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Turtle Geometry

Author : Harold Abelson

Publisher : MIT Press

Page : 502 pages

File Size : 50,54 MB

Release : 1986-07-09

Category : Computers

ISBN : 9780262510370

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Book Description

Turtle Geometry presents an innovative program of mathematical discovery that demonstrates how the effective use of personal computers can profoundly change the nature of a student's contact with mathematics. Using this book and a few simple computer programs, students can explore the properties of space by following an imaginary turtle across the screen. The concept of turtle geometry grew out of the Logo Group at MIT. Directed by Seymour Papert, author of Mindstorms, this group has done extensive work with preschool children, high school students and university undergraduates.



Exploring Mathematics with Your Computer

Author : Arthur Engel

Publisher : American Mathematical Society

Page : 313 pages

File Size : 50,47 MB

Release : 2023-02-14

Category : Mathematics

ISBN : 1470457032

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Book Description

This is a mathematics book, not a programming book, although it explains Pascal to beginners. It is aimed at high school students and undergraduates with a strong interest in mathematics, and teachers looking for fresh ideas. It is full of diverse mathematical ideas requiring little background. It includes a large number of challenging problems, many of which illustrate how numerical computation leads to conjectures which can then be proved by mathematical reasoning. It is assumed that readers have a PC at their disposal.



Exploring Mathematics

Author : John Meier

Publisher : Cambridge University Press

Page : 341 pages

File Size : 17,67 MB

Release : 2017-08-07

Category : Mathematics

ISBN : 1107128986

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Book Description

With exercises and projects, Exploring Mathematics supports an active approach to the transition to upper-level theoretical math courses.



Exploring the World of Mathematics

Author : John Hudson Tiner

Publisher : New Leaf Publishing Group

Page : 159 pages

File Size : 34,40 MB

Release : 2004-07-01

Category : Religion

ISBN : 161458155X

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Book Description

Numbers surround us. Just try to make it through a day without using any. It's impossible: telephone numbers, calendars, volume settings, shoe sizes, speed limits, weights, street numbers, microwave timers, TV channels, and the list goes on and on. The many advancements and branches of mathematics were developed through the centuries as people encountered problems and relied upon math to solve them. For instance: What timely invention was tampered with by the Caesars and almost perfected by a pope? Why did ten days vanish in September of 1752? How did Queen Victoria shorten the Sunday sermons at chapel? What important invention caused the world to be divided into time zones? What simple math problem caused the Mars Climate Orbiter to burn up in the Martian atmosphere? What common unit of measurement was originally based on the distance from the equator to the North Pole? Does water always boil at 212? Fahrenheit? What do Da Vinci's Last Supper and the Parthenon have in common? Why is a computer glitch called a "bug"? It's amazing how ten simple digits can be used in an endless number of ways to benefit man. The development of these ten digits and their many uses is the fascinating story you hold in your hands: Exploring the World of Mathematics.



Exploring Mathematics

Author : Rajee Amarasinghe

Publisher :

Page : 304 pages

File Size : 44,62 MB

Release : 2011-01-19

Category :

ISBN : 9781609270636

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Book Description

Exploring Mathematics: Investigations for Elementary School Teachers is a text designed to give readers a highly conceptual understanding of mathematics topics essential for elementary school teaching. The body of material presented was assembled though considerable experimentation and collaboration among the authors over the past ten years.Using a 'less is more' approach, this book's basic philosophy centers on the idea that the learning of mathematics takes time and is best learned from multiple viewpoints and engaging problems. To meet this goal, the development of mathematical reasoning is introduced primarily through the use of manipulatives, models and visual aids for problem solving. The practical, field-tested, in-depth material and activities found in Exploring Mathematics makes this an ideal text for an upper-division mathematics course that serves as a culminating experience for elementary school teachers.



Exploring RANDOMNESS

Author : Gregory J. Chaitin

Publisher : Springer Science & Business Media

Page : 164 pages

File Size : 31,18 MB

Release : 2012-12-06

Category : Computers

ISBN : 1447103076

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Book Description

This essential companion to Chaitin's successful books The Unknowable and The Limits of Mathematics, presents the technical core of his theory of program-size complexity. The two previous volumes are more concerned with applications to meta-mathematics. LISP is used to present the key algorithms and to enable computer users to interact with the authors proofs and discover for themselves how they work. The LISP code for this book is available at the author's Web site together with a Java applet LISP interpreter. "No one has looked deeper and farther into the abyss of randomness and its role in mathematics than Greg Chaitin. This book tells you everything hes seen. Don miss it." John Casti, Santa Fe Institute, Author of Goedel: A Life of Logic.'



