This concise guide to trouble-shooting offers practical advice on detecting and removing the bugs, preserving significant figures, avoiding extraneous solutions, and finding efficient iterative processes for solving nonlinear equations. 1996 edition.
Preventing Errors in Scientific and Engineering Calculations
Author: Forman S. Acton
Publisher: Courier Corporation
The classical theory of computation has its origins in the work of Goedel, Turing, Church, and Kleene and has been an extraordinarily successful framework for theoretical computer science. The thesis of this book, however, is that it provides an inadequate foundation for modern scientific computation where most of the algorithms are real number algorithms. The goal of this book is to develop a formal theory of computation which integrates major themes of the classical theory and which is more directly applicable to problems in mathematics, numerical analysis, and scientific computing. Along the way, the authors consider such fundamental problems as: * Is the Mandelbrot set decidable? * For simple quadratic maps, is the Julia set a halting set? * What is the real complexity of Newton's method? * Is there an algorithm for deciding the knapsack problem in a ploynomial number of steps? * Is the Hilbert Nullstellensatz intractable? * Is the problem of locating a real zero of a degree four polynomial intractable? * Is linear programming tractable over the reals? The book is divided into three parts: The first part provides an extensive introduction and then proves the fundamental NP-completeness theorems of Cook-Karp and their extensions to more general number fields as the real and complex numbers. The later parts of the book develop a formal theory of computation which integrates major themes of the classical theory and which is more directly applicable to problems in mathematics, numerical analysis, and scientific computing.
Author: Lenore Blum,Felipe Cucker,Michael Shub,Steve Smale
Publisher: Springer Science & Business Media
This introduction to the world of statistics covers exploratory data analysis, methods for collecting data, formal statistical inference, and techniques of regression and analysis of variance. 1983 edition.
Author: Frederick Mosteller,Stephen E. Fienberg,Robert E.K. Rourke
Publisher: Courier Corporation
Comprehensive, elementary introduction to real and functional analysis covers basic concepts and introductory principles in set theory, metric spaces, topological and linear spaces, linear functionals and linear operators, more. 1970 edition.
Author: A. N. Kolmogorov,S. V. Fomin
Publisher: Courier Corporation
Rapid advancements in the application of soft computing tools and techniques have proven valuable in the development of highly scalable systems and resulted in brilliant applications, including those in biometric identification, interactive voice response systems, and data mining. Although many resources on the subject adequately cover the theoretic concepts, few provide clear insight into practical application. Filling this need, Real Life Applications of Soft Computing explains such applications, including the underlying technology and its implementation. While these systems initially seem complex, the authors clearly demonstrate how they can be modeled, designed, and implemented. Written in a manner that makes it accessible to novices, the book begins by covering the theoretical foundations of soft computing. It supplies a concise explanation of various models, principles, algorithms, tools, and techniques, including artificial neural networks, fuzzy systems, evolutionary algorithms, and hybrid algorithms. Supplying in-depth exposure to real life systems, the text provides: Multi-dimensional coverage supported by references, figures, and tables Warnings about common pitfalls in the implementation process, as well as detailed examinations of possible solutions A timely account of developments in various areas of application Solved examples and exercises in each chapter Detailing a wide range of contemporary applications, the text includes coverage of those in biometric systems, including physiological and behavioral biometrics. It also examines applications in legal threat assessment, robotic path planning, and navigation control. The authors consider fusion methods in biometrics and bioinformatics and also provide effective disease identification techniques. Complete with algorithms for robotic path planning, the book addresses character recognition and presents the picture compression technique by using a customized hybrid algorithm. The authors conclude with a discussion of parallel architecture for artificial neural networks and supply guidelines for creating and implementing effective soft computing designs.
Author: Anupam Shukla,Ritu Tiwari,Rahul Kala
Publisher: CRC Press
How do we recognize that the number . 93371663 . . . is actually 2 IoglQ(e + 7r)/2 ? Gauss observed that the number 1. 85407467 . . . is (essentially) a rational value of an elliptic integral-an observation that was critical in the development of nineteenth century analysis. How do we decide that such a number is actually a special value of a familiar function without the tools Gauss had at his disposal, which were, presumably, phenomenal insight and a prodigious memory? Part of the answer, we hope, lies in this volume. This book is structured like a reverse telephone book, or more accurately, like a reverse handbook of special function values. It is a list of just over 100,000 eight-digit real numbers in the interval [0,1) that arise as the first eight digits of special values of familiar functions. It is designed for people, like ourselves, who encounter various numbers computationally and want to know if these numbers have some simple form. This is not a particularly well-defined endeavor-every eight-digit number is rational and this is not interesting. However, the chances of an eight digit number agreeing with a small rational, say with numerator and denominator less than twenty-five, is small. Thus the list is comprised primarily of special function evaluations at various algebraic and simple transcendental values. The exact numbers included are described below. Each entry consists of the first eight digits after the decimal point of the number in question.
Author: Jonathan Borwein
Publisher: Springer Science & Business Media
Distinguished essayist and literary critic George Steiner explores the power and presence of the unseen in art There is a philosophical school of thought that believes the presence of God in art, literature, and music—in creativity in general—is a vacant metaphor, an eroded figure of speech, a ghost in humanity’s common parlance. George Steiner posits the opposite—that any coherent understanding of language and art, any capacity to communicate meaning and feeling, is premised on God. In doing so, he argues against the kind of criticism that obscures, instead of elucidates, meaning. From the power of language to vital philosophical tenets, Real Presences examines the role of meaning and of the spiritual in art throughout history and across cultures.
Author: George Steiner
Publisher: Open Road Media
In this ambitious study, David Corfield attacks the widely held view that it is the nature of mathematical knowledge which has shaped the way in which mathematics is treated philosophically and claims that contingent factors have brought us to the present thematically limited discipline. Illustrating his discussion with a wealth of examples, he sets out a variety of approaches to new thinking about the philosophy of mathematics, ranging from an exploration of whether computers producing mathematical proofs or conjectures are doing real mathematics, to the use of analogy, the prospects for a Bayesian confirmation theory, the notion of a mathematical research programme and the ways in which new concepts are justified. His inspiring book challenges both philosophers and mathematicians to develop the broadest and richest philosophical resources for work in their disciplines and points clearly to the ways in which this can be done.
Author: David Corfield
Publisher: Cambridge University Press
A brokenhearted woman drifts into depression as she occupies her traveling neighbor's apartment in this graphic novel where base human desires and functions alternate with dreamlike symbolism to create a tension-filled tale of the nightmare that is modern life.
Author: Aisha Franz
Publisher: Drawn and Quarterly
Category: Comics & Graphic Novels
Authors Ward Cheney and David Kincaid show students of science and engineering the potential computers have for solving numerical problems and give them ample opportunities to hone their skills in programming and problem solving. NUMERICAL MATHEMATICS AND COMPUTING, 7th Edition also helps students learn about errors that inevitably accompany scientific computations and arms them with methods for detecting, predicting, and controlling these errors. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
Author: E. Ward Cheney,David R. Kincaid
Publisher: Cengage Learning
In Kate Hoefler’s realistic and poetic picture book debut about the wide open West, the myth of rowdy, rough-riding cowboys and cowgirls is remade. A timely and multifaceted portrayal reveals a lifestyle that is as diverse as it contrary to what we've come to expect.
Author: Kate Hoefler
Publisher: Houghton Mifflin Harcourt
Category: Juvenile Fiction
Looks at the gender gap that exists in computer science.
Women in Computing
Author: Jane Margolis,Allan Fisher
Publisher: MIT Press
For use in schools and libraries only. Now in a special new edition perfect for young readers, this is the amazing true story of four African-American female mathematicians at NASA who helped achieve some of the greatest moments in our space program. Soon to be a major motion picture. Before John Glenn orbited the earth or Neil Armstrong walked on the moon, a group of dedicated female mathematicians known as "human computers" used pencils, slide rules, and adding machines to calculate the numbers that would launch rockets, and astronauts, into space. This book brings to life the stories of Dorothy Vaughan, Mary Jackson, Katherine Johnson, and Christine Darden, four African-American women who lived through the Civil Rights era, the Space Race, the Cold War, and the movement for gender equality, and whose work forever changed the face of NASA and the country.
Young Readers' Edition
Author: Margot Lee Shetterly
Havoc ensues when the prettiest girl in school gets a pimple in this humorous and heartwarming novel about friendship and identity.
Author: Tommy Greenwald
Category: Juvenile Fiction
A fascinating exploration of how insights from computer algorithms can be applied to our everyday lives, helping to solve common decision-making problems and illuminate the workings of the human mind All our lives are constrained by limited space and time, limits that give rise to a particular set of problems. What should we do, or leave undone, in a day or a lifetime? How much messiness should we accept? What balance of new activities and familiar favorites is the most fulfilling? These may seem like uniquely human quandaries, but they are not: computers, too, face the same constraints, so computer scientists have been grappling with their version of such issues for decades. And the solutions they've found have much to teach us. In a dazzlingly interdisciplinary work, acclaimed author Brian Christian and cognitive scientist Tom Griffiths show how the algorithms used by computers can also untangle very human questions. They explain how to have better hunches and when to leave things to chance, how to deal with overwhelming choices and how best to connect with others. From finding a spouse to finding a parking spot, from organizing one's inbox to understanding the workings of memory, Algorithms to Live By transforms the wisdom of computer science into strategies for human living.
The Computer Science of Human Decisions
Author: Brian Christian,Tom Griffiths
Category: Business & Economics
THE TOP TEN BESTSELLER 'Unusually practical, non-patronising and authentic. Think Marie Kondo for the mind, if you will, or the Hemsleys for the soul.' Sunday Times Wellness pioneers Nadia Narain and Katia Narain Phillips have spent decades helping others to feel their best. But it took them a bit longer to learn to care for themselves. Here they share the small, achievable steps they picked up on a lifetime’s journey towards self-care, and how you can apply them to your life, wherever you are. Right now, you may be deep in the waves of life, being tossed around. Learning self-care is like building your own life boat, plank by plank. Once you’ve got your boat, you’ll still be rocked by the same waves, but you’ll have a feeling of safety, and a stability that means you can pick other people up on your way.
Practical self-care advice for everyday life
Author: Nadia Narain,Katia Narain Phillips
Publisher: Random House