Handbook of Famous Plane Curves Using Mathematica

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Author :
Publisher : Steven Tan
ISBN 13 :
Total Pages : 1471 pages
Book Rating : 4./5 ( download)

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Book Synopsis Handbook of Famous Plane Curves Using Mathematica by : Steven Tan

Download or read book Handbook of Famous Plane Curves Using Mathematica written by Steven Tan and published by Steven Tan. This book was released on 2020-07-15 with total page 1471 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inspired by the Famous Curves Index of the award-winning website by MacTutor History of Mathematics archive maintained by John J. O'Connor and Edmund F. Robertson and hosted by the University of St Andrews, the author wrote this handbook of famous plane curves using Mathematica® as a tool to graph, animate, calculate and to construct derived curves from given ones. Some constructions are extremely difficult to draw by hands, especially those involve numerical integration can be performed with ease with Mathematica®. Even for some simple curves before the invention of computer, drawing them by hands might take a long time. To borrow the words of Rudy Rucker (author of The Fourth Dimension): "if the only thing you're going to be remembered for in 300 years is one single curve, then you don't mind spending a year or two in getting it right!" Plane curves had been studied since antiquity. However, the general theory of plane curves began to be developed only after the invention of Cartesian coordinates by Descartes in the early 1600s. The discovery of calculus in the 17th century led to the study of more complicated plane curves. The methods of calculus, in particular integration, provides solution of finding the arc length and area of a plane curve. Plane curves are of historical interest. It could be said that significant part of classical mathematics deal with them. Most books on history of mathematics include information on various plane curves. Plane curves remain a source of inspiration and a topic of research to this day. Whenever it is applicable the author mentions some research papers in which the curves are used for applications in modern science and technology.

Vector Calculus Using Mathematica Second Edition

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Publisher : Steven Tan
ISBN 13 :
Total Pages : 582 pages
Book Rating : 4./5 ( download)

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Book Synopsis Vector Calculus Using Mathematica Second Edition by : Steven Tan

Download or read book Vector Calculus Using Mathematica Second Edition written by Steven Tan and published by Steven Tan. This book was released on 2020-07-11 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to vector calculus with the aid of Mathematica® computer algebra system to represent them and to calculate with them. The unique features of the book, which set it apart from the existing textbooks, are the large number of illustrative examples. It is the author’s opinion a novice in science or engineering needs to see a lot of examples in which mathematics is used to be able to “speak the language.” All these examples and all illustrations can be replicated and used to learn and discover vector calculus in a new and exciting way. Reader can practice with the solutions, and then modify them to solve the particular problems assigned. This should move up problem solving skills and to use Mathematica® to visualize the results and to develop a deeper intuitive understanding. Usually, visualization provides much more insight than the formulas themselves. The second edition is an addition of the first. Two new chapters on line integrals, Green's Theorem, Stokes's Theorem and Gauss's Theorem have been added.

Handbook and Atlas of Curves

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Publisher : CRC Press
ISBN 13 : 1498710670
Total Pages : 560 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Handbook and Atlas of Curves by : Eugene V. Shikin

Download or read book Handbook and Atlas of Curves written by Eugene V. Shikin and published by CRC Press. This book was released on 2014-07-22 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook and Atlas of Curves describes available analytic and visual properties of plane and spatial curves. Information is presented in a unique format, with one half of the book detailing investigation tools and the other devoted to the Atlas of Plane Curves. Main definitions, formulas, and facts from curve theory (plane and spatial) are discussed.

A Handbook on Curves and Their Properties

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Publisher :
ISBN 13 :
Total Pages : 264 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis A Handbook on Curves and Their Properties by : Robert Carl Yates

Download or read book A Handbook on Curves and Their Properties written by Robert Carl Yates and published by . This book was released on 1947 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Catalog of Special Plane Curves

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Publisher : Courier Corporation
ISBN 13 : 0486602885
Total Pages : 244 pages
Book Rating : 4.4/5 (866 download)

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Book Synopsis A Catalog of Special Plane Curves by : J. Dennis Lawrence

Download or read book A Catalog of Special Plane Curves written by J. Dennis Lawrence and published by Courier Corporation. This book was released on 1972-01-01 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the largest and finest available collections, this catalog covers general properties of curves and types of derived curves. Illustrated by nearly 90 images from a CalComp digital incremental plotter. 1972 edition.

