Freedom In Mathematics

Author : Pierre Cartier
Publisher : Springer
ISBN 13 : 8132227883
Total Pages : 117 pages
Book Rating : 4.85/5 ( download)

DOWNLOAD NOW!

Download or read book Freedom in Mathematics written by Pierre Cartier and published by Springer. This book was released on 2016-04-26 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book challenges the views put forward by Pierre Cartier, one of the anchors of the famous Bourbaki group, and Cédric Villani, one of the most brilliant mathematicians of his generation, who received the Fields Medal in 2010. Jean Dhombres, mathematician and science historian, and Gerhard Heinzmann, philosopher of science and also a specialist in mathematics engage in a fruitful dialogue with the two mathematicians, prompting readers to reflect on mathematical activity and its social consequences in history as well as in the modern world. Cédric Villani’s popular success proves once again that a common awareness has developed, albeit in a very confused way, of the major role of mathematics in the construction and efficiency of natural sciences, which are at the origin of our technologies. Despite this, the idea that mathematics cannot be shared remains firmly entrenched, a perceived failing that has even been branded a lack of culture by vocal forces in the media as well as cultural and political establishment. The authors explore three major directions in their dialogue: the highly complex relationship between mathematics and reality, the subject of many debates and opposing viewpoints; the freedom that the construction of mathematics has given humankind by enabling them to develop the natural sciences as well as mathematical research; and the responsibility with which the scientific community and governments should address the role of mathematics in research and education policies.

Author : Francis Su
Publisher : Yale University Press
ISBN 13 : 0300237138
Total Pages : 287 pages
Book Rating : 4.39/5 ( download)

DOWNLOAD NOW!

Download or read book Mathematics for Human Flourishing written by Francis Su and published by Yale University Press. This book was released on 2020-01-07 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The ancient Greeks argued that the best life was filled with beauty, truth, justice, play and love. The mathematician Francis Su knows just where to find them."--Kevin Hartnett, Quanta Magazine" This is perhaps the most important mathematics book of our time. Francis Su shows mathematics is an experience of the mind and, most important, of the heart."--James Tanton, Global Math Project For mathematician Francis Su, a society without mathematical affection is like a city without concerts, parks, or museums. To miss out on mathematics is to live without experiencing some of humanity's most beautiful ideas. In this profound book, written for a wide audience but especially for those disenchanted by their past experiences, an award-winning mathematician and educator weaves parables, puzzles, and personal reflections to show how mathematics meets basic human desires--such as for play, beauty, freedom, justice, and love--and cultivates virtues essential for human flourishing. These desires and virtues, and the stories told here, reveal how mathematics is intimately tied to being human. Some lessons emerge from those who have struggled, including philosopher Simone Weil, whose own mathematical contributions were overshadowed by her brother's, and Christopher Jackson, who discovered mathematics as an inmate in a federal prison. Christopher's letters to the author appear throughout the book and show how this intellectual pursuit can--and must--be open to all.

Author : Cassius Jackson Keyser
Publisher :
ISBN 13 :
Total Pages : 492 pages
Book Rating : 4.89/5 ( download)

DOWNLOAD NOW!

Download or read book Mathematical Philosophy written by Cassius Jackson Keyser and published by . This book was released on 1922 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Cassius Jackson Keyser
Publisher :
ISBN 13 :
Total Pages : 490 pages
Book Rating : 4.19/5 ( download)

DOWNLOAD NOW!

Download or read book Mathematical Philosophy written by Cassius Jackson Keyser and published by . This book was released on 1922 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Dirk Jan Struik
Publisher : Princeton University Press
ISBN 13 : 1400858003
Total Pages : 444 pages
Book Rating : 4.02/5 ( download)

DOWNLOAD NOW!

Download or read book A Source Book in Mathematics, 1200-1800 written by Dirk Jan Struik and published by Princeton University Press. This book was released on 2014-07-14 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: These selected mathematical writings cover the years when the foundations were laid for the theory of numbers, analytic geometry, and the calculus. Originally published in 1986. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Author : Eric Gutstein
Publisher : Rethinking Schools
ISBN 13 : 0942961544
Total Pages : 192 pages
Book Rating : 4.46/5 ( download)

DOWNLOAD NOW!

Download or read book Rethinking Mathematics written by Eric Gutstein and published by Rethinking Schools. This book was released on 2005 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this unique collection, more than 30 articles show how to weave social justice issues throughout the mathematics curriculum, as well as how to integrate mathematics into other curricular areas. Rethinking Mathematics offers teaching ideas, lesson plans, and reflections by practitioners and mathematics educators. This is real-world math-math that helps students analyze problems as they gain essential academic skills. This book offers hope and guidance for teachers to enliven and strengthen their math teaching. It will deepen students' understanding of society and help prepare them to be critical, active participants in a democracy. Blending theory and practice, this is the only resource of its kind.

