Differential Equations: A Dynamical Systems Approach: Ordinary Differential Equations: 5 - Brossura

Hubbard, John H.; West, Beverly H.

Brossura

ISBN 10: 1461269520 ISBN 13: 9781461269526

Casa editrice: Springer, 2013

Riassunto

This is a corrected third printing of the first part of the text Differential Equations: A Dynamical Systems Approach written by John Hubbard and Beverly West. The authors' main emphasis in this book is on ordinary differential equations. This book is most appropriate for upper level undergraduate and graduate students in the fields of mathematics, engineering, applied mathematics, as well as the life sciences, physics and economics.

Su questo libro

Recensione

.H. Hubbard and B.H. West

Differential Equations: A Dynamical Systems Approach

"As attention has moved from idealized linear differential equations to the nonlinear equations of the real world, there has been a concomitant change of emphasis, even a paradigm shift, from quantitative methods, analytical and numerical, to qualitative methods. Though qualitative methods originated with Poincaré (Poincare) early in this century, the era of large-scale computation and computer graphics has spurred development through a profound confluence of theory and experiment. Hubbard and West demonstrate convincingly that it is feasible and necessary to incorporate this sophisticated viewpoint into the most elementary stages of differential equations pedagogy, even where the focus is still on linear equations. This is an unusual book in being both rigorous and squarely addressed to those students with the most practical needs. The well known exchange value between pictures and words is thoroughly exploited to ground fundamental concepts."―CHOICE

Contenuti

Contents Series Preface for Texts in Applied Mathematics Preface Acknowledgments Ways to Use This Book Introduction Chapter 1 Qualitative Methods 1.1 Fields of Slopes and Sketching of Solutions 1.2 Qualitative Description of Solutions 1.3 Fences 1.4 Funnels and Antifunnels 1.5 The Use of Fences, Funnels, and Antifunnels Exercises Chapter 2 Analystic Methods 2.1 Separation of Variables 2.2 Linear Differential Equations of First Order 2.3 Variation of Parameters 2.4 Bank Accounts and Linear Differential Equations

Dettagli dell'edizione

• Editore: Springer
• Data di pubblicazione: 2013
• Lingua: Inglese
• ISBN 10: 1461269520
• ISBN 13: 9781461269526
• Rilegatura: Copertina flessibile
• Numero di pagine: 376
• Contatto del produttore: non disponibile
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