Principles of Differential Equations (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts) 1st Edition by Nelson G. Markley (PDF)

Description

An accessible, practical introduction to the principles of differential equations The field of differential equations is a keystone of scientific knowledge today, with broad applications in mathematics, engineering, physics, and other scientific fields. Encompassing both basic concepts and advanced results, Principles of Differential Equations is the definitive, hands-on introduction professionals and students need in order to gain a strong knowledge base applicable to the many different subfields of differential equations and dynamical systems.Nelson Markley includes essential background from analysis and linear algebra, in a unified approach to ordinary differential equations that underscores how key theoretical ingredients interconnect. Opening with basic existence and uniqueness results, Principles of Differential Equations systematically illuminates the theory, progressing through linear systems to stable manifolds and bifurcation theory. Other vital topics covered include:Basic dynamical systems conceptsConstant coefficientsStabilityThe Poincaré return mapSmooth vector fieldsAs a comprehensive resource with complete proofs and more than 200 exercises, Principles of Differential Equations is the ideal self-study reference for professionals, and an effective introduction and tutorial for students.

User’s Reviews

Editorial Reviews: From the Inside Flap An accessible, practical introduction to the principles of differential equations The field of differential equations is a keystone of scientific knowledge today, with broad applications in mathematics, engineering, physics, and other scientific fields. Encompassing both basic concepts and advanced results, Principles of Differential Equations is the definitive, hands-on introduction professionals and students need in order to gain a strong knowledge base applicable to the many different subfields of differential equations and dynamical systems.Nelson Markley includes essential background from analysis and linear algebra, in a unified approach to ordinary differential equations that underscores how key theoretical ingredients interconnect. Opening with basic existence and uniqueness results, Principles of Differential Equations systematically illuminates the theory, progressing through linear systems to stable manifolds and bifurcation theory. Other vital topics covered include:Basic dynamical systems conceptsConstant coefficientsStabilityThe Poincaré return mapSmooth vector fieldsAs a comprehensive resource with complete proofs and more than 200 exercises, Principles of Differential Equations is the ideal self-study reference for professionals, and an effective introduction and tutorial for students. From the Back Cover An accessible, practical introduction to the principles of differential equations The field of differential equations is a keystone of scientific knowledge today, with broad applications in mathematics, engineering, physics, and other scientific fields. Encompassing both basic concepts and advanced results, Principles of Differential Equations is the definitive, hands-on introduction professionals and students need in order to gain a strong knowledge base applicable to the many different subfields of differential equations and dynamical systems.Nelson Markley includes essential background from analysis and linear algebra, in a unified approach to ordinary differential equations that underscores how key theoretical ingredients interconnect. Opening with basic existence and uniqueness results, Principles of Differential Equations systematically illuminates the theory, progressing through linear systems to stable manifolds and bifurcation theory. Other vital topics covered include:Basic dynamical systems conceptsConstant coefficientsStabilityThe Poincaré return mapSmooth vector fieldsAs a comprehensive resource with complete proofs and more than 200 exercises, Principles of Differential Equations is the ideal self-study reference for professionals, and an effective introduction and tutorial for students. About the Author NELSON G. MARKLEY, PhD, was a faculty member in the Mathematics Department at the University of Maryland before moving to Lehigh University where he served as Provost and then Senior Vice President. He has published numerous research papers including recent work in the Journal of Differential Equations, and is the author of an elementary text on probability used by thousands of university students over some twenty years. He received his doctoral degree from Yale University. Read more

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This book is the compilation of class notes for an introductory year course in ODE.I took this course with the author. The book has the right level of difficulty andgoes for teaching some fundamental concepts clearly and deeply rather than try to covera lot of material poorly. The examples and problems are perfect; I could solve nearly all of themwith enough effort and learned from them each time. From here you can go to more advanced specializedarea. I particularly enjoyed bifurcation theory covered in this book. Professor Markley writes that thisis the kind of the book he would have liked to have as a graduate student. It is indeed such a book.

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