Connections The Geometric Bridge Between Art Science 2nd Edition
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Connections The Geometric Bridge Between Art Science 2nd Edition
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Author : Jay Kappraff
language : en
Publisher: World Scientific
Release Date : 2001-11-28
Connections The Geometric Bridge Between Art Science 2nd Edition written by Jay Kappraff and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-11-28 with Mathematics categories.
The first edition of Connections was chosen by the National Association of Publishers (USA) as the best book in “Mathematics, Chemistry, and Astronomy — Professional and Reference” in 1991. It has been a comprehensive reference in design science, bringing together in a single volume material from the areas of proportion in architecture and design, tilings and patterns, polyhedra, and symmetry. The book presents both theory and practice and has more than 750 illustrations. It is suitable for research in a variety of fields and as an aid to teaching a course in the mathematics of design. It has been influential in stimulating the burgeoning interest in the relationship between mathematics and design. In the second edition there are five new sections, supplementary, as well as a new preface describing the advances in design science since the publication of the first edition.
Woods Hole Mathematics Perspectives In Mathematics And Physics
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Author : Robert Clark Penner
language : en
Publisher: World Scientific
Release Date : 2004-12-10
Woods Hole Mathematics Perspectives In Mathematics And Physics written by Robert Clark Penner and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-12-10 with Science categories.
The central theme of this volume is the contemporary mathematics of geometry and physics, but the work also discusses the problem of the secondary structure of proteins, and an overview of arc complexes with proposed applications to macromolecular folding is given.”Woods Hole has played such a vital role in both my mathematical and personal life that it is a great pleasure to see the mathematical tradition of the 1964 meeting resurrected forty years later and, as this volume shows, resurrected with new vigor and hopefully on a regular basis. I therefore consider it a signal honor to have been asked to introduce this volume with a few reminiscences of that meeting forty years ago.” Introduction by R Bott (Wolf Prize Winner, 2000).
Golden Non Euclidean Geometry The Hilbert S Fourth Problem Golden Dynamical Systems And The Fine Structure Constant
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Author : Alexey Stakhov
language : en
Publisher: World Scientific
Release Date : 2016-07-14
Golden Non Euclidean Geometry The Hilbert S Fourth Problem Golden Dynamical Systems And The Fine Structure Constant written by Alexey Stakhov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-14 with Mathematics categories.
This unique book overturns our ideas about non-Euclidean geometry and the fine-structure constant, and attempts to solve long-standing mathematical problems. It describes a general theory of 'recursive' hyperbolic functions based on the 'Mathematics of Harmony,' and the 'golden,' 'silver,' and other 'metallic' proportions. Then, these theories are used to derive an original solution to Hilbert's Fourth Problem for hyperbolic and spherical geometries. On this journey, the book describes the 'golden' qualitative theory of dynamical systems based on 'metallic' proportions. Finally, it presents a solution to a Millennium Problem by developing the Fibonacci special theory of relativity as an original physical-mathematical solution for the fine-structure constant. It is intended for a wide audience who are interested in the history of mathematics, non-Euclidean geometry, Hilbert's mathematical problems, dynamical systems, and Millennium Problems.See Press Release: Application of the mathematics of harmony - Golden non-Euclidean geometry in modern math
Geometry Language And Strategy
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Author : Gerald H. Thomas
language : en
Publisher: World Scientific
Release Date : 2006
Geometry Language And Strategy written by Gerald H. Thomas and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.
Geometry, Language and Strategy is a way of looking at game theory or strategic decision-making from a scientific perspective, using standard equations from the fields of engineering and physics. To better approximate reality, it extends game theory beyond the two-player set piece. The book begins where former game theory literature ends OCo with multi-person games on a world stage. It encompasses many of the variables encountered in strategic planning, using mathematics borrowed from physics and engineering, rather than the economic models which have not proven to be good in predicting reality. Sample Chapter(s). Chapter 1: Introduction (1,364 KB). Contents: Rules-of-the-Game; Flow of Strategic-Mass; Game Symmetries; Analysis; Graphical Presentation; Applications and Open Problems; Appendices: Thermodynamics; Symmetry in Differential Geometry; Central Strategies; Single Strategy Model; Single Strategy Numerical Solutions; Streamlines; Player Fluid. Readership: Mathematicians and scientists who wish to broaden their understanding of economic possibilities using game theory."
Bios A Study Of Creation With Cd Rom
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Author : Hector Sabelli
language : en
Publisher: World Scientific
Release Date : 2005-03-03
Bios A Study Of Creation With Cd Rom written by Hector Sabelli and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-03-03 with Science categories.
This book focuses on a prototype of creative causal processes termed BIOS and how the concept can be applied to the physical world, in medicine and in social science. This book presents methods for identifying creative features in empirical data; studies showing biotic patterns in physical, biological, and economic processes; mathematical models of bipolar (positive and negative) feedback that generate biotic patterns. These studies support the hypothesis that natural processes are creative (not determined) and causal (not random) and that bipolar feedback plays a major role in their evolution. Simple processes precede, coexist, constitute and surround the complex systems they generate (priority of the simple). In turn, complex processes feedback and transform simpler ones (supremacy of the complex).
