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The Principle of Stability within the Pantheon of Mother Ideas
This book explores the main concepts that provide the basis for the creation and development of scientific knowledge. These concepts are called ‘mother ideas’. It also highlights the driving presence of stability in the accomplishment of all natural events, and details the creation and evolutionary mechanisms and phenomena that follow, both individually and collectively. As the book shows, primary observations serve to describe various ways in which natural objects behave generally. Its initial analysis of complex mechanisms leads to the phenomenon of consciousness being introduced. Elementary notions such as the “me”, affects, beauty and art are then redefined and detailed. The book ends with a brief comparison between the implications for knowledge and the action and use of the Darwinian and stability principles.
The Value of Mathematics and Computing in Contemporary Art
The artist, through his gifts and his sensitivity, has always used the technical means of his time to share his reactions to the most varied manifestations and creations of his environment and his own imagination. In our modern world, computers and mathematics constantly bring about completely new elements; every day, they enrich the panoply of tools that the artist can deploy. This book makes known, both to the public in the broad sense and to the most devoted animators of cultural life, the immense artistic qualities and intellectual values of the works newly created under the impetus of the progression of our mathematical knowledge.
Mathematics and Art
Recent progress in research, teaching and communication has arisen from the use of new tools in visualization. To be fruitful, visualization needs precision and beauty. This book is a source of mathematical illustrations by mathematicians as well as artists. It offers examples in many basic mathematical fields including polyhedra theory, group theory, solving polynomial equations, dynamical systems and differential topology. For a long time, arts, architecture, music and painting have been the source of new developments in mathematics. And vice versa, artists have often found new techniques, themes and inspiration within mathematics. Here, while mathematicians provide mathematical tools for the analysis of musical creations, the contributions from sculptors emphasize the role of mathematics in their work.
Mathematics and Art
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The Value of Mathematics and Computing in Contemporary Art
The artist, through his gifts and his sensitivity, has always used the technical means of his time to share his reactions to the most varied manifestations and creations of his environment and his own imagination. In our modern world, computers and mathematics constantly bring about completely new elements; every day, they enrich the panoply of tools that the artist can deploy. This book makes known, both to the public in the broad sense and to the most devoted animators of cultural life, the immense artistic qualities and intellectual values of the works newly created under the impetus of the progression of our mathematical knowledge.
Comprendre les mathématiques
Comment voit-on le monde avec des lunettes mathématiques ? C'est ce que Claude-Paul Bruter explique à propos des notions fondamentales de la discipline, du théorème de Thalès aux formes différentielles, en explorant les notions d'espace vectoriel et de courbure, le théorème des fonctions implicites et la caractéristique d'Euler-Poincaré, les différentes géométries et les surfaces topologiques. Conçu en partie pour les étudiants, cet ouvrage est accessible à tous les curieux des choses mathématiques. Claude-Paul Bruter est professeur de mathématiques à l'université de Paris-XII-Créteil.
Mathematics and Art
The deepening of mutual relations between mathematics and the arts today knows a new development, more and more appreciated both by artists and scientists, mathematicians in particular. This volume, the proceedings of the Ljubljana Conference organized by the European Society for Mathematics and the Arts (ESMA) in 2016, is the fourth of a series of books devoted to the links between mathematics and art. Mathematical tools and software for the creation of artistic scientific visualizations, analysis of artistic works from the mathematical point of view, pedagogical uses of scientific artistic works were the three main themes of the Conference. Artists, Pedagogues and Mathematicians will find in this volume significant new suggestions for creating new works within their own fields.
Model and Mathematics: From the 19th to the 21st Century
This open access book collects the historical and medial perspectives of a systematic and epistemological analysis of the complicated, multifaceted relationship between model and mathematics, ranging from, for example, the physical mathematical models of the 19th century to the simulation and digital modelling of the 21st century. The aim of this anthology is to showcase the status of the mathematical model between abstraction and realization, presentation and representation, what is modeled and what models. This book is open access under a CC BY 4.0 license.
Bifurcation Theory, Mechanics and Physics
This volume presents the proceedings of a colloquium inspired by the former President of the French Mathematical Society, Michel Herve. The aim was to promote the development of mathematics through applications. Since the ancient supports the new, it seemed appropriate to center the theoretical conferences on new subjects. Since the world is movement and creation, the theoretical conferences were planned on mechanics (movement) and bifurcation theory (creation). Five aspects of mechanics were to be presented, but, unfortunately, it has not been possible to include the statis tical mechanics aspect. So that only four aspects are presented: Classical mechanics (Hamiltonian, Lagrangian, Poiss...
Musimathics, Volume 1
A commonsense, self-contained introduction to the mathematics and physics of music; essential reading for musicians, music engineers, and anyone interested in the intersection of art and science. “Mathematics can be as effortless as humming a tune, if you know the tune,” writes Gareth Loy. In Musimathics, Loy teaches us the tune, providing a friendly and spirited tour of the mathematics of music—a commonsense, self-contained introduction for the nonspecialist reader. It is designed for musicians who find their art increasingly mediated by technology, and for anyone who is interested in the intersection of art and science. In Volume 1, Loy presents the materials of music (notes, intervals, and scales); the physical properties of music (frequency, amplitude, duration, and timbre); the perception of music and sound (how we hear); and music composition. Calling himself “a composer seduced into mathematics,” Loy provides answers to foundational questions about the mathematics of music accessibly yet rigorously. The examples given are all practical problems in music and audio. Additional material can be found at http://www.musimathics.com.
