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Books

Logic


How to Bake Pi: An Edible Exploration of the Mathematics of Mathematics

How to Bake Pi: An Edible Exploration of the Mathematics of Mathematics Lowest new price: $3.59
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List price: $16.99
Author: Eugenia Cheng
Brand: Basic Books AZ

"Whimsical...rigorous and insightful." -- New York Times Book Review

What is math? How exactly does it work? And what do three siblings trying to share a cake have to do with it? In How to Bake Pi, math professor Eugenia Cheng provides an accessible introduction to the logic and beauty of mathematics, powered, unexpectedly, by insights from the kitchen. We learn how the béchamel in a lasagna can be a lot like the number five, and why making a good custard proves that math is easy but life is hard. At the heart of it all is Cheng's work on category theory, a cutting-edge "mathematics of mathematics," that is about figuring out how math works.

Combined with her infectious enthusiasm for cooking and true zest for life, Cheng's perspective on math is a funny journey through a vast territory no popular book on math has explored before. So, what is math? Let's look for the answer in the kitchen.

Features:

  • Basic Books AZ

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Can You Solve My Problems?: Ingenious, Perplexing, and Totally Satisfying Math and Logic Puzzles

Can You Solve My Problems?: Ingenious, Perplexing, and Totally Satisfying Math and Logic Puzzles Lowest new price: $4.01
Lowest used price: $2.31
List price: $15.95
Author: Alex Bellos
Brand: EXPERIMENT

Puzzle lovers, rejoice!

Bestselling math writer Alex Bellos has a challenge for you: 125 of the world’s best brainteasers from the last two millennia.

Armed with logic alone, you’ll detect counterfeit coins, navigate river crossings, and untangle family trees. Then—with just a dash of high school math—you’ll tie a rope around the Earth, match wits with a cryptic wizard, and use four 4s to create every number from 1 to 50. (It can be done!)

The ultimate casebook for daring puzzlers, Can You Solve My Problems? also tells the story of the puzzle—from ancient China to Victorian England to modern-day Japan. Grab your pencil and get puzzling!

Features:

  • EXPERIMENT

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Category Theory in Context (Aurora: Dover Modern Math Originals)

Category Theory in Context (Aurora: Dover Modern Math Originals) Lowest new price: $17.13
Lowest used price: $15.83
List price: $29.95
Author: Emily Riehl

Category theory has provided the foundations for many of the twentieth century's greatest advances in pure mathematics. This concise, original text for a one-semester introduction to the subject is derived from courses that author Emily Riehl taught at Harvard and Johns Hopkins Universities. The treatment introduces the essential concepts of category theory: categories, functors, natural transformations, the Yoneda lemma, limits and colimits, adjunctions, monads, Kan extensions, and other topics.

Suitable for advanced undergraduates and graduate students in mathematics, the text provides tools for understanding and attacking difficult problems in algebra, number theory, algebraic geometry, and algebraic topology. Drawing upon a broad range of mathematical examples from the categorical perspective, the author illustrates how the concepts and constructions of category theory arise from and illuminate more basic mathematical ideas. While the reader will be rewarded for familiarity with these background mathematical contexts, essential prerequisites are limited to basic set theory and logic.

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What Is the Name of This Book?: The Riddle of Dracula and Other Logical Puzzles (Dover Recreational Math)

What Is the Name of This Book?: The Riddle of Dracula and Other Logical Puzzles (Dover Recreational Math) Lowest new price: $6.78
Lowest used price: $5.41
List price: $14.95
Author: Raymond M. Smullyan
Brand: Dover Publications

"The most original, most profound, and most humorous collection of recreational logic and math problems ever written." — Martin Gardner, Scientific American
"The value of the book lies in the wealth of ingenious puzzles. They afford amusement, vigorous exercise, and instruction." — Willard Van Orman Quine, The New York Times Book Review
If you're intrigued by puzzles and paradoxes, these 200 mind-bending logic puzzles, riddles, and diversions will thrill you with challenges to your powers of reason and common sense. Raymond M. Smullyan — a celebrated mathematician, logician, magician, and author — presents a logical labyrinth of more than 200 increasingly complex problems. The puzzles delve into Gödel's undecidability theorem and other examples of the deepest paradoxes of logic and set theory. Detailed solutions follow each puzzle.

Features:

  • Used Book in Good Condition

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Computational Complexity: A Modern Approach

Computational Complexity: A Modern Approach Lowest new price: $45.95
Lowest used price: $22.15
List price: $64.99
Author: Sanjeev Arora
Brand: Brand: Cambridge University Press

This beginning graduate textbook describes both recent achievements and classical results of computational complexity theory. Requiring essentially no background apart from mathematical maturity, the book can be used as a reference for self-study for anyone interested in complexity, including physicists, mathematicians, and other scientists, as well as a textbook for a variety of courses and seminars. More than 300 exercises are included with a selected hint set.

Features:

  • Used Book in Good Condition

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Logic: Techniques of Formal Reasoning

Logic: Techniques of Formal Reasoning Lowest new price: $62.99
Lowest used price: $37.36
List price: $99.95
Author: Donald Kalish

Logic: Techniques of Formal Reasoning, 2/e is an introductory volume that teaches students to recognize and construct correct deductions. It takes students through all logical steps--from premise to conclusion--and presents appropriate symbols and terms, while giving examples to clarify principles. Logic, 2/e uses models to establish the invalidity of arguments, and includes exercise sets throughout, ranging from easy to challenging. Solutions are provided to selected exercises, and historical remarks discuss major contributions to the theories covered.

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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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Schaum's Outline of Logic, Second Edition (Schaum's Outlines)

Schaum's Outline of Logic, Second Edition (Schaum's Outlines) Lowest new price: $7.50
Lowest used price: $3.62
List price: $22.00
Author: John Nolt
Brand: imusti

The ideal review for your logic course

More than 40 million students have trusted Schaum’s Outlines for their expert knowledge and helpful solved problems. Written by renowned experts in their respective fields, Schaum’s Outlines cover everything from math to science, nursing to language. The main feature for all these books is the solved problems. Step-by-step, authors walk readers through coming up with solutions to exercises in their topic of choice.

  • 500 solved problems
  • Includes non-classical logics
  • Covers the probability calculus
  • Complements or supplements the major Logic textbooks
  • Appropriate for the following courses: Introduction to Formal Logic, Informal Logic, Logic Programming, Algebra
  • Complete course content in easy-to-follow outline form
  • Hundreds of solved problems for effective test preparation

Features:

  • McGraw-Hill

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Qualitative Spatial and Temporal Reasoning (Iste)

Qualitative Spatial and Temporal Reasoning (Iste) Lowest new price: $170.53
Lowest used price: $171.41
List price: $219.00
Author: Gérard Ligozat

Starting with an updated description of Allen's calculus, the bookproceeds with a description of the main qualitative calculi whichhave been developed over the last two decades.  It describesthe connection of complexity issues to geometric properties. Modelsof the formalisms are described using the algebraic notion of weakrepresentations of the associated algebras. The book also includesa presentation of fuzzy extensions of qualitative calculi, and adescription of the study of complexity in terms of clones ofoperations.


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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