Share

Differential Equations: From Calculus to Dynamical Systems: Second Edition

2020-08-28 Education
Download Differential Equations: From Calculus to Dynamical Systems: Second Edition PDF Online Free

Author :
Release : 2020-08-28
Genre : Education
Kind : eBook
Book Rating : 296/5 ( reviews)

GET EBOOK


Book Synopsis Differential Equations: From Calculus to Dynamical Systems: Second Edition by : Virginia W. Noonburg

Download or read book Differential Equations: From Calculus to Dynamical Systems: Second Edition written by Virginia W. Noonburg. This book was released on 2020-08-28. Available in PDF, EPUB and Kindle. Book excerpt: A thoroughly modern textbook for the sophomore-level differential equations course. The examples and exercises emphasize modeling not only in engineering and physics but also in applied mathematics and biology. There is an early introduction to numerical methods and, throughout, a strong emphasis on the qualitative viewpoint of dynamical systems. Bifurcations and analysis of parameter variation is a persistent theme. Presuming previous exposure to only two semesters of calculus, necessary linear algebra is developed as needed. The exposition is very clear and inviting. The book would serve well for use in a flipped-classroom pedagogical approach or for self-study for an advanced undergraduate or beginning graduate student. This second edition of Noonburg's best-selling textbook includes two new chapters on partial differential equations, making the book usable for a two-semester sequence in differential equations. It includes exercises, examples, and extensive student projects taken from the current mathematical and scientific literature.

Differential Equations: From Calculus to Dynamical Systems: Second Edition

2019-01-24 Differential equations
Download Differential Equations: From Calculus to Dynamical Systems: Second Edition PDF Online Free

Author :
Release : 2019-01-24
Genre : Differential equations
Kind : eBook
Book Rating : 003/5 ( reviews)

GET EBOOK


Book Synopsis Differential Equations: From Calculus to Dynamical Systems: Second Edition by : Virginia W. Noonburg

Download or read book Differential Equations: From Calculus to Dynamical Systems: Second Edition written by Virginia W. Noonburg. This book was released on 2019-01-24. Available in PDF, EPUB and Kindle. Book excerpt: A thoroughly modern textbook for the sophomore-level differential equations course. The examples and exercises emphasize modeling not only in engineering and physics but also in applied mathematics and biology. There is an early introduction to numerical methods and, throughout, a strong emphasis on the qualitative viewpoint of dynamical systems. Bifurcations and analysis of parameter variation is a persistent theme. Presuming previous exposure to only two semesters of calculus, necessary linear algebra is developed as needed. The exposition is very clear and inviting. The book would serve well for use in a flipped-classroom pedagogical approach or for self-study for an advanced undergraduate or beginning graduate student. This second edition of Noonburg's best-selling textbook includes two new chapters on partial differential equations, making the book usable for a two-semester sequence in differential equations. It includes exercises, examples, and extensive student projects taken from the current mathematical and scientific literature.

Ordinary Differential Equations

2015-08-20 Mathematics
Download Ordinary Differential Equations PDF Online Free

Author :
Release : 2015-08-20
Genre : Mathematics
Kind : eBook
Book Rating : 048/5 ( reviews)

GET EBOOK


Book Synopsis Ordinary Differential Equations by : Virginia W. Noonburg

Download or read book Ordinary Differential Equations written by Virginia W. Noonburg. This book was released on 2015-08-20. Available in PDF, EPUB and Kindle. Book excerpt: Techniques for studying ordinary differential equations (ODEs) have become part of the required toolkit for students in the applied sciences. This book presents a modern treatment of the material found in a first undergraduate course in ODEs. Standard analytical methods for first- and second-order equations are covered first, followed by numerical and graphical methods, and bifurcation theory. Higher dimensional theory follows next via a study of linear systems of first-order equations, including background material in matrix algebra. A phase plane analysis of two-dimensional nonlinear systems is a highlight, while an introduction to dynamical systems and an extension of bifurcation theory to cover systems of equations will be of particular interest to biologists. With an emphasis on real-world problems, this book is an ideal basis for an undergraduate course in engineering and applied sciences such as biology, or as a refresher for beginning graduate students in these areas.

Ordinary Differential Equations and Dynamical Systems

2012-08-30 Mathematics
Download Ordinary Differential Equations and Dynamical Systems PDF Online Free

Author :
Release : 2012-08-30
Genre : Mathematics
Kind : eBook
Book Rating : 283/5 ( reviews)

GET EBOOK


Book Synopsis Ordinary Differential Equations and Dynamical Systems by : Gerald Teschl

Download or read book Ordinary Differential Equations and Dynamical Systems written by Gerald Teschl. This book was released on 2012-08-30. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a self-contained introduction to ordinary differential equations and dynamical systems suitable for beginning graduate students. The first part begins with some simple examples of explicitly solvable equations and a first glance at qualitative methods. Then the fundamental results concerning the initial value problem are proved: existence, uniqueness, extensibility, dependence on initial conditions. Furthermore, linear equations are considered, including the Floquet theorem, and some perturbation results. As somewhat independent topics, the Frobenius method for linear equations in the complex domain is established and Sturm-Liouville boundary value problems, including oscillation theory, are investigated. The second part introduces the concept of a dynamical system. The Poincare-Bendixson theorem is proved, and several examples of planar systems from classical mechanics, ecology, and electrical engineering are investigated. Moreover, attractors, Hamiltonian systems, the KAM theorem, and periodic solutions are discussed. Finally, stability is studied, including the stable manifold and the Hartman-Grobman theorem for both continuous and discrete systems. The third part introduces chaos, beginning with the basics for iterated interval maps and ending with the Smale-Birkhoff theorem and the Melnikov method for homoclinic orbits. The text contains almost three hundred exercises. Additionally, the use of mathematical software systems is incorporated throughout, showing how they can help in the study of differential equations.

Differential Equations, Dynamical Systems, and an Introduction to Chaos

2004 Business & Economics
Download Differential Equations, Dynamical Systems, and an Introduction to Chaos PDF Online Free

Author :
Release : 2004
Genre : Business & Economics
Kind : eBook
Book Rating : 035/5 ( reviews)

GET EBOOK


Book Synopsis Differential Equations, Dynamical Systems, and an Introduction to Chaos by : Morris W. Hirsch

Download or read book Differential Equations, Dynamical Systems, and an Introduction to Chaos written by Morris W. Hirsch. This book was released on 2004. Available in PDF, EPUB and Kindle. Book excerpt: Thirty years in the making, this revised text by three of the world's leading mathematicians covers the dynamical aspects of ordinary differential equations. it explores the relations between dynamical systems and certain fields outside pure mathematics, and has become the standard textbook for graduate courses in this area. The Second Edition now brings students to the brink of contemporary research, starting from a background that includes only calculus and elementary linear algebra. The authors are tops in the field of advanced mathematics, including Steve Smale who is a recipient of.

You may also like...