Skip to main content Accessibility help
×
Hostname: page-component-78c5997874-s2hrs Total loading time: 0 Render date: 2024-11-05T19:49:12.993Z Has data issue: false hasContentIssue false

References

Published online by Cambridge University Press:  05 December 2015

Get access

Summary

Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Chapter
Information
Publisher: Cambridge University Press
Print publication year: 2015

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Abbott, Paul. 1998. Finding roots in an interval. The Mathematica Journal, 7(2), 108–112. www.mathematica-journal.com/issue/v7i2/tricks/contents/html/Links/tricks_lnk_5.html.Google Scholar
Aldous, David and James Allen, Fill. 2002. Reversible Markov Chains and Random Walks on Graphs. unfinished monograph, recompiled 2014. www.stat.berkeley.edu/~aldous/RWG/book.pdf (accessed 27 June 2015).
Bailey, David H., Jonathan M., Borwein, Cristian S., Calude, Michael J., Dinneen, Monica, Dumitrescu, and Alex, Yee. 2012. Normality and the digits of p, in Exploratory Experimentation in Mathematics: Selected Works. Perfectly Scientific Press.Google Scholar
Barber, Michael N. and Barry W., Ninham. 1970. Random and Restricted Walks: Theory and Applications. Gordon and Breach.Google Scholar
Bar-Yossef, Ziv and Maxim, Gurevich. 2006. Random sampling from a search engine's index, in Proceedings of the 15th International Conference on World Wide Web,WWW'06. ACM. dx.doi.org/10.1145/1135777.1135833.
Bergerson, HowardW. 1973. Palindromes and Anagrams. Dover.Google Scholar
Bird, Steven, Ewan, Klein, and Edward, Loper. 2009. Natural Language Processing with Python: Analyzing Text with the Natural Language Toolkit. O'Reilly Media.Google Scholar
Blum, Lenore. 2012. Alan Turing and the other theory of computation, in Proceedings of the 17th Annual Conference on Innovation and Technology in Computer Science Education, ITiCSE ’12. ACM. dx.doi.org/10.1145/2325296.2325299.
Bollobás, Béla. 2001. Random Graphs, second edition. Cambridge University Press.CrossRefGoogle Scholar
Bolotin, Alexander, Benoit, Quinquis, Alexei, Sorokin, and S. Dusko, Ehrlich. 2005. Clustered regularly interspaced short palindrome repeats (CRISPRs) have spacers of extrachromosomal origin. Microbiology, 151(8), 2551–2561. dx.doi.org/10.1099/mic.0.28048-0.Google ScholarPubMed
Borges, Jorge Luis. 2007. The Library of Babel, in Labyrinths: Selected Short Stories & Other Writings. New Directions.
Bourke, Paul. 2001. Julia Set Fractal(2d). www.paulbourke.net/fractals/juliaset.
Bowerman, Bruce L., Richard T., O'Connell, and Anne B., Koehler. 2005. Forecasting, Time Series, and Regression: An Applied Approach, fourth edition. Thomson Brooks/Cole.Google Scholar
Box, George E.P., Gwilym M., Jenkins, and Gregory C., Reinsel. 2008. Time Series Analysis: Forecasting and Control, fourth edition. John Wiley & Sons.CrossRefGoogle Scholar
Boyer, Carl B. 1991. A History of Mathematics, second edition. Princeton University Press.Google Scholar
Brent, Richard P. 1980. An improved Monte Carlo factorization algorithm. BIT, 20(2), 176–184. maths-people.anu.edu.au/~brent/pd/rpb051i.pdf.CrossRefGoogle Scholar
California Department of Water Resources. Storage in major reservoirs, Data Exchange Center. cdec.water.ca.gov/cgi-progs/reservoirs/STORAGE (accessed 15 Aug 2015).
Callaway, Duncan S., Mark E.J., Newman, Steven H., Strogatz, and Duncan J., Watts. 2000. Network robustness and fragility: percolation on random graphs. Physical Review Letters, 85(25), 5468–5471. arxiv.org/pdf/cond-mat/0007300.pdf.CrossRefGoogle ScholarPubMed
Car, Talk. 2007. This week's puzzler, June 25. www.cartalk.com/content/puzzlers.
Center for Cancer Systems Biology. Caenorhabditis elegans, Worm interactome database. interactome.dfci.harvard.edu/C_elegans (accessed 24 Mar 2015).
