Scientific Mathematical Bodies
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Scientific Mathematical Bodies
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Author : SungWon Hwang
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-11-19
Scientific Mathematical Bodies written by SungWon Hwang 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 2011-11-19 with Education categories.
This book is about the sensuous, living body without which individual knowing and learning is impossible. It is the interface between the individual and culture. Recent scholarship has moved from investigated knowing and learning as something in the mind or brain to understanding these phenomena in terms of the body (embodiment literature) or culture (social constructivism). These two literatures have expanded the understanding of cognition to include the role of the body in shaping the mind and to recognize the tight relation between mind and culture. However, there are numerous problems arising from ways in which the body and culture are thought in these separate research domains. In this book, the authors present an interdisciplinary, scientific initiative that brings together the concerns for body and for culture to develop a single theory of cognition centered on the living and lived body. This book thereby contributes to bridging the gap that currently exists between theory (knowing that) and praxis (knowing how) that is apparent in the existing science and mathematics education literatures.
What S Happening In The Mathematical Sciences
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Author : Barry Cipra
language : en
Publisher: American Mathematical Soc.
Release Date :
What S Happening In The Mathematical Sciences written by Barry Cipra 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 with Science categories.
Mathematicians like to point out that mathematics is universal. In spite of this, most people continue to view it as either mundane (balancing a checkbook) or mysterious (cryptography). This fifth volume of the What's Happening series contradicts that view by showing that mathematics is indeed found everywhere-in science, art, history, and our everyday lives. Here is some of what you'll find in this volume: Mathematics and Science Mathematical biology: Mathematics was key tocracking the genetic code. Now, new mathematics is needed to understand the three-dimensional structure of the proteins produced from that code. Celestial mechanics and cosmology: New methods have revealed a multitude of solutions to the three-body problem. And other new work may answer one of cosmology'smost fundamental questions: What is the size and shape of the universe? Mathematics and Everyday Life Traffic jams: New models are helping researchers understand where traffic jams come from-and maybe what to do about them! Small worlds: Researchers have found a short distance from theory to applications in the study of small world networks. Elegance in Mathematics Beyond Fermat's Last Theorem: Number theorists are reaching higher ground after Wiles' astounding 1994 proof: new developments inthe elegant world of elliptic curves and modular functions. The Millennium Prize Problems: The Clay Mathematics Institute has offered a million dollars for solutions to seven important and difficult unsolved problems. These are just some of the topics of current interest that are covered in thislatest volume of What's Happening in the Mathematical Sciences. The book has broad appeal for a wide spectrum of mathematicians and scientists, from high school students through advanced-level graduates and researchers.
Philosophy Of Mathematics And Natural Science
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Author : Hermann Weyl
language : en
Publisher: Princeton University Press
Release Date : 2021-09-14
Philosophy Of Mathematics And Natural Science written by Hermann Weyl 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 2021-09-14 with Mathematics categories.
When mathematician Hermann Weyl decided to write a book on philosophy, he faced what he referred to as "conflicts of conscience"--the objective nature of science, he felt, did not mesh easily with the incredulous, uncertain nature of philosophy. Yet the two disciplines were already intertwined. In Philosophy of Mathematics and Natural Science, Weyl examines how advances in philosophy were led by scientific discoveries--the more humankind understood about the physical world, the more curious we became. The book is divided into two parts, one on mathematics and the other on the physical sciences. Drawing on work by Descartes, Galileo, Hume, Kant, Leibniz, and Newton, Weyl provides readers with a guide to understanding science through the lens of philosophy. This is a book that no one but Weyl could have written--and, indeed, no one has written anything quite like it since.
Scientific Computing With Mathematica
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Author : Addolorata Marasco
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Scientific Computing With Mathematica written by Addolorata Marasco 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.
Many interesting behaviors of real physical, biological, economical, and chemical systems can be described by ordinary differential equations (ODEs). Scientific Computing with Mathematica for Ordinary Differential Equations provides a general framework useful for the applications, on the conceptual aspects of the theory of ODEs, as well as a sophisticated use of Mathematica software for the solutions of problems related to ODEs. In particular, a chapter is devoted to the use ODEs and Mathematica in the Dynamics of rigid bodies. Mathematical methods and scientific computation are dealt with jointly to supply a unified presentation. The main problems of ordinary differential equations such as, phase portrait, approximate solutions, periodic orbits, stability, bifurcation, and boundary problems are covered in an integrated fashion with numerous worked examples and computer program demonstrations using Mathematica. Topics and Features:*Explains how to use the Mathematica package ODE.m to support qualitative and quantitative problem solving *End-of- chapter exercise sets incorporating the use of Mathematica programs *Detailed description and explanation of the mathematical procedures underlying the programs written in Mathematica *Appendix describing the use of ten notebooks to guide the reader through all the exercises. This book is an essential text/reference for students, graduates and practitioners in applied mathematics and engineering interested in ODE's problems in both the qualitative and quantitative description of solutions with the Mathematica program. It is also suitable as a self-
Reasoning With The Infinite
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Author : Michel Blay
language : en
Publisher: University of Chicago Press
Release Date : 1998
Reasoning With The Infinite written by Michel Blay and has been published by University of Chicago Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with History categories.
