Proofs without Words

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1. taericDec 2024
   A fun book I have is Proofs Without Words (https://www.amazon.com/gp/aw/d/1470451867). Tons of neat diagrams like this.
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2. taericAug 2022
   Proofs Without Words, https://www.amazon.com/dp/1470451867, is a very fun exploration of this general topic.
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3. grog454Jun 2022
   If you like this kind of intuitive problem solving you might like "Proofs without Words". It was one of my favorite "math" books in highschool.
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4. photon_linesMay 2022
   Great introductory books along with videos:

     - Mathematics and Its History (John Stillwell)
     - Journey through Genius: The Great Theorems of Mathematics (William Dunham)
     - Proofs Without Words: Exercises in Visual Thinking (Roger B. Nelsen)
     - The Mathematical Universe: An Alphabetical Journey Through the Great Proofs, Problems, and Personalities (William Dunham)
     - Odds & Ends: Introducing Probability & Decision with a Visual Emphasis (Jonathan Weisberg)
     - Introduction to Probability (Joseph K. Blitzstein, Jessica Hwang)
     - The Secret Life of Equations: The 50 Greatest Equations and How They Work (Richard Cochrane)
     - Euler's Gem: The Polyhedron Formula and the Birth of Topology (David S. Richeson)
     - 3Blue1Brown Essence of Linear Algebra: https://www.youtube.com/playlist?list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab 
     - 3Blue1Brown Differential Equations: https://www.youtube.com/playlist?list=PLZHQObOWTQDNPOjrT6KVlfJuKtYTftqH6 
     - Dynamics: The Geometry of Behavior (Ralph Abraham, Christopher Shaw)
     - Geometry, Relativity and the Fourth Dimension (Rudolf Rucker)
     - 3Blue1Brown Essence of Calculus: https://www.youtube.com/playlist?list=PLZHQObOWTQDMsr9K-rj53DwVRMYO3t5Yr 
     - Calculus for the Practical Man (J.E. Thompson)
     - Div, Grad, Curl, and All That: An Informal Text on Vector Calculus (Harry M. Schey)
     - Who Is Fourier? a Mathematical Adventure
     - Physics, Topology, Logic and Computation: A Rosetta Stone (John C. Baez, Mike Stay)
     - An Illustrated Guide to Relativity (Tatsu Takeuchi)
     - The Mathematics Of Quantum Mechanics (Martin Laforest)
     - A Student's Guide to Maxwell's Equations (Daniel Fleisch) or if you're also interested in a visual guide, I wrote one as well: https://github.com/photonlines/Intuitive-Guide-to-Maxwells-Equations 
     - Introduction to Elementary Particles (David J. Griffiths)
     - An Invitation to Applied Category Theory: Seven Sketches in Compositionality (Brendan Fong, David I Spivak)
     - Solving Mathematical Problems: A Personal Perspective (Terence Tao)

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5. montalbanoJul 2020
   Spivak is an excellent choice but may be too advanced depending on his level. I would also strongly recommend any of the books in the Art of Problem Solving series:

   https://artofproblemsolving.com/store/list/aops-curriculum

   I've got a PhD in bioengineering but I'm currently going through Introduction to Counting and Probability and I'm really enjoying it.

   Some others (not AOPS series):

   Nelsen - Proofs Without Words

   Polya - How to Solve it

   Strogatz - Nonlinear Dynamics and Chaos

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6. yesenadamAug 2019
   The 3 wonderful Roger Nelsen books Proofs Without Words entirely consist of equations & inequalities from various mathematical fields 'proved' in intuitive pictorial form.

   http://gen.lib.rus.ec/search.php?req=proofs+without+words

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