C. Escher and composer Johann Sebastian Bach, discussing common themes in their work and lives. At a deeper level, the book is a detailed and subtle exposition of concepts fundamental to mathematics, symmetry, and intelligence. Through illustration and analysis, the book discusses how self-reference and formal rules allow systems to acquire meaning despite being made of "meaningless" elements. It also discusses what it means to communicate, how knowledge can be represented and stored, the methods and limitations of symbolic representation, and even the fundamental notion of "meaning" itself. In response to confusion over the book's theme, Hofstadter has emphasized that GEB is not about mathematics, art, and music but rather about how cognition and thinking emerge from well-hidden neurological mechanisms.

    This updated edition of Ross's classic bestseller provides an introduction to elementary probability theory and stochastic processes, and shows how probability theory can be applied to the study of phenomena in fields such as engineering, computer science, management science, the physical and social sciences, and operations research. With the addition of several new sections relating to actuaries, this text is highly recommended by the Society of Actuaries.This book now contains a new section on compound random variables that can be used to establish a recursive formula for computing probability mass functions for a variety of common compounding distributions; a new section on hiddden Markov chains, including the forward and backward approaches for computing the joint probability mass function of the signals, as well as the Viterbi algorithm for determining the most likely sequence of states; and a simplified approach for analyzing nonhomogeneous Poisson processes. There are also additional results on queues relating to the conditional distribution of the number found by an M/M/1 arrival who spends a time t in the system; inspection paradox for M/M/1 queues; and M/G/1 queue with server breakdown. Furthermore, the book includes new examples and exercises, along with compulsory material for new Exam 3 of the Society of Actuaries.This book is essential reading for professionals and students in actuarial science, engineering, operations research, and other fields in applied probability.

    Harry Gensler engages students with the basics of logic through practical examples and important arguments both in the history of philosophy and from contemporary philosophy. Using simple and manageable methods for testing arguments, students are led step-by-step to master the complexities of logic.The companion LogiCola instructional program and various teaching aids (including a teacher's manual) are available from the book's website: www.routledge.com/textbooks/gensler_l...

    His Common Sense (1776) was the most widely read pamphlet of the American Revolution and his Rights of Man (1791-2), the most famous defense of the French Revolution, sent out a clarion call for revolution throughout the world. Paine paid the price for his principles: he was outlawed in Britain, narrowly escaped execution in France, and was vilified as an atheist and a Jacobin on his return to America.This new edition contains the complete texts of both Rights of Man and Common Sense, as well as six other powerfully political writings - American Crisis I, American Crisis XIII, Agrarian Justice, Letter to Jefferson, Letter Addressed to the Addressers on the Late Proclamation and Dissertation on the First Principles of Government - all of which illustrate why Paine's ideas still resonate in the modern welfare states of today.

    Originally published in 1637, it has been characterized as "the greatest single step ever made in the progress of the exact sciences" (John Stuart Mill); as a book which "remade geometry and made modern geometry possible" (Eric Temple Bell). It "revolutionized the entire conception of the object of mathematical science" (J. Hadamard).With this volume Descartes founded modern analytical geometry. Reducing geometry to algebra and analysis and, conversely, showing that analysis may be translated into geometry, it opened the way for modern mathematics. Descartes was the first to classify curves systematically and to demonstrate algebraic solution of geometric curves. His geometric interpretation of negative quantities led to later concepts of continuity and the theory of function. The third book contains important contributions to the theory of equations.This edition contains the entire definitive Smith-Latham translation of Descartes' three books: Problems the Construction of which Requires Only Straight Lines and Circles; On the Nature of Curved Lines; and On the Construction of Solid and Supersolid Problems. Interleaved page by page with the translation is a complete facsimile of the 1637 French text, together with all Descartes' original illustrations; 248 footnotes explain the text and add further bibliography.

    It remains the one of the most widely read books about science to come out of the twentieth century.(Note: the book was first published in 1934, in German, with the title Logik der Forschung. It was "reformulated" into English in 1959. See Wikipedia for details.)

    They speak of it in awed terms and consider it to be an even more difficult problem than Fermat's last theorem, which was finally proven by Andrew Wiles in 1995.In The Riemann Hypothesis, acclaimed author Karl Sabbagh interviews some of the world's finest mathematicians who have spent their lives working on the problem--and whose approaches to meeting the challenges thrown up by the hypothesis are as diverse as their personalities.Wryly humorous, lively, accessible and comprehensive, The Riemann Hypothesis is a compelling exploration of the people who do math and the ideas that motivate them to the brink of obsession--and a profound meditation on the ultimate meaning of mathematics.

