Modeling Reality With Mathematics
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Modeling Reality With Mathematics
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Author : Alfio Quarteroni
language : en
Publisher: Springer Nature
Release Date : 2022-12-15
Modeling Reality With Mathematics written by Alfio Quarteroni and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-15 with Mathematics categories.
Simulating the behavior of a human heart, predicting tomorrow's weather, optimizing the aerodynamics of a sailboat, finding the ideal cooking time for a hamburger: to solve these problems, cardiologists, meteorologists, sportsmen, and engineers can count on math help. This book will lead you to the discovery of a magical world, made up of equations, in which a huge variety of important problems for our life can find useful answers.
Mathematical Models For Society And Biology
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Author : Edward Beltrami
language : en
Publisher: Academic Press
Release Date : 2002
Mathematical Models For Society And Biology written by Edward Beltrami and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Computers categories.
Mathematical Modeling for Society and Biology engagingly relates mathematics to compelling real-life problems in biology and contemporary society. It shows how mathematical tools can be used to gain insight into these modern, common problems to provide effective, real solutions. Beltrami's creative, non-threatening approach draws on a wealth of interesting examples pertaining to current social and biological issues. Central ideas appear again in different contexts throughout the book, showing the general unity of the modeling process. The models are strikingly novel and based on issues of real concern. Most have never appeared in book form. Through the relevance of these models mathematics becomes not just figures and numbers, but a means to a more refined understanding of the world.
Alternate Realities
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Author : John Casti
language : en
Publisher: Wiley-Interscience
Release Date : 1989-02-15
Alternate Realities written by John Casti and has been published by Wiley-Interscience this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-02-15 with Mathematics categories.
Contents: Chapter 1. The Ways of Modelmaking: Natural Systems and Formal Mathematical Representations; 2. Pattern and the Emergence of Living Forms: Cellular Automata and Discrete Dynamics; 3. The Analytical Engine: A Newtonian View of Brains, Minds and Mechanisms; 4. Catastrophes and Life: The Singularities of Ecological and Natural Resource Systems; 5. Order in Chaos: Turbulence and Pattern in the Flow of Fluids, Populations and Money; 6. Strategies for Survival: Competition, Games and the Theory of Evolution; 7. Taming Nature and Man: Control, Anticipation and Adaptation in Social and Biological Processes; 8. The Geometry of Human Affairs: Connective Structure in Art, Literature and Games of Chance; 9. How Do We Know?: Myths, Models and Paradigms in the Creation of Beliefs.
Reality Rules The Fundamentals
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Author : John Casti
language : en
Publisher: John Wiley & Sons
Release Date : 1997-03-27
Reality Rules The Fundamentals written by John Casti and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-03-27 with Mathematics categories.
Die beiden ursprünglich 1992 veröffentlichten Bände liegen nun in zusammengefaßter Paperback-Form vor. Reality Rules beleuchten die Syntax und die Semantik der Sprache, in der mathematische Modellierungsregeln niedergelegt werden. Eine Vielzahl von Beispielen zeigt praktische Anwendungen auf; auch ein Lösungsband zur Unterstützung des Selbststudiums ist erhältlich.
A Primer On Mathematical Modelling
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Author : Alfio Quarteroni
language : en
Publisher: Springer Nature
Release Date : 2020-10-09
A Primer On Mathematical Modelling written by Alfio Quarteroni and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-09 with Mathematics categories.
In this book we describe the magic world of mathematical models: starting from real-life problems, we formulate them in terms of equations, transform equations into algorithms and algorithms into programs to be executed on computers. A broad variety of examples and exercises illustrate that properly designed models can, e.g.: predict the way the number of dolphins in the Aeolian Sea will change as food availability and fishing activity vary; describe the blood flow in a capillary network; calculate the PageRank of websites. This book also includes a chapter with an elementary introduction to Octave, an open-source programming language widely used in the scientific community. Octave functions and scripts for dealing with the problems presented in the text can be downloaded from https://paola-gervasio.unibs.it/quarteroni-gervasio This book is addressed to any student interested in learning how to construct and apply mathematical models.
Modeling Reality
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Author : Iwo Bialynicki-Birula
language : en
Publisher: Oxford University Press, USA
Release Date : 2004-10-21
Modeling Reality written by Iwo Bialynicki-Birula 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 2004-10-21 with Computers categories.
