Usually Ships in 3-5 Business Days
Questions About This Book?
Why should I rent this book?
Renting is easy, fast, and cheap! Renting from eCampus.com can save you hundreds of dollars compared to the cost of new or used books each semester. At the end of the semester, simply ship the book back to us with a free UPS shipping label! No need to worry about selling it back.
How do rental returns work?
Returning books is as easy as possible. As your rental due date approaches, we will email you several courtesy reminders. When you are ready to return, you can print a free UPS shipping label from our website at any time. Then, just return the book to your UPS driver or any staffed UPS location. You can even use the same box we shipped it in!
What version or edition is this?
This is the edition with a publication date of 3/26/2016.
What is included with this book?
The famous KAM theorem due to Kolmogorov, Arnold and Moser has proved critical in the theory of dynamical systems. A large and influential theory has built up around this result and there are applications in various branches of mathematics, chaos theory and physics. Arising from a lecture course given by the author at ENS Lyon, this book is ideal for graduate students. It contains a great deal of background and motivational material to help students come to grips with this important topic. However, the appeal of the book will extent to researchers will find this to be a useful resource, not least because Fathi has included numerous references that point to further, more advanced reading.
Table of Contents
1. Convex functions: Legendre and Fenchel; 2. Calculus of variations; 3. Calculus of variations for a Lagrangian convex in the fibres: Tonelli's theory; 4. The weak KAM theorem; 5. Conjugate weak KAM solutions; 6. A closer look at the Lax-Oleinik semi-group.