Introductory Differential Equations
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| Author | : Albert L. Rabenstein |
| Publisher | : Academic Press |
| Total Pages | : 444 |
| Release | : 2014-05-12 |
| Genre | : Mathematics |
| ISBN | : 1483226220 |
Introduction to Ordinary Differential Equations is a 12-chapter text that describes useful elementary methods of finding solutions using ordinary differential equations. This book starts with an introduction to the properties and complex variable of linear differential equations. Considerable chapters covered topics that are of particular interest in applications, including Laplace transforms, eigenvalue problems, special functions, Fourier series, and boundary-value problems of mathematical physics. Other chapters are devoted to some topics that are not directly concerned with finding solutions, and that should be of interest to the mathematics major, such as the theorems about the existence and uniqueness of solutions. The final chapters discuss the stability of critical points of plane autonomous systems and the results about the existence of periodic solutions of nonlinear equations. This book is great use to mathematicians, physicists, and undergraduate students of engineering and the science who are interested in applications of differential equation.
| Author | : William E. Boyce |
| Publisher | : John Wiley & Sons |
| Total Pages | : 344 |
| Release | : 1970 |
| Genre | : Mathematics |
| ISBN | : |
| Author | : Michael E. Taylor |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 388 |
| Release | : 2021-10-21 |
| Genre | : Education |
| ISBN | : 1470467623 |
This text introduces students to the theory and practice of differential equations, which are fundamental to the mathematical formulation of problems in physics, chemistry, biology, economics, and other sciences. The book is ideally suited for undergraduate or beginning graduate students in mathematics, and will also be useful for students in the physical sciences and engineering who have already taken a three-course calculus sequence. This second edition incorporates much new material, including sections on the Laplace transform and the matrix Laplace transform, a section devoted to Bessel's equation, and sections on applications of variational methods to geodesics and to rigid body motion. There is also a more complete treatment of the Runge-Kutta scheme, as well as numerous additions and improvements to the original text. Students finishing this book will be well prepare
| Author | : Morris Tenenbaum |
| Publisher | : Courier Corporation |
| Total Pages | : 852 |
| Release | : 1985-10-01 |
| Genre | : Mathematics |
| ISBN | : 0486649407 |
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.
| Author | : E. C. Zachmanoglou |
| Publisher | : Courier Corporation |
| Total Pages | : 434 |
| Release | : 2012-04-20 |
| Genre | : Mathematics |
| ISBN | : 048613217X |
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.
| Author | : Stephen L. Campbell |
| Publisher | : Princeton University Press |
| Total Pages | : 445 |
| Release | : 2011-10-14 |
| Genre | : Mathematics |
| ISBN | : 1400841321 |
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.
| Author | : John W. Dettman |
| Publisher | : Courier Corporation |
| Total Pages | : 442 |
| Release | : 2012-10-05 |
| Genre | : Mathematics |
| ISBN | : 0486158314 |
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.
| Author | : David A. Sanchez |
| Publisher | : Courier Dover Publications |
| Total Pages | : 179 |
| Release | : 2019-09-18 |
| Genre | : Mathematics |
| ISBN | : 0486837599 |
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.
| Author | : Clay C. Ross |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 445 |
| Release | : 2013-03-09 |
| Genre | : Mathematics |
| ISBN | : 1475739494 |
The first edition (94301-3) was published in 1995 in TIMS and had 2264 regular US sales, 928 IC, and 679 bulk. This new edition updates the text to Mathematica 5.0 and offers a more extensive treatment of linear algebra. It has been thoroughly revised and corrected throughout.
| Author | : Stanley J. Farlow |
| Publisher | : Courier Corporation |
| Total Pages | : 642 |
| Release | : 2012-10-23 |
| Genre | : Mathematics |
| ISBN | : 0486135136 |
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.
