Computational Mania


Book Description

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.




Behavioural and Experimental Economics


Book Description

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.




Lenses and Waves


Book Description

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


Book Description

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.







Of Literature and Knowledge


Book Description

"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.




A Programmer's Introduction to Mathematics


Book Description

A Programmer's Introduction to Mathematics uses your familiarity with ideas from programming and software to teach mathematics. You'll learn about the central objects and theorems of mathematics, including graphs, calculus, linear algebra, eigenvalues, optimization, and more. You'll also be immersed in the often unspoken cultural attitudes of mathematics, learning both how to read and write proofs while understanding why mathematics is the way it is. Between each technical chapter is an essay describing a different aspect of mathematical culture, and discussions of the insights and meta-insights that constitute mathematical intuition. As you learn, we'll use new mathematical ideas to create wondrous programs, from cryptographic schemes to neural networks to hyperbolic tessellations. Each chapter also contains a set of exercises that have you actively explore mathematical topics on your own. In short, this book will teach you to engage with mathematics. A Programmer's Introduction to Mathematics is written by Jeremy Kun, who has been writing about math and programming for 10 years on his blog "Math Intersect Programming." As of 2020, he works in datacenter optimization at Google.The second edition includes revisions to most chapters, some reorganized content and rewritten proofs, and the addition of three appendices.







New Essays in the Philosophy of Education (International Library of the Philosophy of Education Volume 13)


Book Description

The contributors to this collection of essays offer a stimulating and varied range of approaches to this developing area. The volume includes discussions on the concept of education and such related topics as indoctrination and the nature and scope of the theory of education. Aspects of education including the field of moral education, and issues which are reflected prominently in the curricula of such subjects as Mathematics and Science in schools and colleges are considered.