Centre for Applied Linguistics, University of Warwick. Text transcripts and tagged texts, British Academic Spoken English (Base). www2.warwick.ac.uk/fac/soc/al/research/collect/base/lecturetranscripts (accessed 13 June 2014).
Ceruzzi, Paul E. 2012. Computing: A Concise History. MIT Press.Google Scholar
Chatfield, Christopher. 2004. The Analysis of Time Series: An Introduction, sixth edition. Chapman & Hall/CRC Press.Google Scholar
Chomsky, Noam. 2002. Syntactic Structures, second edition. Mouton de Gruyter.CrossRefGoogle Scholar
Chung, Fan and Wenbo, Zhao. 2010. PageRank and random walks on graphs, in Fete of Combinatorics and Computer Science: Bolyai Society Mathematical Studies, Volume 20. Springer. dx.doi.org/10.1007/978-3-642-13580-4_3.CrossRefGoogle Scholar
Churchhouse, Robert F. 2001. Codes and Ciphers: Julius Caesar, the Enigma, and the Internet. Cambridge University Press.CrossRefGoogle Scholar
Cipra, Barry. 2005. Third time proves charm for Prime-Gap Theorem. Science, 308(5726), 1238. dx.doi.org/10.1126/science.308.5726.1238.CrossRefGoogle ScholarPubMed
Clarkson, Kenneth L. and Peter W., Shor. 1989. Applications of random sampling in computational geometry, ii. Discrete & Computational Geometry, 4(1), 387–421. dx.doi.org/10.1007/BF02187740.CrossRefGoogle Scholar
Codling, Edward A., Michael J., Plank, and Simon, Benhamou. 2008. Random walk models in biology. Journal of The Royal Society Interface, 5(25), 813–834. dx.doi.org/10.1098/rsif.2008.0014.CrossRefGoogle ScholarPubMed
Conway, John H. and Richard K., Guy. 1996. Perfect numbers, in The Book of Numbers. Springer-Verlag.CrossRefGoogle Scholar
Cook, Stephen. 2000. The
P versus NP Problem. The Clay Mathematics Institute for Millennium Prize Problems. www.claymath.org/sites/default/files/pvsnp.pdf.
Costa, Luciano da Fontoura and Roberto Marcondes, Cesar. 2001. Shape Analysis and Classi cation: Theory and Practice. CRC Press.Google Scholar
Cover, Thomas M. and Joy A., Thomas. 2006. Elements of Information Theory, second edition. Wiley Interscience.Google Scholar
Crandall, Richard E. 1994. Projects in Scientific Computation. TELOS/Springer-Verlag.CrossRefGoogle Scholar
Crandall, Richard E. 1996. Topics in Advanced Scientific Computation. TELOS/Springer-Verlag.CrossRefGoogle Scholar
Crandall, Richard E. and Carl, Pomerance. 2005. Prime Numbers: A Computational Perspective, second edition. Springer.Google Scholar
Cristianini, Nello and Matthew W., Hahn. 2007. Introduction to Computational Genomics: A Case Studies Approach. Cambridge University Press.Google Scholar
Datta, Bibhutibhusan and Avadhesh N., Singh. 1938. History of Hindu Mathematics: A Source Book. Asia Publishing House.Google Scholar
Davis, Timothy A. and Yifan, Hu. 2011. The University of Florida sparse matrix collection. ACM Transactions on Mathematical Software, 38(1), 1–25. dx.doi.org/10.1145/2049662.2049663.CrossRefGoogle Scholar
Diceware. Time to add a word, The Diceware Security Blog. diceware.blogspot.com (accessed 14 Jul 2015).
Dijkstra, Edsger. 1981. Hamming's exercise in SASL, Report EWD792. www.cs.utexas.edu/users/EWD/ewd07xx/EWD792.PDF.
Downey, Allen B. 2012. Think Python: How to Think Like a Computer Scientist. O'Reilly Media.Google Scholar
Duchamp, Marcel. 1926. Anémic Cinéma. UbuWeb. www.ubu.com/film/duchamp_anemic.html.
Duff, Iain S., Roger G., Grimes, and John G., Lewis. 1989. Sparse matrix test problems. ACM Transactions on Mathematical Software, 15(1), 1–14. dx.doi.org/10.1145/62038.62043.CrossRefGoogle Scholar
Edelman, Alan and Gilbert, Strang. 2004. Pascal matrices. American Mathematical Monthly, III(3), 361–385. dx.doi.org/10.2307/4145127.Google Scholar
Encyclopedia of Triangle Centers. Introduction and centers, faculty.evansville.edu/ck6/encyclopedia/ETC.html (accessed 25 Mar 2015).
