Download or read book Foundations of Logic and Mathematics written by Yves Nievergelt and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: This modern introduction to the foundations of logic and mathematics not only takes theory into account, but also treats in some detail applications that have a substantial impact on everyday life (loans and mortgages, bar codes, public-key cryptography). A first college-level introduction to logic, proofs, sets, number theory, and graph theory, and an excellent self-study reference and resource for instructors.
Download or read book Mathematics under the Microscope written by Alexandre Borovik and published by American Mathematical Soc.. This book was released on 2010 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discusses, from a working mathematician's point of view, the mystery of mathematical intuition: Why are certain mathematical concepts more intuitive than others? And to what extent does the 'small scale' structure of mathematical concepts and algorithms reflect the workings of the human brain?
Download or read book x y written by Eugenia Cheng and published by Profile Books. This book was released on 2020-07-16 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: From imaginary numbers to the fourth dimension and beyond, mathematics has always been about imagining things that seem impossible at first glance. In x+y, Eugenia Cheng draws on the insights of higher-dimensional mathematics to reveal a transformative new way of talking about the patriarchy, mansplaining and sexism: a way that empowers all of us to make the world a better place. Using precise mathematical reasoning to uncover everything from the sexist assumptions that make society a harder place for women to live to the limitations of science and statistics in helping us understand the link between gender and society, Cheng's analysis replaces confusion with clarity, brings original thinking to well worn arguments - and provides a radical, illuminating and liberating new way of thinking about the world and women's place in it.
Download or read book The Art of Logic in an Illogical World written by Eugenia Cheng and published by Basic Books. This book was released on 2018-09-11 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: How both logical and emotional reasoning can help us live better in our post-truth world In a world where fake news stories change election outcomes, has rationality become futile? In The Art of Logic in an Illogical World, Eugenia Cheng throws a lifeline to readers drowning in the illogic of contemporary life. Cheng is a mathematician, so she knows how to make an airtight argument. But even for her, logic sometimes falls prey to emotion, which is why she still fears flying and eats more cookies than she should. If a mathematician can't be logical, what are we to do? In this book, Cheng reveals the inner workings and limitations of logic, and explains why alogic -- for example, emotion -- is vital to how we think and communicate. Cheng shows us how to use logic and alogic together to navigate a world awash in bigotry, mansplaining, and manipulative memes. Insightful, useful, and funny, this essential book is for anyone who wants to think more clearly.
Download or read book Molly and the Mathematical Mysteries written by Eugenia Cheng and published by Big Picture Press. This book was released on 2021-03-30 with total page 63 pages. Available in PDF, EPUB and Kindle. Book excerpt: Find the clues and lift the flaps on this mathematical mystery! Join Molly as she ventures into a curious world where nothing is quite as it seems. A trail of clues leads from scene to scene, presenting Molly with a number of challenges. But who is leaving the clues, and where will they lead? This interactive mystery shows math isn't just about numbers—it’s about imagination! An explorative and creative approach to the world of mathematics.
Download or read book Beyond Infinity written by Eugenia Cheng and published by Profile Books. This book was released on 2017-03-09 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: SHORTLISTED FOR THE 2017 ROYAL SOCIETY SCIENCE BOOK PRIZE Even small children know there are infinitely many whole numbers - start counting and you'll never reach the end. But there are also infinitely many decimal numbers between zero and one. Are these two types of infinity the same? Are they larger or smaller than each other? Can we even talk about 'larger' and 'smaller' when we talk about infinity? In Beyond Infinity, international maths sensation Eugenia Cheng reveals the inner workings of infinity. What happens when a new guest arrives at your infinite hotel - but you already have an infinite number of guests? How does infinity give Zeno's tortoise the edge in a paradoxical foot-race with Achilles? And can we really make an infinite number of cookies from a finite amount of cookie dough? Wielding an armoury of inventive, intuitive metaphor, Cheng draws beginners and enthusiasts alike into the heart of this mysterious, powerful concept to reveal fundamental truths about mathematics, all the way from the infinitely large down to the infinitely small.
Download or read book Pr cis of the Lectures on Architecture written by Jean-Nicolas-Louis Durand and published by Getty Publications. This book was released on 2000-01-01 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: Jean-Nicolas-Louis Durand (1760–1834) regarded the Précis of the Lectures on Architecture (1802–5) and its companion volume, the Graphic Portion (1821), as both a basic course for future civil engineers and a treatise. Focusing the practice of architecture on utilitarian and economic values, he assailed the rationale behind classical architectural training: beauty, proportionality, and symbolism. His formal systematization of plans, elevations, and sections transformed architectural design into a selective modular typology in which symmetry and simple geometrical forms prevailed. His emphasis on pragmatic values, to the exclusion of metaphysical concerns, represented architecture as a closed system that subjected its own formal language to logical processes. Now published in English for the first time, the Précis and the Graphic Portion are classics of architectural education.
