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Recommendations... Ordinary Differential Equations
by Morris Tenenbaum, Harry Pollard
Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines the general solution of a differential equation. Explores integrating factors; dilution and accretion problems; Laplace Transforms; Newton's Interpolation Formulas, more.
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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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 Ordinary Differential Equations
by Jack K. Hale
This rigorous treatment prepares readers for the study of differential equations and shows them how to research current literature. It emphasizes nonlinear problems and specific analytical methods. 1969 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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 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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| |  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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 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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| |  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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Products in Differential and Integral Equations | | |  | Abstract Methods in Partial Differential Equations
by Robert W. Carroll
Detailed, self-contained treatment examines modern abstract methods in partial differential equations, especially abstract evolution equations. Suitable for graduate students with some previous exposure to classical partial differential equations. 1969 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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|  | Differential Equations
by F.G. Tricomi, Elizabeth A. McHarg
Practical, concise text covers the existence and uniqueness theorem, characteristics of first-order equations, boundary problems for second-order linear equations, asymptotic methods, and differential equations in the complex field. 1961 edition.
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|  | Differential Equations
by Harry Hochstadt
Modern approach to differential equations presents subject in terms of ideas and concepts rather than special cases and tricks which traditional courses emphasized. No prerequisites needed other than a good calculus course.
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|  | Differential Equations with Applications
by Paul D. Ritger, Nicholas J. Rose
Coherent introductory text focuses on initial- and boundary-value problems, general properties of linear equations, and differences between linear and nonlinear systems. Answers to most problems.
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|  | Differential Equations: A Concise Course
by H. S. Bear
First-rate introduction for undergraduates examines first order equations, complex-valued solutions, linear differential operators, the Laplace transform, Picard's existence theorem, and much more. Includes problems and solutions.
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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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|  | Distributions: An Outline
by Jean-Paul Marchand
Rigorous and concise, this text examines the basis of the distribution theories devised by Schwartz and by Mikusinki and surveys both functional and algebraic theories of distribution. 1962 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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|  | Finite Difference Equations
by H. Levy, F. Lessman
Comprehensive study of use of calculus of finite differences as an approximation method for solving troublesome differential equations. Elementary difference operations, interpolation and extrapolation, expansion of solutions of nonlinear equations, more. Exercises with answers. 1961 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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|  | 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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| | 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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