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Understanding The Infinite
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Book Synopsis Understanding the Infinite by : Shaughan Lavine
Download or read book Understanding the Infinite written by Shaughan Lavine and published by Harvard University Press. This book was released on 1998-01-13 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: How can the infinite, a subject so remote from our finite experience, be an everyday tool for the working mathematician? Blending history, philosophy, mathematics, and logic, Shaughan Lavine answers this question with exceptional clarity. Making use of the mathematical work of Jan Mycielski, he demonstrates that knowledge of the infinite is possible, even according to strict standards that require some intuitive basis for knowledge.
Book Synopsis Understanding the Infinite by : Shaughan Lavine
Download or read book Understanding the Infinite written by Shaughan Lavine and published by Harvard University Press. This book was released on 2009-06-30 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible history and philosophical commentary on our notion of infinity. How can the infinite, a subject so remote from our finite experience, be an everyday tool for the working mathematician? Blending history, philosophy, mathematics, and logic, Shaughan Lavine answers this question with exceptional clarity. Making use of the mathematical work of Jan Mycielski, he demonstrates that knowledge of the infinite is possible, even according to strict standards that require some intuitive basis for knowledge. Praise for Understanding the Infinite “Understanding the Infinite is a remarkable blend of mathematics, modern history, philosophy, and logic, laced with refreshing doses of common sense. It is a potted history of, and a philosophical commentary on, the modern notion of infinity as formalized in axiomatic set theory . . . An amazingly readable [book] given the difficult subject matter. Most of all, it is an eminently sensible book. Anyone who wants to explore the deep issues surrounding the concept of infinity . . . will get a great deal of pleasure from it.” —Ian Stewart, New Scientist “How, in a finite world, does one obtain any knowledge about the infinite? Lavine argues that intuitions about the infinite derive from facts about the finite mathematics of indefinitely large size . . . The issues are delicate, but the writing is crisp and exciting, the arguments original. This book should interest readers whether philosophically, historically, or mathematically inclined, and large parts are within the grasp of the general reader. Highly recommended.” —D. V. Feldman, Choice
Book Synopsis Understanding Infinity by : Anthony Gardiner
Download or read book Understanding Infinity written by Anthony Gardiner and published by Courier Corporation. This book was released on 2002-01-01 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Conceived by the author as an introduction to "why the calculus works," this volume offers a 4-part treatment: an overview; a detailed examination of the infinite processes arising in the realm of numbers; an exploration of the extent to which familiar geometric notions depend on infinite processes; and the evolution of the concept of functions. 1982 edition.
Book Synopsis Introduction to Analysis of the Infinite by : Leonhard Euler
Download or read book Introduction to Analysis of the Infinite written by Leonhard Euler and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the preface of the author: "...I have divided this work into two books; in the first of these I have confined myself to those matters concerning pure analysis. In the second book I have explained those thing which must be known from geometry, since analysis is ordinarily developed in such a way that its application to geometry is shown. In the first book, since all of analysis is concerned with variable quantities and functions of such variables, I have given full treatment to functions. I have also treated the transformation of functions and functions as the sum of infinite series. In addition I have developed functions in infinite series..."
Book Synopsis An Introduction to Infinite Products by : Charles H. C. Little
Download or read book An Introduction to Infinite Products written by Charles H. C. Little and published by Springer Nature. This book was released on 2022-01-10 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text provides a detailed presentation of the main results for infinite products, as well as several applications. The target readership is a student familiar with the basics of real analysis of a single variable and a first course in complex analysis up to and including the calculus of residues. The book provides a detailed treatment of the main theoretical results and applications with a goal of providing the reader with a short introduction and motivation for present and future study. While the coverage does not include an exhaustive compilation of results, the reader will be armed with an understanding of infinite products within the course of more advanced studies, and, inspired by the sheer beauty of the mathematics. The book will serve as a reference for students of mathematics, physics and engineering, at the level of senior undergraduate or beginning graduate level, who want to know more about infinite products. It will also be of interest to instructors who teach courses that involve infinite products as well as mathematicians who wish to dive deeper into the subject. One could certainly design a special-topics class based on this book for undergraduates. The exercises give the reader a good opportunity to test their understanding of each section.
