The Unity Of Mathematics
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The Unity Of Mathematics
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Author : Birkhauser Verlag AG
language : en
Publisher:
Release Date : 2005
The Unity Of Mathematics written by Birkhauser Verlag AG and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.
The Unity Of Mathematics
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Author : Pavel Etingof
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-05-31
The Unity Of Mathematics written by Pavel Etingof and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-31 with Mathematics categories.
Tribute to the vision and legacy of Israel Moiseevich Gel'fand Written by leading mathematicians, these invited papers reflect the unity of mathematics as a whole, with particular emphasis on the many connections among the fields of geometry, physics, and representation theory Topics include conformal field theory, K-theory, noncommutative geometry, gauge theory, representations of infinite-dimensional Lie algebras, and various aspects of the Langlands program
The Unity Of Mathematics In Plato S Republic
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Author : Theokritos Kouremenos
language : en
Publisher: Franz Steiner Verlag Wiesbaden GmbH
Release Date : 2015
The Unity Of Mathematics In Plato S Republic written by Theokritos Kouremenos and has been published by Franz Steiner Verlag Wiesbaden GmbH this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Mathematics categories.
In his Republic Plato considers grasping the unity of mathematics as the ultimate goal of the mathematical studies in which the future philosopher-rulers must engage before they turn to philosophy. How the unity of mathematics is supposed to be understood is not explained, however. This book argues that Plato conceives of the unity of mathematics in terms of the mutually benefiting links between its branches, just as he conceives of the unity of the state outlined in the Republic in terms of the common benefit for all citizens. Evidence for this view is provided by a discussion of his conception of astronomy as a propedeutic to philosophy, which can be best understood as hinting at a historically possible link between fourth-century-BC astronomy and solid geometry. The monograph also includes a detailed discussion of two well-known stories about Plato: not only he motivated Greek mathematicians to solve a difficult problem in solid geometry with his interpretation of a Delphic oracle given to the inhabitants of the island of Delos but he also posed the question which led to the development of the astronomical theory of homocentric spheres. It is argued that these stories are best understood as fictional episodes in Plato's life, constructed from passages in his works.
Basic Math For Game Development With Unity 3d
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Author : Kelvin Sung
language : en
Publisher: Apress
Release Date : 2019-12-05
Basic Math For Game Development With Unity 3d written by Kelvin Sung and has been published by Apress this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-05 with Computers categories.
Use Unity-based examples to understand fundamental mathematical concepts and see how they are applied when building modern video game functionality. You will gain the theoretical foundation you need, and you will know how to examine and modify an implementation. This book covers points in a 3D Cartesian coordinate system, and then discusses vectors and the details of dot and cross products. Basic mathematical foundations are illustrated through Unity-based example implementations. Also provided are examples showing how the concepts are applied when implementing video game functionality, such as collision support, motion simulations, autonomous behaviors, shadow approximations, and reflection off arbitrary walls. Throughout this book, you learn and examine the concepts and their applications in a game engine. What You Will Learn Understand the basic concepts of points and vectors and their applications in game developmentApply mathematical concepts to modern video game functionality, such as spherical and box collidersImplement autonomous behaviors, including following way points, facing a target, chasing an object, etc. Who This Book is For Beginners, and those interested in the implementation of interactive games, who need a basic mathematical background or a refresher with modern examples
The Unity Of Combinatorics
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Author : Ezra Brown
language : en
Publisher: American Mathematical Soc.
Release Date : 2021-04-05
The Unity Of Combinatorics written by Ezra Brown and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-05 with Education categories.
Combinatorics, or the art and science of counting, is a vibrant and active area of pure mathematical research with many applications. The Unity of Combinatorics succeeds in showing that the many facets of combinatorics are not merely isolated instances of clever tricks but that they have numerous connections and threads weaving them together to form a beautifully patterned tapestry of ideas. Topics include combinatorial designs, combinatorial games, matroids, difference sets, Fibonacci numbers, finite geometries, Pascal's triangle, Penrose tilings, error-correcting codes, and many others. Anyone with an interest in mathematics, professional or recreational, will be sure to find this book both enlightening and enjoyable. Few mathematicians have been as active in this area as Richard Guy, now in his eighth decade of mathematical productivity. Guy is the author of over 300 papers and twelve books in geometry, number theory, graph theory, and combinatorics. In addition to being a life-long number-theorist and combinatorialist, Guy's co-author, Ezra Brown, is a multi-award-winning expository writer. Together, Guy and Brown have produced a book that, in the spirit of the founding words of the Carus book series, is accessible “not only to mathematicians but to scientific workers and others with a modest mathematical background.”
