MATHEMATICS IN NATURE SPACE AND TIME

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Mathematics In Nature Space And Time

Author : John Blackwood
ISBN : 0863158188
Genre : Education
File Size : 88.64 MB
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An authoritative combined edition of two Steiner-Waldorf math textbooks
Category: Education

The Nature Of Space And Time

Author : Stephen Hawking
ISBN : 1400834740
Genre : Science
File Size : 66.74 MB
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Einstein said that the most incomprehensible thing about the universe is that it is comprehensible. But was he right? Can the quantum theory of fields and Einstein's general theory of relativity, the two most accurate and successful theories in all of physics, be united into a single quantum theory of gravity? Can quantum and cosmos ever be combined? In The Nature of Space and Time, two of the world’s most famous physicists—Stephen Hawking (A Brief History of Time) and Roger Penrose (The Road to Reality)—debate these questions. The authors outline how their positions have further diverged on a number of key issues, including the spatial geometry of the universe, inflationary versus cyclic theories of the cosmos, and the black-hole information-loss paradox. Though much progress has been made, Hawking and Penrose stress that physicists still have further to go in their quest for a quantum theory of gravity.
Category: Science

Geometry In Nature

Author : John Blackwood
ISBN : 0863159214
Genre : Mathematics
File Size : 74.3 MB
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From the simplest observations in nature to detailed measuring of intricate forms, we find geometry everywhere in the world around us.In this magnificent book, John Blackwood explores different kinds of symmetry in the diverse realms of nature. He considers the fundamental forms of minerals, plants, animals and humans, before going on to look at spirals, vortices, buds and other complex shapes. Using projective geometry as a basis, he shows how many forms in nature are generated by the same basic geometrical process, but significant disparities lead to the wondrous variety found in our universe.Fully illustrated with over 500 photographs, drawings and diagrams, this is both a beautiful and inspirational book.
Category: Mathematics

Space Time Matter

Author : Hermann Weyl
ISBN : 9780486318424
Genre : Science
File Size : 37.82 MB
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Excellent introduction probes deeply into Euclidean space, Riemann's space, Einstein's general relativity, gravitational waves and energy, and laws of conservation. "A classic of physics." — British Journal for Philosophy and Science.
Category: Science

Space Time And The Limits Of Human Understanding

Author : Shyam Wuppuluri
ISBN : 9783319444185
Genre : Science
File Size : 89.93 MB
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In this compendium of essays, some of the world’s leading thinkers discuss their conceptions of space and time, as viewed through the lens of their own discipline. With an epilogue on the limits of human understanding, this volume hosts contributions from six or more diverse fields. It presumes only rudimentary background knowledge on the part of the reader. Time and again, through the prism of intellect, humans have tried to diffract reality into various distinct, yet seamless, atomic, yet holistic, independent, yet interrelated disciplines and have attempted to study it contextually. Philosophers debate the paradoxes, or engage in meditations, dialogues and reflections on the content and nature of space and time. Physicists, too, have been trying to mold space and time to fit their notions concerning micro- and macro-worlds. Mathematicians focus on the abstract aspects of space, time and measurement. While cognitive scientists ponder over the perceptual and experiential facets of our consciousness of space and time, computer scientists theoretically and practically try to optimize the space-time complexities in storing and retrieving data/information. The list is never-ending. Linguists, logicians, artists, evolutionary biologists, geographers etc., all are trying to weave a web of understanding around the same duo. However, our endeavour into a world of such endless imagination is restrained by intellectual dilemmas such as: Can humans comprehend everything? Are there any limits? Can finite thought fathom infinity? We have sought far and wide among the best minds to furnish articles that provide an overview of the above topics. We hope that, through this journey, a symphony of patterns and tapestry of intuitions will emerge, providing the reader with insights into the questions: What is Space? What is Time? Chapter [15] of this book is available open access under a CC BY 4.0 license.
Category: Science

The Mathematics Of Relativity For The Rest Of Us

Author : Louis S. Jagerman
ISBN : 9781552125670
Genre : Science
File Size : 20.44 MB
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The Mathematics of Relativity for the Rest of Us is intended to give the generally educated reader a thorough and factual understanding of Einstein's theory of relativity - including the difficult mathematical concepts, even if the reader is not trained in higher mathematics.
Category: Science

On Space And Time

Author : John Polkinghorne
ISBN : 9781107641686
Genre : Science
File Size : 81.42 MB
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Gets to the heart of science by asking a fundamental question: what is the true nature of space and time?
Category: Science

The Philosophy Of Space And Time

Author : Hans Reichenbach
ISBN : 9780486138039
Genre : Science
File Size : 64.27 MB
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A clear, penetrating exposition of developments in physical science and mathematics brought about by non-Euclidean geometries, including in-depth coverage of the foundations of geometry, theory of time, other topics.
Category: Science

The Nature And Growth Of Modern Mathematics

Author : Edna Ernestine Kramer
ISBN : 0691023727
Genre : Mathematics
File Size : 38.50 MB
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Now available in a one-volume paperback, this book traces the development of the most important mathematical concepts, giving special attention to the lives and thoughts of such mathematical innovators as Pythagoras, Newton, Poincare, and Godel. Beginning with a Sumerian short story--ultimately linked to modern digital computers--the author clearly introduces concepts of binary operations; point-set topology; the nature of post-relativity geometries; optimization and decision processes; ergodic theorems; epsilon-delta arithmetization; integral equations; the beautiful "ideals" of Dedekind and Emmy Noether; and the importance of "purifying" mathematics. Organizing her material in a conceptual rather than a chronological manner, she integrates the traditional with the modern, enlivening her discussions with historical and biographical detail.
Category: Mathematics

Kant And The Double Government Methodology

Author : Robert E. Butts
ISBN : 9789400963931
Genre : History
File Size : 36.83 MB
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This is a book about dreaming and knowing, and about thinking that one can ascertain the difference. It is a book about the Bernards of the world who would have us believe that there is a humanly uncreated world existing en Boi that freely dis closes its forever fixed ontology, even though they too must accept that -many of the worlds we make as we try to under stand ourselves are counterfeit. It is a book about the real estate of the human mind. The book is about Leibniz and Kant, and about methods of science. It is also about what is now called pseudo-science. It tries to show how Kant struggled to mark the limits of the humanly knowable, and how thi s strug gle involved him in trying to answer questions of importance then and now. Some are philosophers' questions: the epistemo logical status of mathematics, the role of space and time in knowing, the nature of the conceptual constraints on our ef forts to hypothesize the possible. Some are questions of per ennial human interest: Can spirits exist? How is the soul re lated to the body? How can we legitimately talk about God, if at all? Finally, Kant teaches that these are all questions bearing on our entitlements in claiming to know. Leibniz fashioned a way of talking about nature and super nature that I call the Double Government Methodology.
Category: History