Personal Mathematics And Computing
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Personal Mathematics And Computing
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Author : Frank Wattenberg
language : en
Publisher:
Release Date : 1991-01-01
Personal Mathematics And Computing written by Frank Wattenberg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-01-01 with Computer programming categories.
Computers can be effective tools for participating in the affairs of the world. They can also be used by the "experts" to erect barriers to participation. This book is a self-contained tutorial that can assist any reader with a background in high school mathematics in learning how to apply personal computing to enhance his or her understanding of modern quantitative methods in such areas as politics and economics, in environment and ecology, or in probability and statistics. The first part briefly introduces programming in True BASIC and includes eight programming projects that teach by example. These illustrate a variety of interesting applications and methods of computer-based quantitative reasoning - in lotteries and property taxes, in the law of supply and demand and the laws of chance (ESP, dice rolling, coin flipping, test taking), and in the use of peremptory challenges in jury selection. The remainder of the book applies mathematics and computing to real problems. Here the emphasis is on the art of expressing problems in ways that are amenable to computer analysis, with "assignments" for writing a number of computer programs for a wide variety of applications - in probability and statistics (a statistical comparison of two popular beers with the aid of a random number generator, a comparison of two roulette strategies, a statistical analysis of polling results, the Bell-Shaped Curve, and an analysis of a program aimed at reducing recidivism), in economic modeling (changing prices, inflation, mathematical tools for decision making, game theory), in optics (Fermat's principle, reflection and refraction, light caustics, funhouse mirrors, and an optical paradox), in Massachusetts local aid distribution, and in population models and ecology. Frank Wattenberg is Professor of Mathematics at the University of Massachusetts, Amherst.
An Introduction To Modern Mathematical Computing
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Author : Jonathan M. Borwein
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-08-07
An Introduction To Modern Mathematical Computing written by Jonathan M. Borwein 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 2012-08-07 with Mathematics categories.
Thirty years ago mathematical, as opposed to applied numerical, computation was difficult to perform and so relatively little used. Three threads changed that: the emergence of the personal computer; the discovery of fiber-optics and the consequent development of the modern internet; and the building of the Three “M’s” Maple, Mathematica and Matlab. We intend to persuade that Mathematica and other similar tools are worth knowing, assuming only that one wishes to be a mathematician, a mathematics educator, a computer scientist, an engineer or scientist, or anyone else who wishes/needs to use mathematics better. We also hope to explain how to become an "experimental mathematician" while learning to be better at proving things. To accomplish this our material is divided into three main chapters followed by a postscript. These cover elementary number theory, calculus of one and several variables, introductory linear algebra, and visualization and interactive geometric computation.
Mathematics In Computing
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Author : Gerard O’Regan
language : en
Publisher: Springer Nature
Release Date : 2020-01-10
Mathematics In Computing written by Gerard O’Regan and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-10 with Computers categories.
This illuminating textbook provides a concise review of the core concepts in mathematics essential to computer scientists. Emphasis is placed on the practical computing applications enabled by seemingly abstract mathematical ideas, presented within their historical context. The text spans a broad selection of key topics, ranging from the use of finite field theory to correct code and the role of number theory in cryptography, to the value of graph theory when modelling networks and the importance of formal methods for safety critical systems. This fully updated new edition has been expanded with a more comprehensive treatment of algorithms, logic, automata theory, model checking, software reliability and dependability, algebra, sequences and series, and mathematical induction. Topics and features: includes numerous pedagogical features, such as chapter-opening key topics, chapter introductions and summaries, review questions, and a glossary; describes the historical contributions of such prominent figures as Leibniz, Babbage, Boole, and von Neumann; introduces the fundamental mathematical concepts of sets, relations and functions, along with the basics of number theory, algebra, algorithms, and matrices; explores arithmetic and geometric sequences and series, mathematical induction and recursion, graph theory, computability and decidability, and automata theory; reviews the core issues of coding theory, language theory, software engineering, and software reliability, as well as formal methods and model checking; covers key topics on logic, from ancient Greek contributions to modern applications in AI, and discusses the nature of mathematical proof and theorem proving; presents a short introduction to probability and statistics, complex numbers and quaternions, and calculus. This engaging and easy-to-understand book will appeal to students of computer science wishing for an overview of the mathematics used in computing, and to mathematicians curious about how their subject is applied in the field of computer science. The book will also capture the interest of the motivated general reader.
