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Based on a one-year course taught by the author to graduates at the University of Missouri, this book provides a student-friendly account of some of the standard topics encountered in an introductory course of ordinary differential equations. In a second semester, these ideas can be expanded by introducing more advanced concepts and applications. A central theme in the book is the use of Implicit Function Theorem, while the latter sections of the book introduce the basic ideas of perturbation theory as applications of this Theorem. The book also contains material differing from standard treatments, for example, the Fiber Contraction Principle is used to prove the smoothness of functions that are obtained as fixed points of contractions. The ideas introduced in this section can be extended to infinite dimensions.

## About book:

## About file:

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- Series:
**Texts in Applied Mathematics 34** - Author:
**Carmen Chicone (auth.)** - Year:
**1999** - Publisher:
**Springer New York** - Language:
**English** - ISBN:
**0387307699,9780387307695**

- File size:
**5 498 178** - Format:
**pdf**

Security code:

This book developed over 20 years of the author teaching the course at his own university. It serves as a text for a graduate level course in the theory of ordinary differential equations, written from a dynamical systems point of view. It contains both t...

The present book has its source in the authors' wish to create a bridge between the mathematical and the technical disciplines, which need a good knowledge of a strong mathematical tool. The necessity of such an interdisciplinary work drove the authors to...

Based on a one-year course taught by the author to graduates at the University of Missouri, this book provides a student-friendly account of some of the standard topics encountered in an introductory course of ordinary differential equations. In a second ...

Based on a one-year course taught by the author to graduates at the University of Missouri, this book provides a student-friendly account of some of the standard topics encountered in an introductory course of ordinary differential equations. In a second ...

Based on a one-year course taught by the author to graduates at the University of Missouri, this book provides a student-friendly account of some of the standard topics encountered in an introductory course of ordinary differential equations. In a second ...

Stochastic differential equations in infinite dimensional spaces are motivated by the theory and analysis of stochastic processes and by applications such as stochastic control, population biology, and turbulence, where the analysis and control of such sy...

This book presents the theory of ordinary differential equations with constant coefficients. The exposition is based on ideas developing the Gelfand-Shilov theorem on the polynomial representation of a matrix exponential. Boundary value problems for ordin...

This book presents the theory of ordinary differential equations with constant coefficients. The exposition is based on ideas developing the Gelfand-Shilov theorem on the polynomial representation of a matrix exponential. Boundary value problems for ordin...

This interdisciplinary work creates a bridge between the mathematical and the technical disciplines by providing a strong mathematical tool. The present book is a new, English edition of the volume published in 1999. It contains many improvements, as well...

This book makes it possible for us to see clearly the unmistakable face and handprint of Black Africans in Pre-Columbian America, and their overwhelming impact on the civilization they found here....

A one-year course in probability theory and the theory of random processes, taught at Princeton University to undergraduate and graduate students, forms the core of this book. It provides a comprehensive and self-contained exposition of classical probabil...

This text proposes a new kind of democracy for the modern era, one that not only gives citizens more power but also allows them more opportunities to exercise this power thoughtfully. James S. Fishkin here suggests a solution to the problem of inadequate ...

Limiting Institutions examines the security threats in Eurasia and the role of institutions in the post-Cold War international environment. It looks at both the crucial aspect of foreign policy as well as a theoretical area of security studies and its imp...

The Sunday Times Bestseller 'Afghanistan is just like Iraq -- hot, dusty and full of people who want to kill you', SSgt Simon Fuller, Royal Engineer Search Advisor Bomb Hunters tells the story of the British army's elite bomb disposal experts, men who f...

.cs95E872D0{text-align:left;text-indent:0pt;margin:0pt 0pt 0pt 0pt} .csA62DFD6A{color:#000000;background-color:transparent;font-family:Times New Roman; font-size:12pt; font-weight:normal; font-style:italic; } .cs5EFED22F{color:#000000;background-color:t...