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The Annotated Turing
''The Annotated Turing: A Guided Tour Through Alan Turing’s Historic Paper on Computability and the Turing Machine'' is a book by Charles Petzold, published in 2008 by John Wiley & Sons, Inc. Petzold annotates Alan Turing's paper "On Computable Numbers, with an Application to the Entscheidungsproblem". The book takes readers sentence by sentence through Turing's paper, providing explanations, further examples, corrections, and biographical information. Table of contents * ''Part I. Foundations'' ** ''Chapter 1: This Tomb Holds Diophantus'' ** ''Chapter 2: The Irrational and the Transcendental'' ** ''Chapter 3: Centuries of Progress'' * ''Part II. Computable Numbers'' ** ''Chapter 4: The Education of Alan Turing'' ** ''Chapter 5: Machines at Work'' ** ''Chapter 6: Addition and Multiplication'' ** ''Chapter 7: Also Known as Subroutines'' ** ''Chapter 8: Everything is a Number'' ** ''Chapter 9: The Universal Machine'' ** ''Chapter 10: Computers and Computability'' ** ''Chapter 11 ...
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Charles Petzold
Charles Petzold (born February 2, 1953) is an American programmer and technical author on Microsoft Windows applications. He is also a Microsoft Most Valuable Professional and was named one of Microsoft's seven Windows Pioneers. Biography He graduated with a Master of Science in Mathematics from Stevens Institute of Technology in 1975. Aside from writing books about Windows programming he has contributed to various magazines about computers. He had an interest in electronic music and in 1977 started building electronic music instruments out of CMOS chips. In 1979, Petzold started building a computer-controlled digital electronic music synthesizer based on the Zilog Z80 microprocessor. This experience of digital circuitry and assembly language programming formed the basis of his book ''Code: The Hidden Language of Computer Hardware and Software''. Petzold purchased a two-diskette IBM PC in 1984 for $5,000. This debt encouraged him to use the PC to earn some revenue so he w ...
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Alan Turing
Alan Mathison Turing (; 23 June 1912 – 7 June 1954) was an English mathematician, computer scientist, logician, cryptanalyst, philosopher, and theoretical biologist. Turing was highly influential in the development of theoretical computer science, providing a formalisation of the concepts of algorithm and computation with the Turing machine, which can be considered a model of a general-purpose computer. He is widely considered to be the father of theoretical computer science and artificial intelligence. Born in Maida Vale, London, Turing was raised in southern England. He graduated at King's College, Cambridge, with a degree in mathematics. Whilst he was a fellow at Cambridge, he published a proof demonstrating that some purely mathematical yes–no questions can never be answered by computation and defined a Turing machine, and went on to prove that the halting problem for Turing machines is undecidable. In 1938, he obtained his PhD from the Department of ...
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Mathematics Books
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them. These objects consist of either abstractions from nature orin modern mathematicsentities that are stipulated to have certain properties, called axioms. A ''proof'' consists of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, andin case of abstraction from naturesome basic properties that are considered true starting points of t ...
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2008 Non-fiction Books
8 (eight) is the natural number following 7 and preceding 9. In mathematics 8 is: * a composite number, its proper divisors being , , and . It is twice 4 or four times 2. * a power of two, being 2 (two cubed), and is the first number of the form , being an integer greater than 1. * the first number which is neither prime nor semiprime. * the base of the octal number system, which is mostly used with computers. In octal, one digit represents three bits. In modern computers, a byte is a grouping of eight bits, also called an octet. * a Fibonacci number, being plus . The next Fibonacci number is . 8 is the only positive Fibonacci number, aside from 1, that is a perfect cube. * the only nonzero perfect power that is one less than another perfect power, by Mihăilescu's Theorem. * the order of the smallest non-abelian group all of whose subgroups are normal. * the dimension of the octonions and is the highest possible dimension of a normed division algebra. * the first numb ...
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YouTube
YouTube is a global online video sharing and social media platform headquartered in San Bruno, California. It was launched on February 14, 2005, by Steve Chen, Chad Hurley, and Jawed Karim. It is owned by Google, and is the second most visited website, after Google Search. YouTube has more than 2.5 billion monthly users who collectively watch more than one billion hours of videos each day. , videos were being uploaded at a rate of more than 500 hours of content per minute. In October 2006, YouTube was bought by Google for $1.65 billion. Google's ownership of YouTube expanded the site's business model, expanding from generating revenue from advertisements alone, to offering paid content such as movies and exclusive content produced by YouTube. It also offers YouTube Premium, a paid subscription option for watching content without ads. YouTube also approved creators to participate in Google's AdSense program, which seeks to generate more revenue for both parties. ...