Until the Scientific Revolution, the nature and motions of heavenly objects were mysterious and unpredictable. The Scientific Revolution was revolutionary in part because it saw the advent of many mathematical tools—chief among them the calculus—that natural philosophers could use to explain and predict these cosmic motions. Michel Blay traces the origins of this mathematization of the world, from Galileo to Newton and Laplace, and considers the profound philosophical consequences of submitting the infinite to rational analysis. "One of Michael Blay's many fine achievements in Reasoning with the Infinite is to make us realize how velocity, and later instantaneous velocity, came to play a vital part in the development of a rigorous mathematical science of motion."—Margaret Wertheim, New Scientist
Discipline And Experience
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Author : Peter Dear
language : en
Publisher: University of Chicago Press
Release Date : 1995-11-25
Discipline And Experience written by Peter Dear and has been published by University of Chicago Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-11-25 with Science categories.
Although the Scientific Revolution has long been regarded as the beginning of modern science, there has been little consensus about its true character. While the application of mathematics to the study of the natural world has always been recognized as an important factor, the role of experiment has been less clearly understood. Peter Dear investigates the nature of the change that occurred during this period, focusing particular attention on evolving notions of experience and how these developed into the experimental work that is at the center of modern science. He examines seventeenth-century mathematical sciences—astronomy, optics, and mechanics—not as abstract ideas, but as vital enterprises that involved practices related to both experience and experiment. Dear illuminates how mathematicians and natural philosophers of the period—Mersenne, Descartes, Pascal, Barrow, Newton, Boyle, and the Jesuits—used experience in their argumentation, and how and why these approaches changed over the course of a century. Drawing on mathematical texts and works of natural philosophy from all over Europe, he describes a process of change that was gradual, halting, sometimes contradictory—far from the sharp break with intellectual tradition implied by the term "revolution."
Applied Mathematics Body And Soul
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Author : Kenneth Eriksson
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-10-17
Applied Mathematics Body And Soul written by Kenneth Eriksson 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 2003-10-17 with Mathematics categories.
Applied Mathematics: Body & Soul is a mathematics education reform project developed at Chalmers University of Technology and includes a series of volumes and software. The program is motivated by the computer revolution opening new possibilities of computational mathematical modeling in mathematics, science and engineering. It consists of a synthesis of Mathematical Analysis (Soul), Numerical Computation (Body) and Application. Volumes I-III present a modern version of Calculus and Linear Algebra, including constructive/numerical techniques and applications intended for undergraduate programs in engineering and science. Further volumes present topics such as Dynamical Systems, Fluid Dynamics, Solid Mechanics and Electro-Magnetics on an advanced undergraduate/graduate level. The authors are leading researchers in Computational Mathematics who have written various successful books.
Fundamentals And Principles Of Artifacts Science
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Author : Masayuki Matsui
language : en
Publisher: Springer
Release Date : 2016-02-19
Fundamentals And Principles Of Artifacts Science written by Masayuki Matsui and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-19 with Business & Economics categories.
This is the first book covering original information on the mathematical science of such the artifacts as 3M&I-body system, in which “3M” means human, material/machine, money, and “I” means the information/method in nature versus artifacts. This book is the product of industrial engineering versus Wiener’s cybernetics challenge for a half-century. For 3M&I-body, there are two approaches of artificial intelligence/IoT (internet of things) and Matsui's matrix/3D to systemization and control. The former is the analogical and visual approach to real entity. The latter is the digital and logical approach to system decision and is applied to the robotics of bodies. The mathematical science of a body is well constructed from the algebra, geometry, analysis, and control on Matsui’s equation, toward the sandwich and balancing propositions of bodies. The sandwich issues propose the squeeze or pinching theorem in mathematics at the 3M&I-body, and the balancing issues propose the principle of balancing and invisible collaboration of bodies, beginning from the work of Archimedes. This book contributes to the integration of knowledge and intelligence in science and facilitate the realization of the cyber/real-world , such as the enterprise robot, cloud-coordinated supply-chain management (SCM), and smart cities in the near future.
Partitions Of Mass Distributions And Of Convex Bodies By Hyperplanes
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Author : B. Grunbaum
language : en
Publisher:
Release Date : 1960
Partitions Of Mass Distributions And Of Convex Bodies By Hyperplanes written by B. Grunbaum and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with Convex bodies categories.
N Body Problems And Models
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Author : Donald Greenspan
language : en
Publisher: World Scientific
Release Date : 2004
N Body Problems And Models written by Donald Greenspan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Science categories.
The study and application of "N"-body problems has had animportant role in the history of mathematics. In recent years, theavailability of modern computer technology has added to theirsignificance, since computers can now be used to model material bodiesas atomic and molecular configurations, i.e. as "N"-bodyconfigurations.