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Mathematics And The Physical World
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Book Synopsis Mathematics and the Physical World by : Morris Kline
Download or read book Mathematics and the Physical World written by Morris Kline and published by Courier Corporation. This book was released on 2012-03-15 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stimulating account of development of mathematics from arithmetic, algebra, geometry and trigonometry, to calculus, differential equations, and non-Euclidean geometries. Also describes how math is used in optics, astronomy, and other phenomena.
Book Synopsis The Physical World by : Nicholas Manton
Download or read book The Physical World written by Nicholas Manton and published by Oxford University Press. This book was released on 2017 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: "It is over half a century since The Feynman lectures on physics were published. A new authoritative account of fundamental physics covering all branches of the subject is now well overdue. The physical world has been written to satisfy this need."--Back cover.
Book Synopsis Our Mathematical Universe by : Max Tegmark
Download or read book Our Mathematical Universe written by Max Tegmark and published by Vintage. This book was released on 2015-02-03 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: Max Tegmark leads us on an astonishing journey through past, present and future, and through the physics, astronomy and mathematics that are the foundation of his work, most particularly his hypothesis that our physical reality is a mathematical structure and his theory of the ultimate multiverse. In a dazzling combination of both popular and groundbreaking science, he not only helps us grasp his often mind-boggling theories, but he also shares with us some of the often surprising triumphs and disappointments that have shaped his life as a scientist. Fascinating from first to last—this is a book that has already prompted the attention and admiration of some of the most prominent scientists and mathematicians.
Book Synopsis Topics in Physical Mathematics by : Kishore Marathe
Download or read book Topics in Physical Mathematics written by Kishore Marathe and published by Springer Science & Business Media. This book was released on 2010-08-09 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: As many readers will know, the 20th century was a time when the fields of mathematics and the sciences were seen as two separate entities. Caused by the rapid growth of the physical sciences and an increasing abstraction in mathematical research, each party, physicists and mathematicians alike, suffered a misconception; not only of the opposition’s theoretical underpinning, but of how the two subjects could be intertwined and effectively utilized. One sub-discipline that played a part in the union of the two subjects is Theoretical Physics. Breaking it down further came the fundamental theories, Relativity and Quantum theory, and later on Yang-Mills theory. Other areas to emerge in this area are those derived from the works of Donaldson, Chern-Simons, Floer-Fukaya, and Seiberg-Witten. Aimed at a wide audience, Physical Topics in Mathematics demonstrates how various physical theories have played a crucial role in the developments of Mathematics and in particular, Geometric Topology. Issues are studied in great detail, and the book steadfastly covers the background of both Mathematics and Theoretical Physics in an effort to bring the reader to a deeper understanding of their interaction. Whilst the world of Theoretical Physics and Mathematics is boundless; it is not the intention of this book to cover its enormity. Instead, it seeks to lead the reader through the world of Physical Mathematics; leaving them with a choice of which realm they wish to visit next.
Book Synopsis Mathematics in Western Culture by : Morris Kline
Download or read book Mathematics in Western Culture written by Morris Kline and published by Oxford University Press. This book was released on 1964-12-31 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a remarkably fine account of the influences mathematics has exerted on the development of philosophy, the physical sciences, religion, and the arts in Western life.
Download or read book Are Numbers Real? written by Brian Clegg and published by Macmillan. This book was released on 2016-12-06 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents an accessible, in-depth look at the history of numbers and their applications in life and science, from math's surreal presence in the virtual world to the debates about the role of math in science.
Book Synopsis The Nature of the Physical World by : Arthur Stanley Eddington
Download or read book The Nature of the Physical World written by Arthur Stanley Eddington and published by DigiCat. This book was released on 2022-08-16 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: DigiCat Publishing presents to you this special edition of "The Nature of the Physical World" by Arthur Stanley Eddington. DigiCat Publishing considers every written word to be a legacy of humankind. Every DigiCat book has been carefully reproduced for republishing in a new modern format. The books are available in print, as well as ebooks. DigiCat hopes you will treat this work with the acknowledgment and passion it deserves as a classic of world literature.