An Introduction To Modern Mathematical Computing
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Author : Jonathan M. Borwein
language : en
Publisher: Springer
Release Date : 2011-08-25
An Introduction To Modern Mathematical Computing written by Jonathan M. Borwein and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-25 with Mathematics categories.
Thirty years ago mathematical, as opposed to applied numerical, computation was difficult to perform and so relatively little used. Three threads changed that: the emergence of the personal computer; the discovery of fiber-optics and the consequent development of the modern internet; and the building of the Three “M’s” Maple, Mathematica and Matlab. We intend to persuade that Maple and other like tools are worth knowing assuming only that one wishes to be a mathematician, a mathematics educator, a computer scientist, an engineer or scientist, or anyone else who wishes/needs to use mathematics better. We also hope to explain how to become an `experimental mathematician' while learning to be better at proving things. To accomplish this our material is divided into three main chapters followed by a postscript. These cover elementary number theory, calculus of one and several variables, introductory linear algebra, and visualization and interactive geometric computation.
Selected Writings On Computing A Personal Perspective
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Author : Edsger W. Dijkstra
language : en
Publisher: Springer
Release Date : 1982-10-25
Selected Writings On Computing A Personal Perspective written by Edsger W. Dijkstra and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982-10-25 with Computers categories.
Stepwise program construction. Parallelism in multi-record transactions. Finding the maximum strong components in a directed granph. trip reporte E.W.Dijkstra, summer school munich. The solution to a cyclic relaxation problem. Trip reporte IBM seminar "communication and computers". Self-stabilization in spite of distributed control. Acceptance speech for the AFIPS harry goode memorial award 1974. Speech at the occasion of an anniversary. Inside "mathematics inc". A multidisciplinary approach to mathematics. Ond the role of scientific thought. A time-wise hierarchy imposed upon the use of a two-level store. A new elephant built from mosquitoes humming in harmony. Monotonic replacement algorithms and their implementation. Trip report E.W.Dijkstra. Trip report visit ETH Zurich. A letter to my old friend Jonathan. "Craftsman or scientist?". Exercises in making programs robust. Trip report E.W.Dijkstra. how do we tell truths that might hurt?. Variation on a theme: an open letter to C.A.R hoare. A post-scriptum to EWD501. Erratum and embellishmething . A synthesis merging?. Commets at a symposium. Trip report E.W.Dijkstra. On a warning from E.A.Hauch. More on auck's warning. A collection of beautiful proofs. Mathematics inc., a private letter from its chairman. A personal summary of the gries-owicki theory. A "non Trip report". Formal techniques and sizearble programs. An exercises for Dr.R.M.Burstall. A great improvement. To H.D.Mills, chairman software methodology panel. On subgoal induction. Trip report E.W.Dijkstra. More about the function. A proof of a theorem communicated to us. Trip report E.W.Dijkstra. A parable. Trip report E.W.Dijkstra. A correctness proof for communicating processes: a small exercise. An elephant inspered by the dutch national flag. On the fact the atlantic ocean has two sides. Trip report E.W.Dijkstra. A somewhat open letter to EAA. On webster, users, bugs, and aristotle, On making solution more and more fine-grained. The mathematics behind the banker's algorithm. On two beautiful solutions designed by martin rem. Trip report E.W.Dijkstra. why naive program transformation systems are unlikely to word. The three golden rules for successful scientific research. The introduction of MAES. A class of simple communication patterns. "Why is software so expensive?" an explanation to the hardware designer. A theorem about odd powes of odd integers. Porgram inversion. On weak and strong termination. The equivalence of bounded nondeterminacy and continuity. A story that starts with a very good computer.
The Making Of A New Science
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Author : Giorgio Ausiello
language : en
Publisher: Springer
Release Date : 2018-08-06
The Making Of A New Science written by Giorgio Ausiello and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-06 with Computers categories.
This book explains the development of theoretical computer science in its early stages, specifically from 1965 to 1990. The author is among the pioneers of theoretical computer science, and he guides the reader through the early stages of development of this new discipline. He explains the origins of the field, arising from disciplines such as logic, mathematics, and electronics, and he describes the evolution of the key principles of computing in strands such as computability, algorithms, and programming. But mainly it's a story about people – pioneers with diverse backgrounds and characters came together to overcome philosophical and institutional challenges and build a community. They collaborated on research efforts, they established schools and conferences, they developed the first related university courses, they taught generations of future researchers and practitioners, and they set up the key publications to communicate and archive their knowledge. The book is a fascinating insight into the field as it existed and evolved, it will be valuable reading for anyone interested in the history of computing.