Unity And Disunity And Other Mathematical Essays
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Author : Philip J. Davis
language : en
Publisher: American Mathematical Soc.
Release Date : 2015
Unity And Disunity And Other Mathematical Essays written by Philip J. Davis and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with General -- General and miscellaneous specific topics -- Philosophy of mathematics categories.
This book is a mathematical potpourri. Its material originated in classroom presentations, formal lectures, sections of earlier books, book reviews, or just things written by the author for his own pleasure. Written in a nontechnical fashion, this book expresses the unique vision and attitude of the author towards the role of mathematics in society. It contains observations or incidental remarks on mathematics, its nature, its impacts on education and science and technology, its personalities and philosophies. The book is directed towards the math buffs of the world and, more generally, towards the literate and interested public. Philip Davis is known for his work in numerical analysis and approximation theory, as well as his investigations in the history and philosophy of mathematics. Currently a Professor Emeritus from the Division of Applied Mathematics at Brown University, Davis is known for his books both in the areas of computational mathematics and approximation theory and for books exploring certain questions in the philosophy of mathematics and the role of mathematics in society.
The Unity Of Mathematics
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Author : Pavel Etingof
language : en
Publisher: Birkhäuser
Release Date : 2008-11-01
The Unity Of Mathematics written by Pavel Etingof and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-01 with Mathematics categories.
Tribute to the vision and legacy of Israel Moiseevich Gel'fand Written by leading mathematicians, these invited papers reflect the unity of mathematics as a whole, with particular emphasis on the many connections among the fields of geometry, physics, and representation theory Topics include conformal field theory, K-theory, noncommutative geometry, gauge theory, representations of infinite-dimensional Lie algebras, and various aspects of the Langlands program
A Mathematical Tapestry
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Author : Peter Hilton
language : en
Publisher: Cambridge University Press
Release Date : 2010-07-22
A Mathematical Tapestry written by Peter Hilton and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-22 with Mathematics categories.
This easy-to-read 2010 book demonstrates how a simple geometric idea reveals fascinating connections and results in number theory, the mathematics of polyhedra, combinatorial geometry, and group theory. Using a systematic paper-folding procedure it is possible to construct a regular polygon with any number of sides. This remarkable algorithm has led to interesting proofs of certain results in number theory, has been used to answer combinatorial questions involving partitions of space, and has enabled the authors to obtain the formula for the volume of a regular tetrahedron in around three steps, using nothing more complicated than basic arithmetic and the most elementary plane geometry. All of these ideas, and more, reveal the beauty of mathematics and the interconnectedness of its various branches. Detailed instructions, including clear illustrations, enable the reader to gain hands-on experience constructing these models and to discover for themselves the patterns and relationships they unearth.
The Unity Of The Sciences In Unification Thought Volume Two Math Physics Chemistry
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Author : Richard L. Lewis
language : en
Publisher: Lulu.com
Release Date : 2014-01-04
The Unity Of The Sciences In Unification Thought Volume Two Math Physics Chemistry written by Richard L. Lewis and has been published by Lulu.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-04 with Science categories.
The implications of Unification Thought applied to modern science solving many of the problems that have arisen.
The Unity In The Universe
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Author : Vassil Manev
language : en
Publisher: Xlibris Corporation
Release Date : 2014-06-11
The Unity In The Universe written by Vassil Manev and has been published by Xlibris Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-11 with Science categories.
I was advised to start this book with where I studied and who my teachers where. I’m not going to do that. I am an ordinary person with unordinary thoughts. My autobiography consists of what I’ve done, mainly discoveries combined with theory. This is what you are holding in your hands now, and the incredible applications that follow from them. For many people where they studied and who taught them it is important, but for me it does not matter. Pierre Fermat was educated as a lawyer. In his spare time he was engaged in mathematics and left to mankind a number of mathematical discoveries. Evariste Galois did not even finish high school and was left without a degree because he could not take the Matura exam in mathematics. However, he left humanity almost all modern mathematics. Thomas Edison was almost illiterate, but this did not prevent him from becoming one of the most prolific inventors in his time. At the same time, tens of thousands of scientists work in institutes, leaving piles of books to mankind without any discoveries in them. In their scientific works there are only findings. Most of them are convinced that they do not make any discoveries because everything is already discovered. The truth is quite different. What we know is limited, but what we do not know has NO boundaries. I wrote this book because some omnipotence forced me to do this. My research showed that there are amazing events that are associated with rapid technological and spiritual development and change in the structure of human society. All this will be accompanied by natural cataclysms. Therefore, some biblical texts are misunderstood and misinterpreted. Under these conditions it is impossible to stay calm. Don’t let the mathematical formulas scare you. You can do without them. Read on and you will understand, because it is a theory of reality.