space. 1977 edition.
all books in Differential and Integral Equations
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| Products in Differential and Integral Equations |  |  |  | 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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|  | Differential Equations: Geometric Theory by Solomon Lefschetz Geared toward upper-level undergraduates and graduate students, this text investigates nonlinear differential equations of the second order and includes an extensive overview of the classical literature. 1957 edition.
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| |  | Differential Manifolds by Antoni A. Kosinski Introductory text for advanced undergraduates and graduate students presents systematic study of the topological structure of smooth manifolds, starting with elements of theory and concluding with method of surgery. 1993 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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|  | Existence Theorems for Ordinary Differential Equations by Francis J. Murray, Kenneth S. Miller This text examines fundamental and general existence theorems, along with uniqueness theorems and Picard iterants, and applies them to properties of solutions and linear differential equations. 1954 edition.
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| |  | First-Order Partial Diff Equations 2 Vol Set by Dover Save Over 9%! The 2 volumes of First-Order Partial Differential Equations provides excellent treatment of theory and examines physical systems that can usefully be modeled by equations of the first order.
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|  | First-Order Partial Differential Equations, Vol. 1 by Hyun-Ku Rhee, Rutherford Aris, Neal R. Amundson First volume of 2-volume text, fully usable on its own, provides excellent treatment of theory, along with applications and examples. Exercises at the end of most sections. 1986 edition. Includes 189 black-and-white illustrations.
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|  | First-Order Partial Differential Equations, Vol. 2 by Hyun-Ku Rhee, Rutherford Aris, Neal R. Amundson Second volume of a highly regarded 2-volume set, fully usable on its own, examines physical systems that can usefully be modeled by equations of the first order. Exercises at the end of most chapters, 1989 edition. Includes 198 black-and-white illustrations.
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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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|  | Integral Equations by B. L. Moiseiwitsch This text begins with simple examples of a variety of integral equations and the methods of their solution, and progresses to become gradually more abstract and encompass discussions of Hilbert space. 1977 edition.
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|  | Integral Equations by F. G. Tricomi Authoritative, well-written treatment of extremely useful mathematical tool with wide applications. Topics include Volterra Equations, Fredholm Equations, Symmetric Kernels and Orthogonal Systems of Functions, more. Advanced undergraduate to graduate level. Exercises. Bibliography.
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|  | An Introduction to Differential Equations and Their Applications by Stanley J. Farlow This introductory text explores 1st- and 2nd-order differential equations, series solutions, the Laplace transform, difference equations, much more. Numerous figures, problems with solutions, notes. 1994 edition. Includes 268 figures and 23 tables.
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|  | Introduction to Linear Algebra and Differential Equations by John W. Dettman Excellent introductory text focuses on complex numbers, determinants, orthonormal bases, symmetric and hermitian matrices, first order non-linear equations, linear differential equations, Laplace transforms, Bessel functions, more. Includes 48 black-and-white illustrations. Exercises with solutions. Index.
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|  | An Introduction to Ordinary Differential Equations by Earl A. Coddington A thorough, systematic 1st course in elementary differential equations for undergraduates in mathematics and science, requiring only basic calculus for a background. Includes many exercises and problems, with answers. Index.
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|  | Introduction to Partial Differential Equations by Donald Greenspan Rigorous presentation, designed for use in a 1-semester course, explores basics; Fourier series; 2nd-order partial differential equations; wave, potential, and heat equations; approximate solution of partial differential equations, more. Exercises. 1961 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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