Geometry S Great Thinkers Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Geometry S Great Thinkers book. This book definitely worth reading, it is an incredibly well-written.
This book introduces students to both ancient and modern pioneer figures of geometry. Students are entertainingly guided through important theories and concepts integral to the use of geometry. Includes detailed background information on Pythagoras of Samos, Euclid of Alexandria, Rene Descartes, and Grace Chisholm Young. Fascinating coverage is provided on the models of the Pythagorean theorem, the basics of Euclidean geometry, and the Cartesian coordinate system.
Metaphor, Sustainability, Transformation by Ian Hughes,Edmond Byrne,Gerard Mullally,Colin Sage Pdf
This book offers an eclectic range of transdisciplinary insights into the role of metaphor, myth and fable in shaping our understanding of the world and how we interact with it and with each other. Drawing on innovative perspectives from widely different fields, this book explores how metaphor might facilitate and underpin transformative change towards environmental, ecological and societal sustainability. It illustrates the ways in which contemporary metaphors lock us into patterns of thinking, modes of behaviour, and styles of living that reproduce and accentuate our current socio-environmental problems. It sets itself the task of finding new metaphors and myths that might help move us towards sustainability as societal flourishing. By examining the use of metaphor in diverse fields such as energy use, the food system, health care, arts and the humanities, it invites the reader to reflect on the deep-seated influence of language in general, and metaphor in particular, in shaping how we understand and act upon the world. Re-imagining the use of language in framing both the problems we face and the solutions we devise, this novel contribution is a vital source of ideas for those aiming to change how we think and act in pursuit of more sustainable futures.
Alan Turing: Life and Legacy of a Great Thinker by Christof Teuscher Pdf
Written by a distinguished cast of contributors, Alan Turing: Life and Legacy of a Great Thinker is the definitive collection of essays in commemoration of the 90th birthday of Alan Turing. This fascinating text covers the rich facets of his life, thoughts, and legacy, but also sheds some light on the future of computing science with a chapter contributed by visionary Ray Kurzweil, winner of the 1999 National Medal of Technology. Further, important contributions come from the philosopher Daniel Dennett, the Turing biographer Andrew Hodges, and from the distinguished logician Martin Davis, who provides a first critical essay on an emerging and controversial field termed "hypercomputation".
How Great Thinkers Transformed Our Ideas by C C Hagan Pdf
"Dare to think!” This was the catch cry of the Enlightenment over 300 years ago when the breakaway from religion towards a more secular society began. Isaac Newton led the Scientific Revolution which transformed society for the next 300 years with progress not then dreamed of. Stephen Hawking revealed a new cosmology and linked Einstein’s relativity to small scale quantum mechanics. Yet what was the mind set of Newton’s age compared to Hawking’s age? What were the changes in the mind sets of society and philosophy during those 300 years and were they all linked to science? This book represents a slice of the history of ideas, science and philosophy mixed with their personal lives against how science, mathematics and philosophy evolved over those 300 years. Revealed are the truly astonishing stories and ideas of five of the greatest thinkers who ever lived who provided us rich insights into the cosmos. Their stories class them as true founders of scientific revolutions, battlers with feats of endurance, and triumphs to rise to great heights. Through the personal tragedies of Curie and Hawking to the intellectual battles fought by Einstein, Newton and Leibniz these five scientists inspire us and enrich our ideas.
On Philosophy and Philosophers by Richard Rorty Pdf
"Philosophers suffer from a peculiar occupational hazard; people are always coming up and asking them just what it is that they do and how they do it. This is not the sort of question that biologists or economists or musicians get asked; people know, pretty well, what they do, and they may or may not be interested in the details. But a philosopher is different - it is very hard to imagine just what he does with his time"--
God’s war crimes, Aristotle’s sneaky tricks, Einstein’s pajamas, information theory’s blind spot, Stephen Wolfram’s new kind of science, and six monkeys at six typewriters getting it wrong. What do these have to do with the birth of a universe and with your need for meaning? Everything, as you’re about to see. How does the cosmos do something it has long been thought only gods could achieve? How does an inanimate universe generate stunning new forms and unbelievable new powers without a creator? How does the cosmos create? That’s the central question of this book, which finds clues in strange places. Why A does not equal A. Why one plus one does not equal two. How the Greeks used kickballs to reinvent the universe. And the reason that Polish-born Benoît Mandelbrot—the father of fractal geometry—rebelled against his uncle. You’ll take a scientific expedition into the secret heart of a cosmos you’ve never seen. Not just any cosmos. An electrifyingly inventive cosmos. An obsessive-compulsive cosmos. A driven, ambitious cosmos. A cosmos of colossal shocks. A cosmos of screaming, stunning surprise. A cosmos that breaks five of science’s most sacred laws. Yes, five. And you’ll be rewarded with author Howard Bloom’s provocative new theory of the beginning, middle, and end of the universe—the Bloom toroidal model, also known as the big bagel theory—which explains two of the biggest mysteries in physics: dark energy and why, if antimatter and matter are created in equal amounts, there is so little antimatter in this universe. Called "truly awesome" by Nobel Prize–winner Dudley Herschbach, The God Problem will pull you in with the irresistible attraction of a black hole and spit you out again enlightened with the force of a big bang. Be prepared to have your mind blown. From the Hardcover edition.
