Mathematical Illustrations

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Publisher : Cambridge University Press
ISBN 13 : 9780521839211
Total Pages : 340 pages
Book Rating : 4.8/5 (392 download)

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Book Synopsis Mathematical Illustrations by : Bill Casselman

Download or read book Mathematical Illustrations written by Bill Casselman and published by Cambridge University Press. This book was released on 2005-01-24 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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Publisher : American Mathematical Soc.
ISBN 13 : 1470461226
Total Pages : 171 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Illustrating Mathematics by : Diana Davis

Download or read book Illustrating Mathematics written by Diana Davis and published by American Mathematical Soc.. This book was released on 2020-10-16 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Icons of Mathematics: An Exploration of Twenty Key Images

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Publisher : American Mathematical Soc.
ISBN 13 : 1470456168
Total Pages : 327 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Icons of Mathematics: An Exploration of Twenty Key Images by : Claudi Alsina

Download or read book Icons of Mathematics: An Exploration of Twenty Key Images written by Claudi Alsina and published by American Mathematical Soc.. This book was released on 2020-06-01 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Geometry of an Art

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Publisher : Springer Science & Business Media
ISBN 13 : 0387489460
Total Pages : 837 pages
Book Rating : 4.3/5 (874 download)

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Book Synopsis The Geometry of an Art by : Kirsti Andersen

Download or read book The Geometry of an Art written by Kirsti Andersen and published by Springer Science & Business Media. This book was released on 2008-11-23 with total page 837 pages. Available in PDF, EPUB and Kindle. Book excerpt: This review of literature on perspective constructions from the Renaissance through the 18th century covers 175 authors, emphasizing Peiro della Francesca, Guidobaldo del Monte, Simon Stevin, Brook Taylor, and Johann Heinrich. It treats such topics as the various methods of constructing perspective, the development of theories underlying the constructions, and the communication between mathematicians and artisans in these developments.

Math at the Art Museum

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Publisher :
ISBN 13 : 9781939248039
Total Pages : 0 pages
Book Rating : 4.2/5 (48 download)

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Book Synopsis Math at the Art Museum by : Group Majoongmul

Download or read book Math at the Art Museum written by Group Majoongmul and published by . This book was released on 2015-04 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Math concepts: perspective, compositions, symmetry"--Cover.

Mathematics, Nature, Art

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Publisher : New Digital Frontiers Srl
ISBN 13 : 9788855090469
Total Pages : 134 pages
Book Rating : 4.0/5 (94 download)

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Book Synopsis Mathematics, Nature, Art by : Maria Mannone

Download or read book Mathematics, Nature, Art written by Maria Mannone and published by New Digital Frontiers Srl. This book was released on 2019 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents images from nature investigated in light of mathematics (category theory), and their possible musical rendition.

Math and Art

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Publisher : CRC Press
ISBN 13 : 1584889144
Total Pages : 282 pages
Book Rating : 4.5/5 (848 download)

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Book Synopsis Math and Art by : Sasho Kalajdzievski

Download or read book Math and Art written by Sasho Kalajdzievski and published by CRC Press. This book was released on 2011-04-28 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematics and Art

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Publisher : Princeton University Press
ISBN 13 : 0691165289
Total Pages : 576 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Mathematics and Art by : Lynn Gamwell

Download or read book Mathematics and Art written by Lynn Gamwell and published by Princeton University Press. This book was released on 2016 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a cultural history of mathematics and art, from antiquity to the present. Mathematicians and artists have long been on a quest to understand the physical world they see before them and the abstract objects they know by thought alone. Taking readers on a tour of the practice of mathematics and the philosophical ideas that drive the discipline, Lynn Gamwell points out the important ways mathematical concepts have been expressed by artists. Sumptuous illustrations of artworks and cogent math diagrams are featured in Gamwell's comprehensive exploration. Gamwell begins by describing mathematics from antiquity to the Enlightenment, including Greek, Islamic, and Asian mathematics. Then focusing on modern culture, Gamwell traces mathematicians' search for the foundations of their science, such as David Hilbert's conception of mathematics as an arrangement of meaning-free signs, as well as artists' search for the essence of their craft, such as Aleksandr Rodchenko's monochrome paintings. She shows that self-reflection is inherent to the practice of both modern mathematics and art, and that this introspection points to a deep resonance between the two fields: Kurt Gödel posed questions about the nature of mathematics in the language of mathematics and Jasper Johns asked "What is art?" in the vocabulary of art. Throughout, Gamwell describes the personalities and cultural environments of a multitude of mathematicians and artists, from Gottlob Frege and Benoît Mandelbrot to Max Bill and Xu Bing. Mathematics and Art demonstrates how mathematical ideas are embodied in the visual arts and will enlighten all who are interested in the complex intellectual pursuits, personalities, and cultural settings that connect these vast disciplines.

