Matter Imagination And Geometry
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Matter Imagination And Geometry
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Author : Dmitri Nikulin
language : en
Publisher:
Release Date : 2017
Matter Imagination And Geometry written by Dmitri Nikulin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Electronic books categories.
"This title was first published in 2002: This text considers the applicability of mathematics to the study of natural phenomena. The possibility of such an application is one of the fundamental assumptions underlying the enormous theoretical and practical success of modern science. Addressing problems of matter, substance, infinity, number, structure of cognitive faculties, imagination, and of construction and mathematical object, Dmitri Nikulin examines mathematical (geometrical) objects in their relation to geometrical or intelligible matter and to imagination. Exploring questions in the history of philosophy and science of late antiquity and early modernity, the key thinkers of focus are Plotinus and Descartes (with the occasional appearance of Plato, Aristotle, Euclid, Proclus, Newton and others), in whom the fundamental presuppositions of ripe antiquity and of early modernity find their definite expression."--Provided by publisher.
Matter Imagination And Geometry
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Author : Dmitriĭ Vladimirovich Nikulin
language : en
Publisher: Ashgate Publishing
Release Date : 2002
Matter Imagination And Geometry written by Dmitriĭ Vladimirovich Nikulin and has been published by Ashgate Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Philosophy categories.
"This book considers conditions of applicability of mathematics to the study of natural phenomena. The possibility of such an application is one of the fundamental assumptions underlying the enormous theoretical and practical success of modern science. Addressing problems of matter, substance, infinity, number, structure of cognitive faculties, imagination, and of construction of mathematical object, Dmitri Nikulin examines mathematical (geometrical) objects in their relation to geometrical or intelligible matter and to imagination. The author explores questions in the history of philosophy and science, particularly in late antiquity and early modernity. The focus is on key thinkers Plotinus and Descartes (with the occasional appearance of Plato, Aristotle, Euclid, Proclus, Newton and others), in whom the fundamental presuppositions of ripe antiquity and of early modernity find their definite expression."--BOOK JACKET.Title Summary field provided by Blackwell North America, Inc. All Rights Reserved
Matter Imagination And Geometry
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Author : Dmitri Nikulin
language : en
Publisher: Routledge
Release Date : 2017-12-15
Matter Imagination And Geometry written by Dmitri Nikulin and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-15 with categories.
This title was first published in 2002: This text considers the applicability of mathematics to the study of natural phenomena. The possibility of such an application is one of the fundamental assumptions underlying the enormous theoretical and practical success of modern science. Addressing problems of matter, substance, infinity, number, structure of cognitive faculties, imagination, and of construction and mathematical object, Dmitri Nikulin examines mathematical (geometrical) objects in their relation to geometrical or intelligible matter and to imagination. Exploring questions in the history of philosophy and science of late antiquity and early modernity, the key thinkers of focus are Plotinus and Descartes (with the occasional appearance of Plato, Aristotle, Euclid, Proclus, Newton and others), in whom the fundamental presuppositions of ripe antiquity and of early modernity find their definite expression.
Geometry And The Imagination
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Author : D. Hilbert
language : en
Publisher: American Mathematical Soc.
Release Date : 2021-03-17
Geometry And The Imagination written by D. Hilbert 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 2021-03-17 with Education categories.
This remarkable book has endured as a true masterpiece of mathematical exposition. There are few mathematics books that are still so widely read and continue to have so much to offer—even after more than half a century has passed! The book is overflowing with mathematical ideas, which are always explained clearly and elegantly, and above all, with penetrating insight. It is a joy to read, both for beginners and experienced mathematicians. “Hilbert and Cohn-Vossen” is full of interesting facts, many of which you wish you had known before. It's also likely that you have heard those facts before, but surely wondered where they could be found. The book begins with examples of the simplest curves and surfaces, including thread constructions of certain quadrics and other surfaces. The chapter on regular systems of points leads to the crystallographic groups and the regular polyhedra in R 3 R3. In this chapter, they also discuss plane lattices. By considering unit lattices, and throwing in a small amount of number theory when necessary, they effortlessly derive Leibniz's series: π/4=1−1/3+1/5−1/7+−… π/4=1−1/3+1/5−1/7+−…. In the section on lattices in three and more dimensions, the authors consider sphere-packing problems, including the famous Kepler problem. One of the most remarkable chapters is “Projective Configurations”. In a short introductory section, Hilbert and Cohn-Vossen give perhaps the most concise and lucid description of why a general geometer would care about projective geometry and why such an ostensibly plain setup is truly rich in structure and ideas. Here, we see regular polyhedra again, from a different perspective. One of the high points of the chapter is the discussion of Schlafli's Double-Six, which leads to the description of the 27 lines on the general smooth cubic surface. As is true throughout the book, the magnificent drawings in this chapter immeasurably help the reader. A particularly intriguing section in the chapter on differential geometry is Eleven Properties of the Sphere. Which eleven properties of such a ubiquitous mathematical object caught their discerning eye and why? Many mathematicians are familiar with the plaster models of surfaces found in many mathematics departments. The book includes pictures of some of the models that are found in the Göttingen collection. Furthermore, the mysterious lines that mark these surfaces are finally explained! The chapter on kinematics includes a nice discussion of linkages and the geometry of configurations of points and rods that are connected and, perhaps, constrained in some way. This topic in geometry has become increasingly important in recent times, especially in applications to robotics. This is another example of a simple situation that leads to a rich geometry. It would be hard to overestimate the continuing influence Hilbert-Cohn-Vossen's book has had on mathematicians of this century. It surely belongs in the “pantheon” of great mathematics books.
