Moshe Carmeli

Although this book concerns some of the most difficult topics in modern mathematics, it is easy to read; indeed, a pleasure to read in the early chapters. The terms are clearly and logically explained so it is not necessary to run a small research project to ascertain the exact meaning of the symbols. However in later pages some problems arise. For example on page 413 in problem 8.1.1. some j indices are used which have not been explained or defined, at least in this chapter. On the same page two indices m and n are used which have been explained and are here valued at m = n = 2, but on the next line, and without any further definition or revaluation, is found the equation (m+1)(n+1) = 4. Since 4 is the correct dimension of the space under discussion, it may be surmised that the editors and/or publishers have omitted some explanatory material to reduce the size and weight of the resulting volume.

Carmeli has given here some promising new methods and given incisive new insights into old methods, material not easily found elsewhere. This book should be in the hands of everyone doing research or calculations in classical fields.… (mere)