Enderton, Herbert B. 1972. A Mathematical Introduction to Logic. Academic Press.Google Scholar
Erdos, Paul and Alfred, Rényi. 1959. On random graphs i. Publicationes Mathematicae Debrecen, 6, 290–297. www.renyi.hu/~p_erdos/1959-11.pdf.Google Scholar
Floyd, Robert W. 1962. Algorithm 97: shortest path. Communications of the ACM, 5(6), 345. dx.doi.org/10.1145/367766.368168.CrossRefGoogle Scholar
Floyd, Robert W. 1979. The paradigms of programming. Communications of the ACM, 22(8), 455–460. dx.doi.org/10.1145/359138.359140.CrossRefGoogle Scholar
Frege, Gottlob. 1879. Begriffsschrift, a formal language, modeled upon that of arithmetic, for pure thought, in From Frege to G del: A Source Book in Mathematical Logic, 1879–1932, ed. Jean van, Heijenoort. Harvard University Press.Google Scholar
Friedl, Jeffrey E.F. 2006. Mastering Regular Expressions, third edition. O'Reilly Media.Google Scholar
Gardner, Martin. 1978. Perfect, amicable, sociable, in Mathematical Magic Show: More Puzzles, Games, Diversions, Illusions and Other Mathematical Sleight-of-Mind from Scienti c American. Random House.Google Scholar
Gardner, Martin. 1992. Fractal Music, Hypercards, and More…Mathematical Recreations from Scientific American Magazine.W.H. Freeman.Google Scholar
Gaylord, Richard J. and Paul R., Wellin. 1995. Computer Simulations with Mathematica: Explorations in Complex Physical and Biological Systems. TELOS/Springer-Verlag.Google Scholar
Gibbs, Adrian J. and George A., Mcintyre. 1970. The Diagram, a method for comparing sequences; its use with amino acid and nucleotide sequences. European Journal of Biochemistry, 16(1), 1–11. dx.doi.org/10.1111/j.1432-1033.1970.tb01046.x.CrossRefGoogle ScholarPubMed
Goldreich, Oded. 2010. P, NP, and NP-Completeness: The Basics of Computational Complexity. Cambridge University Press.CrossRefGoogle Scholar
Golin, Mordecai and Robert, Sedgewick. 1988. Analysis of a simple yet efficient convex hull algorithm, in Proceedings of the Fourth Annual Symposium on Computational Geometry. dx.doi.org/10.1145/73393.73409.CrossRef
Graham, Paul. 2002. The roots of Lisp. www.paulgraham.com/lisp.html.
Graham, Ronald. 1972. An ef cient algorithm for determining the convex hull of a finite planar set. Information Processing Letters, I(4), 132–133. dx.doi.org/10.1016/0020-0190(72)90045-2.Google Scholar
Graham, Ronald, Donald E., Knuth, and Oren, Patashnik. 1994. Concrete Mathematics: A Foundation for Computer Science, second edition. Addison-Wesley.Google Scholar
Grimmett, Geoffrey. 1999. Percolation, second edition. Springer.CrossRefGoogle Scholar
Grünbaum, Branko. 1984. On Venn diagrams and the counting of regions. The College Mathematics Journal, 15(5), 433–435. www.jstor.org/stable/2686559.Google Scholar
Hamming, Richard W. 1950. Error detecting and error correcting codes. The Bell System Technical Journal, 29(2), 147–160. archive.org/details/bstj29-2-147.CrossRefGoogle Scholar
Hamming, RichardW. 1989. Digital Filters, third edition. Prentice-Hall.Google Scholar
Har-Peled, Sariel. 2001. A practical approach for computing the diameter of a point set, in Proceedings of the Seventeenth Annual Symposium on Computational Geometry, SCG'01. Association of Computing Machinery. doi.acm.org/10.1145/378583.378662.Google Scholar
Haskell, Wiki. The Fibonacci sequence, The Haskell Programming Language. www.haskell.org/haskellwiki/The_Fibonacci_sequence (accessed 13 Jan 2015).
Hathaway, David H. 2010. The solar cycle. Living Reviews in Solar Physics, 7, dx.doi.org/10.12942/lrsp-2010-1.CrossRefGoogle Scholar
Hayes, Allan. 1992. Sums of cubes of digits, driven to abstraction. Mathematica in Education, I(4), 3–11.Google Scholar
Heckbert, Paul S. 1994. Graphics Gems iv. AP Professional.
