Qualitative Computing: A Computational Journey Into Nonlinearity - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Qualitative Computing: A Computational Journey Into Nonlinearity write by Francoise Chatelin. This book was released on 2012-06-15. Qualitative Computing: A Computational Journey Into Nonlinearity available in PDF, EPUB and Kindle. High technology industries are in desperate need for adequate tools to assess the validity of simulations produced by ever faster computers for perennial unstable problems. In order to meet these industrial expectations, applied mathematicians are facing a formidable challenge summarized by these words — nonlinearity and coupling. This book is unique as it proposes truly original solutions: (1) Using hypercomputation in quadratic algebras, as opposed to the traditional use of linear vector spaces in the 20th century; (2) complementing the classical linear logic by the complex logic which expresses the creative potential of the complex plane.The book illustrates how qualitative computing has been the driving force behind the evolution of mathematics since Pythagoras presented the first incompleteness result about the irrationality of √2. The celebrated results of Gödel and Turing are but modern versions of the same idea: the classical logic of Aristotle is too limited to capture the dynamics of nonlinear computation. Mathematics provides us with the missing tool, the organic logic, which is aptly tailored to model the dynamics of nonlinearity. This logic will be the core of the “Mathematics for Life” to be developed during this century.
Qualitative Computing
Qualitative Computing - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Qualitative Computing write by Françoise Chatelin. This book was released on 2012. Qualitative Computing available in PDF, EPUB and Kindle. Introduction to Qualitative Computing; Hypercomputation in Dickson Algebras; Scales of Complexity and Linear Reachability; Singular Values for the Multiplication Maps; Computation Beyond Classical Logic; Complexification of the Arithmetic; Homotopic Deviation in Linear Algebra; The Discrete and the Continuous; Arithmetic in the Alternative Dickson Division Algebras; The Real and the Complex.
Unconventional Computation
Unconventional Computation - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Unconventional Computation write by Christian S. Calude. This book was released on 2010-06. Unconventional Computation available in PDF, EPUB and Kindle. The LNCS series reports state-of-the-art results in computer science research, development, and education, at a high level and in both printed and electronic form. Enjoying tight cooperation with the R&D community, with numerous individuals, as well as with prestigious organizations and societies, LNCS has grown into the most comprehensive computer science research forum available. The scope of LNCS, including its subseries LNAI and LNBI, spans the whole range of computer science and information technology including interdisciplinary topics in a variety of application fields. In parallel to the printed book, each new volume is published electronically in LNCS Online.
A Journey through the History of Numerical Linear Algebra
A Journey through the History of Numerical Linear Algebra - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Journey through the History of Numerical Linear Algebra write by Claude Brezinski . This book was released on 2022-12-06. A Journey through the History of Numerical Linear Algebra available in PDF, EPUB and Kindle. This expansive volume describes the history of numerical methods proposed for solving linear algebra problems, from antiquity to the present day. The authors focus on methods for linear systems of equations and eigenvalue problems and describe the interplay between numerical methods and the computing tools available at the time. The second part of the book consists of 78 biographies of important contributors to the field. A Journey through the History of Numerical Linear Algebra will be of special interest to applied mathematicians, especially researchers in numerical linear algebra, people involved in scientific computing, and historians of mathematics.
Numerical Analysis and Its Applications
Numerical Analysis and Its Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Numerical Analysis and Its Applications write by Svetozar Margenov. This book was released on 2009-03-09. Numerical Analysis and Its Applications available in PDF, EPUB and Kindle. This book constitutes the thoroughly refereed post-conference proceedings of the 4th International Conference on Numerical Analysis and Its Applications, NAA 2008, held in Lozenetz, Bulgaria in June 2008. The 61 revised full papers presented together with 13 invited papers were carefully selected during two rounds of reviewing and improvement. The papers address all current aspects of numerical analysis and discuss a wide range of problems concerning recent achievements in physics, chemistry, engineering, and economics. A special focus is given to numerical approximation and computational geometry, numerical linear algebra and numerical solution of transcendental equations, numerical methods for differential equations, numerical modeling, and high performance scientific computing.
