Geometry and Physics

• 1.Geometry.- 1.1.Riemannian and Lorentzian manifolds.- 1.2.Bundles and connections.- 1.3.Tensors and spinors.- 1.4.Riemann surfaces and moduli spaces.- 1.5.Supermanifolds.- 2.Physics.- 2.1.Classical and quantum physics.- 2.2.Lagrangians.-2.3.Variational aspects.- 2.4.The sigma model.- 2.5.Functional integrals.- 2.6.Conformal field theory.- 2.7.String theory.- Bibliography.- Index.

From the reviews:“This book is a fresh presentation … of field theory, using a modern mathematical language. … This covers some interesting actual subjects concerning a mathematical model formulation of high-energy particles physics. … this book can be very useful for beginners. … can be recommended to the attention of all students and scientists that aim to find a short direct introduction in the field theory of particle physics.” (Agostino Prástaro, Zentralblatt MATH, Vol. 1176, 2010)“It’s an extremely unusual book on a number of counts. … I find the book eminently readable, inpact spellbinding. … I am happy to recommend Jost’s Geometry and Physics to any one with enough mathematics under his belt not to wince at a pair of phrases … . Read and enjoy this fascinating book, delve deeper where you wish … .” (Michael Berg, The Mathematical Association of America, February, 2010)“In this book the author gives an overview of the relation between geometry and physics. … This work is an excellent and thoughtful review of one of the most important subjects in contemporary theoretical physics. … The book is very well written and I would recommend it to everyone who wants a good introduction to the subject as well as to theoreticians and mathematicians who work on the boundary between mathematics and physics.” (Guglielmo Fucci, Mathematical Reviews, Issue 2010 k)