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OFFICIAL VERIFIED

Introduction to Mathematical Thinking

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3.94
80,861 ratings · 8,506 reviews
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OFFICIAL VERIFIED

Introduction to Mathematical Thinking

3.94 80,861 ratings · 8,506 reviews
Discover Introduction to Mathematical Thinking by Keith Devlin. Start reading today and explore ideas, insights, and experiences that stay with you.

Overview: In the twenty-first century, everyone can benefit from being able to think mathematically. This is not the same as “doing math.” The latter usually involves the application of formulas, procedures, and symbolic manipulations; mathematical thinking is a powerful way of thinking about things in the world -- logically, analytically, quantitatively, and with precision. It is not a natural way of thinking, but it can be learned. Mathematicians, scientists, and engineers need to “do math,” and it takes many years of college-level education to learn all that is required. Mathematical thinking is valuable to everyone, and can be mastered in about six weeks by anyone who has completed high school mathematics. Mathematical thinking does not have to be about mathematics at all, but parts of mathematics provide the ideal target domain to learn how to think that way, and that is the approach taken by this short but valuable book. The book is written primarily for first and second year students of science, technology, engineering, and mathematics (STEM) at colleges and universities, and for high school students intending to study a STEM subject at university. Many students encounter difficulty going from high school math to college-level mathematics. Even if they did well at math in school, most are knocked off course for a while by the shift in emphasis, from the K-12 focus on mastering procedures to the “mathematical thinking” characteristic of much university mathematics. Though the majority survive the transition, many do not. To help them make the shift, colleges and universities often have a “transition course.” This book could serve as a textbook or a supplementary source for such a course. Because of the widespread applicability of mathematical thinking, however, the book has been kept short and written in an engaging style, to make it accessible to anyone who seeks to extend and improve their analytic thinking skills. Going beyond a basic grasp of analytic thinking that everyone can benefit from, the STEM student who truly masters mathematical thinking will find that college-level mathematics goes from being confusing, frustrating, and at times seemingly impossible, to making sense and being hard but doable. Dr. Keith Devlin is a professional mathematician at Stanford University and the author of 31 previous books and over 80 research papers. His books have earned him many awards, including the Pythagoras Prize, the Carl Sagan Award, and the Joint Policy Board for Mathematics Communications Award. He is known to millions of NPR listeners as “the Math Guy” on Weekend Edition with Scott Simon. He writes a popular monthly blog “Devlin’s Angle” for the Mathematical Association of America, another blog under the name “profkeithdevlin”, and also blogs on various topics for the Huffington Post.

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Details & Genres

Mathematics Math Science Maths Non Fiction Nonfiction Stem
Length 102 pages
Language Eng
Publisher Keith Devlin
Published 2012
ISBN-13 16010552

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Keith Devlin
About the Author Keith Devlin
16,742 followers

Keith Devlin is the author of several novels. Originally from the East Coast, they now live in the Midwest with family. In addition to writing, Keith Devlin enjoys gardening, cooking, and reading way past bedtime. Their work often explores the complexities of everyday life and human relationships.

