Buy Geometry for the Artist by Catherine A. Gorini- Bookswagon UAE
Book 1
Book 2
Book 3
Book 1
Book 2
Book 3
Book 1
Book 2
Book 3
Book 1
Book 2
Book 3
Home > Art, Film & Photography > The arts: general issues > Geometry for the Artist: (AK Peters/CRC Recreational Mathematics Series)
Geometry for the Artist: (AK Peters/CRC Recreational Mathematics Series)

Geometry for the Artist: (AK Peters/CRC Recreational Mathematics Series)


     0     
5
4
3
2
1



International Edition


X
About the Book

Geometry for the Artist is based on a course of the same name which started in the 1980s at Maharishi International University. It is aimed both at artists willing to dive deeper into geometry and at mathematicians open to learning about applications of mathematics in art. The book includes topics such as perspective, symmetry, topology, fractals, curves, surfaces, and more. A key part of the book’s approach is the analysis of art from a geometric point of view—looking at examples of how artists use each new topic. In addition, exercises encourage students to experiment in their own work with the new ideas presented in each chapter. This book is an exceptional resource for students in a general-education mathematics course or teacher-education geometry course, and since many assignments involve writing about art, this text is ideal for a writing-intensive course. Moreover, this book will be enjoyed by anyone with an interest in connections between mathematics and art. Features Abundant examples of artwork displayed in full color Suitable as a textbook for a general-education mathematics course or teacher-education geometry course Designed to be enjoyed by both artists and mathematicians

