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The Qualitative Theory of Ordinary Differential Equations: An Introduction (Dover Books on Mathema 1.4tics) - Softcover

 
9780486658469: The Qualitative Theory of Ordinary Differential Equations: An Introduction (Dover Books on Mathema 1.4tics)

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Superb, self-contained graduate-level text covers standard theorems concerning linear systems, existence and uniqueness of solutions, and dependence on parameters. Major focus on stability theory and its applications to oscillation phenomena, self-excited oscillations and regulator problem of Lurie. Bibliography. Exercises.

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About the Author

Fred Brauer is a Professor Emeritus at the University of Wisconsin, Madison and an Honorary Professor at the University of British Columbia.

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  • PublisherDover Publications Inc.
  • Publication date2003
  • ISBN 10 0486658465
  • ISBN 13 9780486658469
  • BindingPaperback
  • LanguageEnglish
  • Number of pages320

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Published by Dover Publications, 1989
ISBN 10: 0486658465 ISBN 13: 9780486658469
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Brauer, Fred; Nohel, John A.; Mathematics
Published by Dover Publications, 1989
ISBN 10: 0486658465 ISBN 13: 9780486658469
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Brauer, Fred; Nohel, John A.; Mathematics
Published by Dover Publications, 1989
ISBN 10: 0486658465 ISBN 13: 9780486658469
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Paperback. Condition: Good. No Jacket. Former library book; Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less 0.8. Seller Inventory # G0486658465I3N10

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ISBN 10: 0486658465 ISBN 13: 9780486658469
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Brauer, Fred; Nohel, John A.
Published by Dover Publications, 1989
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Paperback. Condition: new. Paperback. 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. "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. 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. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780486658469

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