Explaining how such basic concepts as number and magnitude, space and force were developed, the great French mathematician refutes the skeptical position that modern scientific method and its results are wholly factitious. The places of rigorous logic and intuitive leaps are both established by an analysis of contrasting methods of idea-creation in individuals and in modern scientific traditions. The nature of hypothesis and the role of probability are investigated with all of Poincaré's usual fertility of insight.Partial contents: On the nature of mathematical reasoning. Magnitude and experiment. Space: non-Euclidean geometrics, space and geometry, experiment and geometry. Force: classical mechanics, relative and absolute motion, energy and thermodynamics. Nature: hypotheses in physics, the theories of modern physics, the calculus of probabilities, optics and electricity, electro-dynamics."Poincaré's was the last man to take practically all mathematics, both pure and applied as his province. Few mathematicians have had the breadth of philosophic vision that Poincaré's had, and none is his superior in the gift of clear exposition." — Men of Mathematics, Eric Temple Bell, Professor of Mathematics, University of Cambridge

    

    Imagine that you face three doors, behind one of which is a prize. You choose one but do not open it. The host--call him Monty Hall--opens a different door, alwayschoosing one he knows to be empty. Left with two doors, will you do better by sticking with your first choice, or by switching to the other remaining door? In this light-hearted yet ultimately serious book, Jason Rosenhouse explores the history of this fascinating puzzle. Using a minimum ofmathematics (and none at all for much of the book), he shows how the problem has fascinated philosophers, psychologists, and many others, and examines the many variations that have appeared over the years. As Rosenhouse demonstrates, the Monty Hall Problem illuminates fundamental mathematical issuesand has abiding philosophical implications. Perhaps most important, he writes, the problem opens a window on our cognitive difficulties in reasoning about uncertainty.

    Cosmic Universe and Human History, microcosm and macrocosm, inorganic and living matter coexist and form a unique unity manifested in multiple forms. The Physical and the Mental constitute the form and the content of the World. The world does not consist of subjects and objects, the “subject” and the “object” are metaphysical abstractions of the single and indivisible Wholeness. Man’s finite knowledge separates the Whole into parts and studies fragmentarily the beings. The Wholeness is manifested in multiple forms and each form encapsulates the Wholeness. The rational explanation of the excerpts and the intuitive apprehension of the Wholeness are required to combine and create the open thought and the holistic knowledge. This means that the measurement should be defined by the ''measure'', but the responsibility for determining the ''measure'' depends on the man. This requires that man overcomes the anthropocentric arrogance and the narcissistic selfishness and he joins the Cosmic World in a friendly and creative manner.

    Today, these paradoxes remain on the cutting edge of our investigations into the fabric of space and time. Zeno's Paradox uses the motion paradox as a jumping-off point for an exploration of the twenty-five-hundred-year quest to uncover the true nature of the universe. From Galileo to Einstein to Stephen Hawking, some of the greatest minds in history have tackled the problem and made spectacular breakthroughs, but through it all, the paradox of motion remains.

    Mathematics, Applied & Natural Sciences

    Now William Dunham gives them the attention they deserve.Dunham places each theorem within its historical context and explores the very human and often turbulent life of the creator — from Archimedes, the absentminded theoretician whose absorption in his work often precluded eating or bathing, to Gerolamo Cardano, the sixteenth-century mathematician whose accomplishments flourished despite a bizarre array of misadventures, to the paranoid genius of modern times, Georg Cantor. He also provides step-by-step proofs for the theorems, each easily accessible to readers with no more than a knowledge of high school mathematics.A rare combination of the historical, biographical, and mathematical, Journey Through Genius is a fascinating introduction to a neglected field of human creativity.

    Beginning millions of years ago with ancient “ant odometers” and moving through time to our modern-day quest for new dimensions, it covers 250 milestones in mathematical history. Among the numerous delights readers will learn about as they dip into this inviting anthology: cicada-generated prime numbers, magic squares from centuries ago, the discovery of pi and calculus, and the butterfly effect. Each topic gets a lavishly illustrated spread with stunning color art, along with formulas and concepts, fascinating facts about scientists’ lives, and real-world applications of the theorems.

