برای معماری ایرانی||||||||||||||For Iranian Architecture

The books about Mathematics & Aesthetic

Mathematics and the Aesthetic: New Approaches to an Ancient Affinity (CMS Books in Mathematics) (Hardcover)
by Nathalie Sinclair (Editor), David Pimm (Editor), William Higginson (Editor)

Editorial Reviews

Book Description

The essays in this book explore the ancient affinity between the mathematical and the aesthetic, focusing on the fundamental connections between these two modes of reasoning and communicating. From historical, philosophical and psychological perspectives, with particular attention to certain mathematical areas such as geometry and analysis, the authors examine the ways in which the aesthetic is ever present in mathematical thinking and contributes to the growth and value of mathematical knowledge.

http://www.amazon.com/Mathematics-Aesthetic-Approaches-Ancient-Affinity/dp/0387305262

MATHEMATICAL AESTHETIC PRINCIPLES/NONINTEGRABLE SYSTEMS

by M Muraskin (Univ. North Dakota)

Mathematical aesthetics is not discussed as a separate discipline in other books than this, even though it is reasonable to suppose that the foundations of physics lie in mathematical aesthetics. This book presents a list of mathematical principles that can be classified as "aesthetic" and shows that these principles can be cast into a nonlinear set of equations. Then, with this minimal input, the book shows that one can obtain lattice solutions, soliton systems, closed strings, instantons and chaotic-looking systems as well as multi-wave-packet solutions as output. These solutions have the common feature of being nonintegrable, i.e. the results of integration depend on the integration path. The topic of nonintegrable systems has not been given much attention in other books. Hence we discuss techniques for dealing with such systems.


Contents:

  • Mathematical Aesthetics
  • Nonintegrable Systems
  • Commutator Method
  • Nonintegrability and the Arrow of Time
  • The Gamma Equations as a Source of Fundamental Building Blocks
  • A Study of Some Additional Solutions to the Gamma Equations
  • Mathematical Aesthetics: Additional Topics
  • Elements of the Calculus
  • Theorem of the Calculus Requiring Path Independence for Integrable Systems
  • Elements of Tensors
  • Elements of Determinant Theory
  • Curvilinear Coordinates

http://www.worldscibooks.com/mathematics/2691.html

+ نگار (رزالیا) نصیری****** Negar(Rosalia) Nassiri PH.D, M Arch ; ٧:٤٦ ‎ب.ظ ; سه‌شنبه ٥ تیر ۱۳۸٦
    پيام هاي ديگران ()