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Books

Logic


An Introduction to Mathematical Reasoning: Numbers, Sets and Functions

An Introduction to Mathematical Reasoning: Numbers, Sets and Functions Lowest new price: $35.50
Lowest used price: $27.58
List price: $44.99
Author: Peter J. Eccles
Brand: Cambridge University Press

This book eases students into the rigors of university mathematics. The emphasis is on understanding and constructing proofs and writing clear mathematics. The author achieves this by exploring set theory, combinatorics, and number theory, topics that include many fundamental ideas and may not be a part of a young mathematician's toolkit. This material illustrates how familiar ideas can be formulated rigorously, provides examples demonstrating a wide range of basic methods of proof, and includes some of the all-time-great classic proofs. The book presents mathematics as a continually developing subject. Material meeting the needs of readers from a wide range of backgrounds is included. The over 250 problems include questions to interest and challenge the most able student but also plenty of routine exercises to help familiarize the reader with the basic ideas.

Features:

  • Used Book in Good Condition

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Attacking Faulty Reasoning

Attacking Faulty Reasoning Lowest new price: $88.11
Lowest used price: $53.54
List price: $99.95
Author: T. Edward Damer
Brand: Brand: Cengage Learning

Increasingly, college courses and programs require a critical thinking component and include assignments meant to measure your critical thinking skills. ATTACKING FAULTY REASONING: A PRACTICAL GUIDE TO FALLACY-FREE ARGUMENTS, SEVENTH EDITION, can help you brush up on these skills and learn how to develop the logical, persuasive arguments you need now and throughout your career. This useful handbook addresses more than 60 common fallacies of logic with the help of over 200 memorable examples. It provides explanations and tips for "attacking" fallacious thinking, and is an ideal resource when writing papers, essays, or arguments.

Features:

  • Used Book in Good Condition

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Logic: Propositional Logic (Quick Study: Academic)

Logic: Propositional Logic (Quick Study: Academic) Lowest new price: $3.69
Lowest used price: $1.52
List price: $4.95
Author: Inc. BarCharts
Brand: Brand: BarCharts

This 4-page study guide contains fundamental logic definitions and analysis which is specifically designed to aid science students.

Features:

  • Used Book in Good Condition

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Categories for the Working Mathematician (Graduate Texts in Mathematics)

Categories for the Working Mathematician (Graduate Texts in Mathematics) Lowest new price: $56.40
Lowest used price: $42.00
List price: $74.95
Author: Saunders Mac Lane
Brand: imusti

An array of general ideas useful in a wide variety of fields. Starting from the foundations, this book illuminates the concepts of category, functor, natural transformation, and duality. It then turns to adjoint functors, which provide a description of universal constructions, an analysis of the representations of functors by sets of morphisms, and a means of manipulating direct and inverse limits. These categorical concepts are extensively illustrated in the remaining chapters, which include many applications of the basic existence theorem for adjoint functors. The categories of algebraic systems are constructed from certain adjoint-like data and characterised by Beck's theorem. After considering a variety of applications, the book continues with the construction and exploitation of Kan extensions. This second edition includes a number of revisions and additions, including new chapters on topics of active interest: symmetric monoidal categories and braided monoidal categories, and the coherence theorems for them, as well as 2-categories and the higher dimensional categories which have recently come into prominence.

Features:

  • Springer

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Everything and More: A Compact History of Infinity

Everything and More: A Compact History of Infinity Lowest new price: $7.91
Lowest used price: $5.23
List price: $16.95
Author: David Foster Wallace
Brand: W W Norton Company

"A gripping guide to the modern taming of the infinite."―The New York Times. With a new introduction by Neal Stephenson.

Is infinity a valid mathematical property or a meaningless abstraction? David Foster Wallace brings his intellectual ambition and characteristic bravura style to the story of how mathematicians have struggled to understand the infinite, from the ancient Greeks to the nineteenth-century mathematical genius Georg Cantor's counterintuitive discovery that there was more than one kind of infinity. Smart, challenging, and thoroughly rewarding, Wallace's tour de force brings immediate and high-profile recognition to the bizarre and fascinating world of higher mathematics.