Download or read book Pythagoras Revenge written by Arturo Sangalli and published by Princeton University Press. This book was released on 2009-04-20 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: The celebrated mathematician and philosopher Pythagoras left no writings. But what if he had and the manuscript was never found? Where would it be located? And what information would it reveal? These questions are the inspiration for the mathematical mystery novel Pythagoras' Revenge. Suspenseful and instructive, Pythagoras' Revenge weaves fact, fiction, mathematics, computer science, and ancient history into a surprising and sophisticated thriller. The intrigue begins when Jule Davidson, a young American mathematician who trolls the internet for difficult math riddles and stumbles upon a neo-Pythagorean sect searching for the promised reincarnation of Pythagoras. Across the ocean, Elmer Galway, a professor of classical history at Oxford, discovers an Arabic manuscript hinting at the existence of an ancient scroll--possibly left by Pythagoras himself. Unknown to one another, Jule and Elmer each have information that the other requires and, as they race to solve the philosophical and mathematical puzzles set before them, their paths ultimately collide. Set in 1998 with flashbacks to classical Greece, Pythagoras' Revenge investigates the confrontation between opposing views of mathematics and reality, and explores ideas from both early and cutting-edge mathematics. From academic Oxford to suburban Chicago and historic Rome, Pythagoras' Revenge is a sophisticated thriller that will grip readers from beginning to surprising end.
Download or read book The Mathematician s Mind written by Jacques Hadamard and published by Princeton University Press. This book was released on 2020-05-05 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fifty years ago when Jacques Hadamard set out to explore how mathematicians invent new ideas, he considered the creative experiences of some of the greatest thinkers of his generation, such as George Polya, Claude Lévi-Strauss, and Albert Einstein. It appeared that inspiration could strike anytime, particularly after an individual had worked hard on a problem for days and then turned attention to another activity. In exploring this phenomenon, Hadamard produced one of the most famous and cogent cases for the existence of unconscious mental processes in mathematical invention and other forms of creativity. Written before the explosion of research in computers and cognitive science, his book, originally titled The Psychology of Invention in the Mathematical Field, remains an important tool for exploring the increasingly complex problem of mental life. The roots of creativity for Hadamard lie not in consciousness, but in the long unconscious work of incubation, and in the unconscious aesthetic selection of ideas that thereby pass into consciousness. His discussion of this process comprises a wide range of topics, including the use of mental images or symbols, visualized or auditory words, "meaningless" words, logic, and intuition. Among the important documents collected is a letter from Albert Einstein analyzing his own mechanism of thought.
Download or read book India Calling written by Anand Giridharadas and published by ReadHowYouWant.com. This book was released on 2011-02-28 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reversing his parents immigrant path, a young writer returns to India and discovers an old country making itself new. Anand Giridharadas sensed something was afoot as his plane prepared to land in Bombay. An elderly passenger looked at him and said, Were all trying to go that way, pointing to the rear. You, youre going this way. Giridharadas was...
Download or read book Between Silk and Cyanide written by Leo Marks and published by Simon and Schuster. This book was released on 2001-04-29 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1942, with a black-market chicken tucked under his arm by his mother, Leo Marks left his father's famous bookshop, 84 Charing Cross Road, and went off to fight the war. He was twenty-two. Soon recognized as a cryptographer of genius, he became head of communications at the Special Operations Executive (SOE), where he revolutionized the codemaking techniques of the Allies and trained some of the most famous agents dropped into occupied Europe. As a top codemaker, Marks had a unique perspective on one of the most fascinating and, until now, little-known aspects of the Second World War. This stunning memoir, often funny, always gripping and acutely sensitive to the human cost of each operation, provides a unique inside picture of the extraordinary SOE organization at work and reveals for the first time many unknown truths about the conduct of the war. SOE was created in July 1940 with a mandate from Winston Churchill to "set Europe ablaze." Its main function was to infiltrate agents into enemy-occupied territory to perform acts of sabotage and form secret armies in preparation for D-Day. Marks's ingenious codemaking innovation was to devise and implement a system of random numeric codes printed on silk. Camouflaged as handkerchiefs, underwear, or coat linings, these codes could be destroyed message by message, and therefore could not possibly be remembered by the agents, even under torture. Between Silk and Cyanide chronicles Marks's obsessive quest to improve the security of agents' codes and how this crusade led to his involvement in some of the war's most dramatic and secret operations. Among the astonishing revelations is his account of the code war between SOE and the Germans in Holland. He also reveals for the first time how SOE fooled the Germans into thinking that a secret army was operating in the Fatherland itself, and how and why he broke the code that General de Gaulle insisted be available only to the Free French. By the end of this incredible tale, truly one of the last great World War II memoirs, it is clear why General Eisenhower credited the SOE, particularly its communications department, with shortening the war by three months. From the difficulties of safeguarding the messages that led to the destruction of the atomic weapons plant at Rjukan in Norway to the surveillance of Hitler's long-range missile base at Peenemünde to the true extent of Nazi infiltration of Allied agents, Between Silk and Cyanide sheds light on one of the least-known but most dramatic aspects of the war. Writing with the narrative flair and vivid characterization of his famous screenplays, Marks gives free rein to his keen sense of the absurd and wry wit without ever losing touch with the very human side of the story. His close relationship with "the White Rabbit" and Violette Szabo -- two of the greatest British agents of the war -- and his accounts of the many others he dealt with result in a thrilling and poignant memoir that celebrates individual courage and endeavor, without losing sight of the human cost and horror of war.