Herstein, Israel N. and Irving, Kaplansky. 1978. Matters Mathematical, second edition. AMS Chelsea Publishing.Google Scholar
Hill, Ted P. 1998. The first digit phenomenon. American Scientist, 86(4), 358–362. dx.doi.org/10.1511/1998.4.358.CrossRefGoogle Scholar
Hoffman, Paul. 1998. The Man Who Loved Only Numbers: The Story of Paul Erdos and the Search for Mathematical Truth. Hyperion.Google Scholar
Honsberger, Ross. 1995. Episodes of Nineteenth and Twentieth Century Euclidean Geometry. The Mathematical Association of America.Google Scholar
International Nucleotide Sequence Database Collaboration. DNA Databank of Japan. www.ddbj.nig.ac.jp/searches (accessed 24 Mar 2015).
Jarvis, Ray A. 1973. On the identification of the convex hull of a finite set of points in the plane. Information Processing Letters, 2(1), 18–21. dx.doi.org/10.1016/0020-0190(73)90020-3.CrossRefGoogle Scholar
Joyce, James. 1939. Finnegan's Wake. Viking Penguin.Google Scholar
Jurafsky, Daniel and James H., Martin. 2009. Speech and Language Processing: An Introduction to Natural Language Processing, Computational Linguistics, and Speech Recognition, second edition. Pearson Prentice Hall.Google Scholar
Kernighan, Brian W. and Dennis M., Ritchie. 1988. The C Programming Language, second edition. Prentice Hall.Google Scholar
Kimberling, Clark. 1994. Central points and central lines in the plane of a triangle.Mathematics Magazine, 67(3), 163–187. dx.doi.org/10.2307/2690608.CrossRefGoogle Scholar
Kimberling, Clark. 1998. Triangle Centers and Central Triangles, Congressus Numerantium, 129. Utilitas Mathematica Publishing.Google Scholar
Knapp, Rob. 2001. Numerical Mathematica, in 2001 International Mathematica Symposium.
Knuth, Donald E. 1992. Literate Programming. Center for the Study of Language and Information, Lecture Notes, no. 27.
Knuth, Donald E. 1993. The Stanford GraphBase: A Platform for Combinatorial Computing. ACM Press.Google Scholar
Knuth, Donald E. 1997. The Art of Computer Programming, Volume 1: Fundamental Algorithms, third edition. Addison-Wesley.Google Scholar
Knuth, Donald E. 1998. The Art of Computer Programming, Volume 3: Sorting and Searching, second edition. Addison-Wesley.Google Scholar
Knuth, Donald E. 2000. Textbook examples of recursion, in Selected Papers on Analysis of Algorithms. Center for the Study of Language and Information, Lecture Notes, no. 102. arxiv.org/abs/cs/9301113.
Knuth, Donald E. 2003. The early development of programming languages, in Selected Papers on Computer Languages. Center for the Study of Language and Information, Lecture Notes, no. 139.
Knuth, Donald E. 2011. The Art of Computer Programming, Volume 4a: Combinatorial Algorithms, Part 1. Addison- Wesley.Google Scholar
Lagarias, Jeffrey C., Victor S., Miller, and Andrew M., Odlyzko. 1985. Computing p(x): the Meissel– Lehmer method. Mathematics of Computation, 44(170), 537–560. dx.doi.org/10.1090/S0025-5718-1985-0777285-5.Google Scholar
Lagarias, Jeffrey C. and Andrew M., Odlyzko. 1987. Computing p(x): an analytic method. Journal of Algorithms, 8(2), 173–191. dx.doi.org/10.1016/0196-6774(87)90037-X.CrossRefGoogle Scholar
Lagarias, Jeffrey C. and K., Soundararajan. 2006. Benford's law for the 3 x + 1 function. Journal of the London Mathematical Society, 74(2), 289–303. dx.doi.org/10.1112/S0024610706023131.CrossRefGoogle Scholar
Lagarias, Jeffrey C. 2010. The 3 x + 1 problem and its generalizations, in The Ultimate Challenge: The 3 x + 1 Problem. American Mathematical Society.CrossRefGoogle Scholar
LAWLER, EUGENE L., JAN KAREL, LENSTRA, A.H.G. RINNOOY, KAN, and D.B., SHMOYS. 1985. The Traveling Salesman Problem: A Guided Tour of Combinatorial Optimization. John Wiley & Sons.Google Scholar
LESK, ARTHUR M. 2010. Introduction to Protein Science: Architecture, Function, and Genomics, second edition. Oxford University Press.Google Scholar
Lima, Manuel. 2011. Visual Complexity: Mapping Patterns of Information. Princeton Architectural Press.Google Scholar
Lin, Shen. 1965. Computer solutions of the traveling salesman problem. Bell System Technical Journal, 44, 2245–2269. ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=6767727.CrossRefGoogle Scholar
Lovász, L. 1993. Random walks on graphs: a survey. Combinatorics, Paul Erdos is Eighty, 2, 1–46. www.cs.elte.hu/~lovasz/erdos.pdf.
