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" Mathematical modeling and computational calculus "
by William Flannery.
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BL
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| Record Number
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746541
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b566491
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| Main Entry
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by William Flannery.
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| Title & Author
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Mathematical modeling and computational calculus\ by William Flannery.
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| Publication Statement
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St. Petersburg, Fla. : Berkeley Science Books, [, 2013] ©2013
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| Series Statement
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Calculus without tears series
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| Page. NO
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1 volume (unpaged) : illustrations, charts ; 22 x 36 cm
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| ISBN
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0976413868
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: 9780976413868
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| Notes
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Many of the non-program exercises in the book contain checksums int he upper right corner that the reader can use to check for correct solutions. The answer key for many exercises and all that include a program is online, at www.berkeleyscience/mmcckey/ and includes complete program listings.--title page verso.
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| Contents
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Constant velocity motion --; Mathematical models of a falling object --; Graphing solutions to differential equations --; Introduction to MATLAB / OCTAVE / FREEMAT --; An ounce of trigonometry --; Orbits, satellites, rockets --; Electrical circuits --; Dynamics --; Appendix I: Installing OCTAVE/FREEMAT --; Appendix II: The calculus of polynomials and the FTOC --; Appendix II: Computational calculus vs. analytical calculus --; Appendix III: Other approximation methods --; Appendix IV: Convergence of Euler's Method --; Appendix V: Summary of physical models and laws --; Appendix VI: Debugging.
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| Abstract
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This book will take you from not being able to spell calculus to doing calculus just the way I did it for twenty years as an engineer at high tech firms like Lockheed and Stanford Telecom. You will learn how physical processes are modeled using mathematics and analyzed using computational calculus. Systems studied include satellite orbits, the orbits of the earth and moon, rocket trajectories, the Apollo mission trajectory, the Juno space probe, electrical circuits, oscillators, filters, tennis serves, springs, friction, automobile suspension systems, lift and drag, and airplane dynamics. And not a single theorem in sight. This book focuses on differential equation models because they are what scientists and engineers use to model processes involving change. Historically, this has presented a problem for science education because while the models are easy enough to create, solving the differential equations analytically usually requires advanced mathematical techniques and their clever application. But, that was before computers; now, with computers, solutions to differential equations can be computed directly, without the need of theorems or any advanced mathematics, using the formula distance equals velocity times time. It s just that simple. The book will show you how it s done.--Introduction.
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| Subject
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Calculus.
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| Subject
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Differential equations.
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Mathematical models.
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| LC Classification
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QA371.B995 9999
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| Added Entry
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William Flannery
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