Cantitate/Preț
Produs

The Laplacian on a Riemannian Manifold: An Introduction to Analysis on Manifolds: London Mathematical Society Student Texts, cartea 31

Autor Steven Rosenberg
en Limba Engleză Paperback – 8 ian 1997
This text on analysis of Riemannian manifolds is a thorough introduction to topics covered in advanced research monographs on Atiyah-Singer index theory. The main theme is the study of heat flow associated to the Laplacians on differential forms. This provides a unified treatment of Hodge theory and the supersymmetric proof of the Chern-Gauss-Bonnet theorem. In particular, there is a careful treatment of the heat kernel for the Laplacian on functions. The Atiyah-Singer index theorem and its applications are developed (without complete proofs) via the heat equation method. Zeta functions for Laplacians and analytic torsion are also treated, and the recently uncovered relation between index theory and analytic torsion is laid out. The text is aimed at students who have had a first course in differentiable manifolds, and the Riemannian geometry used is developed from the beginning. There are over 100 exercises with hints.
Citește tot Restrânge

Toate formatele și edițiile

Toate formatele și edițiile Preț Express
Paperback (1) 41139 lei  43-57 zile
  Cambridge University Press – 8 ian 1997 41139 lei  43-57 zile
Hardback (1) 89472 lei  43-57 zile
  Cambridge University Press – 8 ian 1997 89472 lei  43-57 zile

Din seria London Mathematical Society Student Texts

Preț: 41139 lei

Preț vechi: 46224 lei
-11% Nou

Puncte Express: 617

Preț estimativ în valută:
7874 8556$ 6619£

Carte tipărită la comandă

Livrare economică 21 aprilie-05 mai

Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9780521468312
ISBN-10: 0521468310
Pagini: 188
Ilustrații: 50 exercises
Dimensiuni: 152 x 229 x 18 mm
Greutate: 0.28 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria London Mathematical Society Student Texts

Locul publicării:Cambridge, United Kingdom

Cuprins

Introduction; 1. The Laplacian on a Riemannian manifold; 2. Elements of differential geometry; 3. The construction of the heat kernel; 4. The heat equation approach to the Atiyah-Singer index theorem; 5. Zeta functions of Laplacians; Bibliography; Index.

Recenzii

"The book is well written.... This book provides a very readable introduction to heat kernal methods and it can be strongly recommended for graduate students of mathematics looking for a thorough introduction to the topic." Friedbert PrÜfer, Mathematical Reviews

Descriere

This text on analysis of Riemannian manifolds is aimed at students who have had a first course in differentiable manifolds.