Table of Contents:
Section I. Introduction. 1. Introduction. 1.1. Overview. 1.2. Ways to Analyze Art. 1.3. How to use this Book. Section II. Symmetry. 2. Symmetry. 2.1. The Nature of Symmetry. 2.2. Overview of Symmetry. 3. Finite Designs. 3.1. Symmetric Designs. 3.2. Symmetry Transformations. 3.3. Symmetries of a Square. 3.4. Symmetries of a Pinwheel. 3.5. Leonardo’s Theorem. 3.6. Signature of a Symmetric Design. 3.7. Important Examples of Symmetric Designs. 3.8. Compound or Layered Designs. 3.9. Symbols and Logos. 3.10. Sacred Geometry. 3.11. Tips for Determining the Symmetries of a Design. 3.12. Creating Symmetric Designs. 4. Band Ornaments. 4.1. Overview. 4.2. Symmetries of a Band. 4.3. The Seven Types of Band Ornaments. 4.4. The Seven Types of Symmetries of Band Ornaments. 4.5. Making a Band Ornament of Your Own. 5. The Regular Tilings. 5.1. Overview. 5.2. Translations of a Tiling. 5.3. A Tiling by Squares. 5.4. A Tiling by Equilateral Triangles. 5.5. A Tiling by Regular Hexagons. 5.6. What We Have Learned about Regular Tilings. 5.7. New Tilings from Old. 6. Tilings. 6.1. Overview. 6.2. Tilings without Rotations—Four Tilings. 6.3. Tilings with Gyrations Only—Six Tilings. 6.4. Tilings with Kaleidoscopes—Five New Tilings Plus Two Regular Tilings. 6.5. Tips For Determining the Signature of a Tiling Pattern. 6.6. Summary of Tilings. 7. Symmetry in The Work of MC Escher. 7.1. MC Escher’s Tilings. 7.2. How to Create Escher-Type Tilings. 7.3. Day and Night. 7.4. Cycle. Section III. Perspective. 8. Introduction to Linear Perspective. 8.1. Overview. 8.2. Introduction to Linear Perspective. 8.3. The Geometry of Linear Perspective. 8.4. The Central Vanishing Point. 8.5. Analysis of a Perspective Picture. 8.6. How to Draw a Picture in One-Point Perspective. 8.7. Aerial or Atmospheric Perspective. 9. Drawing Grids in Perspective. 9.1. Overview. 9.2. Drawing a Square Grid in Perspective. 9.3. Where is the Diagonal Vanishing Point? 9.4. Finding the Diagonal Vanishing Point in a Painting. 9.5. Foreshortening Distances in a Perspective Painting. 9.6. Using Grids to Draw Shapes in Perspective. 10. The Conic Sections. 10.1. Overview. 10.2. The Conic Sections. 10.3. The Circle. 10.4. The Ellipse: A Circle in Perspective. 10.5. The Parabola: A Fountain of Water. 10.6. The Hyperbola: A Shadow on a Wall. 10.7. Drawing a Circle in Perspective. 11. Two-Point and Three-Point Perspective. 11.1. Overview. 11.2. Two-Point Perspective. 11.3. Esher’s Cycle—An Example of Two-Point Perspective. 11.4. Three-Point Perspective. 11.5. Using Two-Point and Three-Point Perspective. 12. Perspective in the Work of MC Escher. 12.1. Overview. 12.2. Relativity. 12.3. Belvedere. 12.4. Ascending and Descending. Section IV. Fractals. 13. Proportion and Similarity. 13.1. Overview. 13.2. Congruent Figures. 13.3. Similar Figures. 13.4. Congruence and Similarity in Art. 13.5. Important Examples of Congruence and Similarity. 14. Fractals. 14.1. Overview. 14.2. Constructing Geometric Fractals. 14.3. Natural Fractals. 14.4. Fractal Dimension. 14.5. Applications OF Fractals. 15. Dynamical Systems and Chaos. 15.1. Overview. 15.2. Dynamical Systems. 15.3. Mathematical Dynamical Systems. 15.4. Chaos. 15.5. Dynamical Systems and Chaos in Art. 15.6. Chaos and Chance. 16. The Mandelbrot Set. 16.1. Overview. 16.2. The Complex Numbers. 16.3. Graphing Complex Numbers. 16.4. Constructing the Mandelbrot Set. 16.5. Properties of the Mandelbrot Set. Section V. Curves, Spaces, and Geometries. 17. Lines and Curves. 17.1. Overview. 17.2. Straight Lines and their Slopes. 17.3. Curves and Curvature. 17.4. Special Curves. 17.5. How Artists Use Lines and Curves. 18. Surfaces. 18.1. Overview. 18.2. Surfaces. 18.3. Euclidean Geometry. 18.4. Elliptic Geometry. 18.5. Hyperbolic Geometry. 18.6. The Three Geometries and Curvature. 18.7. The Three Geometries around You. 19. Euclidean and Non-Euclidean Geometries. 19.1. Overview. 19.2. Euclid’s Postulates. 19.3. The Validity of Non-Euclidean Geometries. 20. Topology. 20.1. Overview. 20.2. The Konigsberg Bridge Problem. 20.3. Topology. 20.4. Topology in Art. 21. Pictorial Composition. 21.1. Overview. 21.2. Geometric Principles of Pictorial Composition. 21.3. Portraits. 21.4. How The Eye Moves Around a Picture. 21.5. Understanding Pictorial Composition. Bibliography. Appendix A. Suggestions for Final Projects. A.1. Art Research Project. A.2. Art Research Team Project. A.3. Creative Project. Appendix B. Answers to Selected Exercises. Index.

About the Author :
Catherine A. Gorini is a professor of mathematics at Maharishi International University (MIU) in Fairfield, Iowa, where she has taught for over forty years and served as dean of the faculty and dean of the College of Arts and Sciences. Her interests include geometry and connections between geometry and art, as well as mathematics education, connections between mathematics and consciousness, and liberal arts education. She started developing a geometry course for art majors over thirty years ago. This course is now popular with students of all majors. Her numerous teaching awards include the Outstanding Teacher of the Year award by MIU students in 2021 and the Award for Distinguished College or University Teaching of Mathematics given by the Mathematical Association of America in 2001. She received the 2019 Wege Award for Research from MIU. Gorini edited Geometry at Work, published by the Mathematical Association of America, wrote the Facts on File Geometry Handbook, and has published journal articles in geometry, mathematics education, connections between mathematics and art, and the relationship between consciousness and mathematics. She is the executive editor of the International Journal of Mathematics and Consciousness and holds a PhD in mathematics from the University of Virginia in algebraic topology.