Book Synopsis Mathematics, the Loss of Certainty by : Morris Kline
Download or read book Mathematics, the Loss of Certainty written by Morris Kline and published by . This book was released on 2009 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Conscious Mind in the Physical World by : E.J Squires
Download or read book Conscious Mind in the Physical World written by E.J Squires and published by CRC Press. This book was released on 1990-01-01 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: We have seen remarkable progress in our detailed understanding of the physical world, from the smallest constituents of atoms to the remotest distances seen by telescopes. However, we have yet to explore the phenomenon of consciousness. Can physical things be conscious or is consciousness something else, forever outside the range of physics? And how does consciousness interact with physical things? A lively account of quantum theory and its puzzles, Conscious Mind in the Physical World examines two developments in particular that have altered the context of discussions about consciousness. One is computer technology, which allows us to make machines that can calculate at speeds far greater than the human brain, while the other is the study of the microscopic world. The book explores philosophical issues such as idealism and free will and speculates on the relationship of consciousness to quantum mechanics. This resource will stimulate physicists with an interest in philosophy, philosophers interested in physics, and anyone fascinated about the waking state of the mind.
Book Synopsis Mathematics and the Natural Sciences by : Francis Bailly
Download or read book Mathematics and the Natural Sciences written by Francis Bailly and published by World Scientific. This book was released on 2011-03-04 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book identifies the organizing concepts of physical and biological phenomena by an analysis of the foundations of mathematics and physics. Our aim is to propose a dialog between different conceptual universes and thus to provide a unification of phenomena. The role of “order” and symmetries in the foundations of mathematics is linked to the main invariants and principles, among them the geodesic principle (a consequence of symmetries), which govern and confer unity to various physical theories. Moreover, an attempt is made to understand causal structures, a central element of physical intelligibility, in terms of both symmetries and symmetry breakings. A distinction between the principles of (conceptual) construction and of proofs, both in physics and in mathematics, guides most of the work. The importance of mathematical tools is also highlighted to clarify differences in the models for physics and biology that are proposed by continuous and discrete mathematics, such as computational simulations. Since biology is particularly complex and not as well understood at a theoretical level, we propose a “unification by concepts” which in any case should precede mathematization. This constitutes an outline for unification also based on highlighting conceptual differences, complex points of passage and technical irreducibilities of one field to another. Indeed, we suppose here a very common monist point of view, namely the view that living objects are “big bags of molecules”. The main question though is to understand which “theory” can help better understand these bags of molecules. They are, indeed, rather “singular”, from the physical point of view. Technically, we express this singularity through the concept of “extended criticality”, which provides a logical extension of the critical transitions that are known in physics. The presentation is mostly kept at an informal and conceptual level. Contents:Mathematical Concepts and Physical ObjectsIncompleteness and Indetermination in Mathematics and PhysicsSpace and Time from Physics to BiologyInvariances, Symmetries, and Symmetry BreakingsCauses and Symmetries: The Continuum and the Discrete in Mathematical ModelingExtended Criticality: The Physical Singularity of Life PhenomenaRandomness and Determination in the Interplay between the Continuum and the DiscreteConclusion: Unification and Separation of Theories, or the Importance of Negative Results Readership: Graduate students and professionals in the fields of natural sciences, biology, computer science, mathematics, and physics. Keywords:Foundations of Mathematics and of Physics;Epistemology;Theoretical BiologyKey Features:This book is an epistemological reflection carried out by two working scientists, a physicist and a mathematician, who focus on biology. They first address a comparative analysis of the founding principles of their own disciplines. On the grounds of a three-fold blend, they then introduce a unique proposal, which does not passively transfer the paradigms of the first two theoretically well-established disciplines, to suggest a novel theoretical framework for the third discipline
Book Synopsis Useful Mathematical and Physical Formulae by : Matthew Watkins
Download or read book Useful Mathematical and Physical Formulae written by Matthew Watkins and published by Bloomsbury Publishing USA. This book was released on 2001-04-01 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collected in this book are commonly used formulae for studies such as quadratics, calculus and trigonometry; in addition are simplified explanations of Newton's Laws of Gravity and Snell's Laws of Refraction. A glossary, a table of mathematical and physical constants, and a listing of Imperial and Metric conversions is also included.
