Download or read book Dialogues on Mathematics written by Alfréd Rényi and published by . This book was released on 1967 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Beauty of Doing Mathematics written by Serge Lang and published by Springer Science & Business Media. This book was released on 1985-09-04 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: If someone told you that mathematics is quite beautiful, you might be surprised. But you should know that some people do mathematics all their lives, and create mathematics, just as a composer creates music. Usually, every time a mathematician solves a problem, this gives rise to many oth ers, new and just as beautiful as the one which was solved. Of course, often these problems are quite difficult, and as in other disciplines can be understood only by those who have studied the subject with some depth, and know the subject well. In 1981, Jean Brette, who is responsible for the Mathematics Section of the Palais de la Decouverte (Science Museum) in Paris, invited me to give a conference at the Palais. I had never given such a conference before, to a non-mathematical public. Here was a challenge: could I communicate to such a Saturday afternoon audience what it means to do mathematics, and why one does mathematics? By "mathematics" I mean pure mathematics. This doesn't mean that pure math is better than other types of math, but I and a number of others do pure mathematics, and it's about them that I am now concerned. Math has a bad reputation, stemming from the most elementary levels. The word is in fact used in many different contexts. First, I had to explain briefly these possible contexts, and the one with which I wanted to deal.
Download or read book Dialogues on Mathematics written by Alfred Renyi and published by . This book was released on 2019-06-14 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses in dialogue form the basic principles of mathematics and its applications including the question: What is mathematics? What does its specific method consist of? What is its relation to the sciences and humanities? What can it offer to specialists in different fields? How can it be applied in practice and in discovering the laws of nature? Dramatized by the dialogue form and shown in the historical movements in which they originated, these questions are discussed in their full complexity, yet are easily comprehended. The first dialogue, whose chief actor is Socrates, leads the reader to the source of modern mathematics in Athens in the 5th Century BC. The second dialogue, featuring Archimedes, takes place during the siege of Syracuse in 212 BC and shows the birth of applied mathematics. The third dialogue occurs in the year 1633 in Rome, its chief character being Galileo Galilei who fully realized the central importance of the mathematical method in discovering the laws of nature. Intended as supplemental reading for philosophy of mathematics courses at the high school or college level it will be of interest to both specialists and non-specialists in mathematics. Alfréd Rényi was born in Budapest Hungary in 1921. He studied mathematics and physics at the University of Budapest and received his Ph. D. from the University of Szaged in 1945. Since 1950 he has been Director of the Mathematical Research Institute of the Hungarian Academy of Sciences and since 1952 a professor at the University of Budapest. Dr. Renyi was a visiting professor at Michigan State University in 1961, at the University of Michigan in 1964 and at Stanford University in 1966. His main fields of research are probability theory, mathematical statistics and information theory, and he has also worked in analytic number theory as well as in various branches of analysis, combinatorial analysis and geometry.
Download or read book Practices and Policies written by Aris Winger and published by . This book was released on 2021-08-19 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: As a natural follow up to "Asked and Answered: Dialogues On Advocating For Students of Color in Mathematics", this book centers the personal narratives and contributions of mathematicians who deeply believe in the power of their advocacy work to bring positive change to the culture and climate of the mathematical community. Moreover, continuing the important theme of 5% actionable change, the book centers over 300 tangible practices and policies to advocate for students of color in mathematics, compiled from participants in our professional development programming which answers the question "What can I do to advocate for students of color?" After engaging with the book the reader will be equipped with numerous concrete suggestions for advocating for students of color, ways in which they can continue this work in spite of challenges that may arise, and most importantly, the reader will have the opportunity to reimagine what it means for them personally to be an advocate for students of color. Featuring contributions from: Elizabeth A. Arnold, Karen Cangialosi, Catherine Cannizzo, Alvaro Carbonero, Stacey S. Cofield, Bryan Dewsbury, Carrie Diaz Eaton, Ricela Feliciano-Semidei, Padi Fuster, Brittany Gelb, Abbe Herzig, Kim Holman, David Jekel, Selvi Kara, Kim Klinger-Logan, Tim McEldowney, Amaury V. Miniño, Ralph Morrison, Nikhil Sahoo, Suzanne Sindi, Vesna Stojanoska, Vanessa Sun, Sarah Sword, Lola Thompson, Lee Trent, Julianne Vega, Andrés R. Vindas-Meléndez
