Best Mathematical Logic Books
Here you will get Best Mathematical Logic Books For you.This is an up-to-date list of recommended books.
1. Funster 1,000+ Sudoku Puzzles Easy to Hard: Sudoku puzzle book for adults
Author: by Charles Timmerman
Published at: Funster (November 4, 2019)
ISBN: 978-1732173774
New Sudoku puzzles from best-selling author Charles TimmermanSuitable for all levels: beginner to expertLOTS of puzzles: 330 Easy, 342 Medium, 330 HardExpertly crafted with accurate skill levelsBigger print than in most newspapers and magazines (and with better paper)Easy to tear out, thanks to wide marginsIncludes free bonus puzzles you can download
2. Gödel, Escher, Bach: An Eternal Golden Braid
Author: by Douglas R Hofstadter
Published at: Basic Books; Anniversary edition (February 5, 1999)
ISBN: 978-0465026562
Winner of the Pulitzer PrizeA metaphorical fugue on minds and machines in the spirit of Lewis CarrollDouglas Hofstadter’s book is concerned directly with the nature of “maps” or links between formal systems. However, according to Hofstadter, the formal system that underlies all mental activity transcends the system that supports it.
If life can grow out of the formal chemical substrate of the cell, if consciousness can emerge out of a formal system of firing neurons, then so too will computers attain human intelligence. Gdel, Escher, Bach is a wonderful exploration of fascinating ideas at the heart of cognitive science: meaning, reduction, recursion, and much more.
3. The Fallacy Detective: Thirty-Eight Lessons on How to Recognize Bad Reasoning
Author: by Nathaniel Bluedorn
Published at: Christian Logic; 4th edition (April 4, 2015)
ISBN: 978-0974531571
The Fallacy Detective has been the best selling text for teaching logical fallacies and introduction to logic for over 15 years.”Can learning logic be fun? With The Fallacy Detective it appears that it can be. I thoroughly enjoyed this book and would recommend it to anyone who wants to improve his reasoning skills.”-Tim Challies, curriculum reviewer”Cartoon and comic illustrations, humorous examples, and a very reader-friendly writing style make this the sort of course students will enjoy.”-Cathy Duffy, homeschool curriculum reviewer”I really like The Fallacy Detective because it has funny cartoons, silly stories, and teaches you a lot!”-11 Year OldWhat is a fallacy?
A fallacy is an error in logic a place where someone has made a mistake in his thinking. This is a handy book for learning to spot common errors in reasoning. For ages twelve through adult. Fun to use – learn skills you can use right away.
Peanuts, Dilbert, and Calvin and Hobbes cartoons. Includes The Fallacy Detective Game. Exercises with answer key.
4. Proofs: A Long-Form Mathematics Textbook (The Long-Form Math Textbook Series)
Author: by Jay Cummings
Published at: Independently published (January 19, 2021)
ISBN: 979-8595265973
This textbook is designed for students. Rather than the typical definition-theorem-proof-repeat style, this text includes much more commentary, motivation and explanation. The proofs are not terse, and aim for understanding over economy. Furthermore, dozens of proofs are preceded by “scratch work” or a proof sketch to give students a big-picture view and an explanation of how they would come up with it on their own.
This book covers intuitive proofs, direct proofs, sets, induction, logic, the contrapositive, contradiction, functions and relations. The text aims to make the ideas visible, and contains over 200 illustrations. The writing is relaxed and conversational, and includes periodic attempts at humor.
This text is also an introduction to higher mathematics. This is done in-part through the chosen examples and theorems. Furthermore, following every chapter is an introduction to an area of math. These include Ramsey theory, number theory, topology, sequences, real analysis, big data, game theory, cardinality and group theory.
5. Logic Puzzles for Kids Ages 6-8: A Fun Educational Brain Game Workbook for Kids With Answer Sheet: Brain Teasers, Math, Mazes, Logic Games, And More … (Hours of Fun for Kids Ages 6, 7, 8)
Author: by Jennifer L. Trace
Published at: Kids Activity Publishing (February 10, 2021)
ISBN: 978-1954392397
Give Your Child Screen-Free Entertainment & Education With Logic Puzzle Activities! Our Logic Puzzles for Kids Ages 6-8 provides hours of fun-filled activities! It is one of the best ways to educate kids, but at the same time entertain them. Your children will have the opportunity to improve on strategic thinking and enhance memory and brain power!
Produced and created by professional writers native in the English language Large activities made easy to see with cute picture themes Improve hand-coordination skills with our activities Enhance productivity and improve problem-solving skills Tons of fun for everyone in the familyOther than the above mentioned points, these activities for kids also provide numerous health benefits such as reduced stress and relaxation.
Includes a certificate on the back of the book that you can present to your child upon completion. Order Now and Enjoy One of the Best Logic Puzzles for Kids!
6. An Illustrated Book of Bad Arguments
Author: by Ali Almossawi
Published at: The Experiment; Illustrated edition (September 23, 2014)
ISBN: 978-1615192250
Did you know that Sudoku May Help Keep Your Brain 10 Years Younger? A study conducted by the International Journal of Geriatric Psychiatry (PROTECT study *) identified a close relationship between frequency of number-puzzle use and the quality of cognitive functions in adults over 50.
In particular, the study also found that people who do puzzles regularly have brain function equivalent to 10 years younger than their age. These findings further contribute to the growing evidence that engaging in mentally stimulating activities could benefit the brain functionality.
