Search results for: mathematics-in-nature-space-and-time

Mathematics in Nature Space and Time

Author : John Blackwood
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An authoritative combined edition of two Steiner-Waldorf math textbooks

The Nature of Space and Time

Author : Stephen Hawking
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From two of the world's great physicists—Stephen Hawking and Nobel laureate Roger Penrose—a lively debate about the nature of space and time 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.

The Nature of Space and Time

Author : Stephen W. Hawking
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Presents a series of lectures delivered in 1994 by Hawking and Penrose, renowned professors at Cambridge and Oxford, respectively, on the general topic of how mathematical physics might best represent the realities of the universe.

Mathematics in Space and Time

Author : John Blackwood
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A teachers' book for mathematics covering 'Platonic Solids' and 'Rhythm and Cycles' which includes full colour illustrations and diagrams throughout.A resource for Steiner-Waldorf teachers for maths for Class 8 (age 13-14).

Geometry in Nature

Author : John Blackwood
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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.

Space Time Matter

Author : Hermann Weyl
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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.

The Mathematical Reality

Author : Alexander Unzicker
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Alexander Unzicker is a theoretical physicist and writes about elementary questions of natural philosophy. His critique of contemporary physics Bankrupting Physics (Macmillan) received the 'Science Book of the Year' award (German edition 2010). With The Mathematical Reality, Unzicker presents his most fundamental work to date, which is the result of years of study of natural laws and their historical development.The discovery of fundamental laws of nature has influenced the fate of Homo sapiens more than anything else. Has modern physics already understood these laws? Many puzzles formulated by Albert Einstein or Paul Dirac are still unsolved today, in particular the meaning of fundamental constants. In this book, Unzicker contends that a rational description of nature must do without any constants.A methodological and historical analysis shows, however, that the underlying problem of physics is deep, unexpected and fatal: the concepts of space and time themselves, the basis of science since Newton, could be fundamentally inappropriate for the description of reality, although-or precisely because-they are so easily accessible to human perception.A new understanding of reality can only arise from mathematics. By exploring the three-dimensional unitary sphere, which could replace the concepts of space and time, the author presents a mathematical vision that points the way to a new understanding of reality.

On Space and Time

Author : John Polkinghorne
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Gets to the heart of science by asking a fundamental question: what is the true nature of space and time?

The Philosophy of Space and Time

Author : Hans Reichenbach
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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.

The Mathematics of Relativity for the Rest of Us

Author : Louis S. Jagerman
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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.

Space Time and the Limits of Human Understanding

Author : Shyam Wuppuluri
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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.

The Mathematical Theory of Black Holes

Author : Subrahmanyan Chandrasekhar
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"The theory of black holes is the most simple consequence of Einstein's relativity theory. Dealing with relativity theory, this book details one of the most beautiful areas of mathematical physics; the theory of black holes. It represents a personal testament to the work of the author, who spent several years working-out the subject matter."--WorldCat.

It s About Time

Author : Alex Duthie, PEng
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It’s About Time presents an introduction to theoretical physics as well as challenges to some of the concepts put forward by theoretical physicists of our time. These scientists have presented such concepts in countless public lectures, highlights of which are compiled here along with a variety of historical data, such as the history of earth time. Also included are short biographies of physicists who have contributed significantly to our knowledge base. To help foster understanding of the related astronomical matters, It’s About Time includes technical information relating to Newton and Kepler’s laws. Technical discussions are appended to the end of each relevant chapter. Furthermore, it offers a credible and significant challenge to Einstein’s theories and to the current thinking on time dilation. Finally, the study outlines some procedural guidelines for young physicists and suggests how academic institutions can become custodians of a central depository of reference data, facilitating future physicists into more efficient and fruitful endeavors. This study offers no challenge to mathematics, which is a pure and exact science. When a physicist is able to have the mathematics represent natural phenomena, then mathematics becomes a necessary tool for our simplified understanding of nature. Eventually all of nature will be reduced to mathematical terms. The challenge presented here is to theoretical mathematics with no proven relationship to natural phenomena.

