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 Prastaro, 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)