Introduction.- Techniques, Concepts & Examples.- Existence & Uniqueness-The Flow Map.- One Dimensional Systems.- Linear Systems.- Linearization & Transformation.- Stability Theory.- Integrable Systems.- Newtonian Mechanics.- Motion on a Submanifold.- Hamiltonian Systems.- Appendix A: Elementary Analysis.- Appendix B: Lipschitz Maps and Linearization.- Appendix C: Linear Algebra.
From the reviews: "This book is a comprehensive reader-friendly
introduction to differential equations. a ] The theory is
illustrated by a great number of nice examples, applications,
figures. a ] the CD-ROM attachment is a powerful add-on resource
for deeper studies and research. a ] I can warmly recommend the
book for graduate mathematics, physic students and also students in
applied sciences. Finally, I would like to encourage students,
their professors and researchers to do computer experiments and
explorations with a ] the CD-ROM for improving their study,
teaching and scientific work." (JAnos Karsai, Acta Scientiarum
Mathematica, Vol. 70, 2004) "The book under review is intended for
a one or two semester graduate course in ordinary differential
equations. A novel feature of the book is the incorporation of
Maple into the presentation, and a CD-ROM of Maple worksheets that
illustrate the solution method for many of the ODEs in the book.
This well written book offers an application-minded instructor
great flexibility in designing a course. All the necessary theory
is included, as well as wide range of examples from physics and
engineering a ] ." (J. E. Paullet, Zeitschrift fA1/4r Angewandte
Mathematik und Mechanik, Vol. 84 (6), 2004) "This book is one of
the few graduate differential equations texts that use the computer
to enhance the concepts and theory normally taught to first- and
second-year graduate students in mathematics. The author gives a
comprehensive introduction to the theory of ordinary differential
equations with a focus on mechanics and dynamical systems a ] .
This book is accompanied with a CD-ROM for some complements and
supplements. Many of thepertinent examples in the text that use
Maple are on the CD-ROM." (Wei Nian Zhang, Mathematical Reviews,
2002 b) "This book is intended to serve as a comprehensive
introduction to the theory of ordinary differential equations a ] .
the material is organized so that it can be also used in a wider
setting within todaya (TM)s modern university and society. a ] The
book makes every attempt to blend together the traditional
theoretical material on differential equations and the new
techniques afforded by computer algebra systems a ] . The CD-ROM
contains all the electronic material for mastering and enjoying the
computer component of the book." (International Aerospace
Abstracts, Vol. 42 (5), 2002) "This book is intended for first- and
second-year graduate students in mathematics and also organized to
be used for interdisciplinary courses in applied mathematics,
physics, and engineering. a ] The book is well written and provides
many interesting examples. The author gives a comprehensive
introduction to the theory on ordinary differential equations with
a focus on mechanics and dynamical systems. The exposition is clear
and easily understood. a ] This book is accompanied with a CD-ROM
to complement and supplement the material in the text." (Yuan Rong,
Zentralblatt MATH, Vol. 993 (18), 2002)
From the reviews: "This book is a comprehensive reader-friendly
introduction to differential equations. ??? The theory is
illustrated by a great number of nice examples, applications,
figures. ??? the CD-ROM attachment is a powerful add-on resource
for deeper studies and research. ??? I can warmly recommend the
book for graduate mathematics, physic students and also students in
applied sciences. Finally, I would like to encourage students,
their professors and researchers to do computer experiments and
explorations with ??? the CD-ROM for improving their study,
teaching and scientific work." (J??nos Karsai, Acta Scientiarum
Mathematica, Vol. 70, 2004) "The book under review is intended for
a one or two semester graduate course in ordinary differential
equations. A novel feature of the book is the incorporation of
Maple into the presentation, and a CD-ROM of Maple worksheets that
illustrate the solution method for many of the ODEs in the book.
This well written book offers an application-minded instructor
great flexibility in designing a course. All the necessary theory
is included, as well as wide range of examples from physics and
engineering ??? ." (J. E. Paullet, Zeitschrift f??r Angewandte
Mathematik und Mechanik, Vol. 84 (6), 2004) "This book is one of
the few graduate differential equations texts that use the computer
to enhance the concepts and theory normally taught to first- and
second-year graduate students in mathematics. The author gives a
comprehensive introduction to the theory of ordinary differential
equations with a focus on mechanics and dynamical systems ??? .
This book is accompanied with a CD-ROM forsome complements and
supplements. Many of the pertinent examples in the text that use
Maple are on the CD-ROM." (Wei Nian Zhang, Mathematical Reviews,
2002 b) "This book is intended to serve as a comprehensive
introduction to the theory of ordinary differential equations ??? .
the material is organized so that it can be also used in a wider
setting within today??'s modern university and society. ??? The
book makes every attempt to blend together the traditional
theoretical material on differential equations and the new
techniques afforded by computer algebra systems ??? . The CD-ROM
contains all the electronic material for mastering and enjoying the
computer component of the book." (International Aerospace
Abstracts, Vol. 42 (5), 2002) "This book is intended for first- and
second-year graduate students in mathematics and also organized to
be used for interdisciplinary courses in applied mathematics,
physics, and engineering. ??? The book is well written and provides
many interesting examples. The author gives a comprehensive
introduction to the theory on ordinary differential equations with
a focus on mechanics and dynamical systems. The exposition is clear
and easily understood. ??? This book is accompanied with a CD-ROM
to complement and supplement the material in the text." (Yuan Rong,
Zentralblatt MATH, Vol. 993 (18), 2002)
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