Imagination And Art Explorations In Contemporary Theory
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Author : Keith Moser
language : en
Publisher: BRILL
Release Date : 2020-07-27
Imagination And Art Explorations In Contemporary Theory written by Keith Moser and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-27 with Philosophy categories.
This transdisciplinary project represents the most comprehensive study of imagination to date. The eclectic group of international scholars who comprise Imagination and Art propose bold and innovative theoretical frameworks for (re-) conceptualizing imagination in all of its divergent forms.
Geometry In Condensed Matter Physics
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Author : J. F. Sadoc
language : en
Publisher: World Scientific
Release Date : 1990
Geometry In Condensed Matter Physics written by J. F. Sadoc and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Science categories.
The subject of geometry has become an important ingredient in condensed matter physics. It appears not only to describe, but also to explain structures and their properties. There are two aspects to using geometry: the visual and intuitive understanding, which fosters an immediate grasp of the objects one studies, and the abstract tendency so well developed in the Riemannian manifold theory. Both aspects contribute to the same understanding when they are applied to the main problems occurring in condensed matter sciences. Sophisticated structures found in nature appear naturally as the result of simple constraints which are presented in geometrical terms. Blue phases, amorphous and glassy materials, Frank and Kasper Metals, quasi-crystals are approached in their complexity, using the simple principles of geometry. The relation between biology and liquid crystal sciences, the physics of membranes is a fundamental aspect presented in this book.
Geometry
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Author : Israel M. Gelfand
language : en
Publisher: Springer Nature
Release Date : 2020-02-22
Geometry written by Israel M. Gelfand and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-22 with Mathematics categories.
This text is the fifth and final in the series of educational books written by Israel Gelfand with his colleagues for high school students. These books cover the basics of mathematics in a clear and simple format – the style Gelfand was known for internationally. Gelfand prepared these materials so as to be suitable for independent studies, thus allowing students to learn and practice the material at their own pace without a class. Geometry takes a different approach to presenting basic geometry for high-school students and others new to the subject. Rather than following the traditional axiomatic method that emphasizes formulae and logical deduction, it focuses on geometric constructions. Illustrations and problems are abundant throughout, and readers are encouraged to draw figures and “move” them in the plane, allowing them to develop and enhance their geometrical vision, imagination, and creativity. Chapters are structured so that only certain operations and the instruments to perform these operations are available for drawing objects and figures on the plane. This structure corresponds to presenting, sequentially, projective, affine, symplectic, and Euclidean geometries, all the while ensuring students have the necessary tools to follow along. Geometry is suitable for a large audience, which includes not only high school geometry students, but also teachers and anyone else interested in improving their geometrical vision and intuition, skills useful in many professions. Similarly, experienced mathematicians can appreciate the book’s unique way of presenting plane geometry in a simple form while adhering to its depth and rigor. “Gelfand was a great mathematician and also a great teacher. The book provides an atypical view of geometry. Gelfand gets to the intuitive core of geometry, to the phenomena of shapes and how they move in the plane, leading us to a better understanding of what coordinate geometry and axiomatic geometry seek to describe.” - Mark Saul, PhD, Executive Director, Julia Robinson Mathematics Festival “The subject matter is presented as intuitive, interesting and fun. No previous knowledge of the subject is required. Starting from the simplest concepts and by inculcating in the reader the use of visualization skills, [and] after reading the explanations and working through the examples, you will be able to confidently tackle the interesting problems posed. I highly recommend the book to any person interested in this fascinating branch of mathematics.” - Ricardo Gorrin, a student of the Extended Gelfand Correspondence Program in Mathematics (EGCPM)
Geometry And The Imagination
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Author : David Hilbert
language : en
Publisher:
Release Date : 1952
Geometry And The Imagination written by David Hilbert and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1952 with Geometry, Non-Euclidean categories.
Principia Mathematica
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Author : Besud Ch. Erdeni
language : en
Publisher: Authorhouse UK
Release Date : 2013
Principia Mathematica written by Besud Ch. Erdeni and has been published by Authorhouse UK this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Mathematics categories.
PRINCIPIA MATHEMATICA An Introduction to the Absolute Geometry of Space-Time and Matter.
Geometry And The Imagination
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Author : A. Renwick Sheen
language : en
Publisher:
Release Date : 1970
Geometry And The Imagination written by A. Renwick Sheen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Geometry categories.