W. R. Dedekind. The first presents Dedekind's theory of the irrational number-the Dedekind cut idea-perhaps the most famous of several such theories created in the 19th century to give a precise meaning to irrational numbers, which had been used on an intuitive basis since Greek times. This paper provided a purely arithmetic and perfectly rigorous foundation for the irrational numbers and thereby a rigorous meaning of continuity in analysis.The second essay is an attempt to give a logical basis for transfinite numbers and properties of the natural numbers. It examines the notion of natural numbers, the distinction between finite and transfinite (infinite) whole numbers, and the logical validity of the type of proof called mathematical or complete induction.The contents of these essays belong to the foundations of mathematics and will be welcomed by those who are prepared to look into the somewhat subtle meanings of the elements of our number system. As a major work of an important mathematician, the book deserves a place in the personal library of every practicing mathematician and every teacher and historian of mathematics. Authorized translations by "Vooster " V. Beman.

    It's extremely selfish to think we are the only existing intelligent life. Science and religion are on the verge of discovering the truth. Super ancient societies and their archaeological evidence uncovered to this day is a vault of stored information waiting to be unlocked. All we need to do is find the key. Help us uncover the truth by learning about Ancient Earth Mysteries.

    Viraf J. Dalal is an excellent book for every student of ICSE Chemisty.

    this is one of those rare books that will change your beliefs - and in doing so will change your life. tHE ANt AND tHE FERRARI offers readers a clear, navigable path through the big questions that confront us all today. What is the meaning of life? Can we be ethical beings in today's world? Can we know if there is life after death? Is there such a thing as Absolute truth? What caused the Big Bang and why should you care?

    Part I asks: Is evolving Nature all there is – self-generated, self-sustaining, self-contained? Are human beings, as the topmost outgrowth of Nature, responsible to none other but themselves? That is the stance of naturalist and atheist Richard Dawkins. Or is evolving reality derived from, and dependent on, a transcendent Source and Destiny, to whom humans are accountable and whose benevolence reaches out to humans as persons because humans are persons? That is the conviction of the Christian faith. Part II shows that Dawkins’ interpretation of religion is deficient even in evolutionary terms and lacks the objectivity and impartiality of genuine science.Backed with in-depth study and thorough research, Richard Dawkins’ God Delusion: A repentant refutation is a masterfully written work that attempts to provide answers to believers and non-believers by presenting scientific and religious reasoning.

    Having run out of options, former YouTube star Dax Flame must get a job at an ice cream shop in order to make ends meet.

    Contemplation of time and the discoveries of modern science lead to the assertion that the mind is paramount and limitless.

    In those twelve months, Einstein shattered many cherished scientific beliefs with five extraordinary papers that would establish him as the world's leading physicist. This book brings those papers together in an accessible format. The best-known papers are the two that founded special relativity: On the Electrodynamics of Moving Bodies and Does the Inertia of a Body Depend on Its Energy Content? In the former, Einstein showed that absolute time had to be replaced by a new absolute: the speed of light. In the second, he asserted the equivalence of mass and energy, which would lead to the famous formula E = mc2.The book also includes On a Heuristic Point of View Concerning the Production and Transformation of Light, in which Einstein challenged the wave theory of light, suggesting that light could also be regarded as a collection of particles. This helped to open the door to a whole new world--that of quantum physics. For ideas in this paper, he won the Nobel Prize in 1921.The fourth paper also led to a Nobel Prize, although for another scientist, Jean Perrin. On the Movement of Small Particles Suspended in Stationary Liquids Required by the Molecular-Kinetic Theory of Heat concerns the Brownian motion of such particles. With profound insight, Einstein blended ideas from kinetic theory and classical hydrodynamics to derive an equation for the mean free path of such particles as a function of the time, which Perrin confirmed experimentally. The fifth paper, A New Determination of Molecular Dimensions, was Einstein's doctoral dissertation, and remains among his most cited articles. It shows how to calculate Avogadro's number and the size of molecules.These papers, presented in a modern English translation, are essential reading for any physicist, mathematician, or astrophysicist. Far more than just a collection of scientific articles, this book presents work that is among the high points of human achievement and marks a watershed in the history of science. Coinciding with the 100th anniversary of the miraculous year, this new paperback edition includes an introduction by John Stachel, which focuses on the personal aspects of Einstein's youth that facilitated and led up to the miraculous year.

