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Springer International Publishing AG 2017

Marian Murean Introduction to Mathematica with Applications 10.1007/978-3-319-52003-2_1

1. About Mathematica

Marian Murean 1

(1)

Faculty of Mathematics and Computer Science, Babe-Bolyai University, Cluj-Napoca, Romania

1.1 Introduction

Mathematica is a product of Wolfram Research on the address http://www.wolfram.com/ . The complete documentation for an effective use of Mathematica can be found at that page. The documentation is clear in explanation, rich in examples, and fundamental for everybody working with Mathematica . Therefore, we avoided repeating explanations of the rules of arithmetic operations, syntaxes of the commands, built-in functions, etc. We let this pleasure to the reader to discover them by the references given herein.

The evolution of the logos of Mathematica is introduced at .

Fig. 1.1

Spikeys

The versions of spikeys are shown in Fig.

Fig. 1.2

Versions of spikeys

GraphicsGrid[Partition[

MapIndexed[Show[#1,PlotLabelVersion <>ToString[#2[[1]]]] &,

Take[spikeys,10]],4,4,{1,1},{}],ImageSize550,AlignmentTop]

and all are trademarks of Wolfram Research.

Along the present book, we used Mathematica 10.3; its logo is given in Fig..

Fig. 1.3

The spikey of this version

Mathematica is a very versatile and powerful package for numeric, symbolic, and graphic calculus and even much more. Besides the documentation for Mathematica , there are a lot of interesting books leading the reader into this miraculous world. We mention here only a few titles []. A very important and useful activity is the series of video workshops generously offered by Wolfram Research.

1.1.1 Warning

This book is intended to be only an introduction to Mathematica , mainly from the point of view of a mathematician according to his experience. Mathematica is much larger than we present it here and is continuously growing fast. Therefore, it is hard to predict how it will look like over a decade.

References

Abell, M.L., Braselton, J.P.: Differential Equations with Mathematica . AP Professional, Boston (1993)

Adamchik, V., Wagon, S.: A 2000-year search changes direction. Math. Educ. Res. (1), 1119 (1996). {w}ww.cs.cmu.edu/~adamchik/articles/pi/pi.htm

Adamchik, V., Wagon, S.: A simple formula for . Am. Math. Mon. (9), 852855 (1997)

Alexander, R.: Diagonally implicit Runge-Kutta methods for stiff O.D.Es. SIAM J. Numer. Anal. (6), 10061021 (1977)

Backhouse, N.: Pancake functions and approximations to . Math. Gaz. , 371374 (1995). Note 79.36

Bailey, D.H., Borwein, P.B., Plouffe, S.: On the rapid computation of various polylogarithmic constants. Math. Comput. (218), 903913 (1997) MathSciNet CrossRef MATH

Baruah, D.N., Berndt, B.C., Chan, H.H.: Ramanujans series for 1: a survey. Am. Math. Mon. (7), 567587 (2009) MathSciNet CrossRef MATH

Bellard, F.: Computation of the nth digit of in any base in O ( n 2) (1997). fabrice.bellard.free.fr/pi/

Borwein, J.M., Borwein, P.B.: The class three Ramanujan type series for 1. J. Comput. Appl. Math. (12), 281290 (1993)

Borwein, J.M., Borwein, P.B., Bailey, D.H.: Ramanujan, modular equations, and approximations to or how to compute one billion digits of . Am. Math. Mon. (3), 201219 (1989)

Borwein, J.M., Skerritt, M.P.: An Introduction to Modern Mathematical Computing with Mathematica . Springer Undergraduate Text in Mathematics and Technology. Springer, New York (2012)

Brun, V.: Carl Strmer in memoriam. Acta Math. (12), IVII (1958)

Bryson, A.E., Ho, Y.C.: Applied Optimal Control: Optimization, Estimation, and Control. Halsted Press, New York (1975)

Burns, R.E., Singleton, L.G.: Ascent from the lunar surface. Technical report TN D-1644, NASA, George C. Marshall Space Flight Center, Huntsville (1965)

