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The Logician and the Engineer: How George Boole and Claude Shannon Created the Information Ageby Paul J. Nahin
Synopses & ReviewsPublisher Comments:Boolean algebra, also called Boolean logic, is at the heart of the electronic circuitry in everything we usefrom our computers and cars, to our kitchen gadgets and home appliances. How did a system of mathematics established in the Victorian era become the basis for such incredible technological achievements a century later? In The Logician and the Engineer, bestselling popular math writer Paul Nahin combines engaging problems and a colorful historical narrative to tell the remarkable story of how two men in different erasmathematician and philosopher George Boole (18151864) and electrical engineer and pioneering information theorist Claude Shannon (19162001)advanced Boolean logic and became founding fathers of the electronic communications age.
Presenting the dual biographies of Boole and Shannon, Nahin examines the history of Boole's innovative ideas, and considers how they led to Shannon's groundbreaking work on electrical relay circuits and information theory. Along the way, Nahin presents logic problems for readers to solve and talks about the contributions of such key players as Georg Cantor, Tibor Rado, and Marvin Minskyas well as the crucial role of Alan Turing's "Turing machine"in the development of mathematical logic and data transmission. Nahin takes readers from fundamental concepts to a deeper and more sophisticated understanding of how a modern digital machine such as the computer is constructed. Nahin also delves into the newest ideas in quantum mechanics and thermodynamics in order to explore computing's possible limitations in the twentyfirst century and beyond.
The Logician and the Engineer shows how a form of mathematical logic and the innovations of two men paved the way for the digital technology of the modern world. Review:"Through the treatment, which includes some basic digital logic design and probabilistic computations, the reader is taken on a journey from the development of some abstract mathematical ideas through a nearly ubiquitous application of those ideas within the modern world with so many embedded digital computers." Charles Ashbacher, MAA Reviews
Review:"Nahin has quite some reputation in writing books about popular mathematics as testified by his 12 previous books. But it is also instructive because along the road, the reader is clearly explained many of the concepts that is probably only vaguely familiar to a broad public like for example public key cryptography, Moore's law, labburn, uncertainty principle, bilking paradox, etc. It remains to mention that each chapter ends with a rather extensive section with "Notes and references" that give indeed references of some nuances of the main text." A. Bultheel, The European Mathematical Society
Synopsis:"In this book, Nahin brings to life the immense practical outcomes of deep theoretical ideas. Too often, technological advances are seen as isolated inventions and the underlying mathematical and scientific infrastructure goes unappreciated. By following the story of George Boole and Claude Shannon with a lively historical style, and a futuristic extension to quantum computing, Nahin makes the connection of theory and practice into something vivid and compelling."Andrew Hodges, author of Alan Turing: The Enigma
"From electromechanical relays to quantum computing, Nahin takes us on a delightful exploration of Boolean logic and the careers of George Boole and Claude Shannon. This is a superb book for anyone who wants to understand how that gigahertz chip in their favorite electronic doohickey really works."Lawrence Weinstein, author of Guesstimation 2.0: Solving Today's Problems on the Back of a Napkin "Written with the skill and ability that we have come to expect from Paul Nahin, The Logician and the Engineer is an interesting and informative account of the history of formal logic, the lives of its two great investigators, and the applications of Boolean algebra in electronic computation."Chuck Adler, St. Mary's College Synopsis:Boolean algebra, also called Boolean logic, is at the heart of the electronic circuitry in everything we usefrom our computers and cars, to our kitchen gadgets and home appliances. How did a system of mathematics established in the Victorian era become the basis for such incredible technological achievements a century later? In The Logician and the Engineer, bestselling popular math writer Paul Nahin combines engaging problems and a colorful historical narrative to tell the remarkable story of how two men in different erasmathematician and philosopher George Boole (18151864) and electrical engineer and pioneering information theorist Claude Shannon (19162001)advanced Boolean logic and became founding fathers of the electronic communications age.
Presenting the dual biographies of Boole and Shannon, Nahin examines the history of Boole's innovative ideas, and considers how they led to Shannon's groundbreaking work on electrical relay circuits and information theory. Along the way, Nahin presents logic problems for readers to solve and talks about the contributions of such key players as Georg Cantor, Tibor Rado, and Marvin Minskyas well as the crucial role of Alan Turing's "Turing machine"in the development of mathematical logic and data transmission. Nahin takes readers from fundamental concepts to a deeper and more sophisticated understanding of how a modern digital machine such as the computer is constructed. Nahin also delves into the newest ideas in quantum mechanics and thermodynamics in order to explore computing's possible limitations in the twentyfirst century and beyond. The Logician and the Engineer shows how a form of mathematical logic and the innovations of two men paved the way for the digital technology of the modern world. About the AuthorPaul J. Nahin is the author of many bestselling popular math books, including Mrs. Perkinss Electric Quilt, Dr. Eulers Fabulous Formula, and An Imaginary Tale (all Princeton). He is professor emeritus of electrical engineering at the University of New Hampshire.
Table of ContentsPreface xi
1 What You Need to Know to Read This Book 1 Notes and References 5 2 Introduction 6 Notes and References 14 3 George Boole and Claude Shannon: Two MiniBiographies 17
4 Boolean Algebra 43
5 Logical Switching Circuits 67
6 Boole, Shannon, and Probability 88
7 Some Combinatorial Logic Examples 114
8 SequentialState Digital Circuits 139
9 Turing Machines 161
10 Beyond Boole and Shannon 176
Epilogue For the Future: The AntiAmphibological Machine 210 Appendix Fundamental Electric Circuit Concepts 219 Acknowledgments 223 Index 225 What Our Readers Are SayingBe the first to add a comment for a chance to win!Product Details
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