basic_tools
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| + | <blockquote>Physics is like carpentry: Using the right tool makes the job //easier//, not more difficult. <cite> David J. Griffiths in his book "Quantum Mechanics"</cite></blockquote> | ||
| Although this is a travel guide to physics, you'll find here, of course, lots of pages about mathematics. | Although this is a travel guide to physics, you'll find here, of course, lots of pages about mathematics. | ||
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| ===== Essential Books ===== | ===== Essential Books ===== | ||
| + | * [[http://www.physics.miami.edu/~nearing/mathmethods/|Mathematical Tools for Physics]] Physics by James Nearing | ||
| + | * How to Think Like a Mathematician: A Companion to Undergraduate Mathematics by Kevin Houston | ||
| * [[https://mitpress.mit.edu/sites/default/files/titles/content/9780262514293_Creative_Commons_Edition.pdf|Street-Fighting Mathematics]] by Mahajan | * [[https://mitpress.mit.edu/sites/default/files/titles/content/9780262514293_Creative_Commons_Edition.pdf|Street-Fighting Mathematics]] by Mahajan | ||
| * [[https://ocw.mit.edu/resources/res-6-011-the-art-of-insight-in-science-and-engineering-mastering-complexity-fall-2014/online-textbook/MITRES_6-011F14_art_insfin.pdf|The Art of Insight in Science and Engineering by Mahajan]] | * [[https://ocw.mit.edu/resources/res-6-011-the-art-of-insight-in-science-and-engineering-mastering-complexity-fall-2014/online-textbook/MITRES_6-011F14_art_insfin.pdf|The Art of Insight in Science and Engineering by Mahajan]] | ||
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| * No bullshit guide to math and physics by Ivan Savov | * No bullshit guide to math and physics by Ivan Savov | ||
| * A Course of Mathematics for Students of Physics by Paul Bamberg and Shlomo Sternberg | * A Course of Mathematics for Students of Physics by Paul Bamberg and Shlomo Sternberg | ||
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| + | * [[http://geometry.mrao.cam.ac.uk/2007/01/geometric-algebra-for-physicists/|Geometric Algebra for Physicists]] by Chris Doran, Anthony Lasenby | ||
| + | * [[https://link.springer.com/book/10.1007/0-306-47122-1| New Foundations for Classical Mechanics]] by David Hestenes | ||
| ===== Essays ===== | ===== Essays ===== | ||
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| - | *[[ https://betterexplained.com/articles/how-to-develop-a-mindset-for-math/|How to Develop a Mindset for Math]] | + | * [[https://betterexplained.com/articles/how-to-develop-a-mindset-for-math/|How to Develop a Mindset for Math]] |
| - | *[[https://web.archive.org/web/20170701172117/https://www.discretization.de/media/filer_public/2014/09/05/20140413icm-proceedings-ziegler.pdf|Teaching and Learning “What is Mathematics”]] by Günter M. Ziegler and Andreas Loos | + | * [[https://betterexplained.com/articles/developing-your-intuition-for-math/|Developing Your Intuition For Math]] |
| + | * [[https://betterexplained.com/articles/math-cartoonist/|Learning math? Think like a cartoonist.]] | ||
| + | * [[https://betterexplained.com/articles/intuition-isnt-optional/|Learning To Learn: Intuition Isn’t Optional]], | ||
| + | * [[https://betterexplained.com/articles/learning-to-learn-embrace-analogies/|Learning To Learn: Embrace Analogies]], | ||
| + | * [[https://betterexplained.com/articles/learning-to-learn-pencil-then-ink/|Learning To Learn: Pencil, Then Ink]], | ||
| + | * [[https://betterexplained.com/articles/learning-to-learn-math-abstraction/|Learning to Learn: Math Abstraction]] | ||
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| + | * [[https://web.archive.org/web/20170701172117/https://www.discretization.de/media/filer_public/2014/09/05/20140413icm-proceedings-ziegler.pdf|Teaching and Learning “What is Mathematics”]] by Günter M. Ziegler and Andreas Loos | ||
| * [[http://www.av8n.com/physics/thinking.htm|Learning, Remembering, and Thinking]] by John Denker | * [[http://www.av8n.com/physics/thinking.htm|Learning, Remembering, and Thinking]] by John Denker | ||
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| + | * [[https://youtu.be/XPMbCnEapQU| 13 Thinking Tools]] Robert and Michele Root-Bernstein | ||
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| + | * [[https://geocalc.clas.asu.edu/pdf/Foundations.pdf| Models and Theories]] by David Hestenes | ||
| + | * [[https://geocalc.clas.asu.edu/pdf/ModelingSoftware.pdf| Modeling Software for learning and doing physics]] by David Hestenes | ||
| + | * [[http://geocalc.clas.asu.edu/GA_Primer/GA_Primer/| Primer on Geometric Algebra]] | ||
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| + | ===== Further Recommendations ===== | ||
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| + | * How to Read and Do Proofs by Solow | ||
| + | * The Keys to Advanced Mathematics: Recurrent Themes in Abstract Reasoning by Solow | ||
| + | * How To Solve It by Polya | ||
| + | * Many great explanations of "pre-college" concepts can be found at https://brilliant.org/ | ||
| + | | ||
| + | * [[https://geocalc.clas.asu.edu/html/Overview.html| An Overview of Geometric Algebra in Physics]] | ||
| + | * [[https://youtu.be/m7v2IUJtC3g| Professor Anthony Lasenby: A New Language for Physics]] | ||
| ===== Quotes ===== | ===== Quotes ===== | ||
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