Cesari, L.: OptimizationTheory and Applications. Problems with Ordinary Differential Equations. Applications of Mathematics, vol. 17. Springer, New York (1983)

Champion, B.: General Visualization Quick Start. Wolfram Research, Champaign (2013).{w}ww.wolfram.com/training/courses/vis412.html

Chudnovsky, D.V., Chudnovsky, G.V.: The computation of classical constants. Proc. Natl. Acad. Sci. USA (21), 81788182 (1989) MathSciNet CrossRef MATH

Cloitre, B.: A BBP formula for 2 in golden base (2003). abcloitre@wanadoo.fr

Dennis Lawrence, J.: A Catalog of Special Plane Curves. Dover, New York (1972)

Don, E.: Mathematica. Schaums Outlines Series. McGraw Hill, New York (2009)

Ebbinghaus, H.D., Peckhaus, V.: Ernst Zermelo. An Approach to His Life and Work. Springer, Berlin/Heidelberg (2007)

Elkies, N.D.: On a 4 + b 4 + c 4= d 4. Math. Comput. (184), 825835 (1988)

Fay, T.H.: The butterfly curve. Am. Math. Mon. (5), 442443 (1989) CrossRef

Ferguson, H., Gray, A., Markvorsen, S.: Costas minimal surface via Mathematica . Math. Educ. Res. (1), 510 (1966)

Finch, S.R.: Zermelos navigation problem. In: Mathematical Constants II. Encyclopedia of Mathematics and Its Applications. Cambridge University Press, Cambridge (Forthcoming)

Floyd, R.W.: Algorithm 245: treesort. Commun. ACM (12), 701 (1964) CrossRef

Frye, R.E.: Finding 958004 + 2175194 + 4145604=4224814 on the connection machine. In: Proceedings of Supercomputing88. Science and Applications, vol. 2, pp. 106116 (1988)

Gourevitch, B., Guillera Goyanes, J.: Construction of binomial sums for and polylogarithmic constants inspired by BBP formula. Appl. Math. E-Notes , 237246 (2007). www.math.nthu.edu.tw/~amen

Gradshteyn, S.G., Ryzhik, I.M.: Tables of Integrals, Series, and Products, 7th edn. Elsevier, Amsterdam (2007) MATH

Guillera, J., Zudilin, W.: Ramanujan-type for 1: the art of translation. In: Bruce, D.P., Berndt, C. (eds.) The Legacy of Srinivasa Ramanujan. Lecture Notes Series, vol. 20, pp. 181195. Ramanujan Mathematical Society (2013). arXiv 1302.0548

Hartman, P.: Ordinary Differential Equations, 1st edn. Wiley, Hoboken (1964) MATH

Hastings, C., Mischo, K., Morrison, M.: Hands-On Start to Wolfram Mathematica and Programming with the Wolfram Language TM . Wolfram Media, Champaign (2015)

Hazrat, R.: Mathematica: A Problem-Centered Approach. Springer Undergraduate Mathematics Series, vol. 53. Springer, London (2010)

Hoare, C.A.R.: Algorithm 64: quicksort. Commun. ACM (7), 321 (1961) CrossRef

Hull, D.G.: Optimal guidance for Lunar ascent. Adv. Astronaut. Sci. , 275285 (2009). Proccedings of the AAS Space Flight Machanics Meeting, Savannach

Hull, D.G.: Optimal guidance for quasi-planar Lunar ascent. J. Optim. Theory Appl. (2), 353372 (2011) MathSciNet CrossRef MATH

Hull, D.G., Harris, M.W.: Optimal solutions for quasiplanar ascent over a spherical Moon. J. Guid. Control Dyn. (4), 12181224 (2012). doi: 10.2514/1.55443 CrossRef

Knuth, D.E.: The Art of Computer Programming. Sorting and Searching. Computer Science and Information Processing, vol. 3. Addison-Wesley, Reading (1973)

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