Lectures on the Icosahedron and the Solution of the Fifth Degree

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Publisher : Cosimo, Inc.
ISBN 13 : 1602063060
Total Pages : 310 pages
Book Rating : 4.6/5 (2 download)

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Book Synopsis Lectures on the Icosahedron and the Solution of the Fifth Degree by : Felix Klein

Download or read book Lectures on the Icosahedron and the Solution of the Fifth Degree written by Felix Klein and published by Cosimo, Inc.. This book was released on 2007-01-01 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this classic of mathematical literature, first published in 1884, Felix Klein elegantly demonstrates how the rotation of icosahedron can be used to solve complex quintic equations. Divided into two parts-"Theory of the Icosahedron" and "The Theory of Equations of the Fifth Degree"-The Icosahedron covers: . the regular solids and the theory of groups . introduction of (x + iy) . statement and discussion of the fundamental problem, according to the theory of functions . the algebraical character of the fundamental problem . general theorems and survey of the subject . the historical development of the theory of equations of the fifth degree . introduction of geometrical material . the canonical equations of the fifth degree . the problem of the A's and the Jacobian equations of the sixth degree . the general equation of the fifth degree Complete with detailed equations and instructive material, The Icosahedron will be valued by experts in higher mathematics and students of algebra alike. German mathematician FELIX KLEIN (1849-1925) specialized in function theory, group theory, and non-Euclidean geometry. His published works include Elementary Mathematics from an Advanced Standpoint: Arithmetic, Algebra, Analysis; Elementary Mathematics from an Advanced Standpoint: Geometry; and Famous Problems of Elementary Geometry.

Lectures on the Ikosahedron and the Solution of Equations of the Fifth Degree

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Publisher :
ISBN 13 :
Total Pages : 322 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Lectures on the Ikosahedron and the Solution of Equations of the Fifth Degree by : Felix Klein

Download or read book Lectures on the Ikosahedron and the Solution of Equations of the Fifth Degree written by Felix Klein and published by . This book was released on 1888 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lectures on the Icosahedron and the Solution of Equations of the Fifth Degree

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Author :
Publisher : Courier Corporation
ISBN 13 : 9780486495286
Total Pages : 312 pages
Book Rating : 4.4/5 (952 download)

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Book Synopsis Lectures on the Icosahedron and the Solution of Equations of the Fifth Degree by : Felix Klein

Download or read book Lectures on the Icosahedron and the Solution of Equations of the Fifth Degree written by Felix Klein and published by Courier Corporation. This book was released on 2003-01-01 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This well-known work covers the solution of quintics in terms of the rotations of a regular icosahedron around the axes of its symmetry. Its two-part presentation begins with discussions of the theory of the icosahedron itself; regular solids and theory of groups; introductions of (x + iy); a statement and examination of the fundamental problem, with a view of its algebraic character; and general theorems and a survey of the subject. The second part explores the theory of equations of the fifth degree and their historical development; introduces geometrical material; and covers canonical equations of the fifth degree, the problem of A's and Jacobian equations of the sixth degree, and the general equation of the fifth degree. Second revised edition with additional corrections.

Lectures on the Icosahedron and the Solution of Equations of the Fifth Degree

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Author :
Publisher : Hassell Street Press
ISBN 13 : 9781014234230
Total Pages : 236 pages
Book Rating : 4.2/5 (342 download)

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Book Synopsis Lectures on the Icosahedron and the Solution of Equations of the Fifth Degree by : Felix 1849-1925 Klein

Download or read book Lectures on the Icosahedron and the Solution of Equations of the Fifth Degree written by Felix 1849-1925 Klein and published by Hassell Street Press. This book was released on 2021-09-09 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Vorlesungen Uber Die Theorie For Elliptischen Modulfunctionen

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Publisher : Legare Street Press
ISBN 13 : 9781019616581
Total Pages : 0 pages
Book Rating : 4.6/5 (165 download)

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Book Synopsis Vorlesungen Uber Die Theorie For Elliptischen Modulfunctionen by : Dr Robert Fricke

Download or read book Vorlesungen Uber Die Theorie For Elliptischen Modulfunctionen written by Dr Robert Fricke and published by Legare Street Press. This book was released on 2023-07-18 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fricke's groundbreaking study of the theory of elliptic modular functions is a must-read for anyone interested in the foundations of modern mathematics. With clear explanations and insightful examples, Fricke offers a comprehensive overview of this complex and fascinating subject. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Geometry of the Quintic

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Publisher : John Wiley & Sons
ISBN 13 : 9780471130178
Total Pages : 220 pages
Book Rating : 4.1/5 (31 download)

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Book Synopsis Geometry of the Quintic by : Jerry Michael Shurman

Download or read book Geometry of the Quintic written by Jerry Michael Shurman and published by John Wiley & Sons. This book was released on 1997-01-31 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book helps students at the advanced undergraduate and beginning graduate levels to develop connections between the algebra, geometry, and analysis that they know, and to better appreciate the totality of what they have learned. The text demonstrates the use of general concepts by applying theorems from various areas in the context of one problem - solving the quintic. The problem is approached from two directions: the first is Felix Klein's nineteenth-century approach, using the icosahedron. The second approach presents recent works of Peter Doyle and Curt McMullen, which update Klein's use of transcendental functions to a solution through pure iteration.

