Share

Ordinary Differential Equations: Basics and Beyond

2016-11-10 Mathematics
Download Ordinary Differential Equations: Basics and Beyond PDF Online Free

Author :
Release : 2016-11-10
Genre : Mathematics
Kind : eBook
Book Rating : 899/5 ( reviews)

GET EBOOK


Book Synopsis Ordinary Differential Equations: Basics and Beyond by : David G. Schaeffer

Download or read book Ordinary Differential Equations: Basics and Beyond written by David G. Schaeffer. This book was released on 2016-11-10. Available in PDF, EPUB and Kindle. Book excerpt: 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).

An Introduction to Ordinary Differential Equations

2008-12-10 Mathematics
Download An Introduction to Ordinary Differential Equations PDF Online Free

Author :
Release : 2008-12-10
Genre : Mathematics
Kind : eBook
Book Rating : 763/5 ( reviews)

GET EBOOK


Book Synopsis An Introduction to Ordinary Differential Equations by : Ravi P. Agarwal

Download or read book An Introduction to Ordinary Differential Equations written by Ravi P. Agarwal. This book was released on 2008-12-10. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Ordinary Differential Equations

2012-07-01 Mathematics
Download Ordinary Differential Equations PDF Online Free

Author :
Release : 2012-07-01
Genre : Mathematics
Kind : eBook
Book Rating : 184/5 ( reviews)

GET EBOOK


Book Synopsis Ordinary Differential Equations by : William A. Adkins

Download or read book Ordinary Differential Equations written by William A. Adkins. This book was released on 2012-07-01. Available in PDF, EPUB and Kindle. Book excerpt: Unlike most texts in differential equations, this textbook gives an early presentation of the Laplace transform, which is then used to motivate and develop many of the remaining differential equation concepts for which it is particularly well suited. For example, the standard solution methods for constant coefficient linear differential equations are immediate and simplified, and solution methods for constant coefficient systems are streamlined. By introducing the Laplace transform early in the text, students become proficient in its use while at the same time learning the standard topics in differential equations. The text also includes proofs of several important theorems that are not usually given in introductory texts. These include a proof of the injectivity of the Laplace transform and a proof of the existence and uniqueness theorem for linear constant coefficient differential equations. Along with its unique traits, this text contains all the topics needed for a standard three- or four-hour, sophomore-level differential equations course for students majoring in science or engineering. These topics include: first order differential equations, general linear differential equations with constant coefficients, second order linear differential equations with variable coefficients, power series methods, and linear systems of differential equations. It is assumed that the reader has had the equivalent of a one-year course in college calculus.

Basic Partial Differential Equations

2018-01-18 Mathematics
Download Basic Partial Differential Equations PDF Online Free

Author :
Release : 2018-01-18
Genre : Mathematics
Kind : eBook
Book Rating : 987/5 ( reviews)

GET EBOOK


Book Synopsis Basic Partial Differential Equations by : David. Bleecker

Download or read book Basic Partial Differential Equations written by David. Bleecker. This book was released on 2018-01-18. Available in PDF, EPUB and Kindle. Book excerpt: Methods of solution for partial differential equations (PDEs) used in mathematics, science, and engineering are clarified in this self-contained source. The reader will learn how to use PDEs to predict system behaviour from an initial state of the system and from external influences, and enhance the success of endeavours involving reasonably smooth, predictable changes of measurable quantities. This text enables the reader to not only find solutions of many PDEs, but also to interpret and use these solutions. It offers 6000 exercises ranging from routine to challenging. The palatable, motivated proofs enhance understanding and retention of the material. Topics not usually found in books at this level include but examined in this text: the application of linear and nonlinear first-order PDEs to the evolution of population densities and to traffic shocks convergence of numerical solutions of PDEs and implementation on a computer convergence of Laplace series on spheres quantum mechanics of the hydrogen atom solving PDEs on manifolds The text requires some knowledge of calculus but none on differential equations or linear algebra.

Theory and Examples of Ordinary Differential Equations

2011 Mathematics
Download Theory and Examples of Ordinary Differential Equations PDF Online Free

Author :
Release : 2011
Genre : Mathematics
Kind : eBook
Book Rating : 122/5 ( reviews)

GET EBOOK


Book Synopsis Theory and Examples of Ordinary Differential Equations by : Chin-Yuan Lin

Download or read book Theory and Examples of Ordinary Differential Equations written by Chin-Yuan Lin. This book was released on 2011. Available in PDF, EPUB and Kindle. Book excerpt: 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.

You may also like...