Download or read book Conversations on Mind Matter and Mathematics written by Jean-Pierre Changeux and published by Princeton University Press. This book was released on 1998-12-27 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Do numbers and the other objects of mathematics enjoy a timeless existence independent of human minds, or are they the products of cerebral invention? Do we discover them, as Plato supposed and many others have believed since, or do we construct them? Does mathematics constitute a universal language that in principle would permit human beings to communicate with extraterrestrial civilizations elsewhere in the universe, or is it merely an earthly language that owes its accidental existence to the peculiar evolution of neuronal networks in our brains? Does the physical world actually obey mathematical laws, or does it seem to conform to them simply because physicists have increasingly been able to make mathematical sense of it? Jean-Pierre Changeux, an internationally renowned neurobiologist, and Alain Connes, one of the most eminent living mathematicians, find themselves deeply divided by these questions. The problematic status of mathematical objects leads Changeux and Connes to the organization and function of the brain, the ways in which its embryonic and post-natal development influences the unfolding of mathematical reasoning and other kinds of thinking, and whether human intelligence can be simulated, modeled,--or actually reproduced-- by mechanical means. The two men go on to pose ethical questions, inquiring into the natural foundations of morality and the possibility that it may have a neural basis underlying its social manifestations. This vivid record of profound disagreement and, at the same time, sincere search for mutual understanding, follows in the tradition of Poincaré, Hadamard, and von Neumann in probing the limits of human experience and intellectual possibility. Why order should exist in the world at all, and why it should be comprehensible to human beings, is the question that lies at the heart of these remarkable dialogues.
Download or read book Scripting Approaches in Mathematics Education written by Rina Zazkis and published by Springer. This book was released on 2017-10-30 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book shows how the practice of script writing can be used both as a pedagogical approach and as a research tool in mathematics education. It provides an opportunity for script-writers to articulate their mathematical arguments and/or their pedagogical approaches. It further provides researchers with a corpus of narratives that can be analyzed using a variety of theoretical perspectives. Various chapters argue for the use of dialogical method and highlight its benefits and special features. The chapters examine both “low tech” implementations as well as the use of a technological platform, LessonSketch. The chapters present results of and insights from several recent studies, which utilized scripting in mathematics education research and practice.
Download or read book Dialogues on Mathematics written by Alfred Renyi (Mathematician, Hungary) and published by . This book was released on 1967 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Dialogues Between Physics and Mathematics written by Mo-Lin Ge and published by Springer Nature. This book was released on 2022-12-10 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume celebrates the 100th birthday of Professor Chen-Ning Frank Yang (Nobel 1957), one of the giants of modern science and a living legend. Starting with reminiscences of Yang's time at the research centre for theoretical physics at Stonybrook (now named C. N. Yang Institute) by his successor Peter van Nieuwenhuizen, the book is a collection of articles by world-renowned mathematicians and theoretical physicists. This emphasizes the Dialogue Between Physics and Mathematics that has been a central theme of Professor Yang’s contributions to contemporary science. Fittingly, the contributions to this volume range from experimental physics to pure mathematics, via mathematical physics. On the physics side, the contributions are from Sir Anthony Leggett (Nobel 2003), Jian-Wei Pan (Willis E. Lamb Award 2018), Alexander Polyakov (Breakthrough Prize 2013), Gerard 't Hooft (Nobel 1999), Frank Wilczek (Nobel 2004), Qikun Xue (Fritz London Prize 2020), and Zhongxian Zhao (Bernd T. Matthias Prize 2015), covering an array of topics from superconductivity to the foundations of quantum mechanics. In mathematical physics there are contributions by Sir Roger Penrose (Nobel 2022) and Edward Witten (Fields Medal 1990) on quantum twistors and quantum field theory, respectively. On the mathematics side, the contributions by Vladimir Drinfeld (Fields Medal 1990), Louis Kauffman (Wiener Gold Medal 2014), and Yuri Manin (Cantor Medal 2002) offer novel ideas from knot theory to arithmetic geometry. Inspired by the original ideas of C. N. Yang, this unique collection of papers b masters of physics and mathematics provides, at the highest level, contemporary research directions for graduate students and experts alike.