This text covers a wide range of subjects, accessible to anyone who wants to learn about the use of computer modeling to solve a diverse range of problems, but who doesn't possess a specialized training in mathematics or computer science.
Mathematical Models And Methods For Real World Systems
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Author : K.M. Furati
language : en
Publisher: CRC Press
Release Date : 2005-07-19
Mathematical Models And Methods For Real World Systems written by K.M. Furati and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-07-19 with Mathematics categories.
This volume centers on the links between mathematics and the physical world. It first explores future challenges of mathematical technology, offers a wide-ranging definition of industrial mathematics, and explains the mathematics of type-II superconductors. After lucid discussions on theoretical and applied aspects of wavelets, the book presents classical and fractal methods for physical problems, including a fractal approach to porous media textures and using MATLAB to model chaos in the motion of a satellite. The final section surveys recent trends in variational methods, focusing on areas such as elliptic inverse problems, sweeping processes, and the BBKY hierarchy of quantum kinetic equations.
Reality Rules The Fundamentals Solutions Manual
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Author : John Casti
language : en
Publisher: Wiley-Interscience
Release Date : 1992-10-15
Reality Rules The Fundamentals Solutions Manual written by John Casti and has been published by Wiley-Interscience this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-10-15 with Mathematics categories.
"Casti Tours offers the most spectacular vistas of modern applied mathematics" â??Nature Mathematical modeling is about rulesâ??the rules of reality. Reality Rules explores the syntax and semantics of the language in which these rules are written, the language of mathematics. Characterized by the clarity and vision typical of the author's previous books, Reality Rules is a window onto the competing dialects of this languageâ??in the form of mathematical models of real-world phenomenaâ??that researchers use today to frame their views of reality. Moving from the irreducible basics of modeling to the upper reaches of scientific and philosophical speculation, Volumes 1 and 2, The Fundamentals and The Frontier, are ideal complements, equally matched in difficulty, yet unique in their coverage of issues central to the contemporary modeling of complex systems. Engagingly written and handsomely illustrated, Reality Rules is a fascinating journey into the conceptual underpinnings of reality itself, one that examines the major themes in dynamical system theory and modeling and the issues related to mathematical models in the broader contexts of science and philosophy. Far-reaching and far-sighted, Reality Rules is destined to shape the insight and work of students, researchers, and scholars in mathematics, science, and the social sciences for generations to come. Of related interest . . . ALTERNATE REALITIES Mathematical Models of Nature and Man John L. Casti A thoroughly modern account of the theory and practice of mathematical modeling with a treatment focusing on system-theoretic concepts such as complexity, self-organization, adaptation, bifurcation, resilience, surprise and uncertainty, and the mathematical structures needed to employ these in a formal system. An Instructor's Manual presenting detailed solutions to all the problems in the book is available from the Wiley editorial department.
Reconstructing Reality
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Author : Margaret Morrison
language : en
Publisher:
Release Date : 2015
Reconstructing Reality written by Margaret Morrison and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Mathematics categories.
Attempts to understand various aspects of the empirical world often rely on modelling processes that involve a reconstruction of systems under investigation. Typically the reconstruction uses mathematical frameworks like gauge theory and renormalization group methods, but more recently simulations also have become an indispensable tool for investigation. This book is a philosophical examination of techniques and assumptions related to modelling and simulation with the goal of showing how these abstract descriptions can contribute to our understanding of the physical world. Particular issues include the role of fictional models in science, how mathematical formalisms can yield physical information, and how we should approach the use of inconsistent models for specific types of systems. It also addresses the role of simulation, specifically the conditions under which simulation can be seen as a technique for measurement, replacing more traditional experimental approaches. Inherent worries about the legitimacy of simulation "knowledge" are also addressed, including an analysis of verification and validation and the role of simulation data in the search for the Higgs boson. In light of the significant role played by simulation in the Large Hadron Collider experiments, it is argued that the traditional distinction between simulation and experiment is no longer applicable in some contexts of modern science. Consequently, a re-evaluation of the way and extent to which simulation delivers empirical knowledge is required. "This is a, lively, stimulating, and important book by one of the main scholars contributing to current topics and debates in our field. It will be a major resource for philosophers of science, their students, scientists interested in examining scientific practice, and the general scientifically literate public."-Bas van Fraassen, Distinguished Professor of Philosophy, San Francisco State University
Mathematics
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Author : Peter Lancaster
language : en
Publisher:
Release Date : 1976
Mathematics written by Peter Lancaster and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Mathematics categories.