MacKay, David J.C. 2003. Information Theory, Inference and Learning Algorithms. Cambridge University Press.Google Scholar
Madachy, Joseph S. 1979. Madachy's Mathematical Recreations. Dover Publications.Google Scholar
Madras, Neal and Gordon, Slade. 2012. The Self-Avoiding Walk. Birkhäuser.Google Scholar
Maeder, Roman E. 1994. Animated algorithms. The Mathematica Journal, 4(4), 37–43. www.mathematicajournal. com/issue/v4i4/columns/maeder.Google Scholar
Maeder, Roman E. 1997. Programming in Mathematica, third edition. Addison-Wesley.Google Scholar
Maeder, Roman E. 2000. Computer Science with Mathematica: Theory and Practice for Science, Mathematics, and Engineering. Cambridge University Press.Google Scholar
Malandain, Grégoire and Jean-Daniel, Boissonnat. 2002. Computing the diameter of a point set, in Discrete Geometry for Computer Imagery. Lecture Notes in Computer Science, Vol. 2301. dx.doi.org/10.1007/3-540-45986-3_18.
Mandelbrot, Benoît. 1982. The Fractal Geometry of Nature. W.H. Freeman.Google Scholar
Mangano, Salvatore. 2010. Mathematica Cookbook. O'Reilly Media.Google Scholar
Manning, Christopher D. and Hinrich, Schütze. 1999. Foundations of Statistical Natural Language Processing. MIT Press.Google Scholar
Manning, Christopher D., Prabhakar, Raghavan, and Hinrich, Schütze. 2008. Introduction to Information Retrieval. Cambridge University Press.CrossRefGoogle Scholar
Maor, Eli. 1998. Trigonometric Delights. Princeton University Press.
Marsaglia, George. 1972. Choosing a point from the surface of a sphere. The Annals of Mathematical Statistics, 43(2), 645–646. dx.doi.org/10.1214/aoms/1177692644.CrossRefGoogle Scholar
Mathews, Max V., Joan E., Miller, F. Richard, Moore, John R., Pierce, and J.C., Risset. 1969. The Technology of Computer Music. The MIT Press.Google Scholar
McCarthy, John. 1979. History of Lisp. Artificial Intelligence Laboratory, Stanford University. wwwformal. stanford.edu/jmc/history/lisp/lisp.html.
McKay, Brendan D., Frédérique E., Oggier, Gordon F., Royle, N.J.A., Sloane, Ian M., Wanless, and Herbert S., Wilf. 2004. Acyclic digraphs and eigenvalues of (0,1)-matrices. Journal of Integer Sequences, 7(3), arxiv.org/abs/math/0310423.Google Scholar
Meringer, Markus and Eric W., Weisstein. Regular graph. MathWorld. mathworld.wolfram.com/RegularGraph.html.
Mersenne Research, Inc. List of known Mersenne primes, Great Internet Mersenne Prime Search. www.mersenne.org/prime.htm (accessed 24 Mar 2015).
Metropolis, Nicholas. 1987. The beginning of the Monte Carlo method, in Los Alamos Science, 1987 Special Issue dedicated to Stanislaw Ulam. library.lanl.gov/la-pubs/00326866.pdf.
Monnerot-Dumaine, Alexis. 2009. The Fibonacci word fractal. HAL Archives-Ouvertes. hal.archivesouvertes. fr/hal-00367972.
Moore, Cristopher and Mark E.J., Newman. 2000. Exact solution of site and bond percolation on smallworld networks. Physical Review E, 62(5), 7059–7064. dx.doi.org/10.1103/PhysRevE.62.7059.CrossRefGoogle Scholar
Nasa. Global temperature, Global Climate Change. climate.nasa.gov/vital-signs/global-temperature (accessed 24 Mar 2015).
