Edgardo
Apr22-07, 01:40 PM
Below is a list of notes on mathematical proofs.
The notes are directed at beginners who want to learn
how to write mathematical proofs.
PROOF TECHNIQUES
1) Introduction to mathematical arguments
(by Michael Hutchings (http://math.berkeley.edu/~hutching/))
http://math.berkeley.edu/~hutching/teach/113/proofs.pdf
2) How to Write Proofs -
A short tutorial on the basics of mathematical proof writing
(by Larry W. Cusick (http://zimmer.csufresno.edu/~larryc/))
http://zimmer.csufresno.edu/~larryc/proofs/proofs.html
3) How to write proofs: a quick guide
(by Eugenia Cheng (http://math.unice.fr/~eugenia/))
Department of Mathematics, University of Chicago
http://math.unice.fr/~eugenia/proofguide/
4) Notes on Methods of Proof
by Peter Williams (http://www.math.csusb.edu/faculty/williams/index.php)
http://www.math.csusb.edu/notes/proofs/pfnot/pfnot.html
5) A brief guide to writing proofs (Polytechnic university (http://www.poly.edu/))
http://www.math.poly.edu/courses/ma2312/WritingProofs.pdf
6) A few words about proof (Berkeley Math Circle (http://mathcircle.berkeley.edu/))
http://mathcircle.berkeley.edu/proof.pdf
7) Understanding Mathematical Induction
(Idris Hsi (http://www.cc.gatech.edu/people/home/idris/))
http://www.cc.gatech.edu/people/home/idris/AlgorithmsProject/ProofMethods/index.html
http://www.cc.gatech.edu/people/home/idris/AlgorithmsProject/ProofMethods/Induction/UnderstandingInduction.html
8) Basic proof methods (David Marker (http://www.math.uic.edu/~marker/))
MATH 215, Introduction to Advanced Mathematics, Fall 2006
http://www.math.uic.edu/~marker/math215/methods.pdf
---------------------------------------------------------------
GUIDELINES FOR MATHEMATICAL PROOFS
1) Guidelines for Writing Mathematical Proofs (Jessica K. Sklar (http://www.plu.edu/~sklarjk/))
http://www.plu.edu/~sklarjk/499f06/499proofