Book Review

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Book Information:

Authors: Elliott H. Lieb, Robert Seiringer, Jan Philip Solovej and Jakob Yngvason

Title: The mathematics of the Bose gas and its condensation

Additional book information: Birkhäuser-Verlag, Basel, 2005, viii+208 pp., ISBN 978-3-7643-7336-8, US$39.95

**1.**Amandine Aftalion,*Vortices in Bose-Einstein condensates*, Progress in Nonlinear Differential Equations and their Applications, vol. 67, Birkhäuser Boston, Inc., Boston, MA, 2006. MR**2228356****2.**Joseph G. Conlon, Elliott H. Lieb, and Horng-Tzer Yau,*The 𝑁^{7/5} law for charged bosons*, Comm. Math. Phys.**116**(1988), no. 3, 417–448. MR**937769****3.**F.J. Dyson and A. Lenard.

Stability of matter, I and II.

*J. Math. Phys.*8, 423-434, 1967; ibid 9, 698-711 (1968).**4.**F.J. Dyson.

Groundstate energy of a finite system of charged particles.

*J. Math. Phys*. 8, 1538-1545, 1967.**5.**E. H. Lieb and W. E. Thirring.

Bounds on the kinetic energy of the eigenvalues of the Schrödinger Hamiltonian which proves the stability of matter.

*Phys. Rev. Lett.*35, 687-689, 1975. Errata ibid. 35, 116, 1975.

Review Information:

Reviewer: T. Hoffmann-Ostenhof

Affiliation: Institut für Theoretische Chemie, Universität Wien, and International Erwin Schrödinger Institute for Mathematical Physics

Email: thoffman@esi.ac.at

Journal: Bull. Amer. Math. Soc.

**44**(2007), 493-496

MSC (2000): Primary 35B05

Published electronically: April 10, 2007

Review copyright: © Copyright 2007 American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.