National Center for Atmospheric Research. Global temperature data sets: overview & comparison table, The Climate Data Guide. climatedataguide.ucar.edu/collections/overview-comparison-page (accessed 12 Dec 2014).
National Center for Biotechnology Information. Nucleotide Database. www.ncbi.nlm.nih.gov/nuccore (accessed 25 Mar 2015).
National Center for Biotechnology Information. Serotonin, cid=5202, PubChem Compound Database. pubchem.ncbi.nlm.nih.gov/compound/5202 (accessed 25 Mar 2015). National Institute of Genetics. List of species, Genome Composition Database. esper.lab.nig.ac.jp/genome/?page=genome_composition_database_species_list (accessed 25 Mar 2015).
National Institute of Standards and Technology. Lag plot, e-Handbook of Statistical Methods. www.itl.nist.gov/div898/handbook/eda/section3/eda33f.htm (accessed 21 Apr 2015).
National Institute of Standards and Technology. Matrix Market, Sparse Matrix Collection. math.nist.gov/MatrixMarket/index.html (accessed 9 Oct 2014).
Newman, Mark E.J. 2010. Networks: An Introduction. Oxford University Press.CrossRefGoogle Scholar
Nigrini, Mark J. 2012. Benford's Law: Applications for Forensic Accounting, Auditing, and Fraud Detection. John Wiley & Sons.CrossRefGoogle Scholar
Oak Ridge National Laboratory. NASA GISS surface temperature (GISTEMP) analysis, Carbon Dioxide Information Analysis Center. dx.doi.org/10.3334/CDIAC/cli.001 (accessed 20 Apr 2015).
O'Rourke, Joseph. 1998. Computational Geometry in C, second edition. Cambridge University Press.CrossRefGoogle Scholar
PAAR, CHRISTOF and JAN, PELZL. 2010. Understanding Cryptography: A Textbook for Students and Practitioners. Springer.CrossRefGoogle Scholar
PEARSON, KARL. 1905. The problem of the random walk. Nature, 72(1865), 294.CrossRefGoogle Scholar
PEITGEN, HEINZ-OTTO, HARTMUT, JÜRGENS, and DIETMAR, SAUPE. 2004. Chaos and Fractals: New Frontiers in Science, second edition. Springer-Verlag.CrossRefGoogle Scholar
PEMMARAJU, SRIRAM V. and STEVEN S., SKIENA. 2003. Computational Discrete Mathematics: Combinatorics and Graph Theory with Mathematica. Cambridge University Press.CrossRefGoogle Scholar
PETROVAY, KRISTOF. 2010. Solar cycle prediction. Living Reviews in Solar Physics, 7(6), dx.doi.org/10.12942/lrsp-2010-6.CrossRefGoogle ScholarPubMed
PLATZMAN, LOREN K. and JOHN J., BARTHOLDI HI. 1989. Spacefilling curves and the planar traveling salesman problem. Journal of the ACM, 36(4), 719-737. dx.doi.org/10.1145/76359.76361.CrossRefGoogle Scholar
PORTA, HORACIO, WILLIAM, DAVIS, and JERRY, UHL. 1994. Calculus&Mathematica. Addison-Wesley.Google Scholar
PREPARATA, FRANCO P. and MICHAEL IAN, SHAMOS. 1985. Computational Geometry: An Introduction. Springer- Verlag.CrossRefGoogle Scholar
PRESS, WILLIAM H., SAUL A., TEUKOLSKY, WILLIAM T., VETTERLING, and BRIAN P., FLANNERY. 2007. Numerical Recipes: The Art of Scientific Computing, third edition. Cambridge University Press.Google Scholar
PROJECT, EULER. Problem #168: Number rotations, Problems Archives. projecteuler.net/problem=168 (accessed 17 Feb 2015).
PROJECT, GUTENBERG.Portrait of the Artist as a Young Man, www.gutenberg.org/ebooks/4217 (accessed 24 Mar 2015).
RAMIREZ, JOSE L. and GUSTAVO N., RUBIANO. 2014. Properties and generalizations of the Fibonacci word fractal: exploring fractal curves. The Mathematica journal, 16(2), www.mathematica-journal.com/2014/02/.CrossRefGoogle Scholar
RAMÍREZ, JOSÉ L., GUSTAVO N., RUBIANO, and RODRIGO DE, CASTRO. 2014. A generalization of the Fibonacci word fractal and the Fibonacci snowflake. arXiv.org. arxiv.org/abs/1212.1368.
