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Mathematics — The Music of Reason

Mathematics — The Music of Reason PDF Author: Jean Dieudonne
Publisher: Springer Science & Business Media
ISBN: 366235358X
Category : Mathematics
Languages : en
Pages : 292

Book Description
This book is of interest for students of mathematics or of neighboring subjects like physics, engineering, computer science, and also for people who have at least school level mathematics and have kept some interest in it. Also good for younger readers just reaching their final school year of mathematics.

Mathematics — The Music of Reason

Mathematics — The Music of Reason PDF Author: Jean Dieudonne
Publisher: Springer Science & Business Media
ISBN: 366235358X
Category : Mathematics
Languages : en
Pages : 292

Book Description
This book is of interest for students of mathematics or of neighboring subjects like physics, engineering, computer science, and also for people who have at least school level mathematics and have kept some interest in it. Also good for younger readers just reaching their final school year of mathematics.

The Topos of Music

The Topos of Music PDF Author: Guerino Mazzola
Publisher: Birkhäuser
ISBN: 303488141X
Category : Mathematics
Languages : en
Pages : 1310

Book Description
With contributions by numerous experts

Musical Mathematics

Musical Mathematics PDF Author: Cris Forster
Publisher: Chronicle Books
ISBN: 9780811874076
Category : Music
Languages : en
Pages : 0

Book Description
Musical Mathematics is the definitive tome for the adventurous musician. Integrating mathematics, music history, and hands-on experience, this volume serves as a comprehensive guide to the tunings and scales of acoustic instruments from around the world. Author, composer, and builder Cris Forster illuminates the mathematical principles of acoustic music, offering practical information and new discoveries about both traditional and innovative instruments.With this knowledge readers can improve, or begin to build, their own instruments inspired by Forster's creationsshown in 16 color plates. For those ready to step outside musical conventions and those whose curiosity about the science of sound is never satisfied, Musical Mathematics is the map to a new musical world.

Music and Mathematics

Music and Mathematics PDF Author: John Fauvel
Publisher: Oxford University Press, USA
ISBN: 9780199298938
Category : Mathematics
Languages : en
Pages : 208

Book Description
From ancient Greek times, music has been seen as a mathematical art, and the relationship between mathematics and music has fascinated generations. This work links these two subjects in a manner that is suitable for students of both subjects, as well as the general reader with an interest in music.

The Music of Reason

The Music of Reason PDF Author: Theoni Pappas
Publisher:
ISBN: 9781884550690
Category : Mathematics
Languages : en
Pages : 144

Book Description
Learn what Alice in Wonderland, Albert Einstein, William Shakespeare, Mae West, Plato and others have to say about mathematics. In this collection of quotations about mathematics and its connections to the imagination, humor, arts, history, nature, etc. comes from a wide variety of mathematicians, writers, scientists, artists and celebrities. With each chapter of quotations, Pappas has written a short insightful essay about mathematics, and has created graphics which enhance the thoughts and quotations.

A Mathematician's Lament

A Mathematician's Lament PDF Author: Paul Lockhart
Publisher: Bellevue Literary Press
ISBN: 1934137332
Category : Mathematics
Languages : en
Pages : 85

Book Description
“One of the best critiques of current K-12 mathematics education I have ever seen, written by a first-class research mathematician who elected to devote his teaching career to K-12 education.” —Keith Devlin, NPR’s “Math Guy” A brilliant research mathematician reveals math to be a creative art form on par with painting, poetry, and sculpture, and rejects the standard anxiety-producing teaching methods used in most schools today. Witty and accessible, Paul Lockhart’s controversial approach will provoke spirited debate among educators and parents alike, altering the way we think about math forever. Paul Lockhart is the author of Arithmetic, Measurement, and A Mathematician’s Lament. He has taught mathematics at Brown University, University of California, Santa Cruz, and to K-12 level students at St. Ann’s School in Brooklyn, New York.

Music: A Mathematical Offering

Music: A Mathematical Offering PDF Author: Dave Benson
Publisher: Cambridge University Press
ISBN: 0521853877
Category : Mathematics
Languages : en
Pages : 426

Book Description
This book explores the interaction between music and mathematics including harmony, symmetry, digital music and perception of sound.

The Outer Limits of Reason

The Outer Limits of Reason PDF Author: Noson S. Yanofsky
Publisher: MIT Press
ISBN: 026252984X
Category : Science
Languages : en
Pages : 419

Book Description
This exploration of the scientific limits of knowledge challenges our deep-seated beliefs about our universe, our rationality, and ourselves. “A must-read for anyone studying information science.” —Publishers Weekly, starred review Many books explain what is known about the universe. This book investigates what cannot be known. Rather than exploring the amazing facts that science, mathematics, and reason have revealed to us, this work studies what science, mathematics, and reason tell us cannot be revealed. In The Outer Limits of Reason, Noson Yanofsky considers what cannot be predicted, described, or known, and what will never be understood. He discusses the limitations of computers, physics, logic, and our own intuitions about the world—including our ideas about space, time, and motion, and the complex relationship between the knower and the known. Yanofsky describes simple tasks that would take computers trillions of centuries to complete and other problems that computers can never solve: • perfectly formed English sentences that make no sense • different levels of infinity • the bizarre world of the quantum • the relevance of relativity theory • the causes of chaos theory • math problems that cannot be solved by normal means • statements that are true but cannot be proven Moving from the concrete to the abstract, from problems of everyday language to straightforward philosophical questions to the formalities of physics and mathematics, Yanofsky demonstrates a myriad of unsolvable problems and paradoxes. Exploring the various limitations of our knowledge, he shows that many of these limitations have a similar pattern and that by investigating these patterns, we can better understand the structure and limitations of reason itself. Yanofsky even attempts to look beyond the borders of reason to see what, if anything, is out there.

Emblems of Mind

Emblems of Mind PDF Author: Edward Rothstein
Publisher:
ISBN: 9780812727470
Category : Mathematics
Languages : en
Pages : 0

Book Description


History Algebraic Geometry

History Algebraic Geometry PDF Author: Jean Dieudonné
Publisher: CRC Press
ISBN: 9780412993718
Category : Mathematics
Languages : en
Pages : 202

Book Description
This book contains several fundamental ideas that are revived time after time in different guises, providing a better understanding of algebraic geometric phenomena. It shows how the field is enriched with loans from analysis and topology and from commutative algebra and homological algebra.