Biological and Neuroscientific Foundations of Philosophy by Franco Fabbro Pdf
Biological and Neuroscientific Foundations of Philosophy is an authoritative text addressing both academicians and students, and it proposes an integrated and holistic view of scientific study and presents a new paradigm by which to study philosophy. It highlights, in a systematic and sufficiently simple manner, the fundamental role of neuroscience, neuropsychology and biology within philosophical reflection. Written by an expert in neuroscience, the book draws together different strands of study to explore how scientific and neuropsychological discoveries are integral to the study of philosophy and our understanding of mind. It argues to move away from a philosophical paradigm that is based solely within physics and mathematics and to embrace more complex frames of data and knowledge of psychology and biology to advance the discipline. The book also reflects on the symbolic dimensions and the concept of "information" that characterize DNA (biology), and the psyche and language (cognitive and social neuroscience). It offers an ambitious thesis that ties together the philosophical foundations of science, the evolutionary history of human beings, social organization, communication and consciousness. This interdisciplinary work will be highly beneficial for researchers and postgraduate students of neuroscience, philosophy and biological sciences, as well as those interested in the intersection between philosophy and neuroscience.
Philosophy of Geometry from Riemann to Poincaré by R. Torretti Pdf
Geometry has fascinated philosophers since the days of Thales and Pythagoras. In the 17th and 18th centuries it provided a paradigm of knowledge after which some thinkers tried to pattern their own metaphysical systems. But after the discovery of non-Euclidean geometries in the 19th century, the nature and scope of geometry became a bone of contention. Philosophical concern with geometry increased in the 1920's after Einstein used Riemannian geometry in his theory of gravitation. During the last fifteen or twenty years, renewed interest in the latter theory -prompted by advances in cosmology -has brought geometry once again to the forefront of philosophical discussion. The issues at stake in the current epistemological debate about geometry can only be understood in the light of history, and, in fact, most recent works on the subject include historical material. In this book, I try to give a selective critical survey of modern philosophy of geometry during its seminal period, which can be said to have begun shortly after 1850 with Riemann's generalized conception of space and to achieve some sort of completion at the turn of the century with Hilbert's axiomatics and Poincare's conventionalism. The philosophy of geometry of Einstein and his contemporaries will be the subject of another book. The book is divided into four chapters. Chapter 1 provides back ground information about the history of science and philosophy.
The Mathematician's Brain poses a provocative question about the world's most brilliant yet eccentric mathematical minds: were they brilliant because of their eccentricities or in spite of them? In this thought-provoking and entertaining book, David Ruelle, the well-known mathematical physicist who helped create chaos theory, gives us a rare insider's account of the celebrated mathematicians he has known-their quirks, oddities, personal tragedies, bad behavior, descents into madness, tragic ends, and the sublime, inexpressible beauty of their most breathtaking mathematical discoveries. Consider the case of British mathematician Alan Turing. Credited with cracking the German Enigma code during World War II and conceiving of the modern computer, he was convicted of "gross indecency" for a homosexual affair and died in 1954 after eating a cyanide-laced apple--his death was ruled a suicide, though rumors of assassination still linger. Ruelle holds nothing back in his revealing and deeply personal reflections on Turing and other fellow mathematicians, including Alexander Grothendieck, René Thom, Bernhard Riemann, and Felix Klein. But this book is more than a mathematical tell-all. Each chapter examines an important mathematical idea and the visionary minds behind it. Ruelle meaningfully explores the philosophical issues raised by each, offering insights into the truly unique and creative ways mathematicians think and showing how the mathematical setting is most favorable for asking philosophical questions about meaning, beauty, and the nature of reality. The Mathematician's Brain takes you inside the world--and heads--of mathematicians. It's a journey you won't soon forget.
Smarandache Function Journal, vol. 11/2000 by V. Seleacu , Balacenoiu Pdf
A collection of papers concerning Smarandache type functions, numbers, sequences, inteqer algorithms, paradoxes, experimental geometries, algebraic structures, neutrosophic probability, set, and logic, etc.
Understanding the Political Philosophers by Alan Haworth Pdf
This absorbing study invites you to climb inside the heads of the major political philosophers, as it were, and to see the world through their eyes. Beginning with Socrates and concluding with post-Rawlsian theory, Alan Haworth presents the key ideas and developments with clarity and depth. Each chapter provides a concentrated study of a given thinker or group of thinkers and together they constitute a broad account of the main arguments in political philosophy. There are chapters on Socrates, Plato, Aristotle, Hobbes, Locke, Rousseau, the Utilitarians, Marx, Rawls, and post-Rawlsian developments. This is a fascinating, lively and engaging look at the topic and will be appropriate for any student taking a course in political philosophy or political thought.
