Introduction to Dynamics (Paperback)

I.C. Percival

ISBN 10: 0521281490 / ISBN 13: 9780521281492

Editore: Cambridge University Press, Cambridge, 1982

Paperback. Recent advances in dynamics, with wide applications throughout the sciences and engineering, have meant that a new approach to the subject is needed. Furthermore, the mathematical and scientific background of students has changed in recent years. In this book, the subject of dynamics is introduced at undergraduate level through the elementary qualitative theory of differential equations, the geometry of phrase curves and the theory of stability. Each subject, from the most elementary topic to some important discoveries of recent decades, is introduced through simple examples and illustrated with many diagrams. The text is supplemented with over a hundred exercises. The examples and exercises cover subjects as diverse as mechanics and population dynamics. The mathematical background required of the reader is an understanding of the elementary theory of differential equations and matrix arithmetic. The book will be of interest to second-year and third-year undergraduates at universities, polytechnics and technical colleges who are studying science and engineering courses. It is also suitable for graduates and research workers in such fields as plasma, atomic, particle and molecular physics, astronomy and theoretical ecology. In this book, the subject of dynamics is introduced at undergraduate level through the elementary qualitative theory of differential equations, the geometry of phase curves and the theory of stability. The text is supplemented with over a hundred exercises. This item is printed on demand. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Codice articolo 9780521281492

Riassunto:

Recent advances in dynamics, with wide applications throughout the sciences and engineering, have meant that a new approach to the subject is needed. Furthermore, the mathematical and scientific background of students has changed in recent years. In this book, the subject of dynamics is introduced at undergraduate level through the elementary qualitative theory of differential equations, the geometry of phrase curves and the theory of stability. Each subject, from the most elementary topic to some important discoveries of recent decades, is introduced through simple examples and illustrated with many diagrams. The text is supplemented with over a hundred exercises. The examples and exercises cover subjects as diverse as mechanics and population dynamics. The mathematical background required of the reader is an understanding of the elementary theory of differential equations and matrix arithmetic. The book will be of interest to second-year and third-year undergraduates at universities, polytechnics and technical colleges who are studying science and engineering courses. It is also suitable for graduates and research workers in such fields as plasma, atomic, particle and molecular physics, astronomy and theoretical ecology.

Recensione: 'Percival and Richards give a beautifully clear introduction to dynamics, discussing why scientists should be interested in the stability properties of their equations, and explaining the terminology.' Nature

'The authors of this splendid textbook have made a commendable effort to introduce the geometric and qualitative aspects of dynamics at an undergraduate level ... an exciting, well-organised book with many illuminating worked examples. A course based on this book would be a pleasure to teach. It should be greatly appreciated by physicists and engineers, and might help bring applied mathematics forward into the nineteenth century.' The Times Higher Education Supplement

Dati bibliografici

Titolo: Introduction to Dynamics (Paperback)
Casa editrice: Cambridge University Press, Cambridge
Data di pubblicazione: 1982
Legatura: Paperback
Condizione: new