Mathematical Illustrations
Title | Mathematical Illustrations PDF eBook |
Author | Bill Casselman |
Publisher | Cambridge University Press |
Pages | 340 |
Release | 2005-01-24 |
Genre | Computers |
ISBN | 9780521839211 |
This practical introduction to the techniques needed to produce mathematical illustrations of high quality is suitable for anyone with a modest acquaintance with coordinate geometry. The author combines a completely self-contained step-by-step introduction to the graphics programming language PostScript with advice on what goes into good mathematical illustrations, chapters showing how good graphics can be used to explain mathematics, and a treatment of all the mathematics needed to make such illustrations. The many small simple graphics projects can also be used in courses in geometry, graphics, or general mathematics. Code for many of the illustrations is included, and can be downloaded from the book's web site: www.math.ubc.ca/~cass/graphics/manualMathematicians; scientists, engineers, and even graphic designers seeking help in creating technical illustrations need look no further.
Illustrating Mathematics
Title | Illustrating Mathematics PDF eBook |
Author | Diana Davis |
Publisher | American Mathematical Soc. |
Pages | 171 |
Release | 2020-10-16 |
Genre | Education |
ISBN | 1470461226 |
This book is for anyone who wishes to illustrate their mathematical ideas, which in our experience means everyone. It is organized by material, rather than by subject area, and purposefully emphasizes the process of creating things, including discussions of failures that occurred along the way. As a result, the reader can learn from the experiences of those who came before, and will be inspired to create their own illustrations. Topics illustrated within include prime numbers, fractals, the Klein bottle, Borromean rings, tilings, space-filling curves, knot theory, billiards, complex dynamics, algebraic surfaces, groups and prime ideals, the Riemann zeta function, quadratic fields, hyperbolic space, and hyperbolic 3-manifolds. Everyone who opens this book should find a type of mathematics with which they identify. Each contributor explains the mathematics behind their illustration at an accessible level, so that all readers can appreciate the beauty of both the object itself and the mathematics behind it.
Opt Art
Title | Opt Art PDF eBook |
Author | Robert Bosch |
Publisher | Princeton University Press |
Pages | 200 |
Release | 2019-11-12 |
Genre | Art |
ISBN | 0691164061 |
Bosch provides a lively and accessible introduction to the geometric, algebraic, and algorithmic foundations of optimization. He presents classical applications, such as the legendary Traveling Salesman Problem, and shows how to adapt them to make optimization art--opt art. art.
Icons of Mathematics: An Exploration of Twenty Key Images
Title | Icons of Mathematics: An Exploration of Twenty Key Images PDF eBook |
Author | Claudi Alsina |
Publisher | American Mathematical Soc. |
Pages | 327 |
Release | 2020-06-01 |
Genre | Education |
ISBN | 1470456168 |
The authors present twenty icons of mathematics, that is, geometrical shapes such as the right triangle, the Venn diagram, and the yang and yin symbol and explore mathematical results associated with them. As with their previous books (Charming Proofs, When Less is More, Math Made Visual) proofs are visual whenever possible. The results require no more than high-school mathematics to appreciate and many of them will be new even to experienced readers. Besides theorems and proofs, the book contains many illustrations and it gives connections of the icons to the world outside of mathematics. There are also problems at the end of each chapter, with solutions provided in an appendix. The book could be used by students in courses in problem solving, mathematical reasoning, or mathematics for the liberal arts. It could also be read with pleasure by professional mathematicians, as it was by the members of the Dolciani editorial board, who unanimously recommend its publication.
Mathematical Impressions
Title | Mathematical Impressions PDF eBook |
Author | A. T. Fomenko |
Publisher | American Mathematical Soc. |
Pages | 202 |
Release | 1991 |
Genre | Art |
ISBN | 9780821801628 |
Soviet mathematician Fomenko augments his technical books and papers with visual impressions of mathematical concepts, often reminiscent of Escher, and with allusions to Breughel and Durer. Over 80 reproductions, a few in color, are accompanied by the artist's explanation of the mathematical principles being suggested. Annotation copyrighted by Book News, Inc., Portland, OR
Math and Art
Title | Math and Art PDF eBook |
Author | Sasho Kalajdzievski |
Publisher | CRC Press |
Pages | 282 |
Release | 2011-04-28 |
Genre | Mathematics |
ISBN | 1584889144 |
Math and Art: An Introduction to Visual Mathematics explores the potential of mathematics to generate visually appealing objects and reveals some of the beauty of mathematics. With downloadable resources and a 16-page full-color insert, it includes numerous illustrations, computer-generated graphics, photographs, and art reproductions to demonstrate how mathematics can inspire art. Basic Math Topics and Their Visual Aspects Focusing on accessible, visually interesting, and mathematically relevant topics, the text unifies mathematics subjects through their visual and conceptual beauty. Sequentially organized according to mathematical maturity level, each chapter covers a cross section of mathematics, from fundamental Euclidean geometry, tilings, and fractals to hyperbolic geometry, platonic solids, and topology. For art students, the book stresses an understanding of the mathematical background of relatively complicated yet intriguing visual objects. For science students, it presents various elegant mathematical theories and notions. Comprehensive Material for a Math in Art Course Providing all of the material for a complete one-semester course on mathematics in art, this self-contained text shows how artistic practice with mathematics and a comprehension of mathematical concepts are needed to logically and creatively appreciate the field of mathematics.
Math Art
Title | Math Art PDF eBook |
Author | Stephen Ornes |
Publisher | Sterling New York |
Pages | 0 |
Release | 2019 |
Genre | MATHEMATICS |
ISBN | 9781454930440 |
The worlds of visual art and mathematics beautifully unite in this spectacular volume by award-winning writer Stephen Ornes. He explores the growing sensation of math art, presenting such pieces as a colorful crocheted representation of non-Euclidian geometry that looks like sea coral and a 65-ton, 28-foot-tall bronze sculpture covered in a space-filling curve. We learn the artist's story for every work, plus the mathematical concepts and equations behind the art.