    D.E. Boyer takes us on a fascinating journey from the depths of despair to an amazing quantum world where anything is possible. First, we will learn how to defend ourselves against the chaos in our minds, then we will learn how to rekindle the magic in our hearts. Along the way, the wisdom of Socrates and the myth of Narcissus will transform the way we think and feel. Boyer then shows us how the military teaches their Navy Seal recruits how to handle their thoughts and feelings when someone is trying to kill them, so we can better handle our bosses, spouses, and children when it feels like they are trying to kill us. We will also get a glimpse of death through the eyes of someone who sees people die every day, giving us a much greater appreciation for life. With extremely amusing stories from her own life that touch on her dysfunctional upbringing and traumatizing career as an intensive care nurse, Boyer teaches us how to control our anxiety, boost our fragile self-esteem, and get into a state of flow so that we can spend most of our time loving life, rather than dreading it. She also gives us crucial health and nutrition tips so that we can live longer with our newfound peace and joy, and she shows us how to be more successful at life by being a better friend, spouse, and parent. With every step we take on this path, we'll find ourselves flirting with the hidden power of the mind, a power that often lies just beyond most people's reach. Only by mastering the basics of thinking and feeling can we gain access to this power. Once the door is unlocked, we will enter another dimension, a quantum world where time is irrelevant and the magic of our mind is waiting to be found.

    Here is an altogether new, refreshing, alternative history of math revealing how simple questions anyone might ask about space -- in the living room or in some other galaxy -- have been the hidden engine of the highest achievements in science and technology. Based on Mlodinow's extensive historical research; his studies alongside colleagues such as Richard Feynman and Kip Thorne; and interviews with leading physicists and mathematicians such as Murray Gell-Mann, Edward Witten, and Brian Greene, Euclid's Window is an extraordinary blend of rigorous, authoritative investigation and accessible, good-humored storytelling that makes a stunningly original argument asserting the primacy of geometry. For those who have looked through Euclid's Window, no space, no thing, and no time will ever be quite the same.

    When research suggests how to harness brain evolution, a hunt ensues for a missing link―one that allows to design humans with skills that prodigies of old would have envied.As germline engineering and biological enhancement have become routine, ancient doubts have emerged under new guises: Who are we? Is there a purpose to life? Why is there so much suffering? When faith and science fail to answer these questions, personal greed and national interest quickly fill the void. But gene selection is expensive, and many are excluded from its benefits. The stage is set for tribalism and social discontent on a scale without precedent, and those caught in the fray, whether by choice or by chance, must play roles not always to their liking in the struggle of all creatures against the arbitrariness of existence.

    But there is one other motive which is as strong as any of these — the search for beauty. Mathematics is an art, and as such affords the pleasures which all the arts afford." In this erudite, entertaining college-level text, Morris Kline, Professor Emeritus of Mathematics at New York University, provides the liberal arts student with a detailed treatment of mathematics in a cultural and historical context. The book can also act as a self-study vehicle for advanced high school students and laymen. Professor Kline begins with an overview, tracing the development of mathematics to the ancient Greeks, and following its evolution through the Middle Ages and the Renaissance to the present day. Subsequent chapters focus on specific subject areas, such as "Logic and Mathematics," "Number: The Fundamental Concept," "Parametric Equations and Curvilinear Motion," "The Differential Calculus," and "The Theory of Probability." Each of these sections offers a step-by-step explanation of concepts and then tests the student's understanding with exercises and problems. At the same time, these concepts are linked to pure and applied science, engineering, philosophy, the social sciences or even the arts.In one section, Professor Kline discusses non-Euclidean geometry, ranking it with evolution as one of the "two concepts which have most profoundly revolutionized our intellectual development since the nineteenth century." His lucid treatment of this difficult subject starts in the 1800s with the pioneering work of Gauss, Lobachevsky, Bolyai and Riemann, and moves forward to the theory of relativity, explaining the mathematical, scientific and philosophical aspects of this pivotal breakthrough. Mathematics for the Nonmathematician exemplifies Morris Kline's rare ability to simplify complex subjects for the nonspecialist.

