Goodreads helps you keep track of books you want to read.
Start by marking “How to Think Like a Mathematician” as Want to Read:
How to Think Like a Mathematician
Enlarge cover
Rate this book
Clear rating
Open Preview

How to Think Like a Mathematician

4.2  ·  Rating details ·  147 Ratings  ·  8 Reviews
Looking for a head start in your undergraduate degree in mathematics? Maybe you've already started your degree and feel bewildered by the subject you previously loved? Don't panic! This friendly companion will ease your transition to real mathematical thinking. Working through the book you will develop an arsenal of techniques to help you unlock the meaning of definitions, ...more
Paperback, 265 pages
Published February 1st 2009 by Cambridge University Press
More Details... edit details

Friend Reviews

To see what your friends thought of this book, please sign up.

Reader Q&A

To ask other readers questions about How to Think Like a Mathematician, please sign up.

Be the first to ask a question about How to Think Like a Mathematician

Community Reviews

(showing 1-30)
Rating details
Sort: Default
|
Filter
Tareq Elderawi
Jun 11, 2016 rated it really liked it
*Don't believe everything you read .
*simplicity is the ultimate sophistication .
* If it isn't hurting , then it isn't working .
*Be scaptical of everything and try to prove that the text is wrong , search for hidden assumptions and try to use extreme cases and examples .
*Learn as much by writing as by reading .
*It isn't that they can't see the solution , It is that they can't see the problem .
*Everything is simpler that you think and at the same time more complex that you imagine .
*The highes
...more
Ali
Nov 15, 2016 rated it really liked it
This book contains very useful techniques for anyone who wants to gain a deeper understanding of mathematics, especially chapters on how to read definitions, theorems and proofs. Maybe it requires more acquaintance with mathematics to highly appreciate other advice given, but I found those mentioned the most useful ones. There is also a good treatment of main techniques of proof. Some exercises are a bit challenging for an undergraduate but overall it does not require any especial prerequisite k ...more
Sambasivan
May 22, 2016 rated it it was amazing
Written with incredible clarity. This book streamlines your thought process and helps you discipline yourself to think logically as well. Surprisingly good.
Aleksandra Taranov
Sep 11, 2017 rated it really liked it
Shelves: math
I found the book too basic, but it does give good study tools to people beginning to learn mathematics. However, I was often annoyed by the pompous tone and snide digs at other disciplines like history/sociology that showed ignorance about how they work. There was a lot of 'this matters in math' but you could just look up a date in history to know an event happened. That's a strawman and not how high level history works at all. That said, the math ideas are very clearly written and accurate and ...more
Perro
Aug 06, 2016 rated it it was amazing
Definitely worth reading even for people who don't study maths, but I find it hard to comprehend, not the mathematical bit but it's a bit dull for me and sometimes it feels like the author spent pages and pages to say about one thing, which should be a lie to explain or clarify in one chapter. Also there are many excises without solution, if you are reading it on your own, how can you know your answer is right?
Bashnev
Aug 16, 2013 rated it liked it
Shelves: maths
A lot of good material explained well. Wish I had something like this when I was an undergraduate.
Irene
Nov 14, 2016 rated it it was amazing
Excellent book for anyone taking classes heavy in mathematics.
bo yuan
rated it did not like it
Jun 24, 2016
Agnes Deng
rated it liked it
Apr 16, 2017
Ndk
rated it it was amazing
Apr 23, 2013
Suat Atan
rated it it was amazing
Aug 05, 2015
Judah Cliff Bayawon
rated it it was amazing
Aug 07, 2018
Christopher Jack
rated it it was amazing
Mar 24, 2017
Sean Downey
rated it liked it
Nov 20, 2014
David Toth
rated it it was amazing
Jul 12, 2018
Neil James
rated it really liked it
Jul 08, 2013
Goetz Kluge
rated it it was amazing
Mar 20, 2017
Arel Özhan
rated it really liked it
May 29, 2017
Matilde Andersen
rated it liked it
Nov 23, 2013
Alex Joyce
rated it it was amazing
Mar 06, 2014
Aseel Al-Najjar
rated it really liked it
Nov 17, 2017
Barry Millar
rated it really liked it
Apr 16, 2013
AristotlesChild
rated it it was amazing
Dec 25, 2016
Nathan
rated it really liked it
Jul 28, 2014
Flasch63
rated it liked it
Dec 07, 2015
Adam
rated it it was amazing
Aug 03, 2011
Michael
rated it it was amazing
Feb 01, 2015
Sherry
rated it it was amazing
Jan 11, 2018
Hasseeb Nasseer
rated it liked it
Oct 26, 2015
« previous 1 3 4 5 next »
There are no discussion topics on this book yet. Be the first to start one »
  • Mathematical Proofs: A Transition to Advanced Mathematics
  • Naive Set Theory
  • An Introduction to the Theory of Numbers
  • How to Prove It: A Structured Approach
  • The Calculus Gallery: Masterpieces from Newton to Lebesgue
  • The Princeton Companion to Mathematics
  • DIV, Grad, Curl, and All That: An Informal Text on Vector Calculus
  • Mathematics for the Nonmathematician
  • What Computers Still Can't Do: A Critique of Artificial Reason
  • What Is Mathematics?: An Elementary Approach to Ideas and Methods
  • Contemporary Abstract Algebra
  • Categories for the Working Mathematician
  • Solving Mathematical Problems: A Personal Perspective
  • Calculus, Volume 2: Multi-Variable Calculus and Linear Algebra with Applications
  • Gamma: Exploring Euler's Constant
  • Introduction to Mathematical Philosophy
  • Schaum's Outline of Differential Equations
  • Letters to a Young Mathematician