    But, Alex Bellos says, "math can be inspiring and brilliantly creative. Mathematical thought is one of the great achievements of the human race, and arguably the foundation of all human progress. The world of mathematics is a remarkable place."Bellos has traveled all around the globe and has plunged into history to uncover fascinating stories of mathematical achievement, from the breakthroughs of Euclid, the greatest mathematician of all time, to the creations of the Zen master of origami, one of the hottest areas of mathematical work today. Taking us into the wilds of the Amazon, he tells the story of a tribe there who can count only to five and reports on the latest findings about the math instinct--including the revelation that ants can actually count how many steps they've taken. Journeying to the Bay of Bengal, he interviews a Hindu sage about the brilliant mathematical insights of the Buddha, while in Japan he visits the godfather of Sudoku and introduces the brainteasing delights of mathematical games.Exploring the mysteries of randomness, he explains why it is impossible for our iPods to truly randomly select songs. In probing the many intrigues of that most beloved of numbers, pi, he visits with two brothers so obsessed with the elusive number that they built a supercomputer in their Manhattan apartment to study it. Throughout, the journey is enhanced with a wealth of intriguing illustrations, such as of the clever puzzles known as tangrams and the crochet creation of an American math professor who suddenly realized one day that she could knit a representation of higher dimensional space that no one had been able to visualize. Whether writing about how algebra solved Swedish traffic problems, visiting the Mental Calculation World Cup to disclose the secrets of lightning calculation, or exploring the links between pineapples and beautiful teeth, Bellos is a wonderfully engaging guide who never fails to delight even as he edifies. "Here's Looking at Euclid "is a rare gem that brings the beauty of math to life.

    In this collection, you will find images and poems that relate to life, love, loss, gain, realisation and the final thing called Moksha. The poems may sound philosophical, intellectual and emotional from time to time. You will also find a surprise at the end of this wonderful poetry collection if you read everything carefully. And, like the previous poetry collection by Alok Mishra, this book will also not take more than 15 minutes from your daily routine. However, you may want to read the book at least twice or maybe thrice to understand what do the poems mean. Alok has devised a style of his own to communicate his thoughts to the readers of Indian English poetry. A 4-3-6 style has perfectly settled with this collection having 14 wonderful poems. Here are some reviews for Moving for Moksha:The collection of poems takes us on a journey to ponder the truth and fallacies of life that come our way. The poems are mostly mystic in nature, having more than what it seems to be... you will certainly love it if you have a taste for English poetry.by: Amit Mishra (founder of The Indian Authors & Indian Book Lovers)...beauty, truth, eternity.... a very close observation of life, these poems sneak into nothing but the philosophy of life that people confront during life-span.by: Ravi Kumar, Research Scholar with expertise in Indian English Literature, a writer for many online literary platformsThe poems reflect disillusion, rejection, realisation and answer to the final call – Moksha, as called in Indian philosophy. The innovative form with a 4-3-6 pattern looks very apt for the emotional and intellectual and also cryptic nature of the poems in this collection.The Last Critic

    Get ready to amaze your friends—and yourself—with incredible calculations you never thought you could master, as renowned “mathemagician” Arthur Benjamin shares his techniques for lightning-quick calculations and amazing number tricks. This book will teach you to do math in your head faster than you ever thought possible, dramatically improve your memory for numbers, and—maybe for the first time—make mathematics fun.Yes, even you can learn to do seemingly complex equations in your head; all you need to learn are a few tricks. You’ll be able to quickly multiply and divide triple digits, compute with fractions, and determine squares, cubes, and roots without blinking an eye. No matter what your age or current math ability, Secrets of Mental Math will allow you to perform fantastic feats of the mind effortlessly. This is the math they never taught you in school.Also available as an eBook

    In this heartfelt and passionate book, Frenkel shows that mathematics, far from occupying a specialist niche, goes to the heart of all matter, uniting us across cultures, time, and space.Love and Math tells two intertwined stories: of the wonders of mathematics and of one young man’s journey learning and living it. Having braved a discriminatory educational system to become one of the twenty-first century’s leading mathematicians, Frenkel now works on one of the biggest ideas to come out of math in the last 50 years: the Langlands Program. Considered by many to be a Grand Unified Theory of mathematics, the Langlands Program enables researchers to translate findings from one field to another so that they can solve problems, such as Fermat’s last theorem, that had seemed intractable before.At its core, Love and Math is a story about accessing a new way of thinking, which can enrich our lives and empower us to better understand the world and our place in it. It is an invitation to discover the magic hidden universe of mathematics.