    A child prodigy, Pascal made essential additions to Descartes's work at age sixteen. By age nineteen, he had invented the world's first mechanical calculator. But despite his immense contributions to modern science and mathematical thinking, it is Pascal's wager with God that set him apart from his peers as a man fully engaged with both religious and scientific pursuits.One night in 1654, Pascal had a visit from God, a mystical experience that changed his life. Struggling to explain God's existence to others, Pascal dared to apply his mathematical work to religious faith, playing dice with divinity: he argued for the existence of God, basing his position not on rigorous logical principles as did Aquinas or Anselm of Canterbury, but on outcomes—his famous wager. By applying to the existence of God the same rules that governed the existence and position of the universe itself, Pascal sounded the death knell for medieval "certainties" and paved the way for modern thinking.

    It also proves troublesome for parents, as many are reminded of their own struggles with the subject and feel lost when trying to tackle it again years later in an effort to aid their offspring. Help Your Kids with Math is designed to reduce the stress of studying math for both children and adults. Using an appealing and uniquely accessible illustrative style, this book will show you what others only tell you, covering everything from basic arithmetic to more challenging subjects such as statistics, geometry, and algebra. Every aspect of math is explained in easily understandable language so that adults and kids can deal with the subject together. Tricky concepts are explored and examined step-by-step, so that even the most math-phobic individual will be able to approach complex problems with confidence.The first in an original new series of study aids that aims to demystify those subjects that seem tricky and incomprehensible, Math Survival provides invaluable guidance and easy explanations for all those desperate kids and parents who need to understand math and put it into practice.

    Being Mortal by Atul Gawande - A 20-minute Summary Inside this Instaread Summary: • Overview of the entire book• Introduction to the important people in the book• Summary and analysis of all the chapters in the book• Key Takeaways of the book• A Reader's Perspective Preview of this summary: Chapter 1 Gawande grew up in Ohio. His parents were immigrants from India and both were doctors. His grandparents stayed in India, and there were few older people in his neighborhood, so he had little experience with aging or death until he met his wife’s grandmother, Alice Hobson. Hobson was seventy-seven and living on her own in Virginia. She was a spirited widow who fixed her own plumbing and volunteered with Meals On Wheels. However, Hobson was losing strength and height steadily each year as her arthritis worsened.Gawande’s father enthusiastically adopted the customs of his new country, but he could not understand the way in which seniors were treated in the US. In India, the elderly were treated with great respect and lived out their lives with family.In the United States, Sitaram Gawande, Gawande’s grandfather, likely would have been sent to a nursing home like most of the elderly who cannot handle the basics of daily living by themselves. However, in India, Sitaram Gawande was able to live in his own home and manage his own affairs, with family constantly around him. He died at the age of one hundred and ten when he fell off a bus during a business trip.Until recently, most elderly people stayed with their families. Even as the nuclear family unit became predominant, replacing the multi-generational family unit, people cared for their elderly relatives. Families were large and one child, usually a daughter, would not marry in order to take care of the parents.This has changed in much of the world, where elderly people end up struggling to live alone, like Hobson, rather than living with dignity amid family, like Sitaram Gawande.One cause of this change can be found in the nature of knowledge. When few people lived to be very old, elders were honored. Their store of knowledge was greatly useful. People often portrayed themselves as older to command respect. Modern society’s emphasis on youth is a complete reversal of this attitude. Technological advances are perceived as the territory of the young, and everyone wants to be younger. High-tech job opportunities are all over the world, and young people do not hesitate to leave their parents behind to pursue them.In developed countries, parents embrace the concept of a retirement filled with leisure activities. Parents are happy to begin living for themselves once children are grown. However, this system only works for young, healthy retirees, but not for those who cannot continue to be independent. Hobson, for example, was falling frequently and suffering memory lapses. Her doctor did tests and wrote prescriptions, but did not know what to do about her deteriorating condition. Neither did her family… About the Author With Instaread Summaries, you can get the summary of a book in 30 minutes or less. We read every chapter, summarize and analyze it for your convenience.

