Title: Handbook of mathematical discourse 2002
Author: Charles Wells
http://www.cwru.edu/artsci/math/wells/home.html
The Handbook “is a compilation of mathematical usage with a focus on usage that causes problems for students. It also contains words describing behaviors and attitudes that students and instructors might have.” Many who (like this reviewer) have pondered such things in a superficial way for many years will turn to it in the hope of finding an analysis on a deeper level - for the theme should be of concern to all who teach mathematics.
Title: Calculus: Multivariable (Second Edition)
Authors: R T Smith and R B Minton
McGraw-Hill 2002 ISBN 0-07-112270-2
The book starts with Chapter 10. This makes sense when you realise that the text is just a reprint of the last five chapters of the authors’ book Calculus. This is one of many calculus texts from the USA all with essentially the same syllabus; the multivariable part has chapters on vectors curves partial differentiation multiple integrals and vector fields. As usual there is a web site with a great deal of additional material.
Title: Advanced Engineering Mathematics
Author: Robert J Lopez
Ed: Addison Wesley Longman Limited
This book deals with engineering mathematics at a good second year undergraduate level and above. Its coverage is similar to [1] and [2] but may not be in the traditional order. It contains nine units: Ordinary Differential Equations - Part one Infinite Series Ordinary Differential Equations - Part two Vector Calculus Boundary Value Problems for PDE’s Matrix Algebra Complex Variables Numerical Methods and Calculus of Variations. The book is rather bulky nearly (1400 pages) but this is in line with the size of comparable texts.
Title: Elementary Linear Algebra: Applications Version
Authors: H Anton and C Rorres
2000 Wiley: 8th edition ISBN 0-471-17052-6 and its electronic accompaniments.
This is a well-known book - over 800 pages long. It is basically Anton’s Elementary Linear Algebra with an additional chapter at the end on “Applications”. The first edition of Anton’s book appeared in 1973. It is clearly an indication in the book’s favour that it continues in widespread use after 30 years. The question then arises as to what we get for the subsequent editions. One expects second editions to remove all the errors that might have been in the first but what about editions later than this and in particular what is the point of an 8th edition?
