Usa Las Matem Ticas Descr Belo Use Math Describe It 6 Pack
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Synthetic Philosophy Of Contemporary Mathematics
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Author : Fernando Zalamea
language : en
Publisher: National Geographic Books
Release Date : 2012-09-01
Synthetic Philosophy Of Contemporary Mathematics written by Fernando Zalamea and has been published by National Geographic Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-01 with Philosophy categories.
A panoramic survey of the vast spectrum of modern and contemporary mathematics and the new philosophical possibilities they suggest. A panoramic survey of the vast spectrum of modern and contemporary mathematics and the new philosophical possibilities they suggest, this book gives the inquisitive non-specialist an insight into the conceptual transformations and intellectual orientations of modern and contemporary mathematics. The predominant analytic approach, with its focus on the formal, the elementary and the foundational, has effectively divorced philosophy from the real practice of mathematics and the profound conceptual shifts in the discipline over the last century. The first part discusses the specificity of modern (1830–1950) and contemporary (1950 to the present) mathematics, and reviews the failure of mainstream philosophy of mathematics to address this specificity. Building on the work of the few exceptional thinkers to have engaged with the “real mathematics” of their era (including Lautman, Deleuze, Badiou, de Lorenzo and Châtelet), Zalamea challenges philosophy's self-imposed ignorance of the “making of mathematics.” In the second part, thirteen detailed case studies examine the greatest creators in the field, mapping the central advances accomplished in mathematics over the last half-century, exploring in vivid detail the characteristic creative gestures of modern master Grothendieck and contemporary creators including Lawvere, Shelah, Connes, and Freyd. Drawing on these concrete examples, and oriented by a unique philosophical constellation (Peirce, Lautman, Merleau-Ponty), in the third part Zalamea sets out the program for a sophisticated new epistemology, one that will avail itself of the powerful conceptual instruments forged by the mathematical mind, but which have until now remained largely neglected by philosophers.
Three Dimensional Geometry And Topology
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Author : William P. Thurston
language : en
Publisher: Princeton University Press
Release Date : 1997
Three Dimensional Geometry And Topology written by William P. Thurston 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 1997 with Mathematics categories.
Every mathematician should be acquainted with the basic facts about the geometry of surfaces, of two-dimensional manifolds. The theory of three-dimensional manifolds is much more difficult and still only partly understood, although there is ample evidence that the theory of three-dimensional manifolds is one of the most beautiful in the whole of mathematics. This excellent introductory work makes this mathematical wonderland remained rather inaccessible to non-specialists. The author is both a leading researcher, with a formidable geometric intuition, and a gifted expositor. His vivid descriptions of what it might be like to live in this or that three-dimensional manifold bring the subject to life. Like Poincaré, he appeals to intuition, but his enthusiasm is infectious and should make many converts for this kind of mathematics. There are good pictures, plenty of exercises and problems, and the reader will find a selection of topics which are not found in the standard repertoire. This book contains a great deal of interesting mathematics.
Shadows Of The Mind
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Author : Roger Penrose
language : en
Publisher: Oxford University Press, USA
Release Date : 1994
Shadows Of The Mind written by Roger Penrose and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Computers categories.
Presents the author's thesis that consciousness, in its manifestation in the human quality of understanding, is doing something that mere computation cannot; and attempts to understand how such non-computational action might arise within scientifically comprehensive physical laws.
Modern Mathematics
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Author : Georges Papy
language : en
Publisher: CUP Archive
Release Date : 1968
Modern Mathematics written by Georges Papy and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Mathematics categories.
The Rise Of The Image
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Author : Thomas Frangenberg
language : en
Publisher: Routledge
Release Date : 2017-07-05
The Rise Of The Image written by Thomas Frangenberg and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-05 with Design categories.
The Rise of the Image reveals how illustrations have come to play a primary part in books on art and architecture. Italian Renaissance art is the main focus for this anthology of essays which analyse key episodes in the history of illustration from the sixteenth to the twentieth century. The authors raise new issues about the imagery in books on the visual arts by Leonardo da Vinci, Giorgio Vasari, Sebastiano Serlio, Andrea Palladio, Girolamo Teti and Andrea Pozzo. The concluding essays evaluate the roles of reproductive media, including photography, in Victorian and twentieth-century art books. Throughout, images in books are considered as vehicles for ideas rather than as transparent, passive visual forms, dependent on their accompanying texts. Thus The Rise of the Image enriches our understanding of the role of prints in books on art.