    I am only passionately curious.I have reached an age when, if someone tells me to wear socks, I don't have to.--Albert EinsteinAlbert Einstein was a prolific--and often thoughtful and gifted--writer, and he is immensely quotable. This collection of approximately 550 quotations by and about Einstein for the first time arranges his thoughts and ideas thematically. Here we can easily find Einstein's thoughts on everything from America and Americans, Germans and Germany, Jews and Zionism, war and peace, politics, religion and science, to more personal subjects, such as abortion, youth and aging, love and marriage, music, and pets. There is something to please everyone--and something to offend everyone. Also included are sections on what Einstein has said about other famous people, what others have said about him, a chronology including biographical data, an updated family tree that includes great-great-grandchildren, answers to the most common questions about Einstein, and a selected bibliography. The book includes an engaging foreword by Princeton physicist Freeman Dyson.To help the reader or researcher, two indexes are provided. The Index of Key Words will help readers find familiar quotations, and the Subject Index will lead them to subjects of particular interest. The book provides documentation, generally of primary sources such as the Einstein Archive and The Collected Papers of Albert Einstein.This book introduces readers to Einstein's many sides: by turns irascible and benign, warmly humorous and coldly dismissive, one who was at first bemused by the fame the world bestowed on him but who came to abhor the glare of publicity. We also see Einstein's development from the earliest quotations of a seventeen-year-old boy to his final words at age seventy-six.-- "The Bloomsbury Review"

    This is a book about how many of the 'big' philosophical and religious questions that have puzzled mankind for centuries can be answered by recent breakthroughs in science.

    Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Chapters: The Man Who Mistook His Wife for a Hat, An Anthropologist on Mars, Musicophilia: Tales of Music and the Brain, Seeing Voices, Migraine, Uncle Tungsten: Memories of a Chemical Boyhood, Awakenings, The Island of the Colorblind, . Source: Wikipedia. Free updates online. Not illustrated. Excerpt: The Man Who Mistook His Wife for a Hat and Other Clinical Tales is a 1985 book by neurologist Oliver Sacks describing the case histories of some of his patients. The title of the book comes from the case study of a man with visual agnosia. The Man Who Mistook His Wife for a Hat became the basis of an opera of the same name by Michael Nyman, which premiered in 1986. The book comprises 24 essays split into 4 sections which each deal with a particular aspect of brain function such as deficits and excesses in the first two sections (with particular emphasis on the right hemisphere of the brain) while the third and fourth describe phenomenological manifestations with reference to spontaneous reminiscences, altered perceptions, and extraordinary qualities of mind found in "retardates." The individual essays in this book include, but are not limited to: Christopher Rawlence wrote the libretto for a chamber opera, directed by Michael Morris with music by Michael Nyman, based on the title story. "The Man Who Mistook His Wife for a Hat" was first produced by the Institute of Contemporary Arts in London in 1986. A television version of the opera was subsequently broadcast in the UK. Peter Brook adapted Sacks's book into an acclaimed theatrical production, "L'Homme Qui...," which premiered at the Theatre des Bouffes du Nord, Paris, in 1993. An Indian theatre company, performed a play The Blue Mug, based on the book, starring Rajat Kapoor, Konkona Sen Sharma, Ranvir Shorey a...More: http: //booksllc.net/?id=3371