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Books
Logic
The Art of Logic in an Illogical World
Lowest new price: $12.00
Lowest used price: $18.00
List price: $27.00
Author: Eugenia Cheng

How both logical and emotional reasoning can help us live better in our posttruth world
In a world where fake news stories change election outcomes, has rationality become futile? In The Art of Logic in an Illogical World, Eugenia Cheng throws a lifeline to readers drowning in the illogic of contemporary life. Cheng is a mathematician, so she knows how to make an airtight argument. But even for her, logic sometimes falls prey to emotion, which is why she still fears flying and eats more cookies than she should. If a mathematician can't be logical, what are we to do? In this book, Cheng reveals the inner workings and limitations of logic, and explains why alogicfor example, emotionis vital to how we think and communicate. Cheng shows us how to use logic and alogic together to navigate a world awash in bigotry, mansplaining, and manipulative memes. Insightful, useful, and funny, this essential book is for anyone who wants to think more clearly.
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Mathematical Proofs: A Transition to Advanced Mathematics (3rd Edition) (Featured Titles for Transition to Advanced Mathematics)
Lowest new price: $167.20
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Author: Gary Chartrand
Brand: Pearson

Mathematical Proofs: A Transition to Advanced Mathematics, Third Edition, prepares students for the more abstract mathematics courses that follow calculus. Appropriate for selfstudy or for use in the classroom, this text introduces students to proof techniques, analyzing proofs, and writing proofs of their own. Written in a clear, conversational style, this book provides a solid introduction to such topics as relations, functions, and cardinalities of sets, as well as the theoretical aspects of fields such as number theory, abstract algebra, and group theory. It is also a great reference text that students can look back to when writing or reading proofs in their more advanced courses.
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 Used Book in Good Condition
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An Introduction to Formal Languages and Automata
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List price: $198.95
Author: Peter Linz
Brand: imusti

An Introduction to Formal Languages and Automata, Sixth Edition provides an accessible, studentfriendly presentation of all material essential to an introductory Theory of Computation course. Written to address the fundamentals of formal languages, automata, and computability, the text is designed to familiarize students with the foundations and principles of computer science and to strengthen the students' ability to carry out formal and rigorous mathematical arguments. The author, Peter Linz, continues to offer a straightforward, uncomplicated treatment of formal languages and automata and avoids excessive mathematical detail allowing students to focus on and understand the key underlying principles.
New & Key Features:
• An accessible approach allows students to clearly understand key content while retaining the appropriate mathematical notations and theorems required for the course • New Chapter Synopsis, found at the end of each chapter, recap important concepts found in the text • Every major idea is preceded by a motivating example, drawn from applications, that introduces the concept and illustrates its usefulness • The exercise section has been restructured and improved with accessible exercises more closely tied to examples in the text • An enhanced Instructor's Manual includes more detailed solutions to problems found in the text
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My Best Mathematical and Logic Puzzles (Dover Recreational Math)
Lowest new price: $3.92
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Author: Martin Gardner
Brand: Dover Publications

Over a period of 25 years as author of the Mathematical Games column for Scientific American, Martin Gardner devoted a column every six months or so to short math problems or puzzles. He was especially careful to present new and unfamiliar puzzles that had not been included in such classic collections as those by Sam Loyd and Henry Dudeney. Later, these puzzles were published in book collections, incorporating reader feedback on alternate solutions or interesting generalizations. The present volume contains a rich selection of 70 of the best of these brain teasers, in some cases including references to new developments related to the puzzle. Now enthusiasts can challenge their solving skills and rattle their egos with such stimulating mindbenders as The Returning Explorer, The Mutilated Chessboard, Scrambled Box Tops, The Fork in the Road, Bronx vs. Brooklyn, Touching Cigarettes, and 64 other problems involving logic and basic math. Solutions are included.
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Sets and Computations (Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore)
Lowest new price: $104.07
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Author: Sy D Friedman

The contents in this volume are based on the program Sets and Computations that was held at the Institute for Mathematical Sciences, National University of Singapore from 30 March until 30 April 2015. This special collection reports on important and recent interactions between the fields of Set Theory and Computation Theory. This includes the new research areas of computational complexity in set theory, randomness beyond the hyperarithmetic, powerful extensions of Goodstein's theorem and the capturing of large fragments of set theory via elementaryrecursive structures. Further chapters are concerned with central topics within Set Theory, including cardinal characteristics, Fraïssé limits, the setgeneric multiverse and the study of ideals. Also Computation Theory, which includes computable group theory and measuretheoretic aspects of Hilbert's Tenth Problem. A volume of this broad scope will appeal to a wide spectrum of researchers in mathematical logic.
Readership: Researchers and graduate students in mathematical logic, especially those interested in set theory and recursion theory.


