Search results for: math-and-the-mona-lisa

Math and the Mona Lisa

Author : Bulent Atalay
File Size : 72.28 MB
Format : PDF, Mobi
Download : 301
Read : 181
Download »
Leonardo da Vinci was one of history's true geniuses, equally brilliant as an artist, scientist, and mathematician. Readers of The Da Vinci Code were given a glimpse of the mysterious connections between math, science, and Leonardo's art. Math and the Mona Lisa picks up where The Da Vinci Code left off, illuminating Leonardo's life and work to uncover connections that, until now, have been known only to scholars. Bülent Atalay, a distinguished scientist and artist, examines the science and mathematics that underlie Leonardo's work, paying special attention to the proportions, patterns, shapes, and symmetries that scientists and mathematicians have also identified in nature. Following Leonardo's own unique model, Atalay searches for the internal dynamics of art and science, revealing to us the deep unity of the two cultures. He provides a broad overview of the development of science from the dawn of civilization to today's quantum mechanics. From this base of information, Atalay offers a fascinating view into Leonardo's restless intellect and modus operandi, allowing us to see the source of his ideas and to appreciate his art from a new perspective.

Math and the Mona Lisa

Author : Bulent Atalay
File Size : 40.9 MB
Format : PDF, Docs
Download : 604
Read : 238
Download »
The Nature of Genius Leonardo da Vinci was one of history's true geniuses, equally brilliant as an artist, scientist, and mathematician. Readers of The Da Vinci Code were given a glimpse of the mysterious connections between math, science, and Leonardo's art. Math and the Mona Lisa picks up where The Da Vinci Code left off, illuminating Leonardo's life and work to uncover connections that, until now, have been known only to scholars. Following Leonardo's own unique model, Atalay searches for the internal dynamics of art and science, revealing to us the deep unity of the two cultures. He provides a broad overview of the development of science from the dawn of civilization to today's quantum mechanics. From this base of information, Atalay offers a fascinating view into Leonardo's restless intellect and modus operandi, allowing us to see the source of his ideas and to appreciate his art from a new perspective. William D. Phillips, who won the Nobel Prize in physics in 1997, writes of the author, "Atalay is indeed a modern renaissance man, and he invites us to tap the power of synthesis that is Leonardo's model."

Ich aber quadriere den Kreis

Author : Klaus Schröer
File Size : 51.75 MB
Format : PDF, Docs
Download : 447
Read : 1009
Download »

From Music to Mathematics

Author : Gareth E. Roberts
File Size : 30.47 MB
Format : PDF, ePub, Docs
Download : 601
Read : 233
Download »
A guided tour of the mathematical principles inherent in music. Taking a "music first" approach, Gareth E. Roberts's From Music to Mathematics will inspire students to learn important, interesting, and at times advanced mathematics. Ranging from a discussion of the geometric sequences and series found in the rhythmic structure of music to the phase-shifting techniques of composer Steve Reich, the musical concepts and examples in the book motivate a deeper study of mathematics. Comprehensive and clearly written, From Music to Mathematics is designed to appeal to readers without specialized knowledge of mathematics or music. Students are taught the relevant concepts from music theory (notation, scales, intervals, the circle of fifths, tonality, etc.), with the pertinent mathematics developed alongside the related musical topic. The mathematics advances in level of difficulty from calculating with fractions, to manipulating trigonometric formulas, to constructing group multiplication tables and proving a number is irrational. Topics discussed in the book include • Rhythm • Introductory music theory • The science of sound • Tuning and temperament • Symmetry in music • The Bartók controversy • Change ringing • Twelve-tone music • Mathematical modern music • The Hemachandra–Fibonacci numbers and the golden ratio • Magic squares • Phase shifting Featuring numerous musical excerpts, including several from jazz and popular music, each topic is presented in a clear and in-depth fashion. Sample problems are included as part of the exposition, with carefully written solutions provided to assist the reader. The book also contains more than 200 exercises designed to help develop students' analytical skills and reinforce the material in the text. From the first chapter through the last, readers eager to learn more about the connections between mathematics and music will find a comprehensive textbook designed to satisfy their natural curiosity.

The Real History Behind the Da Vinci Code

Author : Sharan Newman
File Size : 20.37 MB
Format : PDF, Kindle
Download : 526
Read : 1120
Download »
A medieval scholar examines the historical facts and myths behind the best-selling novel, including discussions on the Templars, the Holy Grail, and the "Apocryphal Gospels."

Art Meets Mathematics in the Fourth Dimension

Author : Stephen Leon Lipscomb
File Size : 86.14 MB
Format : PDF, ePub, Mobi
Download : 364
Read : 548
Download »
To see objects that live in the fourth dimension we humans would need to add a fourth dimension to our three-dimensional vision. An example of such an object that lives in the fourth dimension is a hyper-sphere or “3-sphere.” The quest to imagine the elusive 3-sphere has deep historical roots: medieval poet Dante Alighieri used a 3-sphere to convey his allegorical vision of the Christian afterlife in his Divine Comedy. In 1917, Albert Einstein visualized the universe as a 3-sphere, describing this imagery as “the place where the reader’s imagination boggles. Nobody can imagine this thing.” Over time, however, understanding of the concept of a dimension evolved. By 2003, a researcher had successfully rendered into human vision the structure of a 4-web (think of an ever increasingly-dense spider’s web). In this text, Stephen Lipscomb takes his innovative dimension theory research a step further, using the 4-web to reveal a new partial image of a 3-sphere. Illustrations support the reader’s understanding of the mathematics behind this process. Lipscomb describes a computer program that can produce partial images of a 3-sphere and suggests methods of discerning other fourth-dimensional objects that may serve as the basis for future artwork.

The Math Book

Author : Clifford A. Pickover
File Size : 85.97 MB
Format : PDF, Docs
Download : 144
Read : 1011
Download »
This book covers 250 milestones in mathematical history, beginning millions of years ago with ancient "ant odometers" and moving through time to our modern-day quest for new dimensions.

Nexus Network Journal 8 1

Author :
File Size : 82.74 MB
Format : PDF, ePub, Docs
Download : 859
Read : 449
Download »
From ancient to modern, architects have looked for fundamental underlying principles of geometry and proportion on which to found their designs. Such principles not only provide an order for the formal elements, they ground the architecture in timeless values and provide an order for the formal elements, they ground the architecture in timeless values and provide a source of cultural meaning. This book illustrates the use of fundamental principles of geometry and proportion in two ancient cultures, the Bronze Age and the Roman Age, as well as in twentieth-century North America.

Travel Math

Author : Helen Thompson
File Size : 41.59 MB
Format : PDF, ePub, Mobi
Download : 268
Read : 322
Download »
When you're traveling, there are all sorts of numbers to keep track of. If you're driving, how many gallons of gas will you need for the distance you have to cover? How much will those gallons cost you at the pump? If you're going by plane, you'll need to juggle flight schedules. If your plane is delayed by 3 hours, will you be able to make your next connection? And what about if you travel to another country where they use a different kind of money? Will you be able to figure out how to change the money you brought with you into the currency of the country? Will you be able to set your clock back the right amount when you travel across time zones? Travel Math will help you do all this and more!

Business Math

Author : Rae Simons
File Size : 34.79 MB
Format : PDF, Kindle
Download : 889
Read : 585
Download »
Have you ever thought about starting a business? Even if you just babysit . . . or mow lawns . . . or sell homemade jewelry at craft fairs, you'll need to know some basic math to help you keep track of your expenses and earnings. Businesses need math. Learn what you'll need to know to make money. Who knows where it might lead you!