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Complex Analysis with MATHEMATICA®, by William T. Shaw
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Complex Analysis with Mathematica offers a new way of learning and teaching a subject that lies at the heart of many areas of pure and applied mathematics, physics, engineering and even art. This book offers teachers and students an opportunity to learn about complex numbers in a state-of-the-art computational environment. The innovative approach also offers insights into many areas too often neglected in a student treatment, including complex chaos and mathematical art. Thus readers can also use the book for self-study and for enrichment. The use of Mathematica enables the author to cover several topics that are often absent from a traditional treatment. Students are also led, optionally, into cubic or quartic equations, investigations of symmetric chaos, and advanced conformal mapping. A CD is included which contains a live version of the book, and the Mathematica code enables the user to run computer experiments.
- Sales Rank: #1732807 in Books
- Brand: Brand: Cambridge University Press
- Published on: 2006-06-12
- Original language: English
- Number of items: 1
- Dimensions: 9.72" h x 1.30" w x 6.85" l, 2.95 pounds
- Binding: Hardcover
- 571 pages
- Used Book in Good Condition
Review
"William Shaw's Complex Analysis with Mathematica is a remarkable achievement. It masterfully combines excellent expositions of the beauties and subtlety of complex analysis, and several of its applications to physical theory, with clear explanations of the flexibility and the power of Mathematica for computing and for generating marvellous graphical displays."
Roger Penrose, University of Oxford
"This is an innovative text in which the basic ideas of complex analysis are skillfully interwoven with geometry, chaos and physics through the learning and repeated application of Mathematica. This text moves from complex numbers, quadratic and cubic equations through to the Schwarz-Christoffel transformation and four-dimensional physics, and at each stage promotes understanding through geometric intuition and reader participation. It should appeal to anyone with an interest in the geometric side of complex analysis."
Alan F. Beardon, University of Cambridge
"This book provides an inspiring way to learn complex analysis thanks to the inclusion of many topics of current interest in the field as well as the integration of highly visual Mathematica routines throughout. The book is sure to excite students about the field."
Bob Devaney, Boston University
2007 Outstanding Academic Title -- Choice Magazine
About the Author
William Shaw is a tutor in Mathematics at St Catherine's College, Oxford.
Most helpful customer reviews
6 of 6 people found the following review helpful.
The code no longer works in the current Mathematica version
By Roger Bagula
The section on symmetric chaos in the complex plane is inspired.
My library book lacks the cd rom, but tried typing in the Joukowski[]
plotting function only too find that it is almost impossible to translate into
the current version. I haven't tried other program code,
but that sure makes the price of the book seem high, if few of the programs work
anymore? Translation to the modern version of Mathematica would take time
and be hard for beginning students. If the coverage and worth of the
book were just the code I would give it a lower rating, but the author
has given new insight in many areas of complex analysis and
the book is worth reading by serious students.
20 of 25 people found the following review helpful.
A true delight
By Daniel M. Topa
What a wonderful and delightful book. The author has taken a well-worn topic and infused it with insight and energy. Best of all, the author communicates simply and clearly. He has brought graduate complex analysis to the masses; I wish that I had a book like this as an undergraduate. It is also a great read: the kind of pick you could pick up and go cover to cover with. However, you'll probably want to be at your keyboard trying out his many examples. The unique thing about this tome is that it is well-written, it is mathematically ambitious and it is an invaluable reference for how to use Mathematica. Also, as we have come to expect from Cambridge, this book has excellent production quality.
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