Download or read book Bake Infinite Pie with X Y written by Eugenia Cheng and published by . This book was released on 2022 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt: "X and Y are desperate to bake infinite pie! With the help of quirky and uber-smart Aunt Z, X and Y will use math concepts to bake their way to success!"--
Download or read book Tales of Physicists and Mathematicians written by Simon Gindikin and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: This revised and greatly expanded edition of the Russian classic contains a wealth of new information about the lives of many great mathematicians and scientists, past and present. Written by a distinguished mathematician and featuring a unique mix of mathematics, physics, and history, this text combines original source material and provides careful explanations for some of the most significant discoveries in mathematics and physics. What emerges are intriguing, multifaceted biographies that will interest readers at all levels.
Download or read book Fashionable Nonsense written by Alan Sokal and published by Picador. This book was released on 2014-01-14 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1996 physicist Alan Sokal published an essay in Social Text--an influential academic journal of cultural studies--touting the deep similarities between quantum gravitational theory and postmodern philosophy. Soon thereafter, the essay was revealed as a brilliant parody, a catalog of nonsense written in the cutting-edge but impenetrable lingo of postmodern theorists. The event sparked a furious debate in academic circles and made the headlines of newspapers in the U.S. and abroad. In Fashionable Nonsense: Postmodern Intellectuals' Abuse of Science, Sokal and his fellow physicist Jean Bricmont expand from where the hoax left off. In a delightfully witty and clear voice, the two thoughtfully and thoroughly dismantle the pseudo-scientific writings of some of the most fashionable French and American intellectuals. More generally, they challenge the widespread notion that scientific theories are mere "narrations" or social constructions.
Download or read book The Speculative Turn written by Levi Bryant and published by re.press. This book was released on 2011 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continental philosophy has entered a new period of ferment. The long deconstructionist era was followed with a period dominated by Deleuze, which has in turn evolved into a new situation still difficult to define. However, one common thread running through the new brand of continental positions is a renewed attention to materialist and realist options in philosophy. Among the current giants of this generation, this new focus takes numerous different and opposed forms. It might be hard to find many shared positions in the writings of Badiou, DeLanda, Laruelle, Latour, Stengers, and Zizek, but what is missing from their positions is an obsession with the critique of written texts. All of them elaborate a positive ontology, despite the incompatibility of their results. Meanwhile, the new generation of continental thinkers is pushing these trends still further, as seen in currents ranging from transcendental materialism to the London-based speculative realism movement to new revivals of Derrida. As indicated by the title The Speculative Turn, the new currents of continental philosophy depart from the text-centered hermeneutic models of the past and engage in daring speculations about the nature of reality itself. This anthology assembles authors, of several generations and numerous nationalities, who will be at the center of debate in continental philosophy for decades to come.
Download or read book The Wealth of Networks written by Yochai Benkler and published by Yale University Press. This book was released on 2006-01-01 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes how patterns of information, knowledge, and cultural production are changing. The author shows that the way information and knowledge are made available can either limit or enlarge the ways people create and express themselves. He describes the range of legal and policy choices that confront.
Download or read book The Purposeful Universe written by Carl Johan Calleman and published by Simon and Schuster. This book was released on 2009-10-13 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Identifying the Mayan World Tree with the central axis of the cosmos, the author shows how evolution is not random • Shows how the evolution of the universe emanates from the cosmic Tree of Life • Explains the origin and evolution of biological life and consciousness and how this is directed Using recent findings within cosmology, coupled with his broad understanding of the Mayan Calendar, biologist Carl Johan Calleman offers a revolutionary and fully developed alternative to Darwin’s theory of biological evolution--and the theory of randomness that holds sway over modern science. He shows how the recently discovered central axis of the universe correlates with the Tree of Life of the ancients. This provides an entirely new context for physics in general and especially for the origin and evolution of life and suggests that we look upon ourselves as parts of a hierarchy of systems that are all interrelated and evolve in a synchronized way. Calleman’s research demonstrates that life did not just accidentally “pop up” on our planet, but that Earth was a place specifically tagged for this. He demonstrates how the Mayan Calendar describes different quantum states of the Tree of Life and presents a new explanation for the origin and evolution of consciousness. Calleman uses his scientific background in biology and cosmology to show that the idea of the Purposeful Universe is real. He explains not only how DNA but also entire organisms have emerged in the image of the Tree of Life, a theory that has wide-ranging consequences not only for medicine but also for the origin of sacred geometry and the human soul. With this new theory of biological evolution the divide between science and religion disappears.