Historical Encyclopedia of Natural and Mathematical Sciences

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Publisher : Springer Science & Business Media
ISBN 13 : 3540688315
Total Pages : 6070 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Historical Encyclopedia of Natural and Mathematical Sciences by : Ari Ben-Menahem

Download or read book Historical Encyclopedia of Natural and Mathematical Sciences written by Ari Ben-Menahem and published by Springer Science & Business Media. This book was released on 2009-03-06 with total page 6070 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 5,800-page encyclopedia surveys 100 generations of great thinkers, offering more than 2,000 detailed biographies of scientists, engineers, explorers and inventors who left their mark on the history of science and technology. This six-volume masterwork also includes 380 articles summarizing the time-line of ideas in the leading fields of science, technology, mathematics and philosophy.

Mathematics Of Harmony As A New Interdisciplinary Direction And "Golden" Paradigm Of Modern Science - Volume 1: The Golden Section, Fibonacci Numbers, Pascal Triangle, And Platonic Solids

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Publisher : World Scientific
ISBN 13 : 9811206384
Total Pages : 247 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Mathematics Of Harmony As A New Interdisciplinary Direction And "Golden" Paradigm Of Modern Science - Volume 1: The Golden Section, Fibonacci Numbers, Pascal Triangle, And Platonic Solids by : Alexey Stakhov

Download or read book Mathematics Of Harmony As A New Interdisciplinary Direction And "Golden" Paradigm Of Modern Science - Volume 1: The Golden Section, Fibonacci Numbers, Pascal Triangle, And Platonic Solids written by Alexey Stakhov and published by World Scientific. This book was released on 2020-05-05 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume I is the first part of the 3-volume book Mathematics of Harmony as a New Interdisciplinary Direction and 'Golden' Paradigm of Modern Science. 'Mathematics of Harmony' rises in its origin to the 'harmonic ideas' of Pythagoras, Plato and Euclid, this 3-volume book aims to promote more deep understanding of ancient conception of the 'Universe Harmony,' the main conception of ancient Greek science, and implementation of this conception to modern science and education.This 3-volume book is a result of the authors' 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 many unexpected applications in contemporary mathematics (a new approach to a history of mathematics, the generalized Fibonacci numbers and the generalized golden proportions, the generalized Binet's formulas), theoretical physics (new hyperbolic models of Nature) and computer science (algorithmic measurement theory, number systems with irrational bases, Fibonacci computers, ternary mirror-symmetrical arithmetic).The books are 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.

The Thermodynamics of Electrical Phenomena in Metals, and A Condensed Collection of Thermodynamic Formulas

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Publisher :
ISBN 13 :
Total Pages : 276 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Thermodynamics of Electrical Phenomena in Metals, and A Condensed Collection of Thermodynamic Formulas by : Percy Williams Bridgman

Download or read book The Thermodynamics of Electrical Phenomena in Metals, and A Condensed Collection of Thermodynamic Formulas written by Percy Williams Bridgman and published by . This book was released on 1961 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Space, Time, Matter

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Publisher :
ISBN 13 :
Total Pages : 380 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Space, Time, Matter by : Hermann Weyl

Download or read book Space, Time, Matter written by Hermann Weyl and published by . This book was released on 1922 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Visualizing More Quaternions

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Publisher : Elsevier
ISBN 13 : 0323993907
Total Pages : 602 pages
Book Rating : 4.3/5 (239 download)

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Book Synopsis Visualizing More Quaternions by : Andrew J. Hanson

Download or read book Visualizing More Quaternions written by Andrew J. Hanson and published by Elsevier. This book was released on 2024-07-01 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt: Visualizing More Quaternions, Volume Two updates on proteomics-related material that will be useful for biochemists and biophysicists, including material related to electron microscopy (and specifically cryo-EVisualizing. Dr. Andrew J. Hanson's groundbreaking book updates and extends concepts that have evolved since the first book published in 2005, adding entirely new insights that Dr. Hanson's research has recently developed. This includes the applications of quaternion methods to proteomics and molecular crystallography problems, which are domains with significant current research and application activity.In addition to readers interested in quaternions for their own sake, scientists involved in computer graphics, animation, shape modeling, and scientific visualization, and readers from several other disciplines will benefit from this new volume. Foremost among these, and the target of the first several chapters, are scientists involved in molecular chemistry where techniques based on quaternion eigensystems have become a standard tool for evaluating the quality of shape matching. - Establishes basic principles for visual display of quaternions and their applications. - Explores quaternion based approaches to the matching of point cloud pairs, including approaches to data from orthographic and perspective projections. - Develops extensive applications of quaternion frames to protein orientation analysis. - Analyzes the application of quaternion methods to physics problems ranging from quantum computing to special relativity and gravitational instantons.