Download or read book The Dialogues written by Clifford V. Johnson and published by National Geographic Books. This book was released on 2018-10-23 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A series of conversations about science in graphic form, on subjects that range from the science of cooking to the multiverse. Physicist Clifford Johnson thinks that we should have more conversations about science. Science should be on our daily conversation menu, along with topics like politics, books, sports, or the latest prestige cable drama. Conversations about science, he tells us, shouldn't be left to the experts. In The Dialogues, Johnson invites us to eavesdrop on a series of nine conversations, in graphic-novel form—written and drawn by Johnson—about “the nature of the universe.” The conversations take place all over the world, in museums, on trains, in restaurants, in what may or may not be Freud's favorite coffeehouse. The conversationalists are men, women, children, experts, and amateur science buffs. The topics of their conversations range from the science of cooking to the multiverse and string theory. The graphic form is especially suited for physics; one drawing can show what it would take many words to explain. In the first conversation, a couple meets at a costume party; they speculate about a scientist with superhero powers who doesn't use them to fight crime but to do more science, and they discuss what it means to have a “beautiful equation” in science. Their conversation spills into another chapter (“Hold on, you haven't told me about light yet”), and in a third chapter they exchange phone numbers. Another couple meets on a train and discusses immortality, time, black holes, and religion. A brother and sister experiment with a grain of rice. Two women sit in a sunny courtyard and discuss the multiverse, quantum gravity, and the anthropic principle. After reading these conversations, we are ready to start our own.
Download or read book Plato s Mathematical Imagination written by Robert Sherrick Brumbaugh and published by . This book was released on 1954 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Proofs and Refutations written by Imre Lakatos and published by Cambridge University Press. This book was released on 1976 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proofs and Refutations is for those interested in the methodology, philosophy and history of mathematics.
Download or read book Plato s Mathematical Imagination written by Robert Sherrick Brumbaugh and published by Bloomington : Indiana University Press. This book was released on 1954 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Dialogues written by Stanislaw Lem and published by MIT Press. This book was released on 2021-09-28 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first English translation of a nonfiction work by Stanisław Lem, which was "conceived under the spell of cybernetics" in 1957 and updated in 1971. In 1957, Stanisław Lem published Dialogues, a book "conceived under the spell of cybernetics," as he wrote in the preface to the second edition. Mimicking the form of Berkeley's Three Dialogues between Hylas and Philonous, Lem's original dialogue was an attempt to unravel the then-novel field of cybernetics. It was a testimony, Lem wrote later, to "the almost limitless cognitive optimism" he felt upon his discovery of cybernetics. This is the first English translation of Lem's Dialogues, including the text of the first edition and the later essays added to the second edition in 1971. For the second edition, Lem chose not to revise the original. Recognizing the naivete of his hopes for cybernetics, he constructed a supplement to the first dialogue, which consists of two critical essays, the first a summary of the evolution of cybernetics, the second a contribution to the cybernetic theory of the "sociopathology of governing," amending the first edition's discussion of the pathology of social regulation; and two previously published articles on related topics. From the vantage point of 1971, Lem observes that original book, begun as a search for methods "that would increase our understanding of both the human and nonhuman worlds," was in the end "an expression of the cognitive curiosity and anxiety of modern thought."
Download or read book Dialogues Concerning Natural Numbers written by Charles Sayward and published by Peter Lang. This book was released on 2009 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dialogues Concerning Natural Numbers advances a thesis made several years ago by Rudolph Carnap: The sentence «There are numbers» is a trivial truth if construed as an assertion from within mathematics. As such it cannot possibly divide philosophers of mathematics. It lacks sense if construed as an assertion outside of mathematics. Unfortunately, the truth and importance of Carnap's thesis has not been fully appreciated by philosophers of mathematics. The six dialogues that compose Dialogues Concerning Natural Numbers were formed to bring attention and praise to Carnap's theory.
Download or read book Great Moments in Mathematics Before 1650 written by Howard Eves and published by American Mathematical Soc.. This book was released on 1983-12-31 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: Great Moments in Mathematics: Before 1650 is the product of a series of lectures on the history of mathematics given by Howard Eves. He presents here, in chronological order, 20 ``great moments in mathematics before 1650'', which can be appreciated by anyone who enjoys mathematics. These wonderful lectures could be used as the basis of a course on the history of mathematics but can also serve as enrichment to any mathematics course. Included are lectures on the Pythagorean Theorem, Euclid's Elements, Archimedes (on the sphere), Diophantus, Omar Khayyam, and Fibonacci.
Download or read book The Beauty of Doing Mathematics written by Serge Lang and published by . This book was released on 1985-09-04 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Square Root of 2 written by David Flannery and published by Springer Science & Business Media. This book was released on 2006-04-26 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: An elegantly dramatized and illustrated dialog on the square root of two and the whole concept of irrational numbers.