Author : Robert Kaplan
Publisher : Bloomsbury Publishing USA
ISBN 13 : 1608198693
Total Pages : 417 pages
Book Rating : 4.96/5 ( download)

DOWNLOAD NOW!

Download or read book The Art of the Infinite written by Robert Kaplan and published by Bloomsbury Publishing USA. This book was released on 2014-02-04 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Traces the development of mathematical thinking and describes the characteristics of the "republic of numbers" in terms of humankind's fascination with, and growing knowledge of, infinity.

Author : Edward Frenkel
Publisher : Basic Books
ISBN 13 : 0465069959
Total Pages : 314 pages
Book Rating : 4.58/5 ( download)

DOWNLOAD NOW!

Download or read book Love and Math written by Edward Frenkel and published by Basic Books. This book was released on 2013-10-01 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: An awesome, globe-spanning, and New York Times bestselling journey through the beauty and power of mathematics What if you had to take an art class in which you were only taught how to paint a fence? What if you were never shown the paintings of van Gogh and Picasso, weren't even told they existed? Alas, this is how math is taught, and so for most of us it becomes the intellectual equivalent of watching paint dry. In Love and Math, renowned mathematician Edward Frenkel reveals a side of math we've never seen, suffused with all the beauty and elegance of a work of art. In this heartfelt and passionate book, Frenkel shows that mathematics, far from occupying a specialist niche, goes to the heart of all matter, uniting us across cultures, time, and space. Love and Math tells two intertwined stories: of the wonders of mathematics and of one young man's journey learning and living it. Having braved a discriminatory educational system to become one of the twenty-first century's leading mathematicians, Frenkel now works on one of the biggest ideas to come out of math in the last 50 years: the Langlands Program. Considered by many to be a Grand Unified Theory of mathematics, the Langlands Program enables researchers to translate findings from one field to another so that they can solve problems, such as Fermat's last theorem, that had seemed intractable before. At its core, Love and Math is a story about accessing a new way of thinking, which can enrich our lives and empower us to better understand the world and our place in it. It is an invitation to discover the magic hidden universe of mathematics.

Author : Cassius Jackson Keyser
Publisher :
ISBN 13 : 9780898754384
Total Pages : 484 pages
Book Rating : 4.80/5 ( download)

DOWNLOAD NOW!

Download or read book Mathematical Philosophy written by Cassius Jackson Keyser and published by . This book was released on 2001-06-01 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Philosophy -- A Study of Fate and FreedomMathematics is not what many people think it is - it is not a system of mere formulas and theorems. Mathematics is the science of "exact thought or rigorous thinking," and one of its distinctive characteristics is "precision, sharpness, completeness of definitions." This quality alone is sufficient to explain why people generally do not like mathematics and why even some scientists bluntly refuse to have anything to do with problems wherein mathematical reasoning is involved. In the meantime, mathematical philosophy has very little, if anything, to do with mere calculations or with numbers as such or with formulas; it is a philosophy wherein precise, sharp and rigorous thinking is essential. Those who deliberately refuse to think "rigorously"--that is mathematically--in connections where such thinking is possible, commit the sin of preferring the worse to the better; they deliberately violate the supreme law of intellectual rectitude. For years Keyser meditated upon the nature of mathematics, upon its significance in thought, and upon its bearings on human life. In the following course of lectures he endeavored to present, in the language of educated men and women, some of the maturer fruits of that study.Though the course is designed primarily for students whose major interest is in philosophy, Keyser ventured to hope that a much wider circle of readers and scholars might enjoy the lectures. To all the professional mathematicians, the teachers of mathematics, natural science students, literary critics, sociologists and the rapidly increasing class of engineers who desire to come into touch with the universal spirit of the science that Plato called divine.In 1922, when Mathematical Philosophy was originally published, Dr. Cassius J. Keyser was Adrain Professor Mathematics at Columbia University, New York.

Author : Amartya Sen
Publisher : Harvard University Press
ISBN 13 : 9780674013513
Total Pages : 756 pages
Book Rating : 4.14/5 ( download)

DOWNLOAD NOW!

Download or read book Rationality and Freedom written by Amartya Sen and published by Harvard University Press. This book was released on 2004-03-30 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rationality and freedom are among the most profound and contentious concepts in philosophy and the social sciences. In this, the first of two volumes, Amartya Sen brings clarity and insight to these difficult issues.