Best Sellers


Product Details
  • ISBN-13: 9780367628253
  • Publisher: Taylor & Francis Ltd
  • Binding: Paperback
  • Language: English
  • Series Title: AK Peters/CRC Recreational Mathematics Series
  • Width: 178 mm
  • ISBN-10: 0367628252
  • Publisher Date: 26 May 2023
  • Height: 254 mm
  • No of Pages: 238
  • Weight: 420 gr


Similar Products

Add Photo
Add Photo

Customer Reviews

REVIEWS      0     
Click Here To Be The First to Review this Product
Geometry for the Artist: (AK Peters/CRC Recreational Mathematics Series)
Taylor & Francis Ltd -
Geometry for the Artist: (AK Peters/CRC Recreational Mathematics Series)
Writing guidlines
We want to publish your review, so please:
  • keep your review on the product. Review's that defame author's character will be rejected.
  • Keep your review focused on the product.
  • Avoid writing about customer service. contact us instead if you have issue requiring immediate attention.
  • Refrain from mentioning competitors or the specific price you paid for the product.
  • Do not include any personally identifiable information, such as full names.

Geometry for the Artist: (AK Peters/CRC Recreational Mathematics Series)

Required fields are marked with *

Review Title*
Review
    Add Photo Add up to 6 photos
    Would you recommend this product to a friend?
    Tag this Book Read more
    Does your review contain spoilers?
    What type of reader best describes you?
    I agree to the terms & conditions
    You may receive emails regarding this submission. Any emails will include the ability to opt-out of future communications.

    CUSTOMER RATINGS AND REVIEWS AND QUESTIONS AND ANSWERS TERMS OF USE

    These Terms of Use govern your conduct associated with the Customer Ratings and Reviews and/or Questions and Answers service offered by Bookswagon (the "CRR Service").


    By submitting any content to Bookswagon, you guarantee that:
    • You are the sole author and owner of the intellectual property rights in the content;
    • All "moral rights" that you may have in such content have been voluntarily waived by you;
    • All content that you post is accurate;
    • You are at least 13 years old;
    • Use of the content you supply does not violate these Terms of Use and will not cause injury to any person or entity.
    You further agree that you may not submit any content:
    • That is known by you to be false, inaccurate or misleading;
    • That infringes any third party's copyright, patent, trademark, trade secret or other proprietary rights or rights of publicity or privacy;
    • That violates any law, statute, ordinance or regulation (including, but not limited to, those governing, consumer protection, unfair competition, anti-discrimination or false advertising);
    • That is, or may reasonably be considered to be, defamatory, libelous, hateful, racially or religiously biased or offensive, unlawfully threatening or unlawfully harassing to any individual, partnership or corporation;
    • For which you were compensated or granted any consideration by any unapproved third party;
    • That includes any information that references other websites, addresses, email addresses, contact information or phone numbers;
    • That contains any computer viruses, worms or other potentially damaging computer programs or files.
    You agree to indemnify and hold Bookswagon (and its officers, directors, agents, subsidiaries, joint ventures, employees and third-party service providers, including but not limited to Bazaarvoice, Inc.), harmless from all claims, demands, and damages (actual and consequential) of every kind and nature, known and unknown including reasonable attorneys' fees, arising out of a breach of your representations and warranties set forth above, or your violation of any law or the rights of a third party.


    For any content that you submit, you grant Bookswagon a perpetual, irrevocable, royalty-free, transferable right and license to use, copy, modify, delete in its entirety, adapt, publish, translate, create derivative works from and/or sell, transfer, and/or distribute such content and/or incorporate such content into any form, medium or technology throughout the world without compensation to you. Additionally,  Bookswagon may transfer or share any personal information that you submit with its third-party service providers, including but not limited to Bazaarvoice, Inc. in accordance with  Privacy Policy


    All content that you submit may be used at Bookswagon's sole discretion. Bookswagon reserves the right to change, condense, withhold publication, remove or delete any content on Bookswagon's website that Bookswagon deems, in its sole discretion, to violate the content guidelines or any other provision of these Terms of Use.  Bookswagon does not guarantee that you will have any recourse through Bookswagon to edit or delete any content you have submitted. Ratings and written comments are generally posted within two to four business days. However, Bookswagon reserves the right to remove or to refuse to post any submission to the extent authorized by law. You acknowledge that you, not Bookswagon, are responsible for the contents of your submission. None of the content that you submit shall be subject to any obligation of confidence on the part of Bookswagon, its agents, subsidiaries, affiliates, partners or third party service providers (including but not limited to Bazaarvoice, Inc.)and their respective directors, officers and employees.

    Accept

    Fresh on the Shelf


    Inspired by your browsing history


    Your review has been submitted!

    You've already reviewed this product!