Physical And Numerical Models In Knot Theory
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Author : Jorge Alberto Calvo
language : en
Publisher: World Scientific
Release Date : 2005
Physical And Numerical Models In Knot Theory written by Jorge Alberto Calvo and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
The physical properties of knotted and linked configurations in space have long been of interest to mathematicians. More recently, these properties have become significant to biologists, physicists, and engineers among others. Their depth of importance and breadth of application are now widely appreciated and valuable progress continues to be made each year.This volume presents several contributions from researchers using computers to study problems that would otherwise be intractable. While computations have long been used to analyze problems, formulate conjectures, and search for special structures in knot theory, increased computational power has made them a staple in many facets of the field. The volume also includes contributions concentrating on models researchers use to understand knotting, linking, and entanglement in physical and biological systems. Topics include properties of knot invariants, knot tabulation, studies of hyperbolic structures, knot energies, the exploration of spaces of knots, knotted umbilical cords, studies of knots in DNA and proteins, and the structure of tight knots. Together, the chapters explore four major themes: physical knot theory, knot theory in the life sciences, computational knot theory, and geometric knot theory.
Topological Library Part 1 Cobordisms And Their Applications
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Author : Serguei Petrovich Novikov
language : en
Publisher: World Scientific
Release Date : 2007-07-09
Topological Library Part 1 Cobordisms And Their Applications written by Serguei Petrovich Novikov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-07-09 with Mathematics categories.
This is the first of three volumes collecting the original and now classic works in topology written in the 50s-60s. The original methods and constructions from these works are properly documented for the first time in this book. No existing book covers the beautiful ensemble of methods created in topology starting from approximately 1950, that is, from Serre's celebrated “Singular homologies of fibre spaces.”This is the translation of the Russian edition published in 2005 with one entry (Milnor's lectures on the h-cobordism) omitted.
Algebraic Invariants Of Links 2nd Edition
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Author : Jonathan Hillman
language : en
Publisher: World Scientific
Release Date : 2012-06-15
Algebraic Invariants Of Links 2nd Edition written by Jonathan Hillman and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-15 with Mathematics categories.
This book serves as a reference on links and on the invariants derived via algebraic topology from covering spaces of link exteriors. It emphasizes the features of the multicomponent case not normally considered by knot-theorists, such as longitudes, the homological complexity of many-variable Laurent polynomial rings, the fact that links are not usually boundary links, free coverings of homology boundary links, the lower central series as a source of invariants, nilpotent completion and algebraic closure of the link group, and disc links. Invariants of the types considered here play an essential role in many applications of knot theory to other areas of topology.This second edition introduces two new chapters — twisted polynomial invariants and singularities of plane curves. Each replaces brief sketches in the first edition. Chapter 2 has been reorganized, and new material has been added to four other chapters.
Topological Library
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Author : Sergeĭ Petrovich Novikov
language : en
Publisher: World Scientific
Release Date : 2010
Topological Library written by Sergeĭ Petrovich Novikov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
1. On manifolds homeomorphic to the 7-sphere / J. Milnor -- 2. Groups of homotopy spheres. I / M. Kervaire and J. Milnor -- 3. Homotopically equivalent smooth manifolds / S.P. Novikov -- 4. Rational Pontrjagin classes. Homeomorphism and homotopy type of closed manifolds / S.P. Novikov -- 5. On manifolds with free abelian fundamental group and their applications (Pontrjagin classes, smooth structures, high-dimensional knots) / S.P. Novikov -- 6. Stable homeomorphisms and the annulus conjecture / R. Kirby
Mathematics Of Harmony From Euclid To Contemporary Mathematics And Computer Science
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Author : Alexey Stakhov
language : en
Publisher: World Scientific
Release Date : 2009-09-11
Mathematics Of Harmony From Euclid To Contemporary Mathematics And Computer Science written by Alexey Stakhov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-11 with Mathematics categories.
Assisted by Scott Olsen (Central Florida Community College, USA) This volume is a result of the author's four decades of research in the field of Fibonacci numbers and the Golden Section and their applications. It provides a broad introduction to the fascinating and beautiful subject of the “Mathematics of Harmony,” a new interdisciplinary direction of modern science. This direction has its origins in “The Elements” of Euclid and has many unexpected applications in contemporary mathematics (a new approach to a history of mathematics, the generalized Fibonacci numbers and the generalized golden proportions, the “golden” algebraic equations, the generalized Binet formulas, Fibonacci and “golden” matrices), theoretical physics (new hyperbolic models of Nature) and computer science (algorithmic measurement theory, number systems with irrational radices, Fibonacci computers, ternary mirror-symmetrical arithmetic, a new theory of coding and cryptography based on the Fibonacci and “golden” matrices).The book is intended for a wide audience including mathematics teachers of high schools, students of colleges and universities and scientists in the field of mathematics, theoretical physics and computer science. The book may be used as an advanced textbook by graduate students and even ambitious undergraduates in mathematics and computer science.