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Viewpoints: Mathematical Perspective and Fractal Geometry in Art

ภาษา
ภาษาอังกฤษ
Format
หมวดหมู่

นอนฟิกชั่น

An undergraduate textbook devoted exclusively to relationships between mathematics and art, Viewpoints is ideally suited for math-for-liberal-arts courses and mathematics courses for fine arts majors. The textbook contains a wide variety of classroom-tested activities and problems, a series of essays by contemporary artists written especially for the book, and a plethora of pedagogical and learning opportunities for instructors and students.

Viewpoints focuses on two mathematical areas: perspective related to drawing man-made forms and fractal geometry related to drawing natural forms. Investigating facets of the three-dimensional world in order to understand mathematical concepts behind the art, the textbook explores art topics including comic, anamorphic, and classical art, as well as photography, while presenting such mathematical ideas as proportion, ratio, self-similarity, exponents, and logarithms. Straightforward problems and rewarding solutions empower students to make accurate, sophisticated drawings. Personal essays and short biographies by contemporary artists are interspersed between chapters and are accompanied by images of their work. These fine artists--who include mathematicians and scientists--examine how mathematics influences their art. Accessible to students of all levels, Viewpoints encourages experimentation and collaboration, and captures the essence of artistic and mathematical creation and discovery.

• Classroom-tested activities and problem solving

• Accessible problems that move beyond regular art school curriculum

• Multiple solutions of varying difficulty and applicability

• Appropriate for students of all mathematics and art levels

• Original and exclusive essays by contemporary artists

• Forthcoming: Instructor's manual (available only to teachers)

© 2011 Princeton University Press (อีบุ๊ก ): 9781400839056

วันที่วางจำหน่าย

อีบุ๊ก : 5 กรกฎาคม 2554

แท็ก

    คนอื่นก็สนุก...

    1. Mathematics in Nature: Modeling Patterns in the Natural World John Adam
    2. Heavenly Mathematics: The Forgotten Art of Spherical Trigonometry Glen Van Brummelen
    3. Everyday Calculus: Discovering the Hidden Math All around Us Oscar E. Fernandez
    4. The Mathematics of Various Entertaining Subjects: Research in Recreational Math Jason Rosenhouse
    5. Mathematics for the Life Sciences Suzanne Lenhart
    6. Discrete and Computational Geometry Satyan L. Devadoss
    7. Making and Breaking Mathematical Sense: Histories and Philosophies of Mathematical Practice Roi Wagner
    8. Unsolved Problems in Mathematical Systems and Control Theory Vincent D. Blondel
    9. How Mathematicians Think: Using Ambiguity, Contradiction, and Paradox to Create Mathematics William Byers
    10. Slicing Pizzas, Racing Turtles, and Further Adventures in Applied Mathematics Robert B. Banks
    11. Mathematical Knowledge and the Interplay of Practices José Ferreirós
    12. Creating Symmetry: The Artful Mathematics of Wallpaper Patterns Frank A. Farris
    13. Probability, Markov Chains, Queues, and Simulation: The Mathematical Basis of Performance Modeling William J. Stewart
    14. Calculating the Cosmos: How Mathematics Unveils the Universe Ian Stewart
    15. The Calculus of Friendship: What a Teacher and a Student Learned about Life while Corresponding about Math Steven Strogatz
    16. A Biologist's Guide to Mathematical Modeling in Ecology and Evolution Troy Day
    17. The Formula: How Algorithms Solve all our Problems... and Create More Luke Dormehl
    18. In Pursuit of Zeta-3: The World's Most Mysterious Unsolved Math Problem Paul J. Nahin
    19. Classical Mathematical Logic: The Semantic Foundations of Logic Richard L. Epstein
    20. The Joy of X: A Guided Tour of Math, from One to Infinity Steven Strogatz
    21. The Fourth Age: Smart Robots, Conscious Computers, and the Future of Humanity Byron Reese
    22. Mathematical Mindsets: Unleashing Students' Potential through Creative Math, Inspiring Messages and Innovative Teaching Jo Boaler
    23. 101 Amazing Statistics Jack Goldstein
    24. Maths on the Back of an Envelope: Clever ways to (roughly) calculate anything Rob Eastaway
    25. Mechanics of the Solar System: An Introduction to Mathematical Astronomy J.A. Evans
    26. Strange Curves, Counting Rabbits, & Other Mathematical Explorations Keith Ball
    27. The Creativity Code: How AI is learning to write, paint and think Marcus du Sautoy
    28. A Certain Ambiguity: A Mathematical Novel Gaurav Suri
    29. Infinite Powers: How Calculus Reveals the Secrets of the Universe Steven Strogatz
    30. An Introduction to Mathematical Analysis for Economic Theory and Econometrics Juraj Zeman
    31. The Best Writing on Mathematics 2010 Mircea Pitici
    32. It All Adds Up: The Story of People and Mathematics Mickael Launay
    33. The Logician and the Engineer: How George Boole and Claude Shannon Created the Information Age Paul J. Nahin
    34. Philosophy of Language Scott Soames
    35. The Shape of a Life: One Mathematician’s Search for the Universe’s Hidden Geometry Shing-Tung Yau
    36. Introduction to Mathematical Sociology Philip Lu
    37. Numerical Analysis Larkin Ridgway Scott
    38. What We Cannot Know: Explorations at the Edge of Knowledge Marcus du Sautoy
    39. Topics in Mathematical Modeling Ka-Kit Tung
    40. Mrs. Perkins's Electric Quilt: And Other Intriguing Stories of Mathematical Physics Paul J. Nahin
    41. Chance in Biology: Using Probability to Explore Nature Mark Denny
    42. Standard Deviations: Flawed Assumptions, Tortured Data, and Other Ways to Lie with Statistics Gary Smith

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