    These themes include mathematical reasoning, combinatorial analysis, discrete structures, algorithmic thinking, and enhanced problem-solving skills through modeling. Its intent is to demonstrate the relevance and practicality of discrete mathematics to all students. The Fifth Edition includes a more thorough and linear presentation of logic, proof types and proof writing, and mathematical reasoning. This enhanced coverage will provide students with a solid understanding of the material as it relates to their immediate field of study and other relevant subjects. The inclusion of applications and examples to key topics has been significantly addressed to add clarity to every subject. True to the Fourth Edition, the text-specific web site supplements the subject matter in meaningful ways, offering additional material for students and instructors. Discrete math is an active subject with new discoveries made every year. The continual growth and updates to the web site reflect the active nature of the topics being discussed. The book is appropriate for a one- or two-term introductory discrete mathematics course to be taken by students in a wide variety of majors, including computer science, mathematics, and engineering. College Algebra is the only explicit prerequisite.

    The stories reveal their characters and histories, but the scrabble itself is a mere transient remission from the vagaries and harshness of prison life, which continues unabated around them and through them.We are party to a voyage through calm settled waters of support, camaraderie and story-telling, to storms of violence, abuse and abject despair in a rigid, alien and unforgiving environment. We feel the emotions of the highs and lows of prison life through the victimisation, determination and hope of our players, who ultimately all show resilience in one way or another.It is a fable about humanity, garnered with wit, insight and encouragement, with a little whodunnit? thrown in for good measure.

    This book - Buddhism for beginners, tackles the most basic question on Buddhism: What is the essence of Buddhism? It explains the life of Buddha in detail and also highlights the methodology that you can deploy in order to become 'Buddha' in real life. You can treat this simple book as your manual for a mindful, aware, peaceful and satisfied life. The detailed chapter on meditation not only guides you through the manner in which you can meditate, it also answers some of the most important questions related to meditation. The five percepts of Buddhism are explained with examples in simple English that everybody can understand. There is also a detailed chapter on mindfulness and living the Buddhist lifestyle in real life. Remember, Buddhism is a way of life - it is the philosophy of life and this book is not intended to modify your existing religious beliefs in any manner. It simply supplements those beliefs so that you can develop mindfulness in all your actions in order to live a blissful life! A Preview to Buddhism for Beginners - What Is Buddhism? - Who Was The Buddha? - Buddhist Traditions - The Theravada School Of Thought - The Mahayana School Of Thought - The Vajrayana School Of Thought - The Three Treasures Or Jewels Of Buddhism - The Three Poisons Or Roots Of Evil In Buddhism - The Five Percepts Of Buddhism - The Ten Grand Percepts - The Foundation Of Buddhism - The Four Noble Truths - Living The Buddhist Philosophy: The Eightfold Path - A Day In The Life Of A Buddhist - Living In The Present - Mindfulness And Meditation - Having Faith - Meditating On Koans - Karma And Reincarnation Start Getting the Benefits of Buddhism for Beginners!! Grab this book today! You can read on your Kindle, PC, MAC, Smart Phone, or Tablet! For less than a cup of coffee you can buy a book that could change your life for the better..... Simply scroll up and click the BUY button to instantly download Buddhism for Beginners: Everything You Need to Know about Buddhism for Complete Beginners Tags: Buddhism, Buddhism for Beginners, Buddhism guide, Buddhism ultimate guide, learn Buddhism, modern Buddhism, Buddha, philosophy, essence of Buddhism, Buddhism for dummies, practice Buddhism, Buddhism plain and simple