Devlin, Keith, Introduction to Mathematical Thinking. First published, July some extent. (Mathematical thinking includes logical and analytic thinking as well as. Editorial Reviews. About the Author. Dr. Keith Devlin is a mathematician at Stanford University Introduction to Mathematical Thinking by [Devlin, Keith]. What would we mean by Mathematical Thinking? pdf .com/ Introduction-Mathematical-Thinking-Keith-Devlin/dp/
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MOOC: Introduction to Mathematical Thinking. Sep 17 – Nov 2, Standford University mtn-i.info#course/maththink. Keith Devlin (PhD). Learn how to think the way mathematicians do - a powerful cognitive process There is a course textbook, Introduction to Mathematical Thinking, by Keith Devlin , (as a downloadable PDF file, released at the same time as the lecture) that. Learn Introduction to Mathematical Thinking from Stanford University. Learn how to think the way n\nThank you Profesor Keith Devlin, you are a great teacher!.
It comes with a short Background Reading assignment, to read before you start the course, and a Reading Supplement on Set Theory for use later in the course, both in downloadable PDF format.
This initial orientation lecture is important, since this course is probably not like any math course you have taken before — even if in places it might look like one! This may all look like easy stuff, but tens of thousands of former students found they had trouble later by skipping through Week 1 too quickly! Be warned. If possible, form or join a study group and discuss everything with them.
Expect to spend a lot longer going through the lectures sufficiently well to understand the material. The time estimates for completing the weekly Problem Sets Quiz format are a bit more reliable, but even they are just a guideline. You may find yourself taking a lot longer. Show All.
Video 6 videos. Lecture 0 - Welcome 8m. Lecture 1 - Introductory Material 27m.
Lecture 2 - Logical Combinators 26m. Tutorial for Assignment 1 2m. Tutorial for Assignment 2 9m. Tutorial for Problem Set 1 9m. Quiz 1 practice exercise. Problem Set 1 s. In Week 2 we continue our discussion of formalized parts of language for use in mathematics.
By now you should have familiarized yourself with the basic structure of the course: Watch the first lecture and answer the in-lecture quizzes; tackle each of the problems in the associated Assignment sheet; THEN watch the tutorial video for the Assignment sheet. Lecture 3 - Implication 31m. Lecture 4 - Equivalence 24m. Using the course evaluation rubric 4m. Tutorial for Assignment 3 11m.
Tutorial for Assignment 4 21m. Tutorial for Problem Set 2 37m. Problem Set 2 s. This week we continue our analysis of language for use in mathematics. Remember, while the parts of language we are focusing have particular importance in mathematics, our main interest is in the analytic process itself: How do we formalize concepts from everyday life? If you have not yet found one or more people to work with, please try to do so. It is so easy to misunderstand this material.
Video 4 videos. Lecture 5 - Quantifiers 29m. Tutorial for Assignment 5 47m. Tutorial for Problem Set 3 23m. Problem Set 3 s. This week we complete our analysis of language, putting into place the linguistic apparatus that enabled, mathematicians in the 19th Century to develop a formal mathematical treatment of infinity, thereby finally putting Calculus onto a firm footing, three hundred years after its invention.
You do not need to know calculus for this course. It is all about being precise and unambiguous. But only where it counts.
We are trying to extend our fruitfully-flexible human language and reasoning, not replace them with a rule-based straightjacket! Lecture 6A - Working with Quantifiers 1 15m. Lecture 6B - Working with Quantifiers 2 28m. In fact, forget those "For Dummies" books or any of that other garbage. Learning tricks is all fine and good, but learn to be a problem solver because if you practice little by little and give yourself a chance you can find real joy in a skill far too few people have.
Paperback Verified download. If you want to understand the logic of mathematical thought and proofs, this is your book. The author thoroughly defines and uses the traditional symbols for logical combinators, quantifiers, and conditionals. He develops the very difficult concept of writing complete, effective proofs.
It's a little book on what at first appears to be a small subject. Don't be fooled, though. This is a tough, comprehensive study. This book and the associated Coursera course were transformative. I'm a self-taught programmer of some 20 years who went straight into a career and missed out on the college experience.
I've always read programming books and more recently watched videos and taken online courses about it. This book changed fundamentally the way that I look at the material and helped me break the "symbol barrier".
I would recommend it to any of my colleagues even those that may have had college but did not have access to Keith Devlin's unique teaching style.
Very interesting reading, made me realize the similarity between writing with intelligent grammar and analytic thinking.
I downloadd this book to go with a class on the same subject. The information is very good and helpful. The problem is that the Kindle version is missing some of the mathematical symbols in the text. Until I took the free course from Coursera class "Introduction to Mathematical Thinking" The book was not very helpful.
This is great at explaining concepts and highlighting which areas to focus. That said, after reading a few times and getting comfortable with concepts, I wish the problems had a solutions guide so I could check my work! One person found this helpful. The author does say that this book is not for self study at home. He is correct when he says this.
He states that this book is also for group study so that the answers can be discussed. This is difficult when you are a singular person.
I am retired and just thought that I could brush up on mathematics and what kind of thinking can make it easier. This is not the book for that purpose and certainly not for me. Maybe it is a good book for those that are mathematically inclined; but i guess that that is not me. For the right person or rather group of people it may be a 5 star book. The answers are also not included in the book. This also makes it very difficult for singular study.
For the size of this small book Mr. Devlin is a HIT! It is filled with information and ideas that connect math to actually thinking about it and not just memorizing Algorithms but truly thinking about why! This book is part of the best reading of this year. It is well suited to high school and early college years.
I am a teacher and this book has added to my thinking tool chest. See all reviews. site Giveaway allows you to run promotional giveaways in order to create buzz, reward your audience, and attract new followers and customers.
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