Keith Devlin

Why is math so hard? And why, despite this difficulty, are some people so good at it? If there's some inborn capacity for mathematical thinking—which there must be, otherwise no one could do it —why can't we all do it well? Keith Devlin has answers to all these difficult questions, and in giving them shows us how mathematical ability evolved, why it's a part of language ability, and how we can make better use of this innate talent.He also offers a breathtakingly new theory of language development—that language evolved in two stages, and its main purpose was not communication—to show that the ability to think mathematically arose out of the same symbol-manipulating ability that was so crucial to the emergence of true language. Why, then, can't we do math as well as we can speak? The answer, says Devlin, is that we can and do—we just don't recognize when we're using mathematical reasoning.

How Mathematical Thinking Evolved And Why Numbers Are Like Gossip

The Math Gene

Traces the life of the mathematician who introduced Arabic numbers to Western Europe, including how the book "Liber Abbaci" enabled people to understand numbers, engage in commerce, and make advances in the fields of science, technology, and business.

Fibonacci's Arithmetic Revolution

The Man of Numbers

Gary Lorden

The companion to the hit CBS crime series Numb3rs presents the fascinating way mathematics is used to fight real-life crime Using the popular CBS prime-time TV crime series Numb3rs as a springboard, Keith Devlin (known to millions of NPR listeners as the Math Guy on NPR's Weekend Edition with Scott Simon) and Gary Lorden (the principal math advisor to Numb3rs) explain real-life mathematical techniques used by the FBI and other law enforcement agencies to catch and convict criminals. From forensics to counterterrorism, the Riemann hypothesis to image enhancement, solving murders to beating casinos, Devlin and Lorden present compelling cases that illustrate how advanced mathematics can be used in state-of-the-art criminal investigations.

Solving Crime with Mathematics

The Numbers Behind NUMB3RS

Award-winning author Keith Devlin reveals the vital role mathematics plays in our eternal quest to understand who we are and the world we live in. More than just the study of numbers, mathematics provides us with the eyes to recognize and describe the hidden patterns of life.

Making the Invisible Visible

The Language of Mathematics

To most people, mathematics means working with numbers. But as Keith Devlin shows in Mathematics: The Science of Patterns, this definition has been out of date for nearly 2,500 years. Mathematicians now see their work as the study of patterns—real or imagined, visual or mental, arising from the natural world or from within the human mind. Using this basic definition as his central theme, Devlin explores the patterns of counting, measuring, reasoning, motion, shape, position, and prediction, revealing the powerful influence mathematics has over our perception of reality. Interweaving historical highlights and current developments, and using a minimum of formulas, Devlin celebrates the precision, purity, and elegance of mathematics.

The Science of Patterns: The Search for Order in Life, Mind and the Universe

Mathematics

In 2000, the Clay Foundation announced a historic competition: whoever could solve any of seven extraordinarily difficult mathematical problems, and have the solution acknowledged as correct by the experts, would receive 1 million in prize money. There was some precedent for doing this: In 1900 the mathematician David Hilbert proposed twenty-three problems that set much of the agenda for mathematics in the twentieth century. The Millennium Problems--chosen by a committee of the leading mathematicians in the world--are likely to acquire similar stature, and their solution (or lack of it) is likely to play a strong role in determining the course of mathematics in the twenty-first century. Keith Devlin, renowned expositor of mathematics and one of the authors of the Clay Institute's official description of the problems, here provides the definitive account for the mathematically interested reader.

The Seven Greatest Unsolved Mathematical Puzzles Of Our Time

The Millennium Problems

Why You're a Mathematical Genius (Along with Lobsters, Birds, Cats, and Dogs)

The Math Instinct

The End of Logic and the Search for a New Cosmology of the Mind

Goodbye, Descartes

Fibonacci'nin Izinde; Dünyayi Degistiren Unutulmus Matematik Dehasini Yeniden Kesfetmek

This text covers the parts of contemporary set theory relevant to other areas of pure mathematics. After a review of "naïve" set theory, it develops the Zermelo-Fraenkel axioms of the theory before discussing the ordinal and cardinal numbers. It then delves into contemporary set theory, covering such topics as the Borel hierarchy and Lebesgue measure. A final chapter presents an alternative conception of set theory useful in computer science.

