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The Mathematics Companion: Mathematical Methods for Physicists and Engineers, by Anthony Craig Fischer-Cripps
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Following the style of The Physics Companion and The Electronics Companion, this book is a revision aid and study guide for undergraduate students in physics and engineering. It consists of a series of one-page-per-topic descriptions of the key concepts covered in a typical first-year "mathematics for physics" course. The emphasis is placed on relating the mathematical principles being introduced to real-life physical problems. In common with the other companions, there is strong use of figures throughout to help in understanding of the concepts under consideration. The book will be an essential reference and revision guide, particularly for those students who do not have a strong background in mathematics when beginning their degree.
- Sales Rank: #1734073 in Books
- Published on: 2005-05-01
- Original language: English
- Number of items: 1
- Dimensions: .45" h x 6.42" w x 8.56" l, .58 pounds
- Binding: Paperback
- 210 pages
Review
This is an interesting and useful little book… .it is very well done, and everything that might be expected to be there is there… .The book might also be invaluable for those undergraduate students in Mathematics, Science or Engineering, who need to undertake first and second year courses in Mathematics, and it will serve those who wish to have quick access to all those formulae that seem to be so readily forgotten.
-J M Hill, Australian Physics, Vol. 43, No. 1, March/April 2006
Most helpful customer reviews
0 of 0 people found the following review helpful.
Very useful resource, but beware of the typos
By Camber
This book provides a clear and concise summary of key mathematical concepts and formulas of the sort normally used by scientists and engineers.
There are some derivations, explanations, and examples scattered throughout the book, but this is mainly a reference book. The aim is therefore to provide a resource for looking things up which you may have forgotten, not to teach you the material from scratch.
The one negative with the book is that there are several typos, which is especially a problem with a reference book like this, and this is even more unfortunate because the typos could have been easily caught and corrected with proper editing. These typos are the only reason my rating is 4 stars instead of a solid 5 stars.
The bottom line is that I can still recommend this book, but beware of the typos.
1 of 2 people found the following review helpful.
Uniquely formatted, and reasonably successful summary of key mathematical concepts, diminished by editing and layout errors,
By One-Reader
This is an mathematical reference book in a somewhat novel format. It provides concise coverage of important undergraduate-level mathematical techniques needed for science and engineering. The book is divided into two sections. As of the posting of this review, "Search inside this book" did not provide a table of contents, so the topics covered in each section are listed below:
-- Part 1. Mathematics Essentials: Numbers, Trigonometry, Geometry; Limits and Functions; Differentiation; Integration; Exponential and Logarithmic Functions; Trigonometric and Hyperbolic Functions; Methods of Integration; Infinite Series; Probability; Matrices.
-- Part 2. Advanced Mathematics: Ordinary Differential Equations; Laplace Transforms; Vector Analysis; Partial Derivatives; Multiple Integrals; Fourier Series; Partial Differential Equations; Complex Functions; Numerical Methods.
What makes this work unique is that each specific topic is usually presented in only one or two pages. Thus, e.g., 'Complex Numbers' are presented on two pages and 'Vector Differentiation' on one. This design allows readers to quickly cover a variety of topics where they may only need a short review. The book can also be thought of as a source of core templates from which to grow your own summary notes, augmenting those in the book with items and topics as needed.
The book's major deficiency is its editing. For example, in the summary section on "Differentiation" a number of differentiation formulas are presented. Although all results are present, for some of these formulas the actual functions to be differentiated are missing.
The book's size is similar to modern Dover mathematical reprints. However, it is printed on acid-free paper, and it feels more substantial than the typical paperback.
Conclusion: This work provides key mathematical concepts for science and engineering in a unique summary format. However, in spite of some editing and layout errors errors, it can be helpful for review, or for providing concise topic templates designs to which users can additional material for their own needs. Although, perhaps not, the first choice for a mathematics companion handbook.
1 of 1 people found the following review helpful.
The Pocket Guide to Applied Mathematics
By Mead C. Whorton Jr.
This is an excellent book for working engineers, physicists, and applied mathematicians. It would also benefit any mathematics majors reviewing their undergraduate applied mathematics courses. The book is divided into
two sections; mathematics essentials and advanced mathematics. Mathematics essentials covers trigonometry, geometry, calculus including infinite series, probability, and matrices. Advanced mathematics covers ordinary differential equations, vector analysis, Fourier series, partial differential equations and several other topics. The book does not go into depth on any of the topics but provides an excellent bare bones sketch of each topic and usually includes one or two worked examples on each topic. Best of all, it's small enough to fit into your coat pocket or even your hip pocket. There is even a well done section on the Schrodinger equation and how to solve it for an infinite square well and a harmonic oscillator. The author has done an excellent job of summarizing the key components of applied mathematics and the book is well laid out and easy to read. I would hope in the next addition that the author includes a one page list of references to such classic books as Mary Boas' Mathematical Methods in the Physical Sciences and Hans Weber and George Arfken's Essential Mathematical Methods for Physicists. Best of all the book is very reasonably priced. This is a must have for anyone working in the sciences or mathematics. It will be money well spent!
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