Your mind and enjoy hours of fun with this standout and quality Sudoku book for adults. Over 1100 Sudoku puzzles across four difficulty levelsEasyMediumHardSuper HardPuzzles will Keep your mind roused and stimulatedLarge book 8. 5 x 11 with 243 white pagesSkilfully generated with precise skill levelsSolutions available to all puzzlesBetter quality white paper so pleasant to look at and write onWide Margins so easy to fold book or tear the page outMakes a wonderful gift to family, friends or colleagues.
8. How to Solve It: A New Aspect of Mathematical Method (Princeton Science Library)
Author: by G. Polya
Published at: Princeton University Press; Reprint edition (October 27, 2014)
ISBN: 978-0691164076
A perennial bestseller by eminent mathematician G. Polya, How to Solve It will show anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be “reasoned” outfrom building a bridge to winning a game of anagrams.
Generations of readers have relished Polya’s deftindeed, brilliantinstructions on stripping away irrelevancies and going straight to the heart of the problem.
9. Nonogram Puzzle Books for Adults: Hanjie Picross Griddlers Puzzles Book | 108 Puzzles
Author: by Puzzle King Publishing
Published at: Independently published (June 1, 2020)
ISBN: 979-8650301486
Nonogram Puzzle BookNonograms are also known by many other names such as Japanese Crosswords, Picross, Hanjie or Griddlers. They are picture logic puzzles in which cells in a grid must be colored or left blank according to numbers at the side of the grid to reveal a hidden picture.
This Nonogram Puzzle Book is a fun way for teens or adults to sharpen their minds and test their logic. Including 108 Puzzles of varying size and difficulty to keep you entertained for hours. Nonogram Puzzle Book Features:Loads of Puzzles: 108 Puzzles from Small (10×10) to Large (20×30)Suitable for all Levels: Beginner to ExpertPerfectly Sized – 7″ x 10″Solutions Can be Found at the Back of the BookPremium Matte Color CoverPuzzle King Publishing: Puzzle Books for Everyone!
10. An Invitation to Applied Category Theory (Seven Sketches in Compositionality)
Author: by Brendan Fong
Published at: Cambridge University Press; 1st edition (August 29, 2019)
ISBN: 978-1108711821
Category theory is unmatched in its ability to organize and layer abstractions and to find commonalities between structures of all sorts. No longer the exclusive preserve of pure mathematicians, it is now proving itself to be a powerful tool in science, informatics, and industry.
By facilitating communication between communities and building rigorous bridges between disparate worlds, applied category theory has the potential to be a major organizing force. This book offers a self-contained tour of applied category theory. Each chapter follows a single thread motivated by a real-world application and discussed with category-theoretic tools.
We see data migration as an adjoint functor, electrical circuits in terms of monoidal categories and operads, and collaborative design via enriched profunctors. All the relevant category theory, from simple to sophisticated, is introduced in an accessible way with many examples and exercises, making this an ideal guide even for those without experience of university-level mathematics.
11. How to Prove It: A Structured Approach
Author: by Daniel J. Velleman
Published at: Cambridge University Press; 3rd edition (August 29, 2019)
ISBN: 978-1108439534
Proofs play a central role in advanced mathematics and theoretical computer science, yet many students struggle the first time they take a course in which proofs play a significant role. This bestselling text’s third edition helps students transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs.
Featuring over 150 new exercises and a new chapter on number theory, this new edition introduces students to the world of advanced mathematics through the mastery of proofs. The book begins with the basic concepts of logic and set theory to familiarize students with the language of mathematics and how it is interpreted.
These concepts are used as the basis for an analysis of techniques that can be used to build up complex proofs step by step, using detailed ‘scratch work’ sections to expose the machinery of proofs about numbers, sets, relations, and functions.
Assuming no background beyond standard high school mathematics, this book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and, of course, mathematicians.
12. My Best Mathematical and Logic Puzzles
Author: by Martin Gardner
Published at: Pmapublishing.com (June 8, 2017)
ISBN: 978-1684113729
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 mind-benders 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.
13. Descartes' Error: Emotion, Reason, and the Human Brain
Author: by Antonio Damasio
Published at: Penguin Books; Illustrated edition (September 27, 2005)
ISBN: 978-0143036227
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.
14. Category Theory in Context (Aurora: Dover Modern Math Originals)
Author: by Emily Riehl
Published at: Dover Publications (November 16, 2016)
ISBN: 978-0486809038
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.
15. The Annotated Turing: A Guided Tour Through Alan Turing's Historic Paper on Computability and the Turing Machine
Author: by Charles Petzold
Published at: Wiley; 1st edition (June 16, 2008)
ISBN: 978-0470229057
Programming Legend Charles Petzold unlocks the secrets of the extraordinary and prescient 1936 paper by Alan M. Turing Mathematician Alan Turing invented an imaginary computer known as the Turing Machine; in an age before computers, he explored the concept of what it meant to be computable, creating the field of computability theory in the process, a foundation of present-day computer programming.
The book expands Turing’s original 36-page paper with additional background chapters and extensive annotations; the author elaborates on and clarifies many of Turing’s statements, making the original difficult-to-read document accessible to present day programmers, computer science majors, math geeks, and others.
Interwoven into the narrative are the highlights of Turing’s own life: his years at Cambridge and Princeton, his secret work in cryptanalysis during World War II, his involvement in seminal computer projects, his speculations about artificial intelligence, his arrest and prosecution for the crime of “gross indecency,” and his early death by apparent suicide at the age of 41.