Fundamentals of Contemporary Set Theory

The Joy of Sets

A companion book to the PBS series reveals the myriad ways mathematical ideas can explain the world

Life by the Numbers

Tutti conoscono la "successione di Fibonacci": una sequenza di cifre nascosta in molti fenomeni naturali che da oltre ottocento anni affascina i matematici, e che si dice possa predire l'andamento dei mercati finanziari. Ma chi fu in realtà Fibonacci, considerato il maggiore matematico del Medioevo, che comprese per primo che le "nove figure indiane" e soprattutto zephirum, lo zero,avrebbero cambiato il mondo in cui viveva? In un affascinante viaggio che ripercorre la vita di questo genio intraprendente, Keith Devlin permette al lettore di riscoprire una figura cruciale e misteriosa del nostro passato, che con le sue ricerche e il suo Liber abbaci - il più importante testo di algebra del tempo che spiegava come adottare il sistema numerico indo-arabico - mostrò all'Europa i risvolti pratici e commerciali della matematica, e aprì così la strada all'ascesa del Vecchio continente verso il dominio scientifico ed economico mondiale.

I numeri magici di Fibonacci

Duska Rosenberg

People are very creative in their use of language. This observation was made convincingly by Chomsky in the 1950s and is generally accepted in the scientific communities concerned with the study of language. Computers, on the other hand, are neither creative, flexible, nor adaptable. This is in spite of the fact that their ability to process language is based largely on the grammars developed by linguists and computer scientists. Thus, there is a mismatch between the observed human creativity and our ability as theorists to explain it. Language at Work examines grammars and other descriptions of language by combining the scientific and the practical. The scientific motivation is to unite distinct intellectual traditions, mathematics and descriptive social science, which have tried to provide an adequate explanation of language and its use on their own to no avail. This volume argues that Situation Theory, a theory of information couched in mathematics, has provided a uniform framework for the investigation of the creative aspects of language use. The application of Situation Theory in the study of language use in everyday communication to improve human/computer interaction is explored and espoused.

Analyzing Communication Breakdown in the Workplace to Inform Systems Design

Language at Work

Intelligence can be characterised both as the ability to absorb and process information and as the ability to reason. Humans and other animals have both of these abilities to a greater or lesser degree, but the search for artificial intelligence has been hampered by our inability to create a theory that covers both of these characteristics. In this provocative and ground-breaking book, Professor Keith Devlin argues that to obtain a deeper understanding of the nature of intelligence and knowledge acquisition, we must broaden our concept of logic. For these purposes, Devlin introduces the concept of the infon, a quantum of information, and merges it with situations, a mathematical construction generalising the notion of sets developed by Barwise and Perry at Stanford University in order to study the meaning of natural languages. He develops and describes the theory here in general and intuitive terms, and discusses its relevance to a variety of concerns such as artificial intelligence, cognition, natural language and communication.

Logic and Information

Keith Devlin. You know him. You've read his columns in MAA Online, you've heard him on the radio, and you've seen his popular mathematics books. In between all those activities and his own research, he's been hard at work revising Sets, Functions and Logic, his standard-setting text that has smoothed the road to pure mathematics for legions of undergraduate students. Now in its third edition, Devlin has fully reworked the book to reflect a new generation. The narrative is more lively and less textbook-like. Remarks and asides link the topics presented to the real world of students' experience. The chapter on complex numbers and the discussion of formal symbolic logic are gone in favor of more exercises, and a new introductory chapter on the nature of mathematics--one that motivates readers and sets the stage for the challenges that lie ahead. Students crossing the bridge from calculus to higher mathematics need and deserve all the help they can get. Sets, Functions, and Logic, Third Edition is an affordable little book that all of your transition-course students not only can afford, but will actually read...and enjoy...and learn from. About the Author Dr. Keith Devlin is Executive Director of Stanford University's Center for the Study of Language and Information and a Consulting Professor of Mathematics at Stanford. He has written 23 books, one interactive book on CD-ROM, and over 70 published research articles. He is a Fellow of the American Association for the Advancement of Science, a World Economic Forum Fellow, and a former member of the Mathematical Sciences Education Board of the National Academy of Sciences,. Dr. Devlin is also one of the world's leading popularizers of mathematics. Known as "The Math Guy" on NPR's Weekend Edition, he is a frequent contributor to other local and national radio and TV shows in the US and Britain, writes a monthly column for the Web journal MAA Online, and regularly writes on mathematics and computers for the British newspaper The Guardian.

