Robert Geroch Book order

The subject of computation deals with solutions to mathematical problems by procedures, i.e., solutions that could be generated by a machine; that require no original thought. For which problems are there such procedures, and when they do exist how efficient can they be?In recent years, the landscape of this subject has changed somewhat by the introduction of "machines" that utilize quantum mechanics in their operation. Perspectives in Computation covers three broad topics: the computation process and its limitations, the search for computational efficiency, and the role of quantum mechanics in computation. The emphasis is theoretical: Robert Geroch asks what can be done, and what, in principle, are the limitations on what can be done. Geroch guides readers through these topics by a combination of general discussions of broader issues, the mathematical formulation of those issues and examples. Requiring little technical knowledge of mathematics or physics, Perspectives in Computation will serve both advanced undergraduates and graduate students in mathematics and physics, as well as other scientists working in related fields."

Robert Geroch's lecture notes on differential geometry reflect his original and successful style of teaching - explaining abstract concepts with the help of intuitive examples and many figures. The book introduces the most important concepts of differential geometry and can be used for self-study since each chapter contains examples and exercises, plus test and examination problems which are given in the Appendix. As these lecture notes are written by a theoretical physicist, who is an expert in general relativity, they can serve as a very helpful companion to Geroch's excellent "General 1972 Lecture Notes."

This book is about the branch of mathematics called topology.But its larger purpose is to illustrate how mathematics interplay between intuition on the one hand and a puremathematical formulation on the other. Thus, we develop theaxioms for a topological space, formulate definitions withinthe context of those axioms and actually prove theorems fromthe axioms. But underlying all this is our intuition abouttopology. It is this intuition that guides and gives "meaning" tothe definitions we make and to the theorems we prove. No priorknowledge of mathematics is assumed. In fact, these wereoriginally the notes for a course for freshman non-scientists.This book, including over 100 figures and problem sets withsolutions, should be of interest to those who would like tounderstand what mathematics is all about, as well as thosewho would like to learn about the this important branch ofmathematics.

"This beautiful little book is certainly suitable for anyone who has had an introductory course in physics and even for some who have not."—Joshua N. Goldberg, Physics Today"An imaginative and convincing new presentation of Einstein's theory of general relativity. . . . The treatment is masterful, continual emphasis being placed on careful discussion and motivation, with the aim of showing how physicists think and develop their ideas."— Choice