Author : Ernő Rubik
Publisher : Oxford University Press, USA
Page : 248 pages
File Size : 26,30 MB
Release : 1987
Category : Games & Activities
ISBN :
Co-written by the cube's inventor, this book serves as a comprehensive guide to the Rubik's cube. It opens up a wealth of fascinating mathematics and offers a vast number of new ideas and possibilities to those who have solved the cube as well as to those who remain puzzled.
Author : David Joyner
Publisher : JHU Press
Page : 329 pages
File Size : 48,51 MB
Release : 2008-12-29
Category : Mathematics
ISBN : 0801890136
David Joyner uses mathematical toys such as the Rubik's Cube to make abstract algebra and group theory fun. This updated second edition uses SAGE, an open-source computer algebra system, to illustrate many of the computations.
Author : David Singmaster
Publisher :
Page : 0 pages
File Size : 20,44 MB
Release : 1981
Category : Games & Activities
ISBN : 9780894900570
Author : Andrei Sorin
Publisher : Andsor Books
Page : 934 pages
File Size : 35,57 MB
Release : 2013-01-01
Category : Science
ISBN : 0986938904
Addressing general readers as well as software practitioners, "Software and Mind" discusses the fallacies of the mechanistic ideology and the degradation of minds caused by these fallacies. Mechanism holds that every aspect of the world can be represented as a simple hierarchical structure of entities. But, while useful in fields like mathematics and manufacturing, this idea is generally worthless, because most aspects of the world are too complex to be reduced to simple hierarchical structures. Our software-related affairs, in particular, cannot be represented in this fashion. And yet, all programming theories and development systems, and all software applications, attempt to reduce real-world problems to neat hierarchical structures of data, operations, and features. Using Karl Popper's famous principles of demarcation between science and pseudoscience, the book shows that the mechanistic ideology has turned most of our software-related activities into pseudoscientific pursuits. Using mechanism as warrant, the software elites are promoting invalid, even fraudulent, software notions. They force us to depend on generic, inferior systems, instead of allowing us to develop software skills and to create our own systems. Software mechanism emulates the methods of manufacturing, and thereby restricts us to high levels of abstraction and simple, isolated structures. The benefits of software, however, can be attained only if we start with low-level elements and learn to create complex, interacting structures. Software, the book argues, is a non-mechanistic phenomenon. So it is akin to language, not to physical objects. Like language, it permits us to mirror the world in our minds and to communicate with it. Moreover, we increasingly depend on software in everything we do, in the same way that we depend on language. Thus, being restricted to mechanistic software is like thinking and communicating while being restricted to some ready-made sentences supplied by an elite. Ultimately, by impoverishing software, our elites are achieving what the totalitarian elite described by George Orwell in "Nineteen Eighty-Four" achieves by impoverishing language: they are degrading our minds.
Author : Alexander H Frey Jr
Publisher : Lutterworth Press
Page : 184 pages
File Size : 31,64 MB
Release : 2020-09-24
Category : Mathematics
ISBN : 0718848233
The Handbook of Cubic Math unveils the theory involved in Rubik's Cube's solution, the potential applications of that theory to other similar puzzles, and how the cube provides a physical example for many concepts in mathematics where such examples are difficult to find. Nonetheless, the authors have been able to cover and explain these topics in a way which is easily understandable to the layman, suitable for a junior-high-school or high-school course in math, and appropriate for a college course in modern algebra. This manual will satisfy the experts' curiosity about the moves that lead to the solution of the cube and will offer a useful supplementary teaching aid to the beginners.
Author : Patrick Bossert
Publisher : Penguin UK
Page : 118 pages
File Size : 40,36 MB
Release : 2008-10-30
Category : Juvenile Nonfiction
ISBN : 0141327316
Are you going cube-crazy? This easy to follow guide has everything you need to know about the Rubik's cube. From simple step-by-step instructions showing how to complete it, to how the cube was invented, plus lots of other cube challenges to test your skills - it's time to get cubing!
Author : Zoltán Göncz
Publisher : Scarecrow Press
Page : 195 pages
File Size : 16,48 MB
Release : 2012-12-19
Category : Music
ISBN : 0810884488
Written late in his life, J. S. Bach’s The Art of Fugue has long been admired—in some quarters revered—as one of his masterworks. Its last movement, Contrapunctus 14, went unfinished, and the enigma of its incompleteness still preoccupies scholars and musical conductors alike. In 1881, Gustav Nottebohm discovered that the three subjects of the movement could be supplemented by a fourth. In 1993, Zoltán Göncz revealed that Bach had planned the passage that would join the four subjects in an entirely unique way. This section has not survived, but, as Göncz notes, it must have been ready in the earliest phase of composition since Bach had created the expositions of the first three subjects from its “disjointed” parts. Göncz then boldly took on the task of reconstructing the original “template” by putting together the once separate pieces. In Bach’s Testament: On the Philosophical and Theological Background of The Art of Fugue, Göncz probes the philosophic-theological background of The Art of Fugue, revealing the special structures that supported the 1993 reconstruction. Bach’s Testament investigates the reconstruction’s metaphysical dimensions, focusing on the quadruple fugue. As a summary of Zoltán Göncz’s extensive research over many years, which resulted in the completion of the fugue, this work explores the complex combinatorial, philosophical and theological considerations that inform its structure. Bach’s Testament is ideally suited not only to Bach scholars and musicologists but also intellectual historians with particular interests in 18th-century religious and philosophical ideas.
Author : David Singmaster
Publisher : World Scientific
Page : 247 pages
File Size : 30,38 MB
Release : 2015
Category : Games & Activities
ISBN : 9814663654
This book is a collection of over 200 problems that David Singmaster has composed since 1987. Some of the math problems have appeared in his various puzzle columns for BBC Radio and TV, Canadian Broadcasting, Focus (the UK popular science magazine), Games and Puzzles, the Los Angeles Times, Micromath, the Puzzle a Day memo pad and the Weekend Telegraph. While some of these are already classics, many of the puzzles have not been published elsewhere previously. Puzzle enthusiasts of all ages will find here arithmetic problems, properties of digits; monetary problems; alpha-metics; Diophantine problems; magic figures; sequence problems; logical problems; geometric problems; physics problems; combinatorial problems; geographic problems; calendar problems; clock problems; dissection problems and verbal problems.
Author : Skottie Young
Publisher : Image Comics
Page : 568 pages
File Size : 14,47 MB
Release : 2021-07-07
Category : Comics & Graphic Novels
ISBN : 1534321381
When a violent storm levels his sleepy Middlewest town, Abel and his childhood companion, Fox, must hastily flee into a world of mystical carnies and soothsayer hobos, bridge trolls and wilderness spirits, endless forests and forgotten children. SKOTTIE YOUNG (Strange Academy, I HATE FAIRYLAND) and JORGE CORONA (NO. 1 WITH A BULLET, Feathers), with colorist JEAN-FRANCOIS BEAULIEU and letterer NATE PIEKOS, collect the complete Eisner Award-nominated tale of Abel, a boy who must navigate a strange and mysterious land in order to discover who he can become. Collects MIDDLEWEST #1-18, with exclusive bonus features!
Author : Avi Wigderson
Publisher : Princeton University Press
Page : 434 pages
File Size : 34,45 MB
Release : 2019-10-29
Category : Computers
ISBN : 0691189137
From the winner of the Turing Award and the Abel Prize, an introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography
