The Logician and the Engineer
Author: Paul J. Nahin
Publisher: Princeton University Press
Published: 2017-04-04
Total Pages: 245
ISBN-13: 0691176000
DOWNLOAD EBOOKThird printing. First paperback printing. Original copyright date: 2013.
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Mathematics and Plausible Reasoning: Induction and analogy in mathematics
Author: G. Polya
Publisher: Princeton University Press
Published: 1990-08-23
Total Pages: 300
ISBN-13: 9780691025094
DOWNLOAD EBOOK"Here the author of How to Solve It explains how to become a "good guesser." Marked by G. Polya's simple, energetic prose and use of clever examples from a wide range of human activities, this two-volume work explores techniques of guessing, inductive reasoning, and reasoning by analogy, and the role they play in the most rigorous of deductive disciplines."--Book cover.
Transients for Electrical Engineers
Author: Paul J. Nahin
Publisher: Springer
Published: 2018-07-05
Total Pages: 209
ISBN-13: 3319775987
DOWNLOAD EBOOKThis book offers a concise introduction to the analysis of electrical transients aimed at students who have completed introductory circuits and freshman calculus courses. While it is written under the assumption that these students are encountering transient electrical circuits for the first time, the mathematical and physical theory is not ‘watered-down.’ That is, the analysis of both lumped and continuous (transmission line) parameter circuits is performed with the use of differential equations (both ordinary and partial) in the time domain, and the Laplace transform. The transform is fully developed in the book for readers who are not assumed to have seen it before. The use of singular time functions (unit step and impulse) is addressed and illustrated through detailed examples. The appearance of paradoxical circuit situations, often ignored in many textbooks (because they are, perhaps, considered ‘difficult’ to explain) is fully embraced as an opportunity to challenge students. In addition, historical commentary is included throughout the book, to combat the misconception that the material in engineering textbooks was found engraved on Biblical stones, rather than painstakingly discovered by people of genius who often went down many wrong paths before finding the right one. MATLAB® is used throughout the book, with simple codes to quickly and easily generate transient response curves.
An Imaginary Tale
Author: Paul Nahin
Publisher: Princeton University Press
Published: 2010-02-22
Total Pages: 297
ISBN-13: 1400833892
DOWNLOAD EBOOKToday complex numbers have such widespread practical use--from electrical engineering to aeronautics--that few people would expect the story behind their derivation to be filled with adventure and enigma. In An Imaginary Tale, Paul Nahin tells the 2000-year-old history of one of mathematics' most elusive numbers, the square root of minus one, also known as i. He recreates the baffling mathematical problems that conjured it up, and the colorful characters who tried to solve them. In 1878, when two brothers stole a mathematical papyrus from the ancient Egyptian burial site in the Valley of Kings, they led scholars to the earliest known occurrence of the square root of a negative number. The papyrus offered a specific numerical example of how to calculate the volume of a truncated square pyramid, which implied the need for i. In the first century, the mathematician-engineer Heron of Alexandria encountered I in a separate project, but fudged the arithmetic; medieval mathematicians stumbled upon the concept while grappling with the meaning of negative numbers, but dismissed their square roots as nonsense. By the time of Descartes, a theoretical use for these elusive square roots--now called "imaginary numbers"--was suspected, but efforts to solve them led to intense, bitter debates. The notorious i finally won acceptance and was put to use in complex analysis and theoretical physics in Napoleonic times. Addressing readers with both a general and scholarly interest in mathematics, Nahin weaves into this narrative entertaining historical facts and mathematical discussions, including the application of complex numbers and functions to important problems, such as Kepler's laws of planetary motion and ac electrical circuits. This book can be read as an engaging history, almost a biography, of one of the most evasive and pervasive "numbers" in all of mathematics. Some images inside the book are unavailable due to digital copyright restrictions.
Hot Molecules, Cold Electrons
Author: Paul J. Nahin
Publisher: Princeton University Press
Published: 2022-05-10
Total Pages: 232
ISBN-13: 0691207844
DOWNLOAD EBOOKAn entertaining mathematical exploration of the heat equation and its role in the triumphant development of the trans-Atlantic telegraph cable Heat, like gravity, shapes nearly every aspect of our world and universe, from how milk dissolves in coffee to how molten planets cool. The heat equation, a cornerstone of modern physics, demystifies such processes, painting a mathematical picture of the way heat diffuses through matter. Presenting the mathematics and history behind the heat equation, Hot Molecules, Cold Electrons tells the remarkable story of how this foundational idea brought about one of the greatest technological advancements of the modern era. Paul Nahin vividly recounts the heat equation’s tremendous influence on society, showing how French mathematical physicist Joseph Fourier discovered, derived, and solved the equation in the early nineteenth century. Nahin then follows Scottish physicist William Thomson, whose further analysis of Fourier’s explorations led to the pioneering trans-Atlantic telegraph cable. This feat of engineering reduced the time it took to send a message across the ocean from weeks to minutes. Readers also learn that Thomson used Fourier’s solutions to calculate the age of the earth, and, in a bit of colorful lore, that writer Charles Dickens relied on the trans-Atlantic cable to save himself from a career-damaging scandal. The book’s mathematical and scientific explorations can be easily understood by anyone with a basic knowledge of high school calculus and physics, and MATLAB code is included to aid readers who would like to solve the heat equation themselves. A testament to the intricate links between mathematics and physics, Hot Molecules, Cold Electrons offers a fascinating glimpse into the relationship between a formative equation and one of the most important developments in the history of human communication.
