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The Mathematica GuideBook for Symbolics [Englisch] [Gebundene Ausgabe]

Michael Trott

Preis: EUR 93,90 kostenlose Lieferung. Siehe Details.
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28. November 2005 0387950206 978-0387950204 2006

Provides reader with working knowledge of Mathematica and key aspects of Mathematica symbolic capabilities, the real heart of Mathematica and the ingredient of the Mathematica software system that makes it so unique and powerful

Clear organization, complete topic coverage, and an accessible writing style for both novices and experts

Website for book with additional materials: http://www/MathematicaGuideBooks.org

Accompanying DVD containing all materials as an electronic book with complete, executable Mathematica 5.1 compatible code and programs, rendered color graphics, and animations

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The Mathematica GuideBook for Symbolics + The Mathematica Guidebook for Programming (w. DVD) + The Mathematica GuideBook for Numerics: Mathematics and Physics
Preis für alle drei: EUR 254,75

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From the reviews:

"The book is filled with Mathematica programming gems and is particularly valuable for researchers using special functions in their work because of extensive coverage of these topics. … Every chapter has numerous exercises with full solutions. Every computer science, mathematics, physics, engineering library should have this … on its shelves, because this is the best source of the applications of Mathematica to numerous computational tasks." (Matti Vuorinen, Zentralblatt MATH, Vol. 1095 (21), 2006)

"This guidebook has three chapters. … I enjoyed reading the symbolics Guidebook. … take the reader on a thrilling tour of the features of Mathematica. I am impressed with the breadth and depth of Trott’s coverage and his profound understanding of the strengths and limitations of Mathematica. … includes a multiplatform DVD-ROM which allows the reader to experiment with code and view graphics in color. … an invaluable resource and classic reference for scientists who use Mathematica in teaching or research." (Willy Hereman, SIAM Review, Vol. 49 (1), 2007)


Mathematica is today's most advanced technical computing system. It features a rich programming environment, two-and three-dimensional graphics capabilities and hundreds of sophisticated, powerful programming and mathematical functions using state-of-the-art algorithms. Combined with a user-friendly interface, and a complete mathematical typesetting system, "Mathematica" offers an intuitive easy-to-handle environment of great power and utility. "The Mathematica GuideBook for Symbolics" (code and text fully tailored for Mathematica 5.1) deals with Mathematica's symbolic mathematical capabilities. Structural and mathematical operations on single and systems of polynomials are fundamental to many symbolic calculations and they are covered in considerable detail. The solution of equations and differential equations, as well as the classical calculus operations (differentiation, integration, summation, series expansion, limits) are exhaustively treated. Generalized functions and their uses are discussed. In addition, this volume discusses and employs the classical orthogonal polynomials and special functions of mathematical physics.

To demonstrate the symbolic mathematics power, a large variety of problems from mathematics and physics are discussed.

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In diesem Buch (Mehr dazu)
The functions discussed in this chapter form the most unique part of Mathematica's mathematical capabilities. Lesen Sie die erste Seite
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Format:Gebundene Ausgabe
Trott is one of the most gifted programmers and teachers you'll ever encounter, and one of the few mathematicians left who knows CAS at a PhD level and DOESN'T work for TI or HP with all kinds of "I won't tell" agreements! The four guidebooks in the Mathematica series represent over 5,000 pages detailing all aspects of numerics, symbolics, graphics, and most importantly, programming. No mathematician, engineer, researcher (including "R" biostats folks), computer scientist or physicist using mathematica can pass on this series.

Even if you use a "free" version of GNU-CAS or the home version of Mathematica (Wolfram Mathematica 9 Home Edition (Windows/Mac/Linux)), this series gives a peek into CAS levels that have long been unpatented trade secrets of TI and HP and very tough to decode. NO other good recent books cover the behind the curtain aspects of CAS as well as these volumes. If you're a math programmer, even if you love Maple, you'll find this series way helpful, at all kinds of levels.

Mathematica is a layered object language, and has multiple compile levels (with an overriding interpreter), which are essentially functions in what, as a programmer, you'd call arrays or hashes (or in Mathematica-speak, lists, functions, rules and patterns). You MUST read the programming book to "get" the rest of the series, otherwise you'll be stuck in what seems like a no-man's land of not being able to define your own classes yet not being able to use typical CAS-like functions in assembly-- when in fact both, and much more, are supported once you get it. We still use the graphics volume at our shader joes sub, and it is as relevant in 2013 as it was 5 years ago. I probably don't have to mention that a C++ compiler is a must beyond a certain level of coding. The difference in "getting" the unique symbolics is code that takes forever to run vs. code that executes as if directly compiled just like Fortran.

Now, for the Amazon deal. The simply AMAZING DVD that comes when you buy one of these volumes new (or used with a SPECIFIED unopened DVD) has an incredible reference with the texts for all the volumes. So, if you have an interest in one area over another (programming, symbolics, numerics, graphics), you can get that 1,000 to 1,300 page gem, and still read all the rest! I personally recommend getting the one you want new on Amazon to be sure you get the whole, functional DVD. Given that these are starting to skyrocket in price due to supply/demand, that could literally save you $300 or more. If you do find a good "deal" from a third party, follow this algorithm:

1. MAKE SURE the description on the LEFT (with the product condition) specifically says an unopened DVD is included. You can even comb the 4 volumes under Amazon's "see all offers" feature to find this statement.

2. Obviously, if the listing says "associated media MAY not be present" etc., do NOT buy there. Less obviously, if it says nothing but a condition like good or acceptable, remember that "good" itself CAN INCLUDE the UNSTATED spec that media "may" be missing. Pass there too!

3. In addition to the "includes unopened DVD," buy from a minimum 96% rated seller with at least 1,000 ratings, and be sure they SAY where they are shipping from. China and India do NOT have to tell you this, although they do have to meet Amazon's delivery time ranges. You just can't be sure what long transport times will do to media if it's not in the original, sealed shell. Joining Prime also gives the option of warehouse shipping free from Amazon itself if a third party tells you the above, yet Amazon warehouses and ships. That gives the added advantage of Amazon's professional packaging.

Regardless of which volume your prefer, you need to start by reading volume one, the programming text, or you'll be lost even in graphics. Programming not only gives you a crash course in CAS, but shows the many unique functions and methods of this software. It really is a hybrid between CAS functions and libraries and much more C++ looking calls and features if you get into it deeply. This allows you to come from many different points of view, and help learn the others if you wish. Truly an extraordinary series, in math/computer education as well as using the software to its full ability. The publisher advertises these as stand alone, which is true, but ONLY because the DVD allows you to read programming first! Without the DVD, that statement is misleading (which isn't the publisher's or Amazon's fault, let alone the author!).

One joke says that the definition of discrete math today is all the math/computer UI's they've removed from High School now! Don't get me started. Removing a calculus requirement means we're teaching 2,500 year old math to many of our HS grads. Adding just the basics of calc brings them up to 1666. If you teach, consider sneaking wisdom from these texts into your courses; we might even begin to bring our grandkids up to 1960 or so!!!

Library Picks reviews only for the benefit of Amazon shoppers and has nothing to do with Amazon, the authors, manufacturers or publishers of the items we review. We always buy the items we review for the sake of objectivity, and although we search for gems, are not shy about trashing an item if it's a waste of time or money for Amazon shoppers. If the reviewer identifies herself, her job or her field, it is only as a point of reference to help you gauge the background and any biases.
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