An Introduction to Abstract Mathematics, Third Edition

Sets, Functions, and Logic

Professor Keith Devlin

A narrative that traces how the concept of the mind as a logic machine developed over time asserts that logic is an inadequate model for the human mind's functionality and concludes that current efforts at replicating human thought will most likely fail. 15,000 first printing. $25,000 ad/promo.

In this short e-book (about 14,000 words), Stanford mathematician and NPR's "Math Guy" Keith Devlin Ph.D. presents the fascinating similarities between 13th Century mathematician Leonardo of Pisa, more commonly known as Fibonacci, and Steve Jobs, the 20th Century founder of Apple computers. In 1202, 32-year old Italian Leonardo of Pisa finished one of the most influential books of all time, which introduced modern arithmetic to Western Europe. Devised in India in the 7th and 8th centuries and brought to North Africa by Muslim traders, the Hindu-Arabic system helped transform the West into the dominant force in science, technology, and commerce, leaving behind Muslim cultures which had long known it but had failed to see its potential. Leonardo had learned the Hindu number system when he traveled to North Africa with his father, a customs agent. The book he created was Liber Abbaci, the "Book of Calculation," and the revolution that followed its publication was enormous. Arithmetic made it possible for ordinary people to buy and sell goods, convert currencies, and keep accurate records of possessions more readily than ever before. Liber Abbaci's publication led directly to large-scale international commerce and the scientific revolution of the Renaissance.In "Leonardo & Steve," Devlin shows the uncanny parallels between Leonardo's arithmetic revolution that took place in Tuscany in the Thirteenth Century and the one that began in California's Silicon Valley in more recent times. It is a story about the personal computing revolution that occurred in the 1980s, but with the novel twist that it was actually history repeating itself.

Leonardo and Steve: the Young Genius Who Beat Apple to Market by 800 Years

Stanford mathematician and NPR Math Guy Keith Devlin explains why, fun aside, video games are the ideal medium to teach middle-school math. Aimed primarily at teachers and education researchers, but also of interest to game developers who want to produce videogames for mathematics education, Mathematics Education for a New Era: Video Games as a Medium for Learning describes exactly what is involved in designing and producing successful math educational videogames that foster the innovative mathematical thinking skills necessary for success in a global economy. Read the author's monthly MAA column Devlin's Angle

Video Games as a Medium for Learning

Mathematics Education for a New Era

Jonathan Borwein

Papier und Bleistift wurden lange als die einzigen Hilfsmittel der Mathematiker betrachtet (einige würden hier auch noch den Papierkorb dazuzählen). Wie in vielen anderen Gebieten auch, hat allerdings in den letzten Jahren der Einsatz von Computern in der Mathematik stark zugenommen und somit die Rolle des Experiments in der Mathematik erweitert und legitimiert. Wie können Mathematiker den Computer als Werkzeug benutzen? Und kann er vielleicht nicht nur als Werkzeug, sondern sogar als Mitarbeiter eingesetzt werden? Keith Devlin und Jonathan Borwein, zwei bekannte Mathematiker mit Expertise in unterschiedlichen mathematischen Spezialgebieten, aber mit einem gemeinsamen Interesse am Experimentieren in der Mathematik, haben sich für diese Einführung in die experimentelle Mathematik zusammengetan. Sie behandeln eine Vielfalt an Themen und Beispielen, um dem Leser einen guten Einblick in die aktuelle Entwicklung dieses rasch wachsenden neuen Gebietes zu geben. Die Darstellung ist klar und übersichtlich; die Erläuterungen sind durch historische Fakten und Geschichten von Mathematikern und deren Begegnungen mit dem Gebiet der experimentellen Mathematik angereichert. Stimme zur Originalausgabe: “Das Buch wird für jeden Leser für Interesse sein, der anhand Kostproben kennen lernen möchte, wie man mathematische Problem mit einem Computer löst. Es macht nichts, wenn die Leser nicht viele mathematische Kenntnisse mitbringen: Sie können das Wesentliche des Buchs verstehen und Spaß dabei haben, einige Fragestellungen experimentell zu erforschen.“ Valentina Dagienë, Zentralblatt MATH

Eine beispielorientierte Einführung

Experimentelle Mathematik

The story of the medieval genius whose 1202 book changed the course of mathematics in the West and helped bring on the modern era.

Keith Devlin

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