RITCHIE, DENNIS M. 1993. The development of the C language, in The Second ACM SIGPLAN Conference on History of Programming Languages, HOPL-II. Association of Computing Machinery. dx.doi.org/10.1145/154766.155580.
DE LAS, RIVAS|JAVIER and CELIA, FONTANILLO. 2010. Protein-protein interactions essentials: key concepts to building and analyzing interactome networks. PLoS Computational Biology, 6(6), dx.doi.org/10.1371/journal.pcbi.1000807.Google Scholar
ROEDERER, JUAN G. 2008. The Physics and Psychophysics of Music: An Introduction, fourth edition. Springer.Google Scholar
ROSENKRANTZ, DANIEL J., RICHARD E., STEARNS, and PHILIP M., LEWIS ii. 1977. An analysis of several heuristics for the traveling salesman problem. SIAM Journal of Computing, 6(3), 563-581. dx.doi.org/10.1137/0206041.CrossRefGoogle Scholar
ROYAL OBSERVATORY OF BELGIUM. The international sunspot number, Silso World Data Center. www.sidc.be/silso (accessed 17 Feb 2015).
RUDNICK, JOSEPH and GEORGE, GASPARI. 2004. Elements of the Random Walk: An Introduction for Advanced Students and Researchers. Cambridge University Press.CrossRefGoogle Scholar
RUEDY, R., M., SATO, and K., Lo. 2015. NASA GISS surface temperature (GISTEMP) analysis, in Trends: A Compendium of Data on Global Change. Carbon Dioxide Information Analysis Center, Oak Ridge National Laboratory, U.S.Department of Energy. dx.doi.org/10.3334/CDIAC/cli.001.Google Scholar
RUMP, S.M. 1991. A class of arbitrarily ill-conditioned floating-point matrices. SIAM Journal of Matrix Analysis and Applications, 12(4), 645-653. dx.doi.org/10.1137/0612049.CrossRefGoogle Scholar
RUSKEY, FRANK and MARK, WESTON. 2005. A survey of Venn diagrams. The Electronic Journal of Combinatorics, DS 5, www.combinatorics.org/files/Surveys/ds5/VennEJC.html.
SCHULZ, JAN. 2008. Introduction to dot plots. Code 10. www.code10.info/index.php?option=com_content&view=article&id=64:inroduction-to-dotplots& catid=52:cat_coding_algorithms_dot-plots&Itemid=76.
SCHWARTZ, RANDAL L., BRIAN D, FOY, and TOM, PHOENIX. 2011. Learning Perl, sixth edition. O'Reilly & Associates.Google Scholar
SEDGEWICK, ROBERT and KEVIN, WAYNE. 2007. Introduction to Programming in Java: An Interdisciplinary Approach. Addison-Wesley.Google Scholar
SEDGEWICK, ROBERT and KEVIN, WAYNE. 2011. Algorithms, fourth edition. Addison-Wesley.Google Scholar
SHAMOS, MICHAEL I. and DAN, HOEY. 1975. Closest-point problems, in 16th Annual Symposium on Foundations of Computer Science. IEEE. dx.doi.org/10.1109/SFCS.1975.8.CrossRef
SHANKS, DANIEL. 1993. Solved and Unsolved Problems in Number Theory, fourth edition. Chelsea.
SHANNON, CLAUDE E. 1948. A mathematical theory of computation. The Bell System Technical Journal, 27(3,4), 379-423, 623-656. dx.doi.org/10.1002/j.1538-7305.1948.tb01338.x.CrossRefGoogle Scholar
SHEPARD, ROGER N. 1962. The analysis of proximities: multidimensional scaling with an unknown distance function, I.Psychometrika, 27(2), 125-140. dx.doi.org/10.1007/BF02289630.Google Scholar
SINKOV, ABRAHAM. 2009. Elementary Cryptanalysis: A Mathematical Approach, second edition. The Mathematical Association of America.Google Scholar
SKIENA, STEVEN S. 2008. The Algorithm Design Manual, second edition. Springer Science+Business Media.CrossRefGoogle Scholar
SLOANE, N.J.A. A019518, Smarandache-Wellin numbers. The On-Line Encyclopedia of Integer Sequences. oeis.org/A019518.
STAUFFER, DIETRICH and AMMON, AHARONY. 1994. Introduction to Percolation Theory, second edition. Taylor & Francis.Google Scholar
TAO, TERENCE. 2009. Benford's law, Zipf s law, and the Pareto distribution. terrytao.wordpress.com/2009/07/03/benfords-law-zipfs-law-and-the-pareto-distribution.