Nonfiction Deals

  • Platform: Get Noticed in a Noisy World
    $9.99 $2.99
  • How to Write a Sentence: And How to Read One
    $10.49 $1.99
  • Hidden Figures
    $7.99 $1.99
  • Pocket Prayers: 40 Simple Prayers that Bring Peace and Rest
    $2.99 $0.99
  • Manifest Your Destiny: Nine Spiritual Principles for Getting Ev
    $11.74 $1.99
  • A Three Dog Life
    $9.99 $2.99
  • How Children Succeed: Grit, Curiosity, and the Hidden Power of Character
    $10.99 $2.99
  • Happiness: A Guide to Developing Life's Most Important Skill
    $7.99 $2.99
  • My Glory Was I Had Such Friends: A Memoir
    $10.99 $1.99
  • Say Goodbye to Survival Mode: 9 Simple Strategies to Stress Less, Sleep More, and Restore Your Passion for Life
    $6.99 $0.99
  • Spoiler Alert: The Hero Dies: A Memoir of Love, Loss, and Other Four-Letter Words
    $13.99 $1.99
  • Abigail and John: Portrait of a Marriage
    $14.99 $1.99
  • Casino: Love and Honor in Las Vegas
    $19.99 $2.99
  • The Success Principles: How to Get from Where You Are to Where You Want to Be
    $10.99 $1.99
  • The Hidden Reality: Parallel Universes and the Deep Laws of the Cosmos
    $14.99 $2.99
  • I'd Rather Be Reading: A Library of Art for Book Lovers
    $9.99 $1.99
  • The Girl With No Name: The Incredible True Story of a Child Raised by Monkeys
    $17.99 $1.99
  • The World of Lore: Monstrous Creatures
    $11.99 $1.99
  • Helmet for My Pillow: From Parris Island to the Pacific
    $10.99 $1.99
  • America's Women: 400 Years of Dolls, Drudges, Helpmates, and Heroines
    $14.99 $1.99
  • The Good Girls Revolt: How the Women of Newsweek Sued their Bosses and Changed the Workplace
    $9.99 $2.99
  • Dancing in the Glory of Monsters: The Collapse of the Congo and the Great War of Africa
    $11.99 $3.99
  • Dear Bob and Sue
    $6.99 $2.99
  • Hello Mornings: How to Build a Grace-Filled, Life-Giving Morning Routine
    $9.99 $2.99
  • Mossad: The Greatest Missions of the Israeli Secret Service
    $10.24 $1.99
  • Act Like a Success, Think Like a Success: Discovering Your Gift and the Way to Life's Riches
    $12.99 $1.99
  • Those Angry Days: Roosevelt, Lindbergh, and America's Fight Over World War II, 1939-1941
    $10.99 $2.99
  • Prisoners of Geography: Ten Maps That Explain Everything About the World
    $12.99 $2.99
  • The Sea Around Us
    $17.99 $1.99
  • This Is an Uprising: How Nonviolent Revolt Is Shaping the Twenty-First Century
    $11.99 $3.99
  • The Newcomers: Finding Refuge, Friendship, and Hope in an American Classroom
    $14.99 $2.99
  • Lincoln's Last Trial: The Murder Case That Propelled Him to the Presidency
    $12.99 $2.99
  • Me Talk Pretty One Day
    $9.99 $2.99
  • The Confidence Code for Girls: Taking Risks, Messing Up, and Becoming Your Amazingly Imperfect, Totally Powerful Self
    $9.99 $1.99
  • Jackie, Janet & Lee: The Secret Lives of Janet Auchincloss and Her Daughters, Jacqueline Kennedy Onassis and Lee Radziwill
    $14.99 $2.99
  • Just the Funny Parts: My 30 Years on the Hollywood Jungle Gym
    $12.99 $1.99
  • Minimalism: Live a Meaningful Life
    $8.99 $2.49
  • The Millionaire Fastlane
    $7.99 $2.49
  • Training the Mind and Cultivating Loving-Kindness
    $13.99 $1.99
  • Jesus > Religion: Why He Is So Much Better Than Trying Harder, Doing More, and Being Good Enough
    $9.99 $1.99
  • The Proper Care and Feeding of Husbands
    $9.99 $1.99
  • Unlimited Memory: How to Use Advanced Learning Strategies to Learn Faster, Remember More and be More Productive (Mental Mastery Book 1)
    $9.99 $3.49
  • Forty Autumns: A Family's Story of Courage and Survival on Both Sides of the Berlin Wall
    $11.99 $1.99
“Question everything – Be sceptical of all results presented to you. Don’t accept them until you are sure you believe them.” 0 likes
“Develop your intuition – But don’t trust it completely.” 0 likes
More quotes…