From Number Theory to Physics
by Waldschmidt, Michel; Moussa, Pierre; Luck, Jean-marc; Itzykson, Claude; Cartier, P. (CON)Format: Hardcover
Pub. Date: 1992-12-14
Publisher(s): Springer Verlag
Other versions by this Author
List Price: $181.88
Rent Textbook
Select for Price
New Textbook
We're Sorry
Sold Out
Used Textbook
We're Sorry
Sold Out
eTextbook
We're Sorry
Not Available
How Marketplace Works:
- This item is offered by an independent seller and not shipped from our warehouse
- Item details like edition and cover design may differ from our description; see seller's comments before ordering.
- Sellers much confirm and ship within two business days; otherwise, the order will be cancelled and refunded.
- Marketplace purchases cannot be returned to eCampus.com. Contact the seller directly for inquiries; if no response within two days, contact customer service.
- Additional shipping costs apply to Marketplace purchases. Review shipping costs at checkout.
Summary
Various developments in physics have involved many questions related to number theory, in an increasingly direct way. This trend is especially visible in two broad families of problems, namely, field theories, and dynamical systems and chaos. The 14 chapters of this book are extended, self-contained versions of expository lecture courses given at a school on "Number Theory and Physics" held at Les Houches for mathematicians and physicists. Most go as far as recent developments in the field. Some adapt an original pedagogical viewpoint.
Table of Contents
| An Introduction to Zeta Functions | p. 1 |
| Introduction to Compact Riemann Surfaces, Jacobians, and Abelian Varieties | p. 64 |
| Elliptic Curves | p. 212 |
| Introduction to Modular Forms | p. 238 |
| Decorated Elliptic Curves: Modular Aspects | p. 292 |
| Galois Theory, Algebraic Number Theory, and Zeta Functions | p. 313 |
| Galois Theory for Coverings and Riemann Surfaces | p. 394 |
| Differential Galois Theory | p. 413 |
| p-adic Numbers and Ultrametricity | p. 440 |
| Introduction to Lattice Geometry | p. 476 |
| A Short Introduction to Quasicrystallography | p. 496 |
| Gap Labelling Theorems for Schrodinger Operators | p. 538 |
| Circle Maps: Irrationally Winding | p. 631 |
| An Introduction to Small Divisors Problems | p. 659 |
| Index | p. 680 |
| Table of Contents provided by Blackwell. All Rights Reserved. |
An electronic version of this book is available through VitalSource.
This book is viewable on PC, Mac, iPhone, iPad, iPod Touch, and most smartphones.
By purchasing, you will be able to view this book online, as well as download it, for the chosen number of days.
Digital License
You are licensing a digital product for a set duration. Durations are set forth in the product description, with "Lifetime" typically meaning five (5) years of online access and permanent download to a supported device. All licenses are non-transferable.
More details can be found here.
A downloadable version of this book is available through the eCampus Reader or compatible Adobe readers.
Applications are available on iOS, Android, PC, Mac, and Windows Mobile platforms.
Please view the compatibility matrix prior to purchase.