A Friendly Introduction To Differential Equations

Author : Mohammed K A Kaabar
Publisher : CreateSpace Independent Publishing Platform
Page : 163 pages
File Size : 40,8 Mb
Release : 2015-01-05
Category : Mathematics
ISBN : 9781506004532

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A Friendly Introduction to Differential Equations by Mohammed K A Kaabar Pdf

In this book, there are five chapters: The Laplace Transform, Systems of Homogenous Linear Differential Equations (HLDE), Methods of First and Higher Orders Differential Equations, Extended Methods of First and Higher Orders Differential Equations, and Applications of Differential Equations. In addition, there are exercises at the end of each chapter above to let students practice additional sets of problems other than examples, and they can also check their solutions to some of these exercises by looking at "Answers to Odd-Numbered Exercises" section at the end of this book. This book is a very useful for college students who studied Calculus II, and other students who want to review some concepts of differential equations before studying courses such as partial differential equations, applied mathematics, and electric circuits II.

Author : Raymond M. Redheffer,Dan Port
Publisher : Jones & Bartlett Learning
Page : 494 pages
File Size : 41,5 Mb
Release : 1992
Category : Mathematics
ISBN : 0867202890

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Introduction to Differential Equations by Raymond M. Redheffer,Dan Port Pdf

Mathematics

Author : Michael E. Taylor
Publisher : American Mathematical Soc.
Page : 388 pages
File Size : 41,6 Mb
Release : 2021-10-21
Category : Education
ISBN : 9781470467623

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Introduction to Differential Equations: Second Edition by Michael E. Taylor Pdf

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 : Henry J. Ricardo
Publisher : Academic Press
Page : 535 pages
File Size : 55,7 Mb
Release : 2009-02-24
Category : Mathematics
ISBN : 9780080886039

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A Modern Introduction to Differential Equations by Henry J. Ricardo Pdf

A Modern Introduction to Differential Equations, Second Edition, provides an introduction to the basic concepts of differential equations. The book begins by introducing the basic concepts of differential equations, focusing on the analytical, graphical, and numerical aspects of first-order equations, including slope fields and phase lines. The discussions then cover methods of solving second-order homogeneous and nonhomogeneous linear equations with constant coefficients; systems of linear differential equations; the Laplace transform and its applications to the solution of differential equations and systems of differential equations; and systems of nonlinear equations. Each chapter concludes with a summary of the important concepts in the chapter. Figures and tables are provided within sections to help students visualize or summarize concepts. The book also includes examples and exercises drawn from biology, chemistry, and economics, as well as from traditional pure mathematics, physics, and engineering. This book is designed for undergraduate students majoring in mathematics, the natural sciences, and engineering. However, students in economics, business, and the social sciences with the necessary background will also find the text useful. Student friendly readability- assessible to the average student Early introduction of qualitative and numerical methods Large number of exercises taken from biology, chemistry, economics, physics and engineering Exercises are labeled depending on difficulty/sophistication End of chapter summaries Group projects

Author : Stanley J. Farlow
Publisher : Courier Corporation
Page : 642 pages
File Size : 55,9 Mb
Release : 2012-10-23
Category : Mathematics
ISBN : 9780486135137

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An Introduction to Differential Equations and Their Applications by Stanley J. Farlow Pdf

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.

Author : Ioan I. Vrabie
Publisher : World Scientific
Page : 424 pages
File Size : 47,6 Mb
Release : 2004
Category : Mathematics
ISBN : 9812388389

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Differential Equations by Ioan I. Vrabie Pdf

This book presents the main concepts and results of differential equations, and offers the reader another point of view concerning a possible way to approach the problems of existence, uniqueness, approximation, and continuation of the solutions to a Cauchy problem. In addition, it contains simple introductions to some topics which are not usually included in classical textbooks: the exponential formula, conservation laws, generalized solutions, Caratheodory solutions, differential inclusions, variational inequalities, viability, invariance, gradient systems.

Author : Carmen Chicone
Publisher : Springer Science & Business Media
Page : 563 pages
File Size : 55,9 Mb
Release : 2008-04-08
Category : Mathematics
ISBN : 9780387226231

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Ordinary Differential Equations with Applications by Carmen Chicone Pdf

Based on a one-year course taught by the author to graduates at the University of Missouri, this book provides a student-friendly account of some of the standard topics encountered in an introductory course of ordinary differential equations. In a second semester, these ideas can be expanded by introducing more advanced concepts and applications. A central theme in the book is the use of Implicit Function Theorem, while the latter sections of the book introduce the basic ideas of perturbation theory as applications of this Theorem. The book also contains material differing from standard treatments, for example, the Fiber Contraction Principle is used to prove the smoothness of functions that are obtained as fixed points of contractions. The ideas introduced in this section can be extended to infinite dimensions.