Book Synopsis Pi (π) in Nature, Art, and Culture by : Marcel Danesi
Download or read book Pi (π) in Nature, Art, and Culture written by Marcel Danesi and published by BRILL. This book was released on 2020-12-07 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Pi (π) in Nature, Art, and Culture Marcel Danesi investigates the manifestations of π in science, nature, symbolism, and culture, arguing that these are intrinsically intertwined.
Book Synopsis Mathematics and the Real World by : Zvi Artstein
Download or read book Mathematics and the Real World written by Zvi Artstein and published by Prometheus Books. This book was released on 2014-09-02 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this accessible and illuminating study of how the science of mathematics developed, a veteran math researcher and educator looks at the ways in which our evolutionary makeup is both a help and a hindrance to the study of math. Artstein chronicles the discovery of important mathematical connections between mathematics and the real world from ancient times to the present. The author then describes some of the contemporary applications of mathematics—in probability theory, in the study of human behavior, and in combination with computers, which give mathematics unprecedented power. The author concludes with an insightful discussion of why mathematics, for most people, is so frustrating. He argues that the rigorous logical structure of math goes against the grain of our predisposed ways of thinking as shaped by evolution, presumably because the talent needed to cope with logical mathematics gave the human race as a whole no evolutionary advantage. With this in mind, he offers ways to overcome these innate impediments in the teaching of math.
Book Synopsis Mathematics for the Nonmathematician by : Morris Kline
Download or read book Mathematics for the Nonmathematician written by Morris Kline and published by Courier Corporation. This book was released on 2013-04-15 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: Erudite and entertaining overview follows development of mathematics from ancient Greeks to present. Topics include logic and mathematics, the fundamental concept, differential calculus, probability theory, much more. Exercises and problems.
Book Synopsis Mathematics of Physics and Engineering by : Edward K. Blum
Download or read book Mathematics of Physics and Engineering written by Edward K. Blum and published by World Scientific. This book was released on 2006 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at scientists and engineers, this book is an exciting intellectual journey through the mathematical worlds of Euclid, Newton, Maxwell, Einstein, and Schrodinger-Dirac.While similar books present the required mathematics in a piecemeal manner with tangential references to the relevant physics and engineering, this textbook serves the interdisciplinary needs of engineers, scientists and applied mathematicians by unifying the mathematics and physics into a single systematic body of knowledge but preserving the rigorous logical development of the mathematics.The authors take an unconventional approach by integrating the mathematics with its motivating physical phenomena and, conversely, by showing how the mathematical models predict new physical phenomena.
Book Synopsis Is God a Mathematician? by : Mario Livio
Download or read book Is God a Mathematician? written by Mario Livio and published by Simon and Schuster. This book was released on 2011-02-22 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bestselling author and astrophysicist Mario Livio examines the lives and theories of history’s greatest mathematicians to ask how—if mathematics is an abstract construction of the human mind—it can so perfectly explain the physical world. Nobel Laureate Eugene Wigner once wondered about “the unreasonable effectiveness of mathematics” in the formulation of the laws of nature. Is God a Mathematician? investigates why mathematics is as powerful as it is. From ancient times to the present, scientists and philosophers have marveled at how such a seemingly abstract discipline could so perfectly explain the natural world. More than that—mathematics has often made predictions, for example, about subatomic particles or cosmic phenomena that were unknown at the time, but later were proven to be true. Is mathematics ultimately invented or discovered? If, as Einstein insisted, mathematics is “a product of human thought that is independent of experience,” how can it so accurately describe and even predict the world around us? Physicist and author Mario Livio brilliantly explores mathematical ideas from Pythagoras to the present day as he shows us how intriguing questions and ingenious answers have led to ever deeper insights into our world. This fascinating book will interest anyone curious about the human mind, the scientific world, and the relationship between them.
Book Synopsis Descartes' Dream by : Philip J. Davis
Download or read book Descartes' Dream written by Philip J. Davis and published by Courier Corporation. This book was released on 2005-01-01 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: These provocative essays take a modern look at the 17th-century thinker's dream, examining the influences of mathematics on society, particularly in light of technological advances. They survey the conditions that elicit the application of mathematic principles; the applications' effectiveness; and how applied mathematics transform perceptions of reality. 1987 edition.