Mathematics And Cognition
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Author : Pearla Nesher
language : en
Publisher: CUP Archive
Release Date : 1990-02-23
Mathematics And Cognition written by Pearla Nesher and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-02-23 with Education categories.
This 1990 book is aimed at teachers, mathematics educators and general readers who are interested in mathematics education from a psychological point of view.
The Obstacle Problem
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Author : Luis Angel Caffarelli
language : en
Publisher: Edizioni della Normale
Release Date : 1999-10-01
The Obstacle Problem written by Luis Angel Caffarelli and has been published by Edizioni della Normale this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-10-01 with Mathematics categories.
The material presented here corresponds to Fermi lectures that I was invited to deliver at the Scuola Normale di Pisa in the spring of 1998. The obstacle problem consists in studying the properties of minimizers of the Dirichlet integral in a domain D of Rn, among all those configurations u with prescribed boundary values and costrained to remain in D above a prescribed obstacle F. In the Hilbert space H1(D) of all those functions with square integrable gradient, we consider the closed convex set K of functions u with fixed boundary value and which are greater than F in D. There is a unique point in K minimizing the Dirichlet integral. That is called the solution to the obstacle problem.
Indiscrete Thoughts
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Author : Gian-Carlo Rota
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-01-11
Indiscrete Thoughts written by Gian-Carlo Rota 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 2008-01-11 with Mathematics categories.
Indiscrete Thoughts gives a glimpse into a world that has seldom been described - that of science and technology as seen through the eyes of a mathematician. The era covered by this book, 1950 to 1990, was surely one of the golden ages of science and of the American university. Cherished myths are debunked along the way as Gian-Carlo Rota takes pleasure in portraying, warts and all, some of the great scientific personalities of the period. Rota is not afraid of controversy. Some readers may even consider these essays indiscreet. This beautifully written book is destined to become an instant classic and the subject of debate for decades to come.
Higher Order Dynamic Mode Decomposition And Its Applications
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Author : Jose Manuel Vega
language : en
Publisher: Academic Press
Release Date : 2020-09-22
Higher Order Dynamic Mode Decomposition And Its Applications written by Jose Manuel Vega and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-22 with Technology & Engineering categories.
Higher Order Dynamic Mode Decomposition and Its Applications provides detailed background theory, as well as several fully explained applications from a range of industrial contexts to help readers understand and use this innovative algorithm. Data-driven modelling of complex systems is a rapidly evolving field, which has applications in domains including engineering, medical, biological, and physical sciences, where it is providing ground-breaking insights into complex systems that exhibit rich multi-scale phenomena in both time and space. Starting with an introductory summary of established order reduction techniques like POD, DEIM, Koopman, and DMD, this book proceeds to provide a detailed explanation of higher order DMD, and to explain its advantages over other methods. Technical details of how the HODMD can be applied to a range of industrial problems will help the reader decide how to use the method in the most appropriate way, along with example MATLAB codes and advice on how to analyse and present results. Includes instructions for the implementation of the HODMD, MATLAB codes, and extended discussions of the algorithm Includes descriptions of other order reduction techniques, and compares their strengths and weaknesses Provides examples of applications involving complex flow fields, in contexts including aerospace engineering, geophysical flows, and wind turbine design
Geodesic Flows
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Author : Gabriel P. Paternain
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Geodesic Flows written by Gabriel P. Paternain 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 2012-12-06 with Mathematics categories.
The aim of this book is to present the fundamental concepts and properties of the geodesic flow of a closed Riemannian manifold. The topics covered are close to my research interests. An important goal here is to describe properties of the geodesic flow which do not require curvature assumptions. A typical example of such a property and a central result in this work is Mane's formula that relates the topological entropy of the geodesic flow with the exponential growth rate of the average numbers of geodesic arcs between two points in the manifold. The material here can be reasonably covered in a one-semester course. I have in mind an audience with prior exposure to the fundamentals of Riemannian geometry and dynamical systems. I am very grateful for the assistance and criticism of several people in preparing the text. In particular, I wish to thank Leonardo Macarini and Nelson Moller who helped me with the writing of the first two chapters and the figures. Gonzalo Tomaria caught several errors and contributed with helpful suggestions. Pablo Spallanzani wrote solutions to several of the exercises. I have used his solutions to write many of the hints and answers. I also wish to thank the referee for a very careful reading of the manuscript and for a large number of comments with corrections and suggestions for improvement.