An exquisite visual celebration of the 2,500-year history of geometry If you've ever thought that mathematics and art don't mix, this stunning visual history of geometry will change your mind. As much a work of art as a book about mathematics, Beautiful Geometry presents more than sixty exquisite color plates illustrating a wide range of geometric patterns and theorems, accompanied by brief accounts of the fascinating history and people behind each. With artwork by Swiss artist Eugen Jost and text by math historian Eli Maor, this unique celebration of geometry covers numerous subjects, from straightedge-and-compass constructions to intriguing configurations involving infinity. The result is a delightful and informative illustrated tour through the 2,500-year-old history of one of the most important branches of mathematics.
Maria do Rosário Monteiro,Mário S. Ming Kong,Maria João Pereira Neto
Author : Maria do Rosário Monteiro,Mário S. Ming Kong,Maria João Pereira Neto Publisher : CRC Press Page : 418 pages File Size : 48,6 Mb Release : 2016-11-03 Category : Social Science ISBN : 9781351966832
Utopia(s) - Worlds and Frontiers of the Imaginary by Maria do Rosário Monteiro,Mário S. Ming Kong,Maria João Pereira Neto Pdf
The idea of Utopia springs from a natural desire of transformation, of evolution pertaining to humankind and, therefore, one can find expressions of “utopian” desire in every civilization. Having to do explicitly with human condition, Utopia accompanies closely cultural evolution, almost as a symbiotic organism. Maintaining its roots deeply attached to ancient myths, utopian expression followed, and sometimes preceded cultural transformation. Through the next almost five hundred pages (virtually one for each year since Utopia was published) researchers in the fields of Architecture and Urbanism, Arts and Humanities present the results of their studies within the different areas of expertise under the umbrella of Utopia. Past, present, and future come together in one book. They do not offer their readers any golden key. Many questions will remain unanswered, as they should. The texts presented in Proportion Harmonies and Identities - UTOPIA(S) WORLDS AND FRONTIERS OF THE IMAGINARY were compiled with the intent to establish a platform for the presentation, interaction and dissemination of researches. It aims also to foster the awareness and discussion on the topics of Harmony and Proportion with a focus on different utopian visions and readings relevant to the arts, sciences and humanities and their importance and benefits for the community at large.
Eureka Math Grade 8 Study Guide by Great Minds Pdf
Eureka Math is a comprehensive, content-rich PreK–12 curriculum that follows the focus and coherence of the Common Core State Standards in Mathematics (CCSSM) and carefully sequences the mathematical progressions into expertly crafted instructional modules. The companion Study Guides to Eureka Math gather the key components of the curriculum for each grade into a single location, unpacking the standards in detail so that both users and non-users of Eureka Math can benefit equally from the content presented. Each of the Eureka Math Curriculum Study Guides includes narratives that provide educators with an overview of what students should be learning throughout the year, information on alignment to the instructional shifts and the standards, design of curricular components, approaches to differentiated instruction, and descriptions of mathematical models. The Study Guides can serve as either a self-study professional development resource or as the basis for a deep group study of the standards for a particular grade. For teachers who are new to the classroom or the standards, the Study Guides introduce them not only to Eureka Math but also to the content of the grade level in a way they will find manageable and useful. Teachers familiar with the Eureka Math curriculum will also find this resource valuable as it allows for a meaningful study of the grade level content in a way that highlights the coherence between modules and topics. The Study Guides allow teachers to obtain a firm grasp on what it is that students should master during the year. The Eureka Math Curriculum Study Guide, Grade 8 provides an overview of all of the Grade 8 modules, including Integer Exponents and Scientific Notation; The Concept of Congruence; Similarity; Linear Equations; Examples of Functions from Geometry; Linear Functions; Introduction to Irrational Numbers Using Geometry.
Eureka Math Statistics and Probability Study Guide by Great Minds Pdf
The team of teachers and mathematicians who created Eureka Math™ believe that it's not enough for students to know the process for solving a problem; they need to know why that process works. That's why students who learn math with Eureka can solve real-world problems, even those they have never encountered before. The Study Guides are a companion to the Eureka Math program, whether you use it online or in print. The guides collect the key components of the curriculum for each grade in a single volume. They also unpack the standards in detail so that anyone—even non-Eureka users—can benefit. The guides are particularly helpful for teachers or trainers seeking to undertake or lead a meaningful study of the grade level content in a way that highlights the coherence between modules and topics. We're here to make sure you succeed with an ever-growing library of resources. Take advantage of the full set of Study Guides available for each grade, PK-12, or materials at eureka-math.org such as free implementation and pacing guides, material lists, parent resources, and more.