Introduction To Theory Of Ordinary Differential Equation PDF Download
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| Author | : David A. Sanchez |
| Publisher | : Courier Dover Publications |
| Total Pages | : 179 |
| Release | : 2019-09-18 |
| Genre | : Mathematics |
| ISBN | : 0486837599 |
Download Ordinary Differential Equations and Stability Theory: Book in PDF, ePub and Kindle
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 | : Fred Brauer |
| Publisher | : Courier Corporation |
| Total Pages | : 325 |
| Release | : 2012-12-11 |
| Genre | : Mathematics |
| ISBN | : 0486151514 |
Download The Qualitative Theory of Ordinary Differential Equations Book in PDF, ePub and Kindle
Superb, self-contained graduate-level text covers standard theorems concerning linear systems, existence and uniqueness of solutions, and dependence on parameters. Focuses on stability theory and its applications to oscillation phenomena, self-excited oscillations, more. Includes exercises.
| Author | : V. DHARMAIAH |
| Publisher | : PHI Learning Pvt. Ltd. |
| Total Pages | : 403 |
| Release | : 2012-09-19 |
| Genre | : Mathematics |
| ISBN | : 8120346661 |
Download INTRODUCTION TO THEORY OF ORDINARY DIFFERENTIAL EQUATION Book in PDF, ePub and Kindle
This systematically-organized text on the theory of differential equations deals with the basic concepts and the methods of solving ordinary differential equations. Various existence theorems, properties of uniqueness, oscillation and stability theories, have all been explained with suitable examples to enhance students’ understanding of the subject. The book also discusses in sufficient detail the qualitative, the quantitative, and the approximation techniques, linear equations with variable and constants coefficients, regular singular points, and homogeneous equations with analytic coefficients. Finally, it explains Riccati equation, boundary value problems, the Sturm–Liouville problem, Green’s function, the Picard’s theorem, and the Sturm–Picone theorem. The text is supported by a number of worked-out examples to make the concepts clear, and it also provides a number of exercises help students test their knowledge and improve their skills in solving differential equations. The book is intended to serve as a text for the postgraduate students of mathematics and applied mathematics. It will also be useful to the candidates preparing to sit for the competitive examinations such as NET and GATE.
| Author | : Ravi P. Agarwal |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 333 |
| Release | : 2008-12-10 |
| Genre | : Mathematics |
| ISBN | : 0387712763 |
Download An Introduction to Ordinary Differential Equations Book in PDF, ePub and Kindle
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.
| Author | : J. Chazarain |
| Publisher | : Elsevier |
| Total Pages | : 575 |
| Release | : 2011-08-18 |
| Genre | : Computers |
| ISBN | : 0080875351 |
Download Introduction to the Theory of Linear Partial Differential Equations Book in PDF, ePub and Kindle
Introduction to the Theory of Linear Partial Differential Equations
| Author | : Kenneth B. Howell |
| Publisher | : CRC Press |
| Total Pages | : 907 |
| Release | : 2019-12-06 |
| Genre | : Mathematics |
| ISBN | : 1000701956 |
Download Ordinary Differential Equations Book in PDF, ePub and Kindle
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).
| Author | : Luis Barreira |
| Publisher | : American Mathematical Society |
| Total Pages | : 264 |
| Release | : 2023-05-17 |
| Genre | : Mathematics |
| ISBN | : 1470473860 |
Download Ordinary Differential Equations Book in PDF, ePub and Kindle
This textbook provides a comprehensive introduction to the qualitative theory of ordinary differential equations. It includes a discussion of the existence and uniqueness of solutions, phase portraits, linear equations, stability theory, hyperbolicity and equations in the plane. The emphasis is primarily on results and methods that allow one to analyze qualitative properties of the solutions without solving the equations explicitly. The text includes numerous examples that illustrate in detail the new concepts and results as well as exercises at the end of each chapter. The book is also intended to serve as a bridge to important topics that are often left out of a course on ordinary differential equations. In particular, it provides brief introductions to bifurcation theory, center manifolds, normal forms and Hamiltonian systems.
| Author | : David G. Schaeffer |
| Publisher | : Springer |
| Total Pages | : 565 |
| Release | : 2016-11-10 |
| Genre | : Mathematics |
| ISBN | : 1493963899 |
Download Ordinary Differential Equations: Basics and Beyond Book in PDF, ePub and Kindle
This book develops the theory of ordinary differential equations (ODEs), starting from an introductory level (with no prior experience in ODEs assumed) through to a graduate-level treatment of the qualitative theory, including bifurcation theory (but not chaos). While proofs are rigorous, the exposition is reader-friendly, aiming for the informality of face-to-face interactions. A unique feature of this book is the integration of rigorous theory with numerous applications of scientific interest. Besides providing motivation, this synthesis clarifies the theory and enhances scientific literacy. Other features include: (i) a wealth of exercises at various levels, along with commentary that explains why they matter; (ii) figures with consistent color conventions to identify nullclines, periodic orbits, stable and unstable manifolds; and (iii) a dedicated website with software templates, problem solutions, and other resources supporting the text (www.math.duke.edu/ode-book). Given its many applications, the book may be used comfortably in science and engineering courses as well as in mathematics courses. Its level is accessible to upper-level undergraduates but still appropriate for graduate students. The thoughtful presentation, which anticipates many confusions of beginning students, makes the book suitable for a teaching environment that emphasizes self-directed, active learning (including the so-called inverted classroom).
| Author | : Albert L. Rabenstein |
| Publisher | : Academic Press |
| Total Pages | : 444 |
| Release | : 2014-05-12 |
| Genre | : Mathematics |
| ISBN | : 1483226220 |
Download Introduction to Ordinary Differential Equations Book in PDF, ePub and Kindle
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 | : J. Kurzweil |
| Publisher | : Elsevier |
| Total Pages | : 441 |
| Release | : 2014-06-28 |
| Genre | : Mathematics |
| ISBN | : 1483297659 |
Download Ordinary Differential Equations Book in PDF, ePub and Kindle
The author, Professor Kurzweil, is one of the world's top experts in the area of ordinary differential equations - a fact fully reflected in this book. Unlike many classical texts which concentrate primarily on methods of integration of differential equations, this book pursues a modern approach: the topic is discussed in full generality which, at the same time, permits us to gain a deep insight into the theory and to develop a fruitful intuition. The basic framework of the theory is expanded by considering further important topics like stability, dependence of a solution on a parameter, Carathéodory's theory and differential relations.The book is very well written, and the prerequisites needed are minimal - some basics of analysis and linear algebra. As such, it is accessible to a wide circle of readers, in particular to non-mathematicians.