Book Synopsis Infinite Powers by : Steven Strogatz
Download or read book Infinite Powers written by Steven Strogatz and published by Mariner Books. This book was released on 2019 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the captivating story of mathematics' greatest ever idea: calculus. Without it, there would be no computers, no microwave ovens, no GPS, and no space travel. But before it gave modern man almost infinite powers, calculus was behind centuries of controversy, competition, and even death. Taking us on a thrilling journey through three millennia, professor Steven Strogatz charts the development of this seminal achievement from the days of Aristotle to today's million-dollar reward that awaits whoever cracks Reimann's hypothesis. Filled with idiosyncratic characters from Pythagoras to Euler, Infinite Powers is a compelling human drama that reveals the legacy of calculus on nearly every aspect of modern civilization, including science, politics, ethics, philosophy, and much besides.
Download or read book The Infinite Game written by Simon Sinek and published by Penguin. This book was released on 2019-10-15 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the New York Times bestselling author of Start With Why and Leaders Eat Last, a bold framework for leadership in today’s ever-changing world. How do we win a game that has no end? Finite games, like football or chess, have known players, fixed rules and a clear endpoint. The winners and losers are easily identified. Infinite games, games with no finish line, like business or politics, or life itself, have players who come and go. The rules of an infinite game are changeable while infinite games have no defined endpoint. There are no winners or losers—only ahead and behind. The question is, how do we play to succeed in the game we’re in? In this revelatory new book, Simon Sinek offers a framework for leading with an infinite mindset. On one hand, none of us can resist the fleeting thrills of a promotion earned or a tournament won, yet these rewards fade quickly. In pursuit of a Just Cause, we will commit to a vision of a future world so appealing that we will build it week after week, month after month, year after year. Although we do not know the exact form this world will take, working toward it gives our work and our life meaning. Leaders who embrace an infinite mindset build stronger, more innovative, more inspiring organizations. Ultimately, they are the ones who lead us into the future.
Book Synopsis The Beginning of Infinity by : David Deutsch
Download or read book The Beginning of Infinity written by David Deutsch and published by Penguin UK. This book was released on 2011-03-31 with total page 571 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Science has never had an advocate quite like David Deutsch ... A computational physicist on a par with his touchstones Alan Turing and Richard Feynman, and a philosopher in the line of his greatest hero, Karl Popper. His arguments are so clear that to read him is to experience the thrill of the highest level of discourse available on this planet and to understand it' Peter Forbes, Independent In our search for truth, how far have we advanced? This uniquely human quest for good explanations has driven amazing improvements in everything from scientific understanding and technology to politics, moral values and human welfare. But will progress end, either in catastrophe or completion - or will it continue infinitely? In this profound and seminal book, David Deutsch explores the furthest reaches of our current understanding, taking in the Infinity Hotel, supernovae and the nature of optimism, to instill in all of us a wonder at what we have achieved - and the fact that this is only the beginning of humanity's infinite possibility. 'This is Deutsch at his most ambitious, seeking to understand the implications of our scientific explanations of the world ... I enthusiastically recommend this rich, wide-ranging and elegantly written exposition of the unique insights of one of our most original intellectuals' Michael Berry, Times Higher Education Supplement 'Bold ... profound ... provocative and persuasive' Economist 'David Deutsch may well go down in history as one of the great scientists of our age' Scotsman
Book Synopsis The Art of the Infinite by : Robert Kaplan
Download or read book The Art of the Infinite written by Robert Kaplan and published by Bloomsbury Publishing USA. This book was released on 2014-02-04 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Traces the development of mathematical thinking and describes the characteristics of the "republic of numbers" in terms of humankind's fascination with, and growing knowledge of, infinity.
Book Synopsis The Infinite Atonement by : Tad R. Callister
Download or read book The Infinite Atonement written by Tad R. Callister and published by . This book was released on 2013-03-04 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author thoughtfully proves the infinite scope of the "great and last sacrifice," describing its power and breadth and explaining how Christ's atonement redeems all mankind. This edition is filled with stunning, full-color illustrations by James C. Christensen, Simon Dewey, Greg Olsen, Walter Rane, and many other artists.
