Maple and Mathematica
A Problem Solving Approach for Mathematics
(Sprache: Englisch)
This reference consists of core material for incorporating Maple and Mathematica as a working tool into different undergraduate mathematical courses, including algebra, geometry, calculus, complex functions, special functions and mathematical equations.
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This reference consists of core material for incorporating Maple and Mathematica as a working tool into different undergraduate mathematical courses, including algebra, geometry, calculus, complex functions, special functions and mathematical equations.
Klappentext zu „Maple and Mathematica “
In the history of mathematics there are many situations in which cal- lations were performed incorrectly for important practical applications. Let us look at some examples, the history of computing the number ? began in Egypt and Babylon about 2000 years BC, since then many mathematicians have calculated ? (e. g. , Archimedes, Ptolemy, Vi` ete, etc. ). The ?rst formula for computing decimal digits of ? was disc- ered by J. Machin (in 1706), who was the ?rst to correctly compute 100 digits of ?. Then many people used his method, e. g. , W. Shanks calculated ? with 707 digits (within 15 years), although due to mistakes only the ?rst 527 were correct. For the next examples, we can mention the history of computing the ?ne-structure constant ? (that was ?rst discovered by A. Sommerfeld), and the mathematical tables, exact - lutions, and formulas, published in many mathematical textbooks, were not veri?ed rigorously [25]. These errors could have a large e?ect on results obtained by engineers. But sometimes, the solution of such problems required such techn- ogy that was not available at that time. In modern mathematics there exist computers that can perform various mathematical operations for which humans are incapable. Therefore the computers can be used to verify the results obtained by humans, to discovery new results, to - provetheresultsthatahumancanobtainwithoutanytechnology. With respectto our example of computing?, we can mention that recently (in 2002) Y. Kanada, Y. Ushiro, H. Kuroda, and M.
This book compares the two computer algebra programs, Maple and Mathematica used by students, mathematicians, scientists, and engineers.
Structured by presenting both systems in parallel, Mathematica's users can learn Maple quickly by finding the Maple equivalent to Mathematica functions, and vice versa.
This student reference handbook consists of core material for incorporating Maple and Mathematica as a working tool into different undergraduate mathematical courses (algebra, geometry, calculus, complex functions, special functions, integral transforms, mathematical equations).
Part I describes the foundations of Maple and Mathematica (with equivalent problems and solutions). Part II describes Mathematics with Maple and Mathematica by using equivalent problems.
Structured by presenting both systems in parallel, Mathematica's users can learn Maple quickly by finding the Maple equivalent to Mathematica functions, and vice versa.
This student reference handbook consists of core material for incorporating Maple and Mathematica as a working tool into different undergraduate mathematical courses (algebra, geometry, calculus, complex functions, special functions, integral transforms, mathematical equations).
Part I describes the foundations of Maple and Mathematica (with equivalent problems and solutions). Part II describes Mathematics with Maple and Mathematica by using equivalent problems.
Inhaltsverzeichnis zu „Maple and Mathematica “
From the contents Preface.- Foundations of Maple and Mathematica: Maple; Mathematica.- Mathematics: Maple and Mathematica: Graphics; Algebra; Linear Algebra; Geometry; Calculus and Analysis; Complex Functions; Special Functions and Orthogonal Polynomials; Integral and Discrete Transforms; Mathematical Equations; Numerical Analysis and Scientific Computing.- References.- General Index.- Maple Index.- Mathematica Index.- CD-ROM Contents.
Bibliographische Angaben
- Autoren: Carlos Lizárraga-Celaya , Inna K. Shingareva
- 2009, 2nd ed. 2009, 504 Seiten, Maße: 15,5 x 23,5 cm, Kartoniert (TB), Englisch
- Verlag: Springer Vienna
- ISBN-10: 3211994319
- ISBN-13: 9783211994313
- Erscheinungsdatum: 01.09.2009
Sprache:
Englisch
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