Math Art

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Publisher : Sterling New York
ISBN 13 : 9781454930440
Total Pages : 0 pages
Book Rating : 4.9/5 (34 download)

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Book Synopsis Math Art by : Stephen Ornes

Download or read book Math Art written by Stephen Ornes and published by Sterling New York. This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Impressions

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821801628
Total Pages : 202 pages
Book Rating : 4.8/5 (16 download)

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Book Synopsis Mathematical Impressions by : A. T. Fomenko

Download or read book Mathematical Impressions written by A. T. Fomenko and published by American Mathematical Soc.. This book was released on 1991 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Pension Mathematics with Numerical Illustrations

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Publisher : University of Pennsylvania Press
ISBN 13 : 9780812231960
Total Pages : 342 pages
Book Rating : 4.2/5 (319 download)

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Book Synopsis Pension Mathematics with Numerical Illustrations by : Howard E. Winklevoss

Download or read book Pension Mathematics with Numerical Illustrations written by Howard E. Winklevoss and published by University of Pennsylvania Press. This book was released on 1993-03-29 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: A text that quantifies and provides new or improved actuarial notation for long recognized pension cost concepts and procedures and, in certain areas, develops new insights and techniques. With the exception of the first few chapters, the text is a virtual rewrite of the first edition of 1977. Among the major additions are chapters on statutory funding requirements, pension accounting, funding policy analysis, asset allocation, and retiree health benefits.

Math with Bad Drawings

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Publisher : Black Dog & Leventhal
ISBN 13 : 0316509027
Total Pages : 556 pages
Book Rating : 4.3/5 (165 download)

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Book Synopsis Math with Bad Drawings by : Ben Orlin

Download or read book Math with Bad Drawings written by Ben Orlin and published by Black Dog & Leventhal. This book was released on 2018-09-18 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: A hilarious reeducation in mathematics-full of joy, jokes, and stick figures-that sheds light on the countless practical and wonderful ways that math structures and shapes our world. In Math With Bad Drawings, Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols, and the wild leaps of logic and faith that define the usually impenetrable work of the mathematician. Truth and knowledge come in multiple forms: colorful drawings, encouraging jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone. Orlin shows us how to think like a mathematician by teaching us a brand-new game of tic-tac-toe, how to understand an economic crises by rolling a pair of dice, and the mathematical headache that ensues when attempting to build a spherical Death Star. Every discussion in the book is illustrated with Orlin's trademark "bad drawings," which convey his message and insights with perfect pitch and clarity. With 24 chapters covering topics from the electoral college to human genetics to the reasons not to trust statistics, Math with Bad Drawings is a life-changing book for the math-estranged and math-enamored alike.

Math Games with Bad Drawings

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Publisher : Black Dog & Leventhal Publishers, Incorporated
ISBN 13 : 9780762499861
Total Pages : 368 pages
Book Rating : 4.4/5 (998 download)

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Book Synopsis Math Games with Bad Drawings by : Ben Orlin

Download or read book Math Games with Bad Drawings written by Ben Orlin and published by Black Dog & Leventhal Publishers, Incorporated. This book was released on 2022-04-05 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Best-selling author and worst-drawing artist Ben Orlin expands his oeuvre with this interactive collection of mathematical games. Each taking a minute to learn and a lifetime to master, this treasure chest of 70-plus games will delight, educate, and entertain"--

Proof and the Art of Mathematics

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Publisher : MIT Press
ISBN 13 : 0262362562
Total Pages : 132 pages
Book Rating : 4.2/5 (623 download)

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Book Synopsis Proof and the Art of Mathematics by : Joel David Hamkins