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3.94
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Carol Green
Carol Green January 30, 2024
A solid read. I liked the main character, though some of the side plots were just okay. Not bad at all.
Gary Flores
Gary Flores June 07, 2024
Finished it in a couple of days. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. Worth the time and money.
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John Lee
John Lee May 23, 2025
I was pleasantly surprised. The writing style is very engaging. It’s easy to follow but still has a lot of depth. Glad I picked this up.
Amanda Anderson
Amanda Anderson March 10, 2025
I was pleasantly surprised. The writing style is very engaging. It’s easy to follow but still has a lot of depth. Will be looking for more from this author.
George Perez
George Perez December 15, 2024
I liked it for the most part. Writing is good, just wish there was a bit more depth in certain parts. Still kept my attention though. Still a good book.
Brian White
Brian White June 08, 2025
Really enjoyed this one. The writing style is very engaging. It’s easy to follow but still has a lot of depth. Would probably read it again at some point.
Joshua Walker
Joshua Walker July 27, 2024
Took me a few chapters to get into it, but it was worth it. The middle dragged a tiny bit, but the ending totally made up for it. Still a good book.
Brian White
Brian White December 09, 2024
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Thomas Gonzalez
Thomas Gonzalez January 04, 2024
I have mixed feelings about this one. The writing was fine, but I didn't feel very connected to the characters. They felt a bit flat. Just right down the middle.
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Stephanie Perez September 11, 2024
Honestly one of the better books I've read lately. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Definitely recommend it if you like this genre.
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Karen Williams October 09, 2025
Honestly one of the better books I've read lately. The writing style is very engaging. It’s easy to follow but still has a lot of depth. Worth the time and money.
Melissa Reyes
Melissa Reyes December 17, 2025
Pretty good overall. It held my attention, even if a few things were a little predictable. Not bad at all.
George Flores
George Flores October 26, 2025
Took me a few chapters to get into it, but it was worth it. Writing is good, just wish there was a bit more depth in certain parts. Still kept my attention though. Not bad at all.
Cynthia Rodriguez
Cynthia Rodriguez October 15, 2025
Really enjoyed this one. I loved how the story unfolded. It kept me guessing without being too confusing. Will be looking for more from this author.
Joshua Anderson
Joshua Anderson October 13, 2025
Glad someone recommended this to me. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. Would probably read it again at some point.
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Finished it in a couple of days. I got really invested in the main character's journey. Everything just clicked for me. A solid 5/5 for me.
Sharon Scott
Sharon Scott February 02, 2024
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Christopher Sanchez
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Charles Brown
Charles Brown December 28, 2024
Finished it in a couple of days. The writing style is very engaging. It’s easy to follow but still has a lot of depth. A solid 5/5 for me.
Anthony Hall
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I have mixed feelings about this one. It had some good moments, but the overall plot felt a bit disjointed in the second half. Probably won't read it again, but it was an okay way to pass the time.
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Jacob Carter March 17, 2024
It was okay. The writing was fine, but I didn't feel very connected to the characters. They felt a bit flat. Just right down the middle.
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Rebecca Martin
Rebecca Martin November 25, 2024
A solid read. Interesting premise and executed fairly well. Just a few slow chapters here and there. I'd probably recommend it to a friend.
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I have mixed feelings about this one. It had some good moments, but the overall plot felt a bit disjointed in the second half. Just right down the middle.
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Finished it in a couple of days. I got really invested in the main character's journey. Everything just clicked for me. Worth the time and money.
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It was just alright. It felt a bit repetitive in the middle. Could have been shorter. Probably won't read it again, but it was an okay way to pass the time.
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I was pleasantly surprised. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Glad I picked this up.
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Melissa Wright
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Gary Moore
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Glad someone recommended this to me. The writing style is very engaging. It’s easy to follow but still has a lot of depth. Worth the time and money.
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Such a great read. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. Worth the time and money.
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Jennifer Sanchez September 22, 2024
I was pleasantly surprised. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. Will be looking for more from this author.
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It was okay. It had some good moments, but the overall plot felt a bit disjointed in the second half. Just right down the middle.
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I liked it for the most part. Interesting premise and executed fairly well. Just a few slow chapters here and there. I'd probably recommend it to a friend.
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Glad someone recommended this to me. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Would probably read it again at some point.
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I was pleasantly surprised. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Definitely recommend it if you like this genre.