Book Synopsis Infinite Paths to Infinite Reality by : Ayon Maharaj
Download or read book Infinite Paths to Infinite Reality written by Ayon Maharaj and published by Oxford University Press. This book was released on 2018-10-08 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sri Ramakrishna is widely known as a nineteenth-century Indian mystic who affirmed the harmony of all religions on the basis of his richly varied spiritual experiences and eclectic religious practices, both Hindu and non-Hindu. In Infinite Paths to Infinite Reality, Ayon Maharaj argues that Sri Ramakrishna was also a sophisticated philosopher of great contemporary relevance. Through a careful study of Sri Ramakrishna's recorded oral teachings in the original Bengali, Maharaj reconstructs his philosophical positions and analyzes them from a cross-cultural perspective. Sri Ramakrishna's spiritual journey culminated in the exalted state of "vijñana," his term for the "intimate knowledge" of God as the Infinite Reality that is both personal and impersonal, with and without form, immanent in the universe and beyond it. This expansive spiritual standpoint of vijñana, Maharaj contends, opens up a new paradigm for addressing central issues in cross-cultural philosophy of religion, including divine infinitude, religious pluralism, mystical experience, and the problem of evil. Sri Ramakrishna's vijñana-based religious pluralism--when grasped in all its subtlety--proves to have major philosophical advantages over dominant Western models. Moreover, his mystical testimony and teachings not only cut across long-standing debates about the nature of mystical experience but also bolster recent defenses of its epistemic value. Maharaj further demonstrates that Sri Ramakrishna's unique response to the problem of evil resonates strongly with Western "soul-making" theodicies and contemporary theories of skeptical theism. A pioneering interdisciplinary study of one of India's most important philosopher-mystics, Maharaj's book is essential reading for scholars and students in philosophy of religion, theology, religious studies, and Hindu studies.
Download or read book The Infinite View written by Ellen Tadd and published by Penguin. This book was released on 2017 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by internationally revered clairvoyant counselor and educator Ellen Tadd, The Infinite View is a spiritual classic in the making. People often lean towards either trusting their gut or relying on their analytical mind, but Tadd urges readers to consider a new approach that allows both emotions and the intellect to be guided by wisdom. Through describing how the Spirit, soul, and personality are integrated, she guides readers in deepening and expanding their perceptions to discover practical solutions to everyday challenges. According to Tadd, Spirit is the God Force that animates and empowers us and suffuses everyone and everything. But while Spirit is conscious and communicative, we haven't been taught to look for or listen to it. In fact, most of us have been conditioned not to look or listen. When we choose to attune our conscious mind with Spirit, we find ourselves able to engage life with greater clarity--even when it tests us through illness, death, loneliness, anxiety, or fear. The Infinite View offers tools and insights needed to achieve this attunement. Drawing on her personal narrative, as well as the experiences of her students, Tadd helps readers transform their understanding of themselves and the world around them.
Book Synopsis Knowing the Infinite Creator by : Angel V. Ornedo Jr.
Download or read book Knowing the Infinite Creator written by Angel V. Ornedo Jr. and published by Xlibris Corporation. This book was released on 2013-06-11 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: If you live as a purpose, objective driven person, a human being of persistence and substance, you will find this book very informative, a perspective of how to be successful in any of your positive endeavours, spiritual in objectivity, scientific in perspective and written with a real eye for service to other people. If your desires are only material in nature, this may not fit your profile as this book is a combination of success of spiritually and scientifically driven people, materially and spiritually with a major touch of helping other people as this is the real intention of the writer, learning and knowing how to serve others as service to others is service to the CREATOR. Abundance is a positive way of helping people and the Universe supplies everyone this wealth continuously, endlessly and without exhaustion!! Chapters I, II and III are devoted to our Maker, the Infinite Creator, Infinity, the Source Energy and names he is often called ALL THERE IS/ALL THAT IS. God gave us free will and no one, not even the Angels and the Higher Beings, RA, Christ or other Icons can violate this, otherwise they will come back to the Wisdom vibration and density of soul development. We have guardians, confederates and spiritual guides who are always there to guide us but they can never violate this rule, FREE WILL is given to us humans and all the entities of creation be they at the 4th or the seventh density of existence. Human beings have a penchant for discovery of things that have been discovered in the past. We always say we discovered, innovated or created when in fact as you read from artifacts of yore or the libraries of Nineveh discovered in Southern Iraq or Mesopotamia, almost everything we have today have been discovered or are in use during those times including lap tops, geodetic laser measuring devices, jet planes, helicopters, airplanes even tractors. Tractors are described as roaring machines that cultivates the soil in Africa. Take it from author Zechariah Sitchin and you will wonder. Thus the human being is a Creator itself created by the Maker to create beautiful things so Infinity can experience it thru us. We even duplicated and know and applied in our power