000 04346nam a22004935i 4500
001 978-0-387-75477-2
003 DE-He213
005 20140220084455.0
007 cr nn 008mamaa
008 100629s2010 xxu| s |||| 0|eng d
020 _a9780387754772
_9978-0-387-75477-2
024 7 _a10.1007/978-0-387-75477-2
_2doi
050 4 _aQA71-90
072 7 _aPBKS
_2bicssc
072 7 _aMAT006000
_2bisacsh
082 0 4 _a518
_223
082 0 4 _a518
_223
100 1 _aWagon, Stan.
_eeditor.
245 1 0 _aMathematica in Action
_h[electronic resource] :
_bProblem Solving Through Visualization and Computation /
_cedited by Stan Wagon.
250 _a3.
264 1 _aNew York, NY :
_bSpringer New York :
_bImprint: Springer,
_c2010.
300 _aXVIII, 574p. 531 illus., 216 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aA Brief Introduction -- Plotting -- Prime Numbers -- Rolling Circles -- Three-Dimensional Graphs -- Dynamic Manipulations -- The Cantor Set, Real and Complex -- The Quadratic Map -- The Recursive Turtle -- Parametric Plotting of Surfaces -- Penrose Tiles -- Complex Dynamics:Julia Sets and the Mandelbrot Set -- Solving Equations -- Optimization -- Differential Equations -- Computational Geometry -- Check Digits and the Pentagon -- Coloring Planar Maps -- New Directions For ? -- The Banach–Tarski Paradox -- The Riemann Zeta Function -- Miscellany.
520 _aIn this third edition of Mathematica® in Action, award-winning author Stan Wagon guides beginner and veteran users alike through Mathematica's powerful tools for mathematical exploration. The transition to Mathematica 7 is made smooth with plenty of examples and case studies that utilize Mathematica's newest tools, such as dynamic manipulations and adaptive three-dimensional plotting. Mathematica in Action also emphasizes the breadth of Mathematica and the impressive results of combining techniques from different areas. This material enables the reader to use Mathematica to solve a variety of complex problems. Case studies ranging from elementary to sophisticated are provided throughout. Whenever possible, the book shows how Mathematica can be used to discover new things. Striking examples include the design of a road on which a square wheel bike can ride, the design of a drill that can drill square holes, an illustration of the Banach—Tarski Paradox via hyperbolic geometry, new and surprising formulas for p, the discovery of shadow orbits for chaotic systems, and the use of powerful new capabilities for three-dimensional graphics. Visualization is emphasized throughout, with finely crafted graphics in each chapter. Wagon is the author of eleven books on mathematics, including A Course in Computational Number Theory, named one of the ten best math books of 2000 by the American Library Association. He has written extensively on the educational applications of Mathematica, including the books VisualDSolve: Visualizing Differential Equations with Mathematica, and Animating Calculus: Mathematica Notebooks for the Laboratory. From reviews of the second edition: "In a dazzling range of examples Stan Wagon shows how such features as animation, 3-dimensional graphics and high-precision integer arithmetic can contribute to our understanding and enjoyment of mathematics." —Richard Walker, The Mathematical Gazette "The bottom line is that Mathematica in Action is an outstanding book containing many examples of real uses of Mathematica for the novice, intermediate, and expert user." —Mark McClure, Mathematica in Education and Research
650 0 _aMathematics.
650 0 _aComputer science
_xMathematics.
650 0 _aVisualization.
650 0 _aComputer software.
650 1 4 _aMathematics.
650 2 4 _aComputational Mathematics and Numerical Analysis.
650 2 4 _aMathematical Software.
650 2 4 _aVisualization.
650 2 4 _aApplications of Mathematics.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780387753669
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-387-75477-2
912 _aZDB-2-SMA
999 _c109787
_d109787