Exploring Mathematics

Author : Craig Johnson

Publisher : Jones & Bartlett Publishers

Page : 676 pages

File Size : 43,35 MB

Release : 2014-08

Category : Mathematics

ISBN : 1284076229

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Book Description

Exploring Mathematics: Investigations with Functions is intended for a one- or two-term course in mathematics for college students majoring in the social sciences, English, history, music, art, education, or any of the other majors within liberal arts. The mathematics course of this scope, with an algebra prerequsite, is a popular selection for liberal arts students. This 9-chapter textbook offers modern applications of mathematics in the liberal arts as well as aesthetic features of this rich facet of history and ongoing advancement of human society. With a central theme around the use of the concept of functions, and the inclusion of unique topics and chapters, Exploring Mathematics enables students to explore the next level of mathematics. It attempts to answer the questions, "How does mathematics help us to better our society and understand the world around us?" and "What are some of the unifying ideas of mathematics?" The central theme helps to impress upon the student the feeling that mathematics is more than a disconnected potpourri of rules and tricks. Although it would be inappropriate to force a functional connection in every single section, the theme is used whenever possible to provide conceptual bridges between chapters. Developing the concept of a function augments the presentation of many topics in every chapter. The Text's Objectives: The author chose the topics based on meeting the specific NCTM curriculum standards to: 1. Strengthen estimation and computational skills. 2. Utilize algebraic concepts. 3. Emphasize problem-solving and reasoning. 4. Emphasize pattern and relationship recognition. 5. Highlight importance of units in measurement. 6. Highlight importance of the notion of a mathematical function. 7. Display mathematical connections to other disciplines.



Discovering Mathematics with Magma

Author : Wieb Bosma

Publisher : Springer Science & Business Media

Page : 387 pages

File Size : 25,71 MB

Release : 2007-07-10

Category : Computers

ISBN : 3540376348

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Book Description

Based on the ontology and semantics of algebra, the computer algebra system Magma enables users to rapidly formulate and perform calculations in abstract parts of mathematics. Edited by the principal designers of the program, this book explores Magma. Coverage ranges from number theory and algebraic geometry, through representation theory and group theory to discrete mathematics and graph theory. Includes case studies describing computations underpinning new theoretical results.



Exploring Geometry

Author : Michael Hvidsten

Publisher : CRC Press

Page : 532 pages

File Size : 46,33 MB

Release : 2016-12-08

Category : Mathematics

ISBN : 1498760988

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Book Description

Exploring Geometry, Second Edition promotes student engagement with the beautiful ideas of geometry. Every major concept is introduced in its historical context and connects the idea with real-life. A system of experimentation followed by rigorous explanation and proof is central. Exploratory projects play an integral role in this text. Students develop a better sense of how to prove a result and visualize connections between statements, making these connections real. They develop the intuition needed to conjecture a theorem and devise a proof of what they have observed. Features: Second edition of a successful textbook for the first undergraduate course Every major concept is introduced in its historical context and connects the idea with real life Focuses on experimentation Projects help enhance student learning All major software programs can be used; free software from author



Math Adventures with Python

Author : Peter Farrell

Publisher : No Starch Press

Page : 305 pages

File Size : 22,94 MB

Release : 2019-01-08

Category : Computers

ISBN : 1593278675

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Book Description

Learn math by getting creative with code! Use the Python programming language to transform learning high school-level math topics like algebra, geometry, trigonometry, and calculus! Math Adventures with Python will show you how to harness the power of programming to keep math relevant and fun. With the aid of the Python programming language, you'll learn how to visualize solutions to a range of math problems as you use code to explore key mathematical concepts like algebra, trigonometry, matrices, and cellular automata. Once you've learned the programming basics like loops and variables, you'll write your own programs to solve equations quickly, make cool things like an interactive rainbow grid, and automate tedious tasks like factoring numbers and finding square roots. You'll learn how to write functions to draw and manipulate shapes, create oscillating sine waves, and solve equations graphically. You'll also learn how to: - Draw and transform 2D and 3D graphics with matrices - Make colorful designs like the Mandelbrot and Julia sets with complex numbers - Use recursion to create fractals like the Koch snowflake and the Sierpinski triangle - Generate virtual sheep that graze on grass and multiply autonomously - Crack secret codes using genetic algorithms As you work through the book's numerous examples and increasingly challenging exercises, you'll code your own solutions, create beautiful visualizations, and see just how much more fun math can be!