The Shape Of Space How To Visualize Surfaces And Three Dimensional Menifolds
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The Shape Of Space
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Author : Jeffrey R. Weeks
language : en
Publisher: Marcel Dekker
Release Date : 1985
The Shape Of Space written by Jeffrey R. Weeks and has been published by Marcel Dekker this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Mathematics categories.
The Shape of Space brings topology to the general reader by showing how to visualize manifolds directly ... complements existing textbooks, which often deal only in abstractions, by offering a wealth of concrete examples ... includes the first elementary exposition of William P. Thurston's revolutionary discoveries ... applies topology to cosmology ... gives the first simple pictorial exposition of the Gauss-Bonnet formula ... builds intuition with more than 140 hands-on exercises, all with complete solutions ... and offers over 170 illustrations. An annotated bibliography lists useful references for further study on specific topics.
The Shape Of Space
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Author : Jeffrey R. Weeks
language : en
Publisher:
Release Date : 1985
The Shape Of Space written by Jeffrey R. Weeks and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.
The Shape Of Space
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Author : Jeffrey R. Weeks
language : en
Publisher: CRC Press
Release Date : 2001-12-12
The Shape Of Space written by Jeffrey R. Weeks and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-12-12 with Mathematics categories.
Maintaining the standard of excellence set by the previous edition, this textbook covers the basic geometry of two- and three-dimensional spaces Written by a master expositor, leading researcher in the field, and MacArthur Fellow, it includes experiments to determine the true shape of the universe and contains illustrated examples and engaging exercises that teach mind-expanding ideas in an intuitive and informal way. Bridging the gap from geometry to the latest work in observational cosmology, the book illustrates the connection between geometry and the behavior of the physical universe and explains how radiation remaining from the big bang may reveal the actual shape of the universe.
Shape Of Space
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Author : JEFFREY R. WEEKS
language : en
Publisher:
Release Date : 2019
Shape Of Space written by JEFFREY R. WEEKS and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with categories.
The Shape Of Space
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Author : Jeffrey R. Weeks
language : en
Publisher:
Release Date : 1998
The Shape Of Space written by Jeffrey R. Weeks and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.
The Shape Of Space How To Visualize Surfaces And Three Dimensional Menifolds
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Author : Jeffrey R. Weeks
language : en
Publisher:
Release Date : 1985
The Shape Of Space How To Visualize Surfaces And Three Dimensional Menifolds written by Jeffrey R. Weeks and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.
Elements Of The Geometry And Topology Of Minimal Surfaces In Three Dimensional Space
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Author : A. T. Fomenko
language : en
Publisher: American Mathematical Soc.
Release Date : 2005
Elements Of The Geometry And Topology Of Minimal Surfaces In Three Dimensional Space written by A. T. Fomenko 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 2005 with Mathematics categories.
This book grew out of lectures presented to students of mathematics, physics, and mechanics by A. T. Fomenko at Moscow University, under the auspices of the Moscow Mathematical Society. The book describes modern and visual aspects of the theory of minimal, two-dimensional surfaces in three-dimensional space. The main topics covered are: topological properties of minimal surfaces, stable and unstable minimal films, classical examples, the Morse-Smale index of minimal two-surfaces in Euclidean space, and minimal films in Lobachevskian space. Requiring only a standard first-year calculus and elementary notions of geometry, this book brings the reader rapidly into this fascinating branch of modern geometry.
Quaternions And Rotation Sequences
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Author : J. B. Kuipers
language : en
Publisher: Princeton University Press
Release Date : 2020-03-31
Quaternions And Rotation Sequences written by J. B. Kuipers and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-31 with Mathematics categories.
Ever since the Irish mathematician William Rowan Hamilton introduced quaternions in the nineteenth century--a feat he celebrated by carving the founding equations into a stone bridge--mathematicians and engineers have been fascinated by these mathematical objects. Today, they are used in applications as various as describing the geometry of spacetime, guiding the Space Shuttle, and developing computer applications in virtual reality. In this book, J. B. Kuipers introduces quaternions for scientists and engineers who have not encountered them before and shows how they can be used in a variety of practical situations. The book is primarily an exposition of the quaternion, a 4-tuple, and its primary application in a rotation operator. But Kuipers also presents the more conventional and familiar 3 x 3 (9-element) matrix rotation operator. These parallel presentations allow the reader to judge which approaches are preferable for specific applications. The volume is divided into three main parts. The opening chapters present introductory material and establish the book's terminology and notation. The next part presents the mathematical properties of quaternions, including quaternion algebra and geometry. It includes more advanced special topics in spherical trigonometry, along with an introduction to quaternion calculus and perturbation theory, required in many situations involving dynamics and kinematics. In the final section, Kuipers discusses state-of-the-art applications. He presents a six degree-of-freedom electromagnetic position and orientation transducer and concludes by discussing the computer graphics necessary for the development of applications in virtual reality.
Problems And Examples In Differential Equations
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Author : Piotr Biler
language : en
Publisher: CRC Press
Release Date : 2020-08-11
Problems And Examples In Differential Equations written by Piotr Biler and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-11 with Mathematics categories.
This book presents original problems from graduate courses in pure and applied mathematics and even small research topics, significant theorems and information on recent results. It is helpful for specialists working in differential equations.
The Proof Stage
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Author : Stephen Abbott
language : en
Publisher: Princeton University Press
Release Date : 2023-07-11
The Proof Stage written by Stephen Abbott and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-11 with Performing Arts categories.
How playwrights from Alfred Jarry and Samuel Beckett to Tom Stoppard and Simon McBurney brought the power of abstract mathematics to the human stage The discovery of alternate geometries, paradoxes of the infinite, incompleteness, and chaos theory revealed that, despite its reputation for certainty, mathematical truth is not immutable, perfect, or even perfectible. Beginning in the last century, a handful of adventurous playwrights took inspiration from the fractures of modern mathematics to expand their own artistic boundaries. Originating in the early avant-garde, mathematics-infused theater reached a popular apex in Tom Stoppard’s 1993 play Arcadia. In The Proof Stage, mathematician Stephen Abbott explores this unlikely collaboration of theater and mathematics. He probes the impact of mathematics on such influential writers as Alfred Jarry, Samuel Beckett, Bertolt Brecht, and Stoppard, and delves into the life and mathematics of Alan Turing as they are rendered onstage. The result is an unexpected story about the mutually illuminating relationship between proofs and plays—from Euclid and Euripides to Gödel and Godot. Theater is uniquely poised to discover the soulful, human truths embedded in the austere theorems of mathematics, but this is a difficult feat. It took Stoppard twenty-five years of experimenting with the creative possibilities of mathematics before he succeeded in making fractal geometry and chaos theory integral to Arcadia’s emotional arc. In addition to charting Stoppard’s journey, Abbott examines the post-Arcadia wave of ambitious works by Michael Frayn, David Auburn, Simon McBurney, Snoo Wilson, John Mighton, and others. Collectively, these gifted playwrights transform the great philosophical upheavals of mathematics into profound and sometimes poignant revelations about the human journey.