Features:

  • W W Norton Company

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Logic Made Easy: How to Know When Language Deceives You

Logic Made Easy: How to Know When Language Deceives You Lowest new price: $3.98
Lowest used price: $2.00
List price: $16.95
Author: Deborah J. Bennett

"The best introduction to logic you will find."―Martin Gardner

"Professor Bennett entertains as she instructs," writes Publishers Weekly about the penetrating yet practical Logic Made Easy. This brilliantly clear and gratifyingly concise treatment of the ancient Greek discipline identifies the illogical in everything from street signs to tax forms. Complete with puzzles you can try yourself, Logic Made Easy invites readers to identify and ultimately remedy logical slips in everyday life. Designed with dozens of visual examples, the book guides you through those hair-raising times when logic is at odds with our language and common sense. Logic Made Easy is indeed one of those rare books that will actually make you a more logical human being. 36 illustrations.

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Symbolic Logic: Syntax, Semantics, and Proof

Symbolic Logic: Syntax, Semantics, and Proof Lowest new price: $68.00
Lowest used price: $45.00
List price: $85.00
Author: David Agler
Brand: Brand: Rowman Littlefield Publishers

Brimming with visual examples of concepts, derivation rules, and proof strategies, this introductory text is ideal for students with no previous experience in logic. Symbolic Logic: Syntax, Semantics, and Proof introduces students to the fundamental concepts, techniques, and topics involved in deductive reasoning. Agler guides students through the basics of symbolic logic by explaining the essentials of two classical systems, propositional and predicate logic. Students will learn translation both from formal language into English and from English into formal language; how to use truth trees and truth tables to test propositions for logical properties; and how to construct and strategically use derivation rules in proofs. This text makes this often confounding topic much more accessible with step-by-step example proofs, chapter glossaries of key terms, hundreds of homework problems and solutions for practice, and suggested further readings.

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  • Used Book in Good Condition

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The Logic Book

The Logic Book Lowest new price: $179.95
Lowest used price: $14.36
List price: $211.01
Author: Merrie Bergmann

This leading text for symbolic or formal logic courses presents all techniques and concepts with clear, comprehensive explanations, and includes a wealth of carefully constructed examples. Its flexible organization (with all chapters complete and self-contained) allows instructors the freedom to cover the topics they want in the order they choose.

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Beyond Infinity: An Expedition to the Outer Limits of Mathematics

Beyond Infinity: An Expedition to the Outer Limits of Mathematics Lowest new price: $8.45
Lowest used price: $3.50
List price: $27.00
Author: Eugenia Cheng
Brand: BASIC

"[Cheng] does a great service by showing us non-mathematician schlubs how real mathematical creativity works."
--Wall Street Journal

How big is the universe? How many numbers are there? And is infinity + 1 is the same as 1 + infinity? Such questions occur to young children and our greatest minds. And they are all the same question: What is infinity? In Beyond Infinity, Eugenia Cheng takes us on a staggering journey from elemental math to its loftiest abstractions. Along the way, she considers how to use a chessboard to plan a worldwide dinner party, how to make a chicken-sandwich sandwich, and how to create infinite cookies from a finite ball of dough. Beyond Infinity shows how one little symbol holds the biggest idea of all.

Features:

  • BASIC

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A TeXas Style Introduction to Proof (Maa Textbooks)

A TeXas Style Introduction to Proof (Maa Textbooks) Lowest new price: $50.00
Lowest used price: $299.96
List price: $50.00
Author: Ron Taylor and Patrick X. Rault

A TeXas Style Introduction to Proof is an IBL textbook designed for a one-semester course on proofs (the ""bridge course"") that also introduces TeX as a tool students can use to communicate their work. As befitting ""textless"" text, the book is, as one reviewer characterized it, ""minimal."" Written in an easy-going style, the exposition is just enough to support the activities, and it is clear, concise, and effective. The book is well organized and contains ample carefully selected exercises that are varied, interesting, and probing, without being discouragingly difficult.

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