Download or read book Proof and the Art of Mathematics written by Joel David Hamkins and published by MIT Press. This book was released on 2021-02-23 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: How to write mathematical proofs, shown in fully-worked out examples. This is a companion volume Joel Hamkins's Proof and the Art of Mathematics, providing fully worked-out solutions to all of the odd-numbered exercises as well as a few of the even-numbered exercises. In many cases, the solutions go beyond the exercise question itself to the natural extensions of the ideas, helping readers learn how to approach a mathematical investigation. As Hamkins asks, "Once you have solved a problem, why not push the ideas harder to see what further you can prove with them?" These solutions offer readers examples of how to write a mathematical proofs. The mathematical development of this text follows the main book, with the same chapter topics in the same order, and all theorem and exercise numbers in this text refer to the corresponding statements of the main text.

Opt Art

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Publisher : Princeton University Press
ISBN 13 : 0691164061
Total Pages : 200 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Opt Art by : Robert Bosch

Download or read book Opt Art written by Robert Bosch and published by Princeton University Press. This book was released on 2019-11-12 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Beautiful Symmetry

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Publisher : MIT Press
ISBN 13 : 026253892X
Total Pages : 165 pages
Book Rating : 4.2/5 (625 download)

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Book Synopsis Beautiful Symmetry by : Alex Berke

Download or read book Beautiful Symmetry written by Alex Berke and published by MIT Press. This book was released on 2020-02-18 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: A coloring book that invites readers to explore symmetry and the beauty of math visually. Beautiful Symmetry is a coloring book about math, inviting us to engage with mathematical concepts visually through coloring challenges and visual puzzles. We can explore symmetry and the beauty of mathematics playfully, coloring through ideas usually reserved for advanced courses. The book is for children and adults, for math nerds and math avoiders, for educators, students, and coloring enthusiasts. Through illustration, language that is visual, and words that are jargon-free, the book introduces group theory as the mathematical foundation for discussions of symmetry, covering symmetry groups that include the cyclic groups, frieze groups, and wallpaper groups. The illustrations are drawn by algorithms, following the symmetry rules for each given group. The coloring challenges can be completed and fully realized only on the page; solutions are provided. Online, in a complementary digital edition, the illustrations come to life with animated interactions that show the symmetries that generated them. Traditional math curricula focus on arithmetic and the manipulation of numbers, and may make some learners feel that math is not for them. By offering a more visual and tactile approach, this book shows how math can be for everyone. Combining the playful and the pedagogical, Beautiful Symmetry offers both relaxing entertainment for recreational colorers and a resource for math-curious readers, students, and educators.

An Illustrated Theory of Numbers

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Publisher : American Mathematical Soc.
ISBN 13 : 1470463717
Total Pages : 341 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis An Illustrated Theory of Numbers by : Martin H. Weissman

Download or read book An Illustrated Theory of Numbers written by Martin H. Weissman and published by American Mathematical Soc.. This book was released on 2020-09-15 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: News about this title: — Author Marty Weissman has been awarded a Guggenheim Fellowship for 2020. (Learn more here.) — Selected as a 2018 CHOICE Outstanding Academic Title — 2018 PROSE Awards Honorable Mention An Illustrated Theory of Numbers gives a comprehensive introduction to number theory, with complete proofs, worked examples, and exercises. Its exposition reflects the most recent scholarship in mathematics and its history. Almost 500 sharp illustrations accompany elegant proofs, from prime decomposition through quadratic reciprocity. Geometric and dynamical arguments provide new insights, and allow for a rigorous approach with less algebraic manipulation. The final chapters contain an extended treatment of binary quadratic forms, using Conway's topograph to solve quadratic Diophantine equations (e.g., Pell's equation) and to study reduction and the finiteness of class numbers. Data visualizations introduce the reader to open questions and cutting-edge results in analytic number theory such as the Riemann hypothesis, boundedness of prime gaps, and the class number 1 problem. Accompanying each chapter, historical notes curate primary sources and secondary scholarship to trace the development of number theory within and outside the Western tradition. Requiring only high school algebra and geometry, this text is recommended for a first course in elementary number theory. It is also suitable for mathematicians seeking a fresh perspective on an ancient subject.