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The Turing Guide
''The Turing Guide'', written by Jack Copeland, Jonathan Bowen, Mark Sprevak, Robin Wilson, and others and published in 2017, is a book about the work and life of the British mathematician, philosopher, and early computer scientist, Alan Turing (1912–1954). Overview The book includes 42 contributed chapters by a variety of authors, including some contemporaries of Alan Turing. The book was published in January 2017 by Oxford University Press, in hardcover, paperback, and e-book formats. Contents ''The Turing Guide'' is divided into eight main parts, covering various aspects of Alan Turing's life and work: # ''Biography'': Biographical aspects of Alan Turing. # ''The Universal Machine and Beyond'': Turing's universal machine (now known as a Turing machine), developed while at King's College, Cambridge, which provides a theoretical framework for reasoning about computation, a starting point for the field of theoretical computer science. # ''Codebreaker'': Turing's work on c ...
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The Enigma
Enigma may refer to: *Riddle, someone or something that is mysterious or puzzling Biology *ENIGMA, a class of gene in the LIM domain Computing and technology *Enigma (company), a New York-based data-technology startup * Enigma machine, a family of German electro-mechanical encryption machines *Enigma, the codename for Red Hat Linux 7.2 *Enigma (DVB), the second generation of Enigma software Film * ''Enigma'' (1982 film), a film starring Martin Sheen and Sam Neill * ''Enigma'' (2001 film), a film adapted from the Robert Harris novel * ''Enigma'' (2009 film), a short film by the Shumway Brothers Literature * ''Enigma'' (novel), a 1995 novel by Robert Harris *Enigma (DC Comics), a DC Comics character *Enigma (Marvel Comics), a Marvel Comics character * ''Enigma'' (Vertigo), a title published by DC's imprint Vertigo * ''Enigma'' (manga), a 2010 manga published in ''Weekly Shōnen Jump'' *''Enigma Cipher'', a series from Boom! Studios *''Enigma'', a novel in ''The Trigon Disunity'' se ...
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Entscheidungsproblem
In mathematics and computer science, the ' (, ) is a challenge posed by David Hilbert and Wilhelm Ackermann in 1928. The problem asks for an algorithm that considers, as input, a statement and answers "Yes" or "No" according to whether the statement is ''universally valid'', i.e., valid in every structure satisfying the axioms. Completeness theorem By the completeness theorem of first-order logic, a statement is universally valid if and only if it can be deduced from the axioms, so the ' can also be viewed as asking for an algorithm to decide whether a given statement is provable from the axioms using the rules of logic. In 1936, Alonzo Church and Alan Turing published independent papers showing that a general solution to the ' is impossible, assuming that the intuitive notion of " effectively calculable" is captured by the functions computable by a Turing machine (or equivalently, by those expressible in the lambda calculus). This assumption is now known as the Church–Tur ...
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University Of Maryland At College Park
The University of Maryland, College Park (University of Maryland, UMD, or simply Maryland) is a public land-grant research university in College Park, Maryland. Founded in 1856, UMD is the flagship institution of the University System of Maryland. It is also the largest university in both the state and the Washington metropolitan area, with more than 41,000 students representing all fifty states and 123 countries, and a global alumni network of over 388,000. Together, its 12 schools and colleges offer over 200 degree-granting programs, including 92 undergraduate majors, 107 master's programs, and 83 doctoral programs. UMD is a member of the Association of American Universities and competes in intercollegiate athletics as a member of the Big Ten Conference. The University of Maryland's proximity to the nation's capital has resulted in many research partnerships with the federal government; faculty receive research funding and institutional support from many agencies, such as th ...
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Mathematics
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them. These objects consist of either abstractions from nature orin modern mathematicsentities that are stipulated to have certain properties, called axioms. A ''proof'' consists of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, andin case of abstraction from naturesome basic properties that are considered true starting poin ...
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American Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs. The society is one of the four parts of the Joint Policy Board for Mathematics and a member of the Conference Board of the Mathematical Sciences. History The AMS was founded in 1888 as the New York Mathematical Society, the brainchild of Thomas Fiske, who was impressed by the London Mathematical Society on a visit to England. John Howard Van Amringe was the first president and Fiske became secretary. The society soon decided to publish a journal, but ran into some resistance, due to concerns about competing with the American Journal of Mathematics. The result was the '' Bulletin of the American Mathematical Society'', with Fiske as editor-in-chief. The de facto journal, as intended, was influential ...
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Notices Of The AMS
''Notices of the American Mathematical Society'' is the membership journal of the American Mathematical Society (AMS), published monthly except for the combined June/July issue. The first volume appeared in 1953. Each issue of the magazine since January 1995 is available in its entirety on the journal web site. Articles are peer-reviewed by an editorial board of mathematical experts. Since 2019, the editor-in-chief is Erica Flapan. The cover regularly features mathematical visualizations. The ''Notices'' is self-described to be the world's most widely read mathematical journal. As the membership journal of the American Mathematical Society, the ''Notices'' is sent to the approximately 30,000 AMS members worldwide, one-third of whom reside outside the United States. By publishing high-level exposition, the ''Notices'' provides opportunities for mathematicians to find out what is going on in the field. Each issue contains one or two such expository articles that describe current d ...
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