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Chapters: The Harvard Calculating Savant (fiction), Iterating Summation of Digits of Divisors to Reach 15, '60000006' in the Decimal Expansion of Pi^e, Primes Made from Powers of Ten and Fibonacci Numbers, 1729 and Brilliant Numbers as Sums of Two Cubes, On Factorials and Squares, The Famous Frank Cole Factorization and Repunits Squared Factorizations, Ten's Complements of Brilliant Numbers, Fractal Art, The 379009 Upside Down Calculator-Word Prime, Palindrome*2+1 To Get Another Palindrome, A Cautionary Tale On Collaboration, Smarandache Car Prime, The Sopfr(n) Earls Conjecture, A Challenge for Mrs. Thornburgette (fiction) Jason Earls is a guitarist, computational number theorist, and concrete poet. He is the author of the Underground Guitar Handbook, Numbers for Wittgenstein, Red Zen, Math Freak, How to Become a Guitar Player from Hell, and other books.
With the continued advance of computing power and accessibility, the view that "real mathematicians don't compute" no longer has any traction for a newer generation of mathematicians. The goal in this book is to present a coherent variety of accessible examples of modern mathematics where intelligent computing plays a significant role and in so doi
Specially selected from The New Palgrave Dictionary of Economics 2nd edition, each article within this compendium covers the fundamental themes within the discipline and is written by a leading practitioner in the field. A handy reference tool.
In 1690, Christiaan Huygens (1629-1695) published Traité de la Lumière, containing his renowned wave theory of light. It is considered a landmark in seventeenth-century science, for the way Huygens mathematized the corpuscular nature of light and his probabilistic conception of natural knowledge. This book discusses the development of Huygens' wave theory, reconstructing the winding road that eventually led to Traité de la Lumière. For the first time, the full range of manuscript sources is taken into account. In addition, the development of Huygens' thinking on the nature of light is put in the context of his optics as a whole, which was dominated by his lifelong pursuit of theoretical and practical dioptrics. In so doing, this book offers the first account of the development of Huygens' mathematical analysis of lenses and telescopes and its significance for the origin of the wave theory of light. As Huygens applied his mathematical proficiency to practical issues pertaining to telescopes – including trying to design a perfect telescope by means of mathematical theory – his dioptrics is significant for our understanding of seventeenth-century relations between theory and practice. With this full account of Huygens' optics, this book sheds new light on the history of seventeenth-century optics and the rise of the new mathematical sciences, as well as Huygens' oeuvre as a whole. Students of the history of optics, of early mathematical physics, and the Scientific Revolution, will find this book enlightening.
International Library of the Philosophy of Education reprints twenty-four distinguished texts published in this field over the last half-century and includes works by authors such as Reginald D. Archambault, Charles Bailey, Robin Barrow, Norman J. Bull, D. E. Cooper, R. F. Dearden, Kieran Egan, D. W. Hamlyn, Paul H. Hirst, Glenn Langford, D. J. O'Connor, T. W. Moore, D. A. Nyberg, R. W. K. Paterson, R. S. Peters, Kenneth A Strike, I. A. Snook, John and Patricia White, and John Wilson. Themes discussed include: Liberal education, moral education, the aims of education, the education of teachers, adult & continuing education and the philosophical analysis of education.
"Computing with Fermat" is a fascinating collection of math articles that pay tribute to the great Pierre de Fermat, exploring various math problems using computational number theory that relate to his work. With chapters such as "On Fermat's Factorization Method," "Fun With the Sqrt(n) Primality Test," "Near-Misses of Fermat's Last Theorem," and "Marin Mersenne and the Power of Modern Computing," this book offers a comprehensive look at how computational number theory is changing the game in the world of mathematics. The author, who found solace in Simon Singh's book "Fermat's Enigma" during a difficult time in his life, was inspired to delve into the world of computational number theory. The book features the author's own papers related to Fermat's work, as well as two chapters from his book "The Lowbrow Experimental Mathematician" that explore certain Fermat-type problems in elementary number theory. "Computing with Fermat" is a must-read for anyone interested in the legacy of Pierre de Fermat and the fascinating world of computational number theory. With its accessible writing style and engaging content, this book is sure to inspire and entertain readers of all levels.
"Of Literature and Knowledge looks ... like an important advance in this new and very important subject... literature is about to become even more interesting." – Edward O. Wilson, Pellegrino University Professor, Harvard University. Framed by the theory of evolution, this colourful and engaging volume presents a new understanding of the mechanisms by which we transfer information from narrative make-believe to real life. Ranging across game theory and philosophy of science, as well as poetics and aesthetics, Peter Swirski explains how literary fictions perform as a systematic tool of enquiry, driven by thought experiments. Crucially, he argues for a continuum between the cognitive tools employed by scientists, philosophers and scholars or writers of fiction. The result is a provocative study of our talent and propensity for creating imaginary worlds, different from the world we know yet invaluable to our understanding of it. Of Literature and Knowledge is a noteworthy challenge to contemporary critical theory, arguing that by bridging the gap between literature and science we might not only reinvigorate literary studies but, above all, further our understanding of literature.