Mathematical Experiments on the Computer (Pure and Applied Mathematics (Academic Pr)) by Ulf Grenander

Cover of: Mathematical Experiments on the Computer (Pure and Applied Mathematics (Academic Pr)) | Ulf Grenander

Published by Academic Pr .

Written in English

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  • Data processing,
  • Applications of Computing,
  • Mathematics,
  • Computer Applications,
  • Mathematics (Specific Aspects)

Book details

The Physical Object
Number of Pages525
ID Numbers
Open LibraryOL9281586M
ISBN 100123017505
ISBN 109780123017505

Download Mathematical Experiments on the Computer (Pure and Applied Mathematics (Academic Pr))

Review. Experimental mathematics is here to stay. The reader who wants to get an introduction to this exciting approach to doing mathematics can do no better than [this book].

--Notices, American Mathematical Society Let me cut to the chase: every mathematics library requires a copy of this by:   Purchase Mathematical Experiments on the Computer, Volume - 1st Edition. Print Book & E-Book. ISBNBook Edition: 1. Part I introduces the design and modeling of computer experiments and the basic concepts used throughout the book.

Part II focuses on the design of computer experiments. The authors present the most popular space-filling designs - like Latin hypercube sampling and its modifications and uniform design - including their definitions, properties, construction and Cited by: Mathematical experiments on the computer, Volume (Pure and Applied Mathematics) [Download] Mathematical experiments on the computer, Volume (Pure and Applied Mathematics) PDF | Genial eBooks Download the eBook Mathematical experiments on the computer, Volume (Pure and Applied Mathematics) in PDF or EPUB format and read it.

Mathematical Experiments. Mathematics: how to prove 1 = 2 and how to prove 2 = 3: Multiplication: how to do Russian multiplication: Moebius Bands: how to make a Moebius band / how to double the length of a Moebius band: Cubes: how to push a cube through the middle of a cube the same size: Squares: how to make an extra square appear.

Many mathematical theorems assert that two statements are logically equivalent; that is, one holds if and only if the other does. Here is an example that has been known for several thousand years: Two triangles have the same side lengths if and only if two side lengths.

and the angle between those sides are the same. For analysis of algorithms, THE book is Concrete Mathematics: A Foundation for Computer Science (2nd Edition): Ronald L. Graham, Donald E. Knuth, Oren Patashnik: : Books Some aspects of Discrete mathematics are covered here, but you might want to pick a book which is particularly rigorous in this area.

ence curriculum. The book, therefore, does not cover network foundations such as discrete mathematics, combinatorics, or graph theory. Each concept in the book is described in four ways: intuitively ; using precise mathematical notat ion; with a carefully chosen numerical example; and with a numerical exer cise to be done by the Size: 2MB.

itself beautifully to the use of computers as a mathematical tool to simulate and analyze chance experiments. In the text the computer is utilized in several ways. First, it provides a labora-tory where chance experiments can be simulated and the students can get a feeling for the variety of such experiments.

This use of the computer in probability hasCited by: Mathematics has its own specific notion of “proof.” Definition. A mathematical proof of a proposition is a chain of logical deductions leading to the proposition from a base set of axioms. The three key ideas in this definition are highlighted: proposition, logical de- duction.

Mathematics for Computer Scientists 5 Introduction Introduction The aim of this book is to present some the basic mathematics that is needed by computer scientists. The reader is not expected to be a mathematician and we hope will nd what follows useful. Just a word of warning.

Unless you are one of the irritating minority math-ematics is Size: 2MB. Experiments with MATLAB is an electronic book with chapters that supplement high school and early college courses in mathematics and technical computing, including calculus and matrix theory. The expected background includes algebra, trigonometry, and some familiarity with computers.

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Angela Dean, PhD, is Professor Emeritus of Statistics and a member of the Emeritus Academy at The Ohio State University, Columbus, Ohio. She is a fellow of the American Statistical Association and the Institute of Mathematical Statistics.

Her research interests include design of screening and computer experiments. Engage your children with this fun fall activity that integrates math and science. First, your child will excavate to find leaves. Next, they'll examine them to determine the colors.

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Math is an elegant way to model the behavior of pretty much everything we can observe, and kids who won't settle for simply learning their multiplication tables will love exploring the applied math problems in these cool math science fair projects and math fair project ideas.

These enlightening experimental procedures have little mad scientists. Computer Experiments,using the computer as an instrument of “experimental mathematics” for exploration and research (see also above). These are mostly open-ended Preface vii 9/19/05 PM Page viiFile Size: KB.

Page 6 - An expression is either a term or a string of symbols consisting of a predicate symbol of degree ns 0 followed by n terms. A substitution component is any construct of the form v ->• t where v is a variable and t is a term different from v; v is called the variable of the substitution component v -> t and t is called the term (Hence v -+ v is not a substitution component for any.

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Integration. The reader is not expected to have any advanced mathematics or physics background. Topics covered include computer architecture, algorithms, programming languages, and theoretical computer science. MATLAB is used to solve application examples in the book. Quantum computing experiments using MATLAB are also included in an appendix.

AMERICAN MATHEMATICAL SOCIETY Vol Number 0, Pages – S (XX) MATHEMATICAL METHODS IN MEDICAL IMAGE PROCESSING SIGURD ANGENENT, ERIC PICHON, AND ALLEN TANNENBAUM Abstract. In this paper, we describe some central mathematical problems in medical imaging. The subject has been undergoing Cited by: Mathematics for Computer Science Eric Lehman and Tom Leighton File Size: 1MB.

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Computational Statistical Experiments in Matlab This book is intended as an undergraduate textbook on introductory to intermediate level Computa-tional Statistics. The goal is to equip students with some of the most useful tools in Computational Statistics and the ability to use them e ectively.

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sense is an example of the mathematical process of ’t try to give a precise definition of abstraction but rather point out examples of the process as we proceed. In a course in set theory, we would further abstract our work and derive the sum principle from the axioms of 1.

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Posted by. u/beltsazar. 5 years ago. Archived. If you understand proofs and have a decent amount of mathematical maturity, learning computer science (not programming) should be like learning any new branch of math. Numerous computer experiments are also included.

Japanese translation (). AN INTRODUCTION TO CHAOTIC DYNAMICAL SYSTEMS. Second Edition. Now published by CRC Press,ISBN This book is intended for graduate students in mathematics and researchers in other fields who wish to understand more about dynamical. Number theory is a merely a subset of mathematics.

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Read Mathematical Experiments on the Computer by Elsevier Books Reference for free with a 30 day free trial. Read unlimited* books and audiobooks on the web, iPad, iPhone and Android. Chaos — the study of the uncontainable, the unpredictable, the messy. Fractals — fantastic curves and surfaces unlike anything ever seen in mathematics before.

Dimension — a way to bring order to chaos and measure to madness. One can devote an academic lifetime to these topics, but this introduction makes them as easy to understand as the straight line and the.

Computational physics is the study and implementation of numerical analysis to solve problems in physics for which a quantitative theory already exists. Historically, computational physics was the first application of modern computers in science, and is now a subset of computational science.

It is sometimes regarded as a subdiscipline (or offshoot) of theoretical physics, but others. Experiments in Computer Go Endgames MARTIN MULLER AND RALPH GASSER¨ Abstract.

Recently, the mathematical theory of games has been applied to late-stage Go endgames [Berlekamp and Wolfe ; Wolfe ]. Based upon this theory, we developed a tool to solve local Go endgames. We veri- ed all exact game values in [Wolfe ] and analyzed some.This book is exactly what it's title claims -- an exploration of the basic ideas of chaos and fractals with simple computer programs.

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