Author : Jane Cronin
Publisher : CRC Press
Page : 408 pages
File Size : 47,7 Mb
Release : 2007-12-14
Category : Mathematics
ISBN : 9781420014938

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Ordinary Differential Equations by Jane Cronin Pdf

Designed for a rigorous first course in ordinary differential equations, Ordinary Differential Equations: Introduction and Qualitative Theory, Third Edition includes basic material such as the existence and properties of solutions, linear equations, autonomous equations, and stability as well as more advanced topics in periodic solutions of

Author : Stephen La Vern Campbell
Publisher : PWS Publishing Company
Page : 618 pages
File Size : 52,9 Mb
Release : 1990
Category : Mathematics
ISBN : UOM:39015015326526

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An Introduction to Differential Equations and Their Applications by Stephen La Vern Campbell Pdf

Author : Albert L. Rabenstein
Publisher : Academic Press
Page : 444 pages
File Size : 52,6 Mb
Release : 2014-05-12
Category : Mathematics
ISBN : 9781483226224

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Introduction to Ordinary Differential Equations by Albert L. Rabenstein Pdf

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 : John W. Dettman
Publisher : Courier Corporation
Page : 432 pages
File Size : 51,7 Mb
Release : 2012-10-05
Category : Mathematics
ISBN : 9780486158310

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Introduction to Linear Algebra and Differential Equations by John W. Dettman Pdf

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 : Ioannis P Stavroulakis,Stepan A Tersian
Publisher : World Scientific Publishing Company
Page : 308 pages
File Size : 50,8 Mb
Release : 1999-12-13
Category : Differential equations, Partial
ISBN : 9789813105539

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Partial Differential Equations by Ioannis P Stavroulakis,Stepan A Tersian Pdf

This textbook is a self-contained introduction to partial differential equations. It is designed for undergraduate and first year graduate students who are mathematics, physics, engineering or, in general, science majors. The goal is to give an introduction to the basic equations of mathematical physics and the properties of their solutions, based on classical calculus and ordinary differential equations. Advanced concepts such as weak solutions and discontinuous solutions of nonlinear conservation laws are also considered. The material is illustrated with model examples. Mathematics software products such as Mathematica and Maple in ScientificWorkPlace are used in both graphical and computational aspects. Request Inspection Copy

Author : G. B. Folland
Publisher : Princeton University Press
Page : 344 pages
File Size : 44,6 Mb
Release : 1995-11-04
Category : Mathematics
ISBN : 0691043612

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Introduction to Partial Differential Equations by G. B. Folland Pdf

The aim of this text is to aquaint the student with the fundamental classical results of partial differential equations and to guide them into some of the modern theory, enabling them to read more advanced works on the subject.--Provided by publisher.

Author : Earl A. Coddington
Publisher : Courier Corporation
Page : 306 pages
File Size : 42,6 Mb
Release : 2012-04-20
Category : Mathematics
ISBN : 9780486131832

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An Introduction to Ordinary Differential Equations by Earl A. Coddington Pdf

A thorough, systematic first 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.

Author : Kenneth B. Howell
Publisher : CRC Press
Page : 907 pages
File Size : 41,9 Mb
Release : 2019-12-06
Category : Mathematics
ISBN : 9781000701951

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Ordinary Differential Equations by Kenneth B. Howell Pdf

The Second Edition of Ordinary Differential Equations: An Introduction to the Fundamentals builds on the successful First Edition. It is unique in its approach to motivation, precision, explanation and method. Its layered approach offers the instructor opportunity for greater flexibility in coverage and depth. Students will appreciate the author’s approach and engaging style. Reasoning behind concepts and computations motivates readers. New topics are introduced in an easily accessible manner before being further developed later. The author emphasizes a basic understanding of the principles as well as modeling, computation procedures and the use of technology. The students will further appreciate the guides for carrying out the lengthier computational procedures with illustrative examples integrated into the discussion. Features of the Second Edition: Emphasizes motivation, a basic understanding of the mathematics, modeling and use of technology A layered approach that allows for a flexible presentation based on instructor's preferences and students’ abilities An instructor’s guide suggesting how the text can be applied to different courses New chapters on more advanced numerical methods and systems (including the Runge-Kutta method and the numerical solution of second- and higher-order equations) Many additional exercises, including two "chapters" of review exercises for first- and higher-order differential equations An extensive on-line solution manual About the author: Kenneth B. Howell earned bachelor’s degrees in both mathematics and physics from Rose-Hulman Institute of Technology, and master’s and doctoral degrees in mathematics from Indiana University. For more than thirty years, he was a professor in the Department of Mathematical Sciences of the University of Alabama in Huntsville. Dr. Howell published numerous research articles in applied and theoretical mathematics in prestigious journals, served as a consulting research scientist for various companies and federal agencies in the space and defense industries, and received awards from the College and University for outstanding teaching. He is also the author of Principles of Fourier Analysis, Second Edition (Chapman & Hall/CRC, 2016).