Descartes' Error: Emotion, Reason, and the Human Brain
Lowest new price: $5.78
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Author: Antonio Damasio
Brand: Damasio, Antonio R.

Since Descartes famously proclaimed, "I think, therefore I am," science has often overlooked emotions as the source of a person’s true being. Even modern neuroscience has tended, until recently, to concentrate on the cognitive aspects of brain function, disregarding emotions. This attitude began to change with the publication of Descartes’ Error in 1995. Antonio Damasio—"one of the world’s leading neurologists" (The New York Times)—challenged traditional ideas about the connection between emotions and rationality. In this wondrously engaging book, Damasio takes the reader on a journey of scientific discovery through a series of case studies, demonstrating what many of us have long suspected: emotions are not a luxury, they are essential to rational thinking and to normal social behavior.
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Mastering Logical Fallacies: The Definitive Guide to Flawless Rhetoric and Bulletproof Logic
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Author: Michael Withey

“If I have learned anything in ten years of formal debating, it is that arguments are no different: without a good understanding of the rules and tactics, you are likely to do poorly and be beaten.”―HENRY ZHANG, President of the Yale Debate Association Your argument is valid and you know it; yet once again you find yourself leaving a debate feeling defeated and embarrassed. The matter is only made worse when you realize that your defeat came at the hands of someone’s abuse of logic―and that with the right skills you could have won the argument. The ability to recognize logical fallacies when they occur is an essential life skill. Mastering Logical Fallacies is the clearest, boldest, and most systematic guide to dominating the rules and tactics of successful arguments. This book offers methodical breakdowns of the logical fallacies behind exceedingly common, yet detrimental, argumentative mistakes, and explores them through real life examples of logicgonewrong. Designed for those who are ready to gain the upper hand over their opponents, this master class teaches the necessary skills to identify your opponents’ misuse of logic and construct effective, arguments that win. With the empowering strategies offered in Mastering Logical Fallacies you’ll be able to reveal the slightofhand flaws in your challengers’ rhetoric, and seize control of the argument with bulletproof logic.
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Handbook of Categorical Algebra: Volume 2, Categories and Structures (Encyclopedia of Mathematics and its Applications)
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List price: $110.00
Author: Francis Borceux

The second volume, which assumes familiarity with the material in the first, introduces important classes of categories that have played a fundamental role in the subject's development and applications. In addition, after several chapters discussing specific categories, the book develops all the major concepts concerning Benabou's ideas of fibered categories.
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The Annotated Turing: A Guided Tour Through Alan Turing's Historic Paper on Computability and the Turing Machine
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Author: Charles Petzold
Brand: imusti

Programming Legend Charles Petzold unlocks the secrets of theextraordinary and prescient 1936 paper by Alan M. Turing Mathematician Alan Turing invented an imaginary computer knownas the Turing Machine; in an age before computers, he explored theconcept of what it meant to be computable, creating thefield of computability theory in the process, a foundation ofpresentday computer programming. The book expands Turing’s original 36page paper withadditional background chapters and extensive annotations; theauthor elaborates on and clarifies many of Turing’sstatements, making the original difficulttoread documentaccessible to present day programmers, computer science majors,math geeks, and others. Interwoven into the narrative are the highlights ofTuring’s own life: his years at Cambridge and Princeton, hissecret work in cryptanalysis during World War II, his involvementin seminal computer projects, his speculations about artificialintelligence, his arrest and prosecution for the crime of "grossindecency," and his early death by apparent suicide at the age of41.
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Infinity and Truth (Lecture Notes Series, Institute for Mathmatical Sciences, National University of Singapore)
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This volume is based on the talks given at the Workshop on Infinity and Truth held at the Institute for Mathematical Sciences, National University of Singapore, from 25 to 29 July 2011. The chapters are by leading experts in mathematical and philosophical logic that examine various aspects of the foundations of mathematics. The theme of the volume focuses on two basic foundational questions: (i) What is the nature of mathematical truth and how does one resolve questions that are formally unsolvable within the Zermelo–Fraenkel Set Theory with the Axiom of Choice, and (ii) Do the discoveries in mathematics provide evidence favoring one philosophical view over others? These issues are discussed from the vantage point of recent progresses in foundational studies.The final chapter features questions proposed by the participants of the Workshop that will drive foundational research. The wide range of topics covered here will be of benefit to students, researchers and mathematicians interested in the foundations of mathematics.