Understand Mathematics Understand Computing
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Author : Arnold L. Rosenberg
language : en
Publisher: Springer Nature
Release Date : 2020-12-05
Understand Mathematics Understand Computing written by Arnold L. Rosenberg and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-05 with Computers categories.
In this book the authors aim to endow the reader with an operational, conceptual, and methodological understanding of the discrete mathematics that can be used to study, understand, and perform computing. They want the reader to understand the elements of computing, rather than just know them. The basic topics are presented in a way that encourages readers to develop their personal way of thinking about mathematics. Many topics are developed at several levels, in a single voice, with sample applications from within the world of computing. Extensive historical and cultural asides emphasize the human side of mathematics and mathematicians. By means of lessons and exercises on “doing” mathematics, the book prepares interested readers to develop new concepts and invent new techniques and technologies that will enhance all aspects of computing. The book will be of value to students, scientists, and engineers engaged in the design and use of computing systems, and to scholars and practitioners beyond these technical fields who want to learn and apply novel computational ideas.
Computer Number Bases
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Author : William Parks
language : en
Publisher:
Release Date : 2018-12-03
Computer Number Bases written by William Parks and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-03 with categories.
"Computer Number Bases" was originally published by Williamsville Publishing Company as part of their popular computer math Tape'nText series. It has been adapted and republished by Hershey Books. Material in "Computer Number Bases" was submitted for review in "The Mathematics Teacher" and received praise - "The development is well done." ABOUT THE BOOK: "Computer Number Bases" covers Base Ten (Decimal), Base Two (Binary), Base Eight (Octal) and Base 16 (Hexadecimal). These four number systems are important to gain insight into how computer systems operate internally. Binary Arithmetic is introduced after a thorough study of the underlying structure of each of the four computer number bases. Questions are listed in exercises at the end of each section and the answer key is conveniently located after each exercise. This book is part of the "Computer Mathematics Series" that also includes: "Sets and Flowcharts," "Introduction to Logic," and "Boolean Algebra and Switching Circuits." The four titles in the series give an excellent introduction to these topics and provide a firm foundation for beginners to study more advanced topics in computer mathematics. This text contributes to STEM-based instruction. STEM is an acronym that includes education in the fields of science, technology, engineering, mathematics and computer science. These areas of knowledge help students learn to communicate better in mathematics and computer science using sets, numbers, logic and flowcharts and displaying information in various ways.ABOUT THE AUTHOR: William Parks, B.S., M.S., Ed.M., taught secondary level mathematics in private and public high schools in New York for five years. He taught community college mathematics and computer science for 25 years in New York, Tennessee, Maryland and Arizona. He was a computer science degree program developer at four colleges: SUNY Colleges at Buffalo and Fredonia, Elon University and D'Youville College. He was the technical editor for "Personal Computing" and "PC AI" magazines.
Sets Logic And Maths For Computing
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Author : David Makinson
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-02-27
Sets Logic And Maths For Computing written by David Makinson 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 2012-02-27 with Computers categories.
This easy-to-follow textbook introduces the mathematical language, knowledge and problem-solving skills that undergraduates need to study computing. The language is in part qualitative, with concepts such as set, relation, function and recursion/induction; but it is also partly quantitative, with principles of counting and finite probability. Entwined with both are the fundamental notions of logic and their use for representation and proof. Features: teaches finite math as a language for thinking, as much as knowledge and skills to be acquired; uses an intuitive approach with a focus on examples for all general concepts; brings out the interplay between the qualitative and the quantitative in all areas covered, particularly in the treatment of recursion and induction; balances carefully the abstract and concrete, principles and proofs, specific facts and general perspectives; includes highlight boxes that raise common queries and clear confusions; provides numerous exercises, with selected solutions.
Mathematics For Computer Science
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Author : Eric Lehman
language : en
Publisher:
Release Date : 2017-03-08
Mathematics For Computer Science written by Eric Lehman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-08 with Business & Economics categories.
This book covers elementary discrete mathematics for computer science and engineering. It emphasizes mathematical definitions and proofs as well as applicable methods. Topics include formal logic notation, proof methods; induction, well-ordering; sets, relations; elementary graph theory; integer congruences; asymptotic notation and growth of functions; permutations and combinations, counting principles; discrete probability. Further selected topics may also be covered, such as recursive definition and structural induction; state machines and invariants; recurrences; generating functions.