A Book of Curves

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Publisher : Cambridge University Press
ISBN 13 : 9781001224114
Total Pages : 290 pages
Book Rating : 4.2/5 (241 download)

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Book Synopsis A Book of Curves by : Edward Harrington Lockwood

Download or read book A Book of Curves written by Edward Harrington Lockwood and published by Cambridge University Press. This book was released on 1967 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes the drawing of plane curves, cycloidal curves, spirals, glissettes and others.

A Guide to Plane Algebraic Curves

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Publisher : American Mathematical Soc.
ISBN 13 : 1614442037
Total Pages : 193 pages
Book Rating : 4.6/5 (144 download)

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Book Synopsis A Guide to Plane Algebraic Curves by : Keith Kendig

Download or read book A Guide to Plane Algebraic Curves written by Keith Kendig and published by American Mathematical Soc.. This book was released on 2011-12-31 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible introduction to plane algebraic curves that also serves as a natural entry point to algebraic geometry.

Modern Differential Geometry of Curves and Surfaces with Mathematica, Third Edition

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Publisher : CRC Press
ISBN 13 : 9781584884484
Total Pages : 1024 pages
Book Rating : 4.8/5 (844 download)

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Book Synopsis Modern Differential Geometry of Curves and Surfaces with Mathematica, Third Edition by : Elsa Abbena

Download or read book Modern Differential Geometry of Curves and Surfaces with Mathematica, Third Edition written by Elsa Abbena and published by CRC Press. This book was released on 2006-06-21 with total page 1024 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting theory while using Mathematica in a complementary way, Modern Differential Geometry of Curves and Surfaces with Mathematica, the third edition of Alfred Gray’s famous textbook, covers how to define and compute standard geometric functions using Mathematica for constructing new curves and surfaces from existing ones. Since Gray’s death, authors Abbena and Salamon have stepped in to bring the book up to date. While maintaining Gray's intuitive approach, they reorganized the material to provide a clearer division between the text and the Mathematica code and added a Mathematica notebook as an appendix to each chapter. They also address important new topics, such as quaternions. The approach of this book is at times more computational than is usual for a book on the subject. For example, Brioshi’s formula for the Gaussian curvature in terms of the first fundamental form can be too complicated for use in hand calculations, but Mathematica handles it easily, either through computations or through graphing curvature. Another part of Mathematica that can be used effectively in differential geometry is its special function library, where nonstandard spaces of constant curvature can be defined in terms of elliptic functions and then plotted. Using the techniques described in this book, readers will understand concepts geometrically, plotting curves and surfaces on a monitor and then printing them. Containing more than 300 illustrations, the book demonstrates how to use Mathematica to plot many interesting curves and surfaces. Including as many topics of the classical differential geometry and surfaces as possible, it highlights important theorems with many examples. It includes 300 miniprograms for computing and plotting various geometric objects, alleviating the drudgery of computing things such as the curvature and torsion of a curve in space.

CRC Concise Encyclopedia of Mathematics

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Publisher : CRC Press
ISBN 13 : 1420035223
Total Pages : 3253 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis CRC Concise Encyclopedia of Mathematics by : Eric W. Weisstein

Download or read book CRC Concise Encyclopedia of Mathematics written by Eric W. Weisstein and published by CRC Press. This book was released on 2002-12-12 with total page 3253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d

Bibliotheca Chemico-mathematica

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Publisher :
ISBN 13 :
Total Pages : 594 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Bibliotheca Chemico-mathematica by : Henry Sotheran Ltd

Download or read book Bibliotheca Chemico-mathematica written by Henry Sotheran Ltd and published by . This book was released on 1921 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Manual of public health