It s about Time

Author : Alex Duthie Peng
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"It's About Time" presents an introduction to theoretical physics as well as challenges to some of the concepts put forward by theoretical physicists of our time. These scientists have presented such concepts in countless public lectures, highlights of which are compiled here along with a variety of historical data, such as the history of earth time. Also included are short biographies of physicists who have contributed significantly to our knowledge base. To help foster understanding of the related astronomical matters, "It's About Time" includes technical information relating to Newton and Kepler's laws. Technical discussions are appended to the end of each relevant chapter. Furthermore, it offers a credible and significant challenge to Einstein's theories and to the current thinking on time dilation. Finally, the study outlines some procedural guidelines for young physicists and suggests how academic institutions can become custodians of a central depository of reference data, facilitating future physicists into more efficient and fruitful endeavors. This study offers no challenge to mathematics, which is a pure and exact science. When a physicist is able to have the mathematics represent natural phenomena, then mathematics becomes a necessary tool for our simplified understanding of nature. Eventually all of nature will be reduced to mathematical terms. The challenge presented here is to theoretical mathematics with no proven relationship to natural phenomena.

Kant and the Double Government Methodology

Author : Robert E. Butts
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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.

Great Ideas of Modern Mathematics Their Nature and Use

Author : Jagjit Singh
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An explanation of the development and structure of the modern mathematics used in contemporary science

The Nature and Growth of Modern Mathematics

Author : Edna Ernestine Kramer
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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. -- "Wall Street Journal"

Mind and Nature

Author : Hermann Weyl
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Hermann Weyl (1885-1955) was one of the twentieth century's most important mathematicians, as well as a seminal figure in the development of quantum physics and general relativity. He was also an eloquent writer with a lifelong interest in the philosophical implications of the startling new scientific developments with which he was so involved. Mind and Nature is a collection of Weyl's most important general writings on philosophy, mathematics, and physics, including pieces that have never before been published in any language or translated into English, or that have long been out of print. Complete with Peter Pesic's introduction, notes, and bibliography, these writings reveal an unjustly neglected dimension of a complex and fascinating thinker. In addition, the book includes more than twenty photographs of Weyl and his family and colleagues, many of which are previously unpublished. Included here are Weyl's exposition of his important synthesis of electromagnetism and gravitation, which Einstein at first hailed as "a first-class stroke of genius"; two little-known letters by Weyl and Einstein from 1922 that give their contrasting views on the philosophical implications of modern physics; and an essay on time that contains Weyl's argument that the past is never completed and the present is not a point. Also included are two book-length series of lectures, The Open World (1932) and Mind and Nature (1934), each a masterly exposition of Weyl's views on a range of topics from modern physics and mathematics. Finally, four retrospective essays from Weyl's last decade give his final thoughts on the interrelations among mathematics, philosophy, and physics, intertwined with reflections on the course of his rich life.

On the nature and passage of time and 4 D geometry

Author : Samuel K.K. Blankson
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PAPERBACK: In his 10th book on post-relativity philosophy of time, the Ghanaian philosopher argues that all the theories we read about time are useful only for constructing clocks to accord accurately with the earth's regular motions and astronomical features. The many bemusing technical terms employed (like duration between events, sidereal time, solar time, nutation, equinox, earth's rotation, the precession of the equinoxes etc.), were all invented to account for fixed, general and absolute time, running all through the cosmos and the same everywhere. This view of time, however, was abolished by Einstein. He adds that everything we have ever used to reckon time (including atomic time) amounts to mere physical cycles, pulses or oscillations that we count as the units of time---the years, for instance---but they are passing. He has also uncovered Einstein's undoubted snub to 4-D geometry.

Everything in Its Right Place

Author : Joseph Almog
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In Everything in Its Right Place, Joseph Almog develops the unitarian and universalist metaphysics of Spinoza. Spinoza's ground zero thesis is that "Nature is one and all." Everything (including God, mathematics, morals, our own thoughts) finds its place within Spinoza's (capital N) Nature. It is the place that each thing occupies within the grid of Nature-from God on down the cosmic tree of being-that determines its fundamental (lowercase n) nature. For Spinoza, one's nature is determined by one's place in Nature or, in terms of the fundamental axiom of the book-the Nature-unfolding axiom: the nature of x=Nature at x. Almog's reading of Spinoza is distinct in its understanding of the deductive abstractions of part I-II of the Ethics by means of the concrete illustrations of Spinoza's intended subject matter in his political writings, where he tells us directly (i) what Nature is and (ii) how man's nature is not a separate kingdom from the Nature-kingdom but merely an unfolding of it. This leads, as in the Ethics, to a final chapter on what it meant to Spinoza to live in symbiosis with Nature and, therefore, to be one with it-and with God.