Our systems are now restored following recent technical disruption, and we’re working hard to catch up on publishing. We apologise for the inconvenience caused. Find out more

Item added to bagSorry, there was a problem getting your bag informationItem cannot be purchased with the existing contents of your bagItem unavailable online
✕

was added to your bag.

Please try again.

Sorry, this item cannot be purchased in the same transaction as the existing items in your bag.

Please complete the purchase of the items currently in your bag and then add this item in a separate transaction or visit Shopping Help.

Sorry, this product is not currently available to buy online. Please visit Shopping Help.

View bag and checkout
Remove item
✕

Are you sure you want to remove from your bag?

Recommended product

Popular links

Popular links

Harmonic Maps, Conservation Laws and Moving Frames

All titles
Harmonic Maps, Conservation Laws and Moving Frames

Harmonic Maps, Conservation Laws and Moving Frames

2nd Edition
Frédéric Hélein, Ecole Normale Supérieure, Lyon
June 2002
Available
Hardback
9780521811606
$142.00
USD
Hardback
USD
eBook
    Description

    This accessible introduction to harmonic map theory and its analytical aspects, covers recent developments in the regularity theory of weakly harmonic maps. The book begins by introducing these concepts, stressing the interplay between geometry, the role of symmetries and weak solutions. It then presents a guided tour into the theory of completely integrable systems for harmonic maps, followed by two chapters devoted to recent results on the regularity of weak solutions. A presentation of "exotic" functional spaces from the theory of harmonic analysis is given and these tools are then used for proving regularity results. The importance of conservation laws is stressed and the concept of a "Coulomb moving frame" is explained in detail. The book ends with further applications and illustrations of Coulomb moving frames to the theory of surfaces.

    • Accessible and pedagogical introduction
    • Provides a self contained and comprehensive exposition of the regularity theory of harmonic maps
    • Author is a top figure in the field

    Reviews & endorsements

    "...an excellent overview...The reviewer has really enjoyed reading this book." MATH

    "The presentation of the material is excellent. The book is as self-contained as it can be....The concepts that are introduced are very carefully motivated. Because the book also gives an overview about recent research results (even updated for the second edition), it is not only a pleasure to read, but also a very good reference book for research." Mathematical Reviews

    See more reviews

    Product details

    January 2005
    Adobe eBook Reader
    9780511029899
    0 pages
    0kg
    This ISBN is for an eBook version which is distributed on our behalf by a third party.

    Often bought together

    Harmonic Maps, Loop Groups, and Integrable Systems
    Harmonic Maps, Loop Groups, and Integrable Systems

    : Hardback

    Harmonic Maps, Loop Groups, and Integrable Systems
    Harmonic Maps, Loop Groups, and Integrable Systems

    : Paperback

    Fourier Analysis and Hausdorff Dimension
    Fourier Analysis and Hausdorff Dimension

    : Hardback

    Fourier Integrals in Classical Analysis
    Fourier Integrals in Classical Analysis

    : Hardback

    Often bought together

    This title is available for institutional purchase via Cambridge Core

    Learn more
    cambridge core banner

    Related Journals

    Combinatorics, Probability and Computing
    Combinatorics, Probability and Computing

    : Journal

    Published bimonthly, Combinatorics, Probability & Computing is devoted to the three areas of combinatorics, probability theory and theoretical computer science. Topics covered include classical and algebraic graph theory, extremal set theory, matroid theory, probabilistic methods and random combinatorial structures; combinatorial probability and limit theorems for random combinatorial structures; the theory of algorithms (including complexity theory), randomised algorithms, probabilistic analysis of algorithms, computational learning theory and optimisation.

    Journal of the Institute of Mathematics of Jussieu
    Journal of the Institute of Mathematics of Jussieu

    : Journal

    Journal of the Institute of Mathematics of Jussieu covers all domains in pure mathematics.

    European Journal of Applied Mathematics
    European Journal of Applied Mathematics

    : Journal

    Since 2008 EJAM surveys have been expanded to cover Applied and Industrial Mathematics. Coverage of the journal has been strengthened in probabilistic applications, while still focusing on those areas of applied mathematics inspired by real-world applications, and at the same time fostering the development of theoretical methods with a broad range of applicability. Survey papers contain reviews of emerging areas of mathematics, either in core areas or with relevance to users in industry and other disciplines.Research papers may be in any area of applied mathematics, with special emphasis on new mathematical ideas, relevant to modelling and analysis in modern science and technology, and the development of interesting mathematical methods of wide applicability.

    Ergodic Theory and Dynamical Systems
    Ergodic Theory and Dynamical Systems

    : Journal

    Ergodic Theory and Dynamical Systems focuses on a rich variety of research areas which, although diverse, employ as common themes global dynamical methods. The journal provides a focus for this important and flourishing area of mathematics and brings together many major contributions in the field. The journal acts as a forum for central problems of dynamical systems and of interactions of dynamical systems with areas such as differential geometry, number theory, operator algebras, celestial and statistical mechanics, and biology.

    Related Journals

    Also by this Author

    Contents

    Table of Contents

    • Preface
    • Introduction
    • Acknowledgements
    • Notations
    • 1. Geometric and analytic setting
    • 2. Harmonic maps with symmetries
    • 3. Compensations and exotic function spaces
    • 4. Harmonic maps without symmetries
    • 5. Surfaces with mean curvature in L2
    • References.
      • Show more
    Courses
    Resources
    Additional Information
    About the authors
      Author
    • Frédéric Hélein , Ecole Normale Supérieure, Lyon

    Browse by related subject

     
    ✕

    Sorry, this item cannot be purchased in the same transaction as the existing items in your cart.

    Please complete the purchase of the items currently in your cart and then add this item in a separate transaction or contact

    Customer Services