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Publisher :
ISBN 13 :
Total Pages : 762 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis A Manual of public health by : Alexander Wynter Blyth

Download or read book A Manual of public health written by Alexander Wynter Blyth and published by . This book was released on 1890 with total page 762 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A User's Guide to Algebraic Topology

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Publisher : Springer Science & Business Media
ISBN 13 : 9780792342939
Total Pages : 428 pages
Book Rating : 4.3/5 (429 download)

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Book Synopsis A User's Guide to Algebraic Topology by : C. T. J. Dodson

Download or read book A User's Guide to Algebraic Topology written by C. T. J. Dodson and published by Springer Science & Business Media. This book was released on 1997-01-31 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book arose from courses taught by the authors, and is designed for both instructional and reference use during and after a first course in algebraic topology. It is a handbook for users who want to calculate, but whose main interests are in applications using the current literature, rather than in developing the theory. Typical areas of applications are differential geometry and theoretical physics. We start gently, with numerous pictures to illustrate the fundamental ideas and constructions in homotopy theory that are needed in later chapters. We show how to calculate homotopy groups, homology groups and cohomology rings of most of the major theories, exact homotopy sequences of fibrations, some important spectral sequences, and all the obstructions that we can compute from these. Our approach is to mix illustrative examples with those proofs that actually develop transferable calculational aids. We give extensive appendices with notes on background material, extensive tables of data, and a thorough index. Audience: Graduate students and professionals in mathematics and physics.

Bibliotheca Chemico-mathematica

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Publisher :
ISBN 13 :
Total Pages : 774 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Bibliotheca Chemico-mathematica by : Henry Sotheran Ltd

Download or read book Bibliotheca Chemico-mathematica written by Henry Sotheran Ltd and published by . This book was released on 1905 with total page 774 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Publishers' Circular and Booksellers' Record of British and Foreign Literature

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Publisher :
ISBN 13 :
Total Pages : 816 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis The Publishers' Circular and Booksellers' Record of British and Foreign Literature by :

Download or read book The Publishers' Circular and Booksellers' Record of British and Foreign Literature written by and published by . This book was released on 1895 with total page 816 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Publishers' Circular and Booksellers' Record of British and Foreign Literature

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Publisher :
ISBN 13 :
Total Pages : 818 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Publishers' Circular and Booksellers' Record of British and Foreign Literature by :

Download or read book Publishers' Circular and Booksellers' Record of British and Foreign Literature written by and published by . This book was released on 1895 with total page 818 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematica Cookbook

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Publisher : "O'Reilly Media, Inc."
ISBN 13 : 1449390765
Total Pages : 830 pages
Book Rating : 4.4/5 (493 download)

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Book Synopsis Mathematica Cookbook by : Sal Mangano

Download or read book Mathematica Cookbook written by Sal Mangano and published by "O'Reilly Media, Inc.". This book was released on 2010-04-02 with total page 830 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematica Cookbook helps you master the application's core principles by walking you through real-world problems. Ideal for browsing, this book includes recipes for working with numerics, data structures, algebraic equations, calculus, and statistics. You'll also venture into exotic territory with recipes for data visualization using 2D and 3D graphic tools, image processing, and music. Although Mathematica 7 is a highly advanced computational platform, the recipes in this book make it accessible to everyone -- whether you're working on high school algebra, simple graphs, PhD-level computation, financial analysis, or advanced engineering models. Learn how to use Mathematica at a higher level with functional programming and pattern matching Delve into the rich library of functions for string and structured text manipulation Learn how to apply the tools to physics and engineering problems Draw on Mathematica's access to physics, chemistry, and biology data Get techniques for solving equations in computational finance Learn how to use Mathematica for sophisticated image processing Process music and audio as musical notes, analog waveforms, or digital sound samples

The Mathematics Teacher

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Publisher :
ISBN 13 :
Total Pages : 666 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis The Mathematics Teacher by :

Download or read book The Mathematics Teacher written by and published by . This book was released on 1953 with total page 666 pages. Available in PDF, EPUB and Kindle. Book excerpt: