A History of Algorithms

From the Pebble to the Microchip

Author: Jean-Luc Chabert

Publisher: Boom Koninklijke Uitgevers

ISBN: 9783540633693

Category: Computers

Page: 524

View: 6472

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This book is unique in its coverage of the history of mathematics, focusing exclusively on algorithms -- the backbone of modern computing and computational mathematics. This book will interest mathematicians, computer scientists and science historians who want to learn more about the fascinating background of contemporary algorithmic practice.

A History of Algorithms

From the Pebble to the Microchip

Author: Jean-Luc Chabert

Publisher: Springer Science & Business Media

ISBN: 3642181929

Category: Mathematics

Page: 524

View: 3499

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The development of computing has reawakened interest in algorithms. Often neglected by historians and modern scientists, algorithmic procedures have been instrumental in the development of fundamental ideas: practice led to theory just as much as the other way round. The purpose of this book is to offer a historical background to contemporary algorithmic practice.

A History of Algorithms

From the Pebble to the Microchip

Author: Jean-Luc Chabert

Publisher: Springer

ISBN: 9783540633693

Category: Mathematics

Page: 524

View: 6346

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The development of computing has reawakened interest in algorithms. Often neglected by historians and modern scientists, algorithmic procedures have been instrumental in the development of fundamental ideas: practice led to theory just as much as the other way round. The purpose of this book is to offer a historical background to contemporary algorithmic practice.

The Power of Algorithms

Inspiration and Examples in Everyday Life

Author: Giorgio Ausiello,Rossella Petreschi

Publisher: Springer Science & Business Media

ISBN: 3642396526

Category: Education

Page: 255

View: 429

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To examine, analyze, and manipulate a problem to the point of designing an algorithm for solving it is an exercise of fundamental value in many fields. With so many everyday activities governed by algorithmic principles, the power, precision, reliability and speed of execution demanded by users have transformed the design and construction of algorithms from a creative, artisanal activity into a full-fledged science in its own right. This book is aimed at all those who exploit the results of this new science, as designers and as consumers. The first chapter is an overview of the related history, demonstrating the long development of ideas such as recursion and more recent formalizations such as computability. The second chapter shows how the design of algorithms requires appropriate techniques and sophisticated organization of data. In the subsequent chapters the contributing authors present examples from diverse areas – such as routing and networking problems, Web search, information security, auctions and games, complexity and randomness, and the life sciences – that show how algorithmic thinking offers practical solutions and also deepens domain knowledge. The contributing authors are top-class researchers with considerable academic and industrial experience; they are also excellent educators and communicators and they draw on this experience with enthusiasm and humor. This book is an excellent introduction to an intriguing domain and it will be enjoyed by undergraduate and postgraduate students in computer science, engineering, and mathematics, and more broadly by all those engaged with algorithmic thinking.

Sapiens

A Brief History of Humankind

Author: Yuval Noah Harari

Publisher: Harper Collins

ISBN: 0062316109

Category: Science

Page: 464

View: 482

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New York Times Bestseller A Summer Reading Pick for President Barack Obama, Bill Gates, and Mark Zuckerberg From a renowned historian comes a groundbreaking narrative of humanity’s creation and evolution—a #1 international bestseller—that explores the ways in which biology and history have defined us and enhanced our understanding of what it means to be “human.” One hundred thousand years ago, at least six different species of humans inhabited Earth. Yet today there is only one—homo sapiens. What happened to the others? And what may happen to us? Most books about the history of humanity pursue either a historical or a biological approach, but Dr. Yuval Noah Harari breaks the mold with this highly original book that begins about 70,000 years ago with the appearance of modern cognition. From examining the role evolving humans have played in the global ecosystem to charting the rise of empires, Sapiens integrates history and science to reconsider accepted narratives, connect past developments with contemporary concerns, and examine specific events within the context of larger ideas. Dr. Harari also compels us to look ahead, because over the last few decades humans have begun to bend laws of natural selection that have governed life for the past four billion years. We are acquiring the ability to design not only the world around us, but also ourselves. Where is this leading us, and what do we want to become? Featuring 27 photographs, 6 maps, and 25 illustrations/diagrams, this provocative and insightful work is sure to spark debate and is essential reading for aficionados of Jared Diamond, James Gleick, Matt Ridley, Robert Wright, and Sharon Moalem.

In the Beginning was Information

A Scientist Explains the Incredible Design in Nature

Author: Werner Gitt

Publisher: New Leaf Publishing Group

ISBN: 0890514615

Category: Religion

Page: 264

View: 2643

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Information - it s one of the most fundamental parts of our world, yet we don t often think about it. This classic book, now being published by Master Books, demonstrates the importance of information to life of any kind. More to the point, it demonstrates the necessity of an Organizer and Originator of the information necessary for life. Dr. Gitt argues that God is not bound by the laws of nature, but instead uses them for His own purposes. He also shows that the highly complex information present in DNA mitigates a non-intelligent beginning for life. He advocates for assurance when dealing with the Bible s information, that this collection of books is not only free of error, but that no useless information is present, as well. 5 3/8 x 8 3/8 Paperback 260 pages"

History in Mathematics Education

The ICMI Study

Author: John Fauvel,J.A. van Maanen

Publisher: Springer Science & Business Media

ISBN: 0306472201

Category: Education

Page: 437

View: 3780

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This ground-breaking book investigates how the learning and teaching of mathematics can be improved through integrating the history of mathematics into all aspects of mathematics education: lessons, homework, texts, lectures, projects, assessment, and curricula. It draws upon evidence from the experience of teachers as well as national curricula, textbooks, teacher education practices, and research perspectives across the world. It includes a 300-item annotated bibliography of recent work in the field in eight languages.

Structures and Algorithms

Mathematics and the Nature of Knowledge

Author: Jens Erik Fenstad

Publisher: Springer

ISBN: 3319729748

Category: Philosophy

Page: 134

View: 1261

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This book explains exactly what human knowledge is. The key concepts in this book are structures and algorithms, i.e., what the readers “see” and how they make use of what they see. Thus in comparison with some other books on the philosophy (or methodology) of science, which employ a syntactic approach, the author’s approach is model theoretic or structural. Properly understood, it extends the current art and science of mathematical modeling to all fields of knowledge. The link between structure and algorithms is mathematics. But viewing “mathematics” as such a link is not exactly what readers most likely learned in school; thus, the task of this book is to explain what “mathematics” should actually mean. Chapter 1, an introductory essay, presents a general analysis of structures, algorithms and how they are to be linked. Several examples from the natural and social sciences, and from the history of knowledge, are provided in Chapters 2–6. In turn, Chapters 7 and 8 extend the analysis to include language and the mind. Structures are what the readers see. And, as abstract cultural objects, they can almost always be seen in many different ways. But certain structures, such as natural numbers and the basic theory of grammar, seem to have an absolute character. Any theory of knowledge grounded in human culture must explain how this is possible. The author’s analysis of this cultural invariance, combining insights from evolutionary theory and neuroscience, is presented in the book’s closing chapter. The book will be of interest to researchers, students and those outside academia who seek a deeper understanding of knowledge in our present-day society.

Using the Mathematics Literature

Author: Kristine K. Fowler

Publisher: CRC Press

ISBN: 9780824750350

Category: Language Arts & Disciplines

Page: 475

View: 2828

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This reference serves as a reader-friendly guide to every basic tool and skill required in the mathematical library and helps mathematicians find resources in any format in the mathematics literature. It lists a wide range of standard texts, journals, review articles, newsgroups, and Internet and database tools for every major subfield in mathematics and details methods of access to primary literature sources of new research, applications, results, and techniques. Using the Mathematics Literature is the most comprehensive and up-to-date resource on mathematics literature in both print and electronic formats, presenting time-saving strategies for retrieval of the latest information.

A History of Numerical Analysis from the 16th through the 19th Century

Author: H. H. Goldstine

Publisher: Springer Science & Business Media

ISBN: 1468494724

Category: Mathematics

Page: 350

View: 6902

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In this book I have attempted to trace the development of numerical analysis during the period in which the foundations of the modern theory were being laid. To do this I have had to exercise a certain amount of selectivity in choosing and in rejecting both authors and papers. I have rather arbitrarily chosen, in the main, the most famous mathematicians of the period in question and have concentrated on their major works in numerical analysis at the expense, perhaps, of other lesser known but capable analysts. This selectivity results from the need to choose from a large body of literature, and from my feeling that almost by definition the great masters of mathematics were the ones responsible for the most significant accomplishments. In any event I must accept full responsibility for the choices. I would particularly like to acknowledge my thanks to Professor Otto Neugebauer for his help and inspiration in the preparation of this book. This consisted of many friendly discussions that I will always value. I should also like to express my deep appreciation to the International Business Machines Corporation of which I have the honor of being a Fellow and in particular to Dr. Ralph E. Gomory, its Vice-President for Research, for permitting me to undertake the writing of this book and for helping make it possible by his continuing encouragement and support.

The Chinese Roots of Linear Algebra

Author: Roger Hart

Publisher: JHU Press

ISBN: 9780801899584

Category: Mathematics

Page: 304

View: 7446

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Mathematicians and historians of mathematics and science will find in The Chinese Roots of Linear Algebra new ways to conceptualize the intellectual development of linear algebra.

The Power of Algorithms

Inspiration and Examples in Everyday Life

Author: Giorgio Ausiello,Rossella Petreschi

Publisher: Springer Science & Business Media

ISBN: 3642396526

Category: Education

Page: 255

View: 2488

DOWNLOAD NOW »
To examine, analyze, and manipulate a problem to the point of designing an algorithm for solving it is an exercise of fundamental value in many fields. With so many everyday activities governed by algorithmic principles, the power, precision, reliability and speed of execution demanded by users have transformed the design and construction of algorithms from a creative, artisanal activity into a full-fledged science in its own right. This book is aimed at all those who exploit the results of this new science, as designers and as consumers. The first chapter is an overview of the related history, demonstrating the long development of ideas such as recursion and more recent formalizations such as computability. The second chapter shows how the design of algorithms requires appropriate techniques and sophisticated organization of data. In the subsequent chapters the contributing authors present examples from diverse areas – such as routing and networking problems, Web search, information security, auctions and games, complexity and randomness, and the life sciences – that show how algorithmic thinking offers practical solutions and also deepens domain knowledge. The contributing authors are top-class researchers with considerable academic and industrial experience; they are also excellent educators and communicators and they draw on this experience with enthusiasm and humor. This book is an excellent introduction to an intriguing domain and it will be enjoyed by undergraduate and postgraduate students in computer science, engineering, and mathematics, and more broadly by all those engaged with algorithmic thinking.

Mathematical Time Capsules

Historical Modules for the Mathematics Classroom

Author: Dick Jardine

Publisher: MAA

ISBN: 088385984X

Category: MATHEMATICS

Page: 204

View: 2537

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Mathematical Time Capsules offers teachers historical modules for immediate use in the mathematics classroom. Readers will find articles and activities from mathematics history that enhance the learning of topics covered in the undergraduate or secondary mathematics curricula. Each capsule presents at least one topic or a historical thread that can be used throughout a course. The capsules were written by experienced practitioners to provide teachers with historical background and classroom activities designed for immediate use in the classroom, along with further references and resources on the chapter subject. --Publisher description.

Machine of Death

A Collection of Stories about People who Know how They Will Die

Author: Ryan North,Matthew Bennardo,David Malki

Publisher: Machines of Death LLC

ISBN: 0982167121

Category: Fiction

Page: 452

View: 3033

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Presents fantasy stories written by Internet authors that explore how people, cultures, and societies are affected by the predictions of the Machine, an object that provides short yet vague phrases about how a person will die.

The Legacy of Niels Henrik Abel

The Abel Bicentennial, Oslo, 2002

Author: Olav Arnfinn Laudal,Ragni Piene

Publisher: Springer Science & Business Media

ISBN: 3642189083

Category: Mathematics

Page: 784

View: 2249

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A unique series of fascinating research papers on subjects related to the work of Niels Henrik Abel, written by some of the foremost specialists in their fields. Some of the authors have been specifically invited to present papers, discussing the influence of Abel in a mathematical-historical context. Others have submitted papers presented at the Abel Bicentennial Conference, Oslo June 3-8, 2002. The idea behind the book has been to produce a text covering a substantial part of the legacy of Abel, as perceived at the beginning of the 21st century.