Topology, Geometry, Integrable Systems, and Mathematical Physics

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Publisher : American Mathematical Soc.
ISBN 13 : 1470418711
Total Pages : 408 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Topology, Geometry, Integrable Systems, and Mathematical Physics by : V. M. Buchstaber

Download or read book Topology, Geometry, Integrable Systems, and Mathematical Physics written by V. M. Buchstaber and published by American Mathematical Soc.. This book was released on 2014-11-18 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Articles in this collection are devoted to modern problems of topology, geometry, mathematical physics, and integrable systems, and they are based on talks given at the famous Novikov's seminar at the Steklov Institute of Mathematics in Moscow in 2012-2014. The articles cover many aspects of seemingly unrelated areas of modern mathematics and mathematical physics; they reflect the main scientific interests of the organizer of the seminar, Sergey Petrovich Novikov. The volume is suitable for graduate students and researchers interested in the corresponding areas of mathematics and physics.

Lattices and Codes

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Publisher : Springer Science & Business Media
ISBN 13 : 3658003596
Total Pages : 177 pages
Book Rating : 4.6/5 (58 download)

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Book Synopsis Lattices and Codes by : Wolfgang Ebeling

Download or read book Lattices and Codes written by Wolfgang Ebeling and published by Springer Science & Business Media. This book was released on 2013 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of coding theory is the design of efficient systems for the transmission of information. The mathematical treatment leads to certain finite structures: the error-correcting codes. Surprisingly problems which are interesting for the design of codes turn out to be closely related to problems studied partly earlier and independently in pure mathematics. In this book, examples of such connections are presented. The relation between lattices studied in number theory and geometry and error-correcting codes is discussed. The book provides at the same time an introduction to the theory of integral lattices and modular forms and to coding theory. In the 3rd edition, again numerous corrections and improvements have been made and the text has been updated. Content Lattices and Codes -Theta Functions and Weight Enumerators - Even Unimodular Lattices - The Leech Lattice - Lattices over Integers of Number Fields and Self-Dual Codes. Readership Graduate Students in Mathematics and Computer Science Mathematicians and Computer Scientists About the Author Prof. Dr. Wolfgang Ebeling, Institute of Algebraic Geometry, Leibniz Universität Hannover, Germany

Hessian Polyhedra, Invariant Theory And Appell Hypergeometric Functions

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Publisher : World Scientific
ISBN 13 : 9813209496
Total Pages : 317 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Hessian Polyhedra, Invariant Theory And Appell Hypergeometric Functions by : Lei Yang

Download or read book Hessian Polyhedra, Invariant Theory And Appell Hypergeometric Functions written by Lei Yang and published by World Scientific. This book was released on 2018-03-13 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our book gives the complex counterpart of Klein's classic book on the icosahedron. We show that the following four apparently disjoint theories: the symmetries of the Hessian polyhedra (geometry), the resolution of some system of algebraic equations (algebra), the system of partial differential equations of Appell hypergeometric functions (analysis) and the modular equation of Picard modular functions (arithmetic) are in fact dominated by the structure of a single object, the Hessian group $mathfrak{G}’_{216}$. It provides another beautiful example on the fundamental unity of mathematics.

Circles Disturbed

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Publisher : Princeton University Press
ISBN 13 : 1400842689
Total Pages : 593 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Circles Disturbed by : Apostolos Doxiadis

Download or read book Circles Disturbed written by Apostolos Doxiadis and published by Princeton University Press. This book was released on 2012-03-18 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why narrative is essential to mathematics Circles Disturbed brings together important thinkers in mathematics, history, and philosophy to explore the relationship between mathematics and narrative. The book's title recalls the last words of the great Greek mathematician Archimedes before he was slain by a Roman soldier—"Don't disturb my circles"—words that seem to refer to two radically different concerns: that of the practical person living in the concrete world of reality, and that of the theoretician lost in a world of abstraction. Stories and theorems are, in a sense, the natural languages of these two worlds—stories representing the way we act and interact, and theorems giving us pure thought, distilled from the hustle and bustle of reality. Yet, though the voices of stories and theorems seem totally different, they share profound connections and similarities. A book unlike any other, Circles Disturbed delves into topics such as the way in which historical and biographical narratives shape our understanding of mathematics and mathematicians, the development of "myths of origins" in mathematics, the structure and importance of mathematical dreams, the role of storytelling in the formation of mathematical intuitions, the ways mathematics helps us organize the way we think about narrative structure, and much more. In addition to the editors, the contributors are Amir Alexander, David Corfield, Peter Galison, Timothy Gowers, Michael Harris, David Herman, Federica La Nave, G.E.R. Lloyd, Uri Margolin, Colin McLarty, Jan Christoph Meister, Arkady Plotnitsky, and Bernard Teissier.

An Investigation of the Laws of Thought

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Publisher :
ISBN 13 :
Total Pages : 476 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis An Investigation of the Laws of Thought by : George Boole

Download or read book An Investigation of the Laws of Thought written by George Boole and published by . This book was released on 1854 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt:

NBS Special Publication

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Publisher :
ISBN 13 :
Total Pages : 780 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis NBS Special Publication by :

Download or read book NBS Special Publication written by and published by . This book was released on 1970 with total page 780 pages. Available in PDF, EPUB and Kindle. Book excerpt: