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Modern Engineering Mathematics (4th Edition), by Glyn James
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A complete course for first year engineering mathematics with Matlab integrated throughout the text.
- Sales Rank: #2141464 in Books
- Published on: 2007-10-07
- Original language: English
- Number of items: 1
- Dimensions: 9.68" h x 1.72" w x 7.44" l, 4.78 pounds
- Binding: Paperback
- 1128 pages
From the Back Cover
This book provides a complete course for first-year engineering mathematics. Whichever field of engineering you are studying, you will be most likely to require knowledge of the mathematics presented in this textbook. Taking a thorough approach, the authors put the concepts into an engineering context, so you can understand the relevance of mathematical techniques presented and gain a fuller appreciation of how to draw upon them throughout your studies.
Key features
- Comprehensive coverage of first-year engineering mathematics
- Fully worked examples and exercises provide relevance and reinforce the role of mathematics in the various branches of engineering
§ Excellent coverage of engineering applications
New to this edition
- More than 100 new worked examples
- Over 200 new exercises to help monitor progress with your learning and provide a more progressive level of difficulty
- Online ‘refresher units' covering topics you should have encountered at school but may not have used for some time
§ MATLAB and MAPLE fully integrated, showing you how these powerful tools can be used to support your work in mathematics
Professor Glyn James is Emeritus Professor within the Department of Mathematical Sciences at Coventry University, having previously been Dean of the School of Mathematical and Information Science.
As in previous editions he has drawn upon the knowledge and experience of his co-authors to provide an excellent revision of the book.
Most helpful customer reviews
7 of 7 people found the following review helpful.
A well-written book with a nice variety of applications, with some deficiencies
By One-Reader
This book's emphasis is on how to mathematically express and solve engineering problems. It is an appropriate text to learn about applying mathematics, but inappropriate for learning "pure mathematics". It is a well thought-out and organized work with many strong points, but also some weaknesses.
The strong points include: (1) an intuitive presentation of mathematical concepts which facilitates understanding, (2) the inclusion of numerous examples and solved problems in the text, (3) an easy and friendly informal style of presentation, (4) coverage of most of the important topics in basic engineering mathematics, (5) the good, but not excessive, use of meaningful graphics, and (6) discussion of the use of mathematical software to solve engineering problems. This later point is significant, as many engineering mathematics books ignore or only briefly mention the use of mathematical software.
Some may reasonably question the authors' choice of MATLAB, primarily a "number crunching" package, as the primary software, with an overlay of Maple commands. Although straight Maple may have been a better choice, the MATLAB presentations are generally easy to translate to Maple.
There are, however, a few issues that diminish the presentation :
Probably the most frustrating is the Exercises' problem descriptions. Problems are often presented with multiple parts. Unfortunately, each problem part is not identified by a separate letter or number. All problem parts are just run together in the statement of the problem. A better organized set of problem statements would be quite helpful.
The authors do not include learning objectives, as found in some other contemporary texts covering similar ground, e.g., Stroud's "Engineering Mathematics". Stroud's behavioral objective format is particularly helpful in identifying the skills readers should have developed after finishing a section. The inclusion of objectives would definitely benefit readers.
Most of the examples presented are easily solved by the reader from already provided material. However, the authors occasionally throw a curve, no mathematical pun intended, and present examples beyond the capability of most readers at this stage in their mathematical maturity. For example, the "packing problem" in the second chapter. Here the author provides answers without details of how these nontrivial solutions were obtained.
On a few occasions the authors' answers to Exercises are, arguably or demonstrably, incorrect. Continuing from the Chapter on functions:
An example of the former is when the authors present a problem of a road built x meters above rough terrain. In the solution set a value of -2 for the independent variable is presented as acceptable, resulting in a negative area. The authors explain that this would represent the "area of cutting". The authors' had just described how to identify the appropriate domain of a function. Thus, a better answer would be that for the problem as presented a value of -2 is not in the domain of the function. However, they could then show how to restate the problem with an extended domain and derive a different function to provide for both positive and negative values relative to the terrain's surface. In other cases, solutions are given without discussing important assumptions. In the "real world" making the correct assumptions is most often the key to getting appropriate answers.
An example of a demonstrably incorrect answer, is when the authors' present the function 1/[x(x-2)]. The authors state that this function is increasing on x < 1 and decreasing on x > 1. However, as the denominator of a fraction cannot be zero, this function is not defined at either x = 0 or x =2. Thus, the intervals in which the function is increasing or decreasing can be defined only for points where the function is defined. Thus for example, it should have been defined as increasing in the intervals (-infinity, 0) and (0, 1) , i.e., excluding the point x=0.
Occasionally the lack of a formal, as opposed to intuitive, definition may impede understanding. The presentation of a cusp would definitely have been improved by adding a formal definition which included the idea of a limiting tangent.
For US based readers, the occasional difference in language usage may cause a minor interruption in the presentation's flow, e.g., when the term standing charge is used in place of the more common US term fixed charge, etc.
Perhaps most importantly, the authors' references and guidance to the reader on the application of advanced mathematical software means that more realistic problems can be, and often are, presented. In many other engineering mathematics books, readers will generally find exercises designed to be easily, and sometime with more difficulty, solved by hand. However, in the real world many engineering problems do not have easy hand-derived solutions, and any solutions may be extremely difficult or impossible to find. In this sense, unexpected "tough problems", often requiring computer-derived solutions, are more realistic.
In conclusion: The major deficiencies here are the larger than expected number of misstatements and errors for a 4th edition, and the lack of clarity in the presentation of some concepts where only an informal definition is provided. Thus, this book would probably be a poor choice for independent study.
However, the references to mathematical software, along with the authors' easy writing style, applications of mathematics to a range of topics, and use of "bite-sized" sections, means this book is worth considering if you need a supplemental book to help enhance your basic grounding in engineering mathematics, or you seek a slightly less traditional presentation.
0 of 0 people found the following review helpful.
Awesome book
By Jerald Loo
Awesome book and has helped me in my preparation.
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