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An Introduction to Differential Equations and Their Applications

An Introduction to Differential Equations and Their Applications
Author: Stanley J. Farlow
Publisher: Courier Corporation
Total Pages: 642
Release: 2012-10-23
Genre: Mathematics
ISBN: 0486135136

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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.


An Introduction to Ordinary Differential Equations

An Introduction to Ordinary Differential Equations
Author: Ravi P. Agarwal
Publisher: Springer Science & Business Media
Total Pages: 333
Release: 2008-12-10
Genre: Mathematics
ISBN: 0387712763

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Ordinary differential equations serve as mathematical models for many exciting real world problems. Rapid growth in the theory and applications of differential equations has resulted in a continued interest in their study by students in many disciplines. This textbook organizes material around theorems and proofs, comprising of 42 class-tested lectures that effectively convey the subject in easily manageable sections. The presentation is driven by detailed examples that illustrate how the subject works. Numerous exercise sets, with an "answers and hints" section, are included. The book further provides a background and history of the subject.


Introduction to Differential Equations

Introduction to Differential Equations
Author: William E. Boyce
Publisher: John Wiley & Sons
Total Pages: 344
Release: 1970
Genre: Mathematics
ISBN:

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Introductory Differential Equations

Introductory Differential Equations
Author: Martha L. Abell
Publisher: Academic Press
Total Pages: 0
Release: 2014-07-22
Genre: Mathematics
ISBN: 9780124172197

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Introductory Differential Equations, Fourth Edition, offers both narrative explanations and robust sample problems for a first semester course in introductory ordinary differential equations (including Laplace transforms) and a second course in Fourier series and boundary value problems. The book provides the foundations to assist students in learning not only how to read and understand differential equations, but also how to read technical material in more advanced texts as they progress through their studies. This text is for courses that are typically called (Introductory) Differential Equations, (Introductory) Partial Differential Equations, Applied Mathematics, and Fourier Series. It follows a traditional approach and includes ancillaries like Differential Equations with Mathematica and/or Differential Equations with Maple. Because many students need a lot of pencil-and-paper practice to master the essential concepts, the exercise sets are particularly comprehensive with a wide array of exercises ranging from straightforward to challenging. There are also new applications and extended projects made relevant to everyday life through the use of examples in a broad range of contexts. This book will be of interest to undergraduates in math, biology, chemistry, economics, environmental sciences, physics, computer science and engineering.


Introduction to Linear Algebra and Differential Equations

Introduction to Linear Algebra and Differential Equations
Author: John W. Dettman
Publisher: Courier Corporation
Total Pages: 432
Release: 2012-10-05
Genre: Mathematics
ISBN: 0486158314

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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.


Differential Equations

Differential Equations
Author: H. S. Bear
Publisher: Courier Corporation
Total Pages: 226
Release: 2013-10-30
Genre: Mathematics
ISBN: 0486143643

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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.


Ordinary Differential Equations

Ordinary Differential Equations
Author: Morris Tenenbaum
Publisher: Courier Corporation
Total Pages: 852
Release: 1985-10-01
Genre: Mathematics
ISBN: 0486649407

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Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines the 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, more.


Introduction to Differential Equations with Dynamical Systems

Introduction to Differential Equations with Dynamical Systems
Author: Stephen L. Campbell
Publisher: Princeton University Press
Total Pages: 445
Release: 2011-10-14
Genre: Mathematics
ISBN: 1400841321

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Many textbooks on differential equations are written to be interesting to the teacher rather than the student. Introduction to Differential Equations with Dynamical Systems is directed toward students. This concise and up-to-date textbook addresses the challenges that undergraduate mathematics, engineering, and science students experience during a first course on differential equations. And, while covering all the standard parts of the subject, the book emphasizes linear constant coefficient equations and applications, including the topics essential to engineering students. Stephen Campbell and Richard Haberman--using carefully worded derivations, elementary explanations, and examples, exercises, and figures rather than theorems and proofs--have written a book that makes learning and teaching differential equations easier and more relevant. The book also presents elementary dynamical systems in a unique and flexible way that is suitable for all courses, regardless of length.


Ordinary Differential Equations and Stability Theory:

Ordinary Differential Equations and Stability Theory:
Author: David A. Sanchez
Publisher: Courier Dover Publications
Total Pages: 179
Release: 2019-09-18
Genre: Mathematics
ISBN: 0486837599

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This brief modern introduction to the subject of ordinary differential equations emphasizes stability theory. Concisely and lucidly expressed, it is intended as a supplementary text for advanced undergraduates or beginning graduate students who have completed a first course in ordinary differential equations. The author begins by developing the notions of a fundamental system of solutions, the Wronskian, and the corresponding fundamental matrix. Subsequent chapters explore the linear equation with constant coefficients, stability theory for autonomous and nonautonomous systems, and the problems of the existence and uniqueness of solutions and related topics. Problems at the end of each chapter and two Appendixes on special topics enrich the text.