Why Did the Logician Cross the Road?
Author: Stan Baronett
Publisher: Bloomsbury Publishing
Published: 2021-08-12
Total Pages: 136
ISBN-13: 1350178926
DOWNLOAD EBOOKFind out what connects logic and humor in this alternative guide to logical reasoning. Combining jokes, stories, and ironic situations, Stan Baronett shows how it is possible to ground the language of logic in everyday experience. Each chapter introduces a basic logical reasoning concept based on happenings in daily life. Using jokes as his examples, Baronett reveals the inner workings of logic. After all an effective joke often relies on an unanticipated assumption that leads to an unexpected result. The assumption changes the normal context of an everyday situation, so we are surprised by the ending. A complex mind that learns from experience, and builds a storehouse of regularly recurring patterns, is a great survival tool. But for a joke to work, the punch line has to be something our minds don't logically anticipate. The ending jolts our minds for a split second while we grasp the absurdity of the situation. This is how logic works: one part of your mind determines whether the information you are receiving is true or false, while another part of your mind deals with logical consequences. Injecting a sense of humor into logical language, Baronett helps us understand how to analyze basic logical reasoning and provides light relief for anyone daunted by the complex world of logic.
The Logician and the Engineer
Author: Paul J. Nahin
Publisher:
Published: 2012
Total Pages:
ISBN-13: 9781400899616
DOWNLOAD EBOOKBoolean algebra, also called Boolean logic, is at the heart of the electronic circuitry in everything we use--from 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, best-selling popular math writer Paul Nahin combines engaging problems and a colorful historical narrative to tell the remarkable story of how two men in different eras--mathematician and philosopher George Boole (1815-1864) and electrical engineer and pioneering information theorist Claude Shannon (1916-2001)--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 Minsky--as 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 twenty-first 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.
Dictionary of World Biography
Author: Barry Jones
Publisher: ANU Press
Published: 2022-11-30
Total Pages: 1005
ISBN-13: 1760465526
DOWNLOAD EBOOKJones, Barry Owen (1932– ). Australian politician, writer and lawyer, born in Geelong. Educated at Melbourne High School and Melbourne University, he was a public servant, high school teacher, television and radio performer, university lecturer and lawyer before serving as a Labor MP in the Victorian Parliament 1972–77 and the Australian House of Representatives 1977–98. He took a leading role in reviving the Australian film industry and abolishing the death penalty in Australia, and was the first politician to raise public awareness of global warming, the ‘post‑industrial’ society, the IT revolution, biotechnology, the rise of ‘the Third Age’ and the need to preserve Antarctica as a wilderness. In the *Hawke Government, he was Minister for Science 1983–90, Prices and Consumer Affairs 1987, Small Business 1987–90 and Customs 1988–90. He became a member of the Executive Board of UNESCO, Paris 1991–95 and National President of the Australian Labor Party 1992–2000, 2005–06. He was Deputy Chairman of the Constitutional Convention 1998. His books include Decades of Decision 1860– (1965), Joseph II (1968) and Age of Apocalypse (1975), and he edited The Penalty Is Death (1968, revised and expanded 2022). Sleepers, Wake! Technology and the Future of Work was published by Oxford University Press in 1982, became a bestseller and has been translated into Chinese, Japanese, Korean, Swedish and braille. The fourth edition was published in 1995. Knowledge Courage Leadership: Insights & Reflections, a collection of speeches and essays, appeared in 2016. He received a DSc in 1988 for his services to science and a DLitt in 1993 for his work on information theory. Elected FTSE (1992), FAHA (1993), FAA (1996) and FASSA (2003), he is the only person to have become a Fellow of four of Australia’s five learned Academies. Awarded an AO in 1993, named as one of Australia’s 100 ‘living national treasures’ in 1997, he was elected a Visiting Fellow Commoner of Trinity College, Cambridge in 1999. His autobiography, A Thinking Reed, was published in 2006 and The Shock of Recognition, about music and literature, in 2016. In 2014 he received an AC for services ‘as a leading intellectual in Australian public life’. What Is to Be Done was published by Scribe in 2020.
FGCS '92
Author:
Publisher: IOS Press
Published: 1992
Total Pages: 498
ISBN-13: 9789051990997
DOWNLOAD EBOOKThe FGCS project was introduced at a congerence in 1981 and commenced the following year. This volume contains the reports on the final phase of the project, showing how the research goals set were achieved.
Introduction to Logic
Author: Alfred Tarski
Publisher: Courier Corporation
Published: 2013-07-04
Total Pages: 271
ISBN-13: 0486318893
DOWNLOAD EBOOKThis classic undergraduate treatment examines the deductive method in its first part and explores applications of logic and methodology in constructing mathematical theories in its second part. Exercises appear throughout.