TEETOR, PAUL. 2011. R Cookbook. O'Reilly Media.Google Scholar
THOMSON, DIETRICH E. 1982. Making music-fractally. Journal of the Acoustical Society of America, 72(6), 2036. dx.doi.org/10.1121/1.388637.CrossRefGoogle Scholar
TROTT, MICHAEL. 2004. The Mathematica Guidebook for Graphics. Springer-Verlag.Google Scholar
TROTT, MICHAEL. 2004. The Mathematica Guidebookfor Programming. Springer-Verlag.CrossRefGoogle Scholar
TROTT, MICHAEL. 2006. The Mathematica Guidebookfor Numerics. Springer Science+Business Media.Google Scholar
THE UNICODE CONSORTIUM. Unicode 8.0 Character Code Charts, Unicode Standard. www.unicode.org/charts (accessed 25 Mar 2015).
UNIVERSITY OF CHICAGO PRESS. 2010. The Chicago Manual of Style, sixteenth edition. University of Chicago Press.
Voss, RICHARD F. and JOHN, CLARKE. 1978. 1/fnoise in music: music from 1/f noise. Journal of the Acoustical Society of America, 63(1), 258-263. dx.doi.org/10.1121/1.381721.CrossRefGoogle Scholar
WAGON, STAN. 1999. Mathematica in Action, second edition. TELOS/Springer-Verlag.CrossRefGoogle Scholar
WALL, LARRY, TOM, CHRISTIANSEN, and JON, ORWANT. 2000. Programming Perl, third edition. O'Reilly Media.Google Scholar
WATTS, DUNCAN J. and STEVEN H., STROGATZ. 1998. Collective dynamics of small-world networks. Nature, 393(6684), 440-442. dx.doi.org/10.1038/30918.CrossRefGoogle Scholar
WEISS, GEORGE H. 1983. Random walks and their applications. American Scientist, 71(1), 65-71. www.j stor.org/stable/ 278 51819.Google Scholar
WEISS, GEORGE H. 1994. Aspects and Applications of the Random Walk. North Holland.Google Scholar
WEISSTEIN, ERIC W. Hypocycloid. MathWorld. www.mathworld.wolfram.com/Hypocycloid.html.
WEISSTEIN, ERIC W. Lucky number. MathWorld. mathworld.wolfram.com/LuckyNumber.html.
WEISSTEIN, ERIC W. Sierpinski sieve. MathWorld. mathworld.wolfram.com/SierpinskiSieve.html.
WEISSTEIN, ERIC W. Sphere point picking. MathWorld. www.mathworld.wolfram.com/SpherePointPicking.html.
WELLIN, PAUL. 2013. Programming with Mathematica: An Introduction. Cambridge University Press.Google Scholar
WICKHAM-JONES, TOM. 1994. Computer Graphics with Mathematica. TELOS/Springer-Verlag.CrossRefGoogle Scholar
WIER, THOMAS. 2014. Is it easier to make palindromes in some languages than in others? Quora. www.quora.com/Is-it-easier-to-make-palindromes-in-some-languages-than-in-others (accessed 15 June 2015).
WIKIBOOKS. Strings, Python Programming. en.wikibooks.org/wiki/Python_Programming/Strings (accessed 25 Mar 2015).
THE WILCOX SOLAR OBSERVATORY. Complete MF time series, The Mean Magnetic Field of the Sun. wso.stanford.edu/#MeanField (accessed 8 Aug 2015).
ZAKI, MOHAMMED J. and WAGNER MEIRA, JR. 2014. Data Mining and Analysis: Fundamental Concepts and Algorithms. Cambridge University Press.CrossRefGoogle Scholar

Save book to Kindle

To save this book to your Kindle, first ensure [email protected] is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

  • References
  • Paul Wellin
  • Book: Essentials of Programming in <I>Mathematica</I>®
  • Online publication: 05 December 2015
  • Chapter DOI: https://doi.org/10.1017/CBO9781316337738.012
Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

  • References
  • Paul Wellin
  • Book: Essentials of Programming in <I>Mathematica</I>®
  • Online publication: 05 December 2015
  • Chapter DOI: https://doi.org/10.1017/CBO9781316337738.012
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • References
  • Paul Wellin
  • Book: Essentials of Programming in <I>Mathematica</I>®
  • Online publication: 05 December 2015
  • Chapter DOI: https://doi.org/10.1017/CBO9781316337738.012
Available formats
×