Theory And Examples Of Ordinary Differential Equations PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Theory And Examples Of Ordinary Differential Equations PDF full book. Access full book title Theory And Examples Of Ordinary Differential Equations.
| Author | : Chin-Yuan Lin |
| Publisher | : World Scientific |
| Total Pages | : 555 |
| Release | : 2011 |
| Genre | : Mathematics |
| ISBN | : 9814307122 |
Download Theory and Examples of Ordinary Differential Equations Book in PDF, ePub and Kindle
This book presents a complete theory of ordinary differential equations, with many illustrative examples and interesting exercises. A rigorous treatment is offered in this book with clear proofs for the theoretical results and with detailed solutions for the examples and problems. This book is intended for undergraduate students who major in mathematics and have acquired a prerequisite knowledge of calculus and partly the knowledge of a complex variable, and are now reading advanced calculus and linear algebra. Additionally, the comprehensive coverage of the theory with a wide array of examples and detailed solutions, would appeal to mathematics graduate students and researchers as well as graduate students in majors of other disciplines. As a handy reference, advanced knowledge is provided in this book with details developed beyond the basics; optional sections, where main results are extended, offer an understanding of further applications of ordinary differential equations.
| 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 | : Po-Fang Hsieh |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 480 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461215064 |
Download Basic Theory of Ordinary Differential Equations Book in PDF, ePub and Kindle
Providing readers with the very basic knowledge necessary to begin research on differential equations with professional ability, the selection of topics here covers the methods and results that are applicable in a variety of different fields. The book is divided into four parts. The first covers fundamental existence, uniqueness, smoothness with respect to data, and nonuniqueness. The second part describes the basic results concerning linear differential equations, while the third deals with nonlinear equations. In the last part the authors write about the basic results concerning power series solutions. Each chapter begins with a brief discussion of its contents and history, and hints and comments for many problems are given throughout. With 114 illustrations and 206 exercises, the book is suitable for a one-year graduate course, as well as a reference book for research mathematicians.
| Author | : Morris Tenenbaum |
| Publisher | : Courier Corporation |
| Total Pages | : 852 |
| Release | : 1985-10-01 |
| Genre | : Mathematics |
| ISBN | : 0486649407 |
Download Ordinary Differential Equations Book in PDF, ePub and Kindle
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 | : Fred Brauer |
| Publisher | : Courier Corporation |
| Total Pages | : 340 |
| Release | : 1989-01-01 |
| Genre | : Mathematics |
| ISBN | : 9780486658469 |
Download The Qualitative Theory of Ordinary Differential Equations Book in PDF, ePub and Kindle
"This is a very good book ... with many well-chosen examples and illustrations." — American Mathematical Monthly This highly regarded text presents a self-contained introduction to some important aspects of modern qualitative theory for ordinary differential equations. It is accessible to any student of physical sciences, mathematics or engineering who has a good knowledge of calculus and of the elements of linear algebra. In addition, algebraic results are stated as needed; the less familiar ones are proved either in the text or in appendixes. The topics covered in the first three chapters are the standard theorems concerning linear systems, existence and uniqueness of solutions, and dependence on parameters. The next three chapters, the heart of the book, deal with stability theory and some applications, such as oscillation phenomena, self-excited oscillations and the regulator problem of Lurie. One of the special features of this work is its abundance of exercises-routine computations, completions of mathematical arguments, extensions of theorems and applications to physical problems. Moreover, they are found in the body of the text where they naturally occur, offering students substantial aid in understanding the ideas and concepts discussed. The level is intended for students ranging from juniors to first-year graduate students in mathematics, physics or engineering; however, the book is also ideal for a one-semester undergraduate course in ordinary differential equations, or for engineers in need of a course in state space methods.
| Author | : Walter G. Kelley |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 432 |
| Release | : 2010-04-22 |
| Genre | : Mathematics |
| ISBN | : 1441957820 |
Download The Theory of Differential Equations Book in PDF, ePub and Kindle
For over 300 years, differential equations have served as an essential tool for describing and analyzing problems in many scientific disciplines. This carefully-written textbook provides an introduction to many of the important topics associated with ordinary differential equations. Unlike most textbooks on the subject, this text includes nonstandard topics such as perturbation methods and differential equations and Mathematica. In addition to the nonstandard topics, this text also contains contemporary material in the area as well as its classical topics. This second edition is updated to be compatible with Mathematica, version 7.0. It also provides 81 additional exercises, a new section in Chapter 1 on the generalized logistic equation, an additional theorem in Chapter 2 concerning fundamental matrices, and many more other enhancements to the first edition. This book can be used either for a second course in ordinary differential equations or as an introductory course for well-prepared students. The prerequisites for this book are three semesters of calculus and a course in linear algebra, although the needed concepts from linear algebra are introduced along with examples in the book. An undergraduate course in analysis is needed for the more theoretical subjects covered in the final two chapters.
| 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 | : David A. Sanchez |
| Publisher | : Courier Dover Publications |
| Total Pages | : 179 |
| Release | : 2019-09-18 |
| Genre | : Mathematics |
| ISBN | : 0486843866 |
Download Ordinary Differential Equations and Stability Theory Book in PDF, ePub and Kindle
This brief modern introduction to ordinary differential equations emphasizes stability theory. Concisely and lucidly expressed, it is intended as a supplementary text for advanced undergraduates or beginning graduate students. 1968 edition.
| Author | : Robert Mattheij |
| Publisher | : SIAM |
| Total Pages | : 423 |
| Release | : 1996-01-01 |
| Genre | : Mathematics |
| ISBN | : 9780898719178 |
Download Ordinary Differential Equations in Theory and Practice Book in PDF, ePub and Kindle
In order to emphasize the relationships and cohesion between analytical and numerical techniques, Ordinary Differential Equations in Theory and Practice presents a comprehensive and integrated treatment of both aspects in combination with the modeling of relevant problem classes. This text is uniquely geared to provide enough insight into qualitative aspects of ordinary differential equations (ODEs) to offer a thorough account of quantitative methods for approximating solutions numerically, and to acquaint the reader with mathematical modeling, where such ODEs often play a significant role. Although originally published in 1995, the text remains timely and useful to a wide audience. It provides a thorough introduction to ODEs, since it treats not only standard aspects such as existence, uniqueness, stability, one-step methods, multistep methods, and singular perturbations, but also chaotic systems, differential-algebraic systems, and boundary value problems. The authors aim to show the use of ODEs in real life problems, so there is an extended chapter in which illustrative examples from various fields are presented. A chapter on classical mechanics makes the book self-contained. Audience: the book is intended for use as a textbook for both undergraduate and graduate courses, and it can also serve as a reference for students and researchers alike.
| Author | : L Dresner |
| Publisher | : CRC Press |
| Total Pages | : 242 |
| Release | : 1998-01-01 |
| Genre | : Science |
| ISBN | : 9781420050783 |
Download Applications of Lie's Theory of Ordinary and Partial Differential Equations Book in PDF, ePub and Kindle
Lie's group theory of differential equations unifies the many ad hoc methods known for solving differential equations and provides powerful new ways to find solutions. The theory has applications to both ordinary and partial differential equations and is not restricted to linear equations. Applications of Lie's Theory of Ordinary and Partial Differential Equations provides a concise, simple introduction to the application of Lie's theory to the solution of differential equations. The author emphasizes clarity and immediacy of understanding rather than encyclopedic completeness, rigor, and generality. This enables readers to quickly grasp the essentials and start applying the methods to find solutions. The book includes worked examples and problems from a wide range of scientific and engineering fields.