    This is such a book. Max Born is a Nobel Laureate (1955) and one of the world's great physicists: in this book he analyzes and interprets the theory of Einsteinian relativity. The result is undoubtedly the most lucid and insightful of all the books that have been written to explain the revolutionary theory that marked the end of the classical and the beginning of the modern era of physics.The author follows a quasi-historical method of presentation. The book begins with a review of the classical physics, covering such topics as origins of space and time measurements, geometric axioms, Ptolemaic and Copernican astronomy, concepts of equilibrium and force, laws of motion, inertia, mass, momentum and energy, Newtonian world system (absolute space and absolute time, gravitation, celestial mechanics, centrifugal forces, and absolute space), laws of optics (the corpuscular and undulatory theories, speed of light, wave theory, Doppler effect, convection of light by matter), electrodynamics (including magnetic induction, electromagnetic theory of light, electromagnetic ether, electromagnetic laws of moving bodies, electromagnetic mass, and the contraction hypothesis). Born then takes up his exposition of Einstein's special and general theories of relativity, discussing the concept of simultaneity, kinematics, Einstein's mechanics and dynamics, relativity of arbitrary motions, the principle of equivalence, the geometry of curved surfaces, and the space-time continuum, among other topics. Born then points out some predictions of the theory of relativity and its implications for cosmology, and indicates what is being sought in the unified field theory.This account steers a middle course between vague popularizations and complex scientific presentations. This is a careful discussion of principles stated in thoroughly acceptable scientific form, yet in a manner that makes it possible for the reader who has no scientific training to understand it. Only high school algebra has been used in explaining the nature of classical physics and relativity, and simple experiments and diagrams are used to illustrate each step. The layman and the beginning student in physics will find this an immensely valuable and usable introduction to relativity. This Dover 1962 edition was greatly revised and enlarged by Dr. Born.

    It moves beyond a mere study of algorithms without sacrificing the rigor that faculty desire. As in every edition, Winston reinforces the book's successful features and coverage with the most recent developments in the field. The Student Suite CD-ROM, which now accompanies every new copy of the text, contains the latest versions of commercial software for optimization, simulation, and decision analysis.

    With an accessible and lively writing style, it introduces modern techniques to what can often be a formal and intimidating subject. Readers are led from the physics of flat spacetime (special relativity), through the intricacies of differential geometry and Einstein's equations, and on to exciting applications such as black holes, gravitational radiation, and cosmology.

    It is a collection of 150 brain teasing math riddles and puzzles. Their purpose is to make children think and stretch the mind. They are designed to test logic, lateral thinking as well as memory and to engage the brain in seeing patterns and connections between different things and circumstances. They are laid out in three chapters which get more difficult as you go through the book, in the author’s opinion at least. The answers are at the back of the book if all else fails. These are more difficult riddles and are designed to be attempted by children from 10 years onwards, as well as participation from the rest of the family. Tags: Riddles and brain teasers, riddles and trick questions, riddles book, riddles book for kids, riddles for kids, riddles for kids aged 9-12, riddles and puzzles, jokes and riddles, jokes book, jokes book for kids, jokes children, jokes for kids, jokes kids, puzzle book

    In 1935, aged 22, he developed the mathematical theory upon which all subsequent stored-program digital computers are modeled.At the outbreak of hostilities with Germany in September 1939, he joined the Government Codebreaking team at Bletchley Park, Buckinghamshire and played a crucial role in deciphering Engima, the code used by the German armed forces to protect their radio communications. Turing's work on the versionof Enigma used by the German navy was vital to the battle for supremacy in the North Atlantic. He also contributed to the attack on the cyphers known as Fish, which were used by the German High Command for the encryption of signals during the latter part of the war. His contribution helped toshorten the war in Europe by an estimated two years.After the war, his theoretical work led to the development of Britain's first computers at the National Physical Laboratory and the Royal Society Computing Machine Laboratory at Manchester University.Turing was also a founding father of modern cognitive science, theorizing that the cortex at birth is an unorganized machine which through training becomes organized into a universal machine or something like it. He went on to develop the use of computers to model biological growth, launchingthe discipline now referred to as Artificial Life.The papers in this book are the key works for understanding Turing's phenomenal contribution across all these fields. The collection includes Turing's declassified wartime Treatise on the Enigma; letters from Turing to Churchill and to codebreakers; lectures, papers, and broadcasts which opened upthe concept of AI and its implications; and the paper which formed the genesis of the investigation of Artifical Life.