Metaman

Author: Gregory Stock

Publisher: Doubleday Canada

ISBN: 9780385253802

Category: History

Page: 320

View: 4755

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Biology, Conservation and Sustainable Development of Sturgeons

Author: Ramón Carmona,Alberto Domezain,Manuel García Gallego,José Antonio Hernando,Fernando Rodríguez,Manuel Ruiz-Rejón

Publisher: Springer Science & Business Media

ISBN: 1402084374

Category: Science

Page: 468

View: 532

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Sturgeons are considered “living fossils”, sharing many morphological and biological features with ancestral fish. Furthermore, sturgeons are of the utmost interest from an economic perspective, not only for the caviar but for the flesh. However, the wild populations of the majority of the species are at serious risk of extinction all over the world. So, it is urgent to develop strategies for both farming culture and conservation and recovery in natural habitats. This book provides a comprehensive view of the biology and sustainable development of sturgeons putting emphasis on the Southern Europe autochthonous species such as Acipenser nacarii and Acipenser sturio that share geographical distribution. Other relevant species (such as Huso huso, A. oxyrhinchus, A. ruthenus, A. stellatus) and areas (Germany, Russia, North America) are also considered. The contents are organised in three sections: Taxonomy and Biogeography (including the morphological and genetic analyses that clarify the taxonomy and phylogeny of sturgeons, focused on those from Southern Europe), Biology and Aquaculture (where several aspects of the developmental biology, feeding, and reproduction are considered in relation to the improvement of sturgeon farming), and Recovery and Conservation (that collates and analyses different recovery research actions, the ecology of the rivers for restoration as well as the problems related to the trade of caviar).

I of the Vortex

From Neurons to Self

Author: Rodolfo R. Llin's

Publisher: MIT Press

ISBN: 9780262621632

Category: Medical

Page: 302

View: 5353

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A highly original theory of how the mind-brain works, based on the author's study of single neuronal cells. Color Figures from the book are now available online—click the title for more information.

Capital as Power

A Study of Order and Creorder

Author: Jonathan Nitzan,Shimshon Bichler

Publisher: Routledge

ISBN: 1134022298

Category: Political Science

Page: 464

View: 4455

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Conventional theories of capitalism are mired in a deep crisis: after centuries of debate, they are still unable to tell us what capital is. Liberals and Marxists both think of capital as an ‘economic’ entity that they count in universal units of ‘utils’ or ‘abstract labour’, respectively. But these units are totally fictitious. Nobody has ever been able to observe or measure them, and for a good reason: they don’t exist. Since liberalism and Marxism depend on these non-existing units, their theories hang in suspension. They cannot explain the process that matters most – the accumulation of capital. This book offers a radical alternative. According to the authors, capital is not a narrow economic entity, but a symbolic quantification of power. It has little to do with utility or abstract labour, and it extends far beyond machines and production lines. Capital, the authors claim, represents the organized power of dominant capital groups to reshape – or creorder – their society. Written in simple language, accessible to lay readers and experts alike, the book develops a novel political economy. It takes the reader through the history, assumptions and limitations of mainstream economics and its associated theories of politics. It examines the evolution of Marxist thinking on accumulation and the state. And it articulates an innovative theory of ‘capital as power’ and a new history of the ‘capitalist mode of power’.

The Arithmetic of Infinitesimals

Author: John Wallis

Publisher: Springer Science & Business Media

ISBN: 1475743122

Category: Mathematics

Page: 192

View: 2863

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John Wallis (1616-1703) was the most influential English mathematician prior to Newton. He published his most famous work, Arithmetica Infinitorum, in Latin in 1656. This book studied the quadrature of curves and systematised the analysis of Descartes and Cavelieri. Upon publication, this text immediately became the standard book on the subject and was frequently referred to by subsequent writers. This will be the first English translation of this text ever to be published.