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Most people ask life changing questions when a traumatic or painful event occurs in our lives. Events like a heart breaking end to a relationship, or a loss of a job. These events force us to evaluate our lives and ask some very important questions. Questions such as what am I doing with my life, why didn’t it work? But, what separates the more successful people from those leading a life they are not too thrilled about is these life changing questions. What if we stopped waiting for painful events to force us to reflect on our lives and began asking important questions on the daily and from that thought is where I was inspired to write this book. A systematic way to not only ask these success questions, but to do so in a way that we can actually improve our lives before our lives disprove us.
Somewhere Better is a story that teaches children to appreciate what they have. Billy will take you on an adventure as he tries to make a rocket to go to the Moon because he isn't happy here on Earth. "Happiness is right where you are" is a line from the book. With that message, this book can be enjoyed by everyone and serve as a little reminder to us all.
This book provided the first self-contained comprehensive exposition of the theory of dynamical systems as a core mathematical discipline closely intertwined with most of the main areas of mathematics. The authors introduce and rigorously develop the theory while providing researchers interested in applications with fundamental tools and paradigms. The book begins with a discussion of several elementary but fundamental examples. These are used to formulate a program for the general study of asymptotic properties and to introduce the principal theoretical concepts and methods. The main theme of the second part of the book is the interplay between local analysis near individual orbits and the global complexity of the orbit structure. The third and fourth parts develop the theories of low-dimensional dynamical systems and hyperbolic dynamical systems in depth. Over 400 systematic exercises are included in the text. The book is aimed at students and researchers in mathematics at all levels from advanced undergraduate up.
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This book constitutes revised and extended selected papers of the 4th IEEE Colombian Conference, ColCACI 2021, which was held virtually in Colombia at the end of May 2021. The 7 full papers presented in the volume were carefully reviewed and selected from 22 submissions. The papers are organized in topical sections on biomedical applications and alternative proposals and its applications.
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