1957; 277 pp; hardcover
ISBN-13: 978-0-8218-4644-5
This is a story of more than a century ago, about a circle of young scientists, and in particular one among them, a mathematician, Niels Henrik Abel. He is well known to any mathematician of today; indeed, few men have their name associated with so many results and concepts in modern mathematics. This, however, is not the main concern in this book. It is rather the simple story of a scientist, his family and friends, his hopes and sorrows, his triumphs and tragedies. Many great lives, rich in outer events, have inspired biographers. But the profound humanity of a searching soul may provide the background for an equally arresting chronicle--the heart-warming tale of a young man who set out from a little Norwegian town to explore the world of science.
Undergraduates, graduate students, and research mathematicians interested in mathematical biographies.
Family and childhood
At the university
Journey to the continent
The return
Epilogue
Bibliography
Index of names
AMS/IP Studies in Advanced Mathematics, Volume: 44
2008; 244 pp; softcover
ISBN-13: 978-0-8218-4764-0
Expected publication date is December 25, 2008.
Over the past decade string theory has had an increasing impact on many areas of physics: high energy and hadronic physics, gravitation and cosmology, mathematical physics and even condensed matter physics. The impact has been through many major conceptual and methodological developments in quantum field theory in the past fifteen years. In addition, string theory has exerted a dramatic influence on developments in contemporary mathematics, including Gromov-Witten theory, mirror symmetry in complex and symplectic geometry, and important ramifications in enumerative geometry.
This volume is derived from a conference of younger leading practitioners around the common theme: "What is string theory?" The talks covered major current topics, both mathematical and physical, related to string theory.
Graduate students and research mathematicians interested in string theory in mathematics and physics.
O. J. Ganor -- Puff field theory
R. G. Leigh, T.-P. Choy, and P. Phillips -- Mottness and strong coupling
A. C. Petkou -- Holographic aspects of generalized electric-magnetic dualities
S. R. Das -- Null and spacelike singularities and gauge-gravity duality
K. R. Dienes, M. Lennek, D. Senechal, and V. Wasnik -- Is SUSY natural?
N. Kaloper -- Brane induced gravity: Codimension-2
A. Hamilton, D. Kabat, G. Lifschytz, and D. A. Lowe -- Local bulk operators in AdS/CFT and the fate of the BTZ singularity
L.-S. Tseng -- Heterotic geometry and fluxes
L. Freidel, R. G. Leigh, D. Minic, and A. Yelnikov -- On the spectrum of pure Yang-Mills theory
V. Balasubramanian, J. de Boer, S. El-Showk, and I. Messamah -- Resolving black hole microstates
A. Tomasiello -- Geometry of supersymmetric type II solutions
F. Larsen -- Resolving gravitational singularities
E. Sharpe -- Recent developments in heterotic compactifications
V. Braun, M. Kreuzer, B. A. Ovrut, and E. Scheidegger -- Worldsheet instantons and torsion curves
University Lecture Series, Volume: 47
2008; 158 pp; softcover
ISBN-13: 978-0-8218-4760-2
Expected publication date is December 25, 2008.
This book, which grew out of lectures by E. Kunz for students with a background in algebra and algebraic geometry, develops local and global duality theory in the special case of (possibly singular) algebraic varieties over algebraically closed base fields. It describes duality and residue theorems in terms of Kahler differential forms and their residues. The properties of residues are introduced via local cohomology. Special emphasis is given to the relation between residues to classical results of algebraic geometry and their generalizations. The contribution by A. Dickenstein gives applications of residues and duality to polynomial solutions of constant coefficient partial differential equations and to problems in interpolation and ideal membership. D. A. Cox explains toric residues and relates them to the earlier text.
The book is intended as an introduction to more advanced treatments and further applications of the subject, to which numerous bibliographical hints are given.
Graduate students and research mathematicians interested in algebra, algebraic geometry, complex analyis, and computer algebra.
Contemporary Mathematics, Volume: 475
2008; 251 pp; softcover
ISBN-13: 978-0-8218-4717-6
Expected publication date is December 17, 2008.
This is the second part of the Proceedings of the meeting "School and Workshop on the Geometry and Topology of Singularities", held in Cuernavaca, Mexico, from January 8th to 26th of 2007, in celebration of the 60th Birthday of Le D?ng Trang.
This volume contains fourteen cutting-edge research articles on geometric and topological aspects of singularities of spaces and maps. By reading this volume, and the accompanying volume on algebraic and analytic aspects of singularities, the reader should gain an appreciation for the depth, breadth, and beauty of the subject, and also find a rich source of questions and problems for future study.
Graduate students and research mathematicians interested in the geometry and topology of singular spaces and maps.
Contemporary Mathematics, Volume: 476
2008; 148 pp; softcover
ISBN-13: 978-0-8218-4064-1
Expected publication date is December 28, 2008.
This book consists of three expository articles written by outstanding researchers in Mathematical Physics: Rafael Benguria, Peter Hislop, and Elliott Lieb. The articles are based on their lectures at the Fourth Summer School in Analysis and Mathematical Physics, held at the Institute of Mathematics, Universidad Nacional Autonoma de Mexico, Cuernavaca in May 2005.
The main goal of the articles is to link the basic knowledge of a graduate student in Mathematics with three current research topics in Mathematical Physics: Isoperimetric inequalities for eigenvalues of the Laplace Operator, Random Schrodinger Operators, and Stability of Matter, respectively.
These well written articles will guide and introduce the reader to current research topics and will also provide information on recent progress in some areas of Mathematical Physics.
Graduate students and research mathematicians interested in mathematical physics.
R. D. Benguria and H. Linde -- Isoperimetric inequalities for eigenvalues of the Laplace operator
P. D. Hislop -- Lectures on random Schrodinger operators
E. H. Lieb -- Quantum mechanics, the stability of matter and quantum electrodynamics