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Glad someone recommended this to me. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. Will be looking for more from this author.
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I was pleasantly surprised. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. Will be looking for more from this author.
David Evans
David Evans October 31, 2025
Such a great read. The author did a great job wrapping everything up at the end. No weird plot holes left behind. Glad I picked this up.
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Emily Thompson May 17, 2025
Really enjoyed this one. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. Would probably read it again at some point.
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Jennifer Sanchez August 09, 2025
I was pleasantly surprised. I got really invested in the main character's journey. Everything just clicked for me. Would probably read it again at some point.
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Jacob Flores September 11, 2024
A solid read. Writing is good, just wish there was a bit more depth in certain parts. Still kept my attention though. Not bad at all.
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Ashley Nguyen November 15, 2025
Really enjoyed this one. I loved how the story unfolded. It kept me guessing without being too confusing. Glad I picked this up.
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William Harris July 20, 2025
Such a great read. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. A solid 5/5 for me.
David Moore
David Moore February 14, 2025
A very satisfying read. The writing style is very engaging. It’s easy to follow but still has a lot of depth. A solid 5/5 for me.
Christopher Lewis
Christopher Lewis June 09, 2024
Glad someone recommended this to me. The author did a great job wrapping everything up at the end. No weird plot holes left behind. A solid 5/5 for me.
Daniel Cruz
Daniel Cruz September 22, 2024
A very satisfying read. I got really invested in the main character's journey. Everything just clicked for me. A solid 5/5 for me.
Kenneth Nelson
Kenneth Nelson July 29, 2025
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Jacob Flores
Jacob Flores May 19, 2024
Such a great read. I loved how the story unfolded. It kept me guessing without being too confusing. Definitely recommend it if you like this genre.
Melissa Roberts
Melissa Roberts February 25, 2024
I have mixed feelings about this one. It had some good moments, but the overall plot felt a bit disjointed in the second half. A generous 3 stars.
Laura Adams
Laura Adams September 25, 2025
Such a great read. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. Worth the time and money.
Kevin Martinez
Kevin Martinez July 16, 2025
I was pleasantly surprised. The writing style is very engaging. It’s easy to follow but still has a lot of depth. A solid 5/5 for me.
Susan Smith
Susan Smith August 23, 2025
Took me a few chapters to get into it, but it was worth it. The middle dragged a tiny bit, but the ending totally made up for it. Not bad at all.
Andrew Robinson
Andrew Robinson February 07, 2025
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Carol Nguyen
Carol Nguyen January 31, 2025
A very satisfying read. I loved how the story unfolded. It kept me guessing without being too confusing. A solid 5/5 for me.
Dorothy Mitchell
Dorothy Mitchell January 20, 2025
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Melissa Garcia
Melissa Garcia May 26, 2024
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Jacob  Parker
Jacob Parker March 24, 2024
A very satisfying read. The writing style is very engaging. It’s easy to follow but still has a lot of depth. Will be looking for more from this author.
Emily Flores
Emily Flores August 28, 2024
Took me a few chapters to get into it, but it was worth it. Writing is good, just wish there was a bit more depth in certain parts. Still kept my attention though. I'd probably recommend it to a friend.
William Harris
William Harris May 10, 2024
A very satisfying read. I got really invested in the main character's journey. Everything just clicked for me. Would probably read it again at some point.
George Perez
George Perez January 11, 2025
Really enjoyed this one. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. Would probably read it again at some point.
Joshua Torres
Joshua Torres June 21, 2025
I was pleasantly surprised. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. Would probably read it again at some point.
Stephanie Johnson
Stephanie Johnson April 07, 2024
Pretty good overall. Interesting premise and executed fairly well. Just a few slow chapters here and there. Not bad at all.
Mark Thomas
Mark Thomas September 03, 2024
Such a great read. The author did a great job wrapping everything up at the end. No weird plot holes left behind. A solid 5/5 for me.
Richard Gonzalez
Richard Gonzalez April 21, 2025
Really enjoyed this one. The pacing was spot on and the characters felt real. I didn't find myself getting bored at any point. Will be looking for more from this author.
Kenneth Reyes
Kenneth Reyes November 02, 2024
Glad someone recommended this to me. I loved how the story unfolded. It kept me guessing without being too confusing. Definitely recommend it if you like this genre.
Anthony Williams
Anthony Williams September 07, 2025
Finished it in a couple of days. The writing style is very engaging. It’s easy to follow but still has a lot of depth. Worth the time and money.
Margaret Brown
Margaret Brown June 23, 2024
I liked it for the most part. It held my attention, even if a few things were a little predictable. A solid 4 stars from me.
Jennifer Johnson
Jennifer Johnson November 24, 2025
An average read for me. The pacing was a bit slow and I found myself skimming a few pages. It wasn't terrible, just okay. Probably won't read it again, but it was an okay way to pass the time.
Jacob Torres
Jacob Torres January 26, 2024
Such a great read. It has a good balance of dialogue and description. Everything felt like it moved at the right speed. Will be looking for more from this author.
Melissa Harris
Melissa Harris June 04, 2025
Took me a few chapters to get into it, but it was worth it. I liked the main character, though some of the side plots were just okay. Not bad at all.
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