Description: Qualitative Theory of Ordinary Differential Equations : An Introduction, Paperback by Brauer, Fred; Nohel, John A., ISBN 0486658465, ISBN-13 9780486658469, Brand New, Free shipping in the US "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 th, 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, th 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.
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Book Title: Qualitative Theory of Ordinary Differential Equations : An Introd
Number of Pages: 320 Pages
Language: English
Publication Name: Qualitative Theory of Ordinary Differential Equations : an Introduction
Publisher: Dover Publications, Incorporated
Publication Year: 1989
Subject: Differential Equations / General
Item Height: 0.7 in
Features: New Edition
Type: Textbook
Item Weight: 12.2 Oz
Subject Area: Mathematics
Author: John A. Nohel, Fred Brauer
Item Length: 8.5 in
Series: Dover Books on Mathematics Ser.
Item Width: 5.4 in
Format: Trade Paperback