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Mathematical Techniques, by Dominic Jordan, Peter Smith
Ebook Download Mathematical Techniques, by Dominic Jordan, Peter Smith
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Many students beginning their engineering, science and mathematics courses need a book on mathematical methods. This textbook offers an accessible and comprehensive grounding in many of the mathematical techniques required in the early stages of an engineering or science degree, and also for the routine methods needed by first and second year mathematics students. "Mathematical Techniques" starts by revising work from pre-university level before developing the more advanced material which students will encounter during their undergraduate studies. The contents of the book has been fully revised for this, the third edition. The first chapter on standard techniques, has been rewritten and expanded to serve the increasingly diverse needs of students. The Fourier transform now has its own chapter; a simplified approach is adopted, and diffraction theory, together with supporting material on wave motion, is included. Many changes enhancing clarity have been made in other chapters. The chapter on projects using Mathematica has been extended to cover these changes: the associated programs are freely available on Keele University, Mathematics Department web site. Chapters and sections are designed to be largely self-contained, allowing students to concentrate on the specific methods they need to master and use. The book contains nearly 500 worked examples, more than 2000 problems (with selected answers), and over 120 computing projects. The text is accessible, widely illustrated, and stands as an ideal introduction on mathematical methods at university level.
- Sales Rank: #3188790 in Books
- Published on: 2002-07-15
- Original language: English
- Number of items: 1
- Dimensions: 7.40" h x 1.90" w x 9.60" l, .0 pounds
- Binding: Paperback
- 880 pages
Review
"Brief modular chapters include more than 500 worked examples, making the book useful as a quick reference."--SciTech Book News
About the Author
Dominic Jordan and Peter Smith are members of the Mathematics Department at Keele University. They both have long experience of teaching this material, at many different levels, and to a wide variety of students.
Most helpful customer reviews
29 of 29 people found the following review helpful.
Remarkably Clear And Comprehensive Mathematics Primer
By Rahman
Whether your personal focus is upon mathematics, engineering, physics, or even computer science or the arts, this work provides a superb instructional foundation for applied mathematics.
Beginning with differentiation and integration, the text continues on its mathematical journey, taking the reader through complex numbers, linear algebra, differential equations, even LaPlace transforms and Fourier series. It then ends with overview chapters on such varied topics as graph theory, set theory, boolean algebra, probability and statistics. In addition there is a section devoted to using symbolic computing with applications such as Mathematica, which are essential to anyone interested in learning or using mathematics today.
The overall look of the book is exquisite. The typefaces, equations and graphs are a pleasure to the eye (even as they grow substantially in complexity). The prose discusses the subject matter with rigor, yet is easy to read and guides gradually and carefully.
Anyone wishing to review the fundamentals of mathematics or to further the education started through school will find this book to be a joy to go through. Solutions to many exercises are provided in an appendix.
The softcover edition is highly durable. Upon completion of every chapter the reader will have substantial expertise in or exposure to major branches and topics of mathematics. For this wealth of information to have so low a cost is remarkable.
Highest possible recommendation, with superlative marks in virtually all categories of review.
** UPDATE FOR THIRD EDITION :
The formatting of the book has been changed subtly but noticeably, maintaining the original elegance. Content has been changed and restructured minimally.
Perhaps the most significant change, is that every one of the hundreds of exercises in the 41 chapters of this book has now been solved, and is available at the publisher's website in Acrobat (.PDF) format. The link is provided in the book itself.
Additionally, there are far more Mathematica projects than earlier editions, several per each chapter in fact, and again, programmatic-solutions for all of these are provided at another site, its link also in the book. These are in .NB (Mathematica NoteBook) format, and can be read by any text-editor including Notepad. They can also be viewed and tested using Mathematica Reader, a free program distributed by Mathematica's author, available for Windows, Mac OS, and Linux.
These significant updates fully address what was arguably the only previous weakness in this fine work.
6 of 6 people found the following review helpful.
Great coverage, good examples, a bible !
By Charles-Eric Langlois
First, if you haven't noticed yet, this is NOT an advanced math book. Don't expect detailed demonstrations or complexe problems to solve. It is a global reference for engineers or anyone dealing with intermediate maths. If you want to explore the subjects covered in this book with deep details, you should buy a book per chapter.
The content is well divided in numerous chapters, each covering a specific field like geometry, linear and vector algebra, calculus, Laplace and Fourier transforms and series, statistics (less useful, a complete reference is better). The book starts with a good introduction recalling important concepts required to understand the following chapters (partial fractions expansion, functions, complex numbers, matrix, algebra, etc.) Once you master these, you can move throughout the chapters and master or revise the math techniques with the great examples (well explained, they generally cover most of the possible cases).
A complete set of problems with answers is available at the end of each chapter. The book is well illustrated, but a few graphs could have been more clear.
A great reference book for any math user. Complete, it is an extended summary of a dozen of other "specific subject" books.
6 of 8 people found the following review helpful.
Good text reference
By A Customer
If you need as few texts as possible that cover all the maths you need for engineering purposes, this book is a must buy. Adding Kreyzig's Advanced Engineering Mathematics and maybe a Statistics text to it and you should have no problems with 99% of the maths for the rest of your life (unless you want to do substantial computer program design, in which a discrete maths text may help).
A few problems though: a proper treatment on sequences and series is absent, l'Hopital's rule is not discussed either (both presumably because they are too pure maths for engineering, but some advanced engineering maths courses do use them), and there are some topics (like Simpson's rule) that are only discussed in problems sections but not in the main text.
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