systems the basic creation of God, Fusion. The olden civilizations, that in Egypt, and the Americas are filled with facts that detail achievements of the human race and teachings that are truth but today have been adulterated to appear as possible witchcraft when in fact are real descriptions of the Law of One taught by the golden people of Venus, that of RA social memory complex and the higher beings of nearby stars which can be seen at our dark night stars of Arcturus and Sirius. The Orion star are of the negative origin and their teachings are yes, negatives like that one we call Yahweh who masquerade teaching positive but in the real sense negative. Again these are the teachings of Thou Shalt Not as it gives to you the negatives. Why would you teach thou shalt not kill! You can simply say Though shall love thy neighbour as you love thyself! This is the positive way, never an inkling of bad that will definitely sink in our one year old brain, always a year old so says the adept. Our world has been a belligerent, troubled civilization as far as my memories can remember, World War I, II and the Cold War, from my childhood to the present. The nuclear bombs stored in various countries o
Book Synopsis No One's Ways by : Daniel Heller-Roazen
Download or read book No One's Ways written by Daniel Heller-Roazen and published by MIT Press. This book was released on 2017-03-24 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: From Homer's Outis—“No One,” or “Non-One,” “No Man,” or “Non-Man”—to “soul,” “spirit,” and the unnamable. Homer recounts how, trapped inside a monster's cave, with nothing but his wits to call upon, Ulysses once saved himself by twisting his name. He called himself Outis: “No One,” or “Non-One,” “No Man,” or “Non-Man.” The ploy was a success. He blinded his barbaric host and eluded him, becoming anonymous, for a while, even as he bore a name. Philosophers never forgot the lesson that the ancient hero taught. From Aristotle and his commentators in Greek, Arabic, Latin, and more modern languages, from the masters of the medieval schools to Kant and his many successors, thinkers have exploited the possibilities of adding “non-” to the names of man. Aristotle is the first to write of “indefinite” or “infinite” names, his example being “non-man.” Kant turns to such terms in his theory of the infinite judgment, illustrated by the sentence, “The soul is non-mortal.” Such statements play major roles in the philosophies of Maimon, Fichte, Schelling, Hegel, and Hermann Cohen. They are profoundly reinterpreted in the twentieth century by thinkers as diverse as Carnap and Heidegger. Reconstructing the adventures of a particle in philosophy, Daniel Heller-Roazen seeks to show how a grammatical possibility can be an incitement for thought. Yet he also draws a lesson from persistent examples. The philosophers' infinite names all point to one subject: us. “Non-man” or “soul,” “Spirit” or “the unconditioned,” we are beings who name and name ourselves, bearing witness to the fact that we are, in every sense, unnamable.
Book Synopsis Finite and Infinite Games by : James Carse
Download or read book Finite and Infinite Games written by James Carse and published by Simon and Schuster. This book was released on 2011-10-11 with total page 155 pages. Available in PDF, EPUB and Kindle. Book excerpt: “There are at least two kinds of games,” states James P. Carse as he begins this extraordinary book. “One could be called finite; the other infinite. A finite game is played for the purpose of winning, an infinite game for the purpose of continuing the play.” Finite games are the familiar contests of everyday life; they are played in order to be won, which is when they end. But infinite games are more mysterious. Their object is not winning, but ensuring the continuation of play. The rules may change, the boundaries may change, even the participants may change—as long as the game is never allowed to come to an end. What are infinite games? How do they affect the ways we play our finite games? What are we doing when we play—finitely or infinitely? And how can infinite games affect the ways in which we live our lives? Carse explores these questions with stunning elegance, teasing out of his distinctions a universe of observation and insight, noting where and why and how we play, finitely and infinitely. He surveys our world—from the finite games of the playing field and playing board to the infinite games found in culture and religion—leaving all we think we know illuminated and transformed. Along the way, Carse finds new ways of understanding everything, from how an actress portrays a role to how we engage in sex, from the nature of evil to the nature of science. Finite games, he shows, may offer wealth and status, power and glory, but infinite games offer something far more subtle and far grander. Carse has written a book rich in insight and aphorism. Already an international literary event, Finite and Infinite Games is certain to be argued about and celebrated for years to come. Reading it is the first step in learning to play the infinite game.
Book Synopsis Infinite Life by : Robert A. F. Thurman
Download or read book Infinite Life written by Robert A. F. Thurman and published by Riverhead Books (Hardcover). This book was released on 2004 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: America's most popular and charismatic Buddhist delivers the ultimate guidebook to understanding our place in the universe and realizing how we can personally succeed while helping others.
Book Synopsis Playing with Infinity by : Rozsa Peter
Download or read book Playing with Infinity written by Rozsa Peter and published by . This book was released on 1986-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Popular account ranges from counting to mathematical logic and covers many concepts related to infinity: graphic representation of functions; pairings, other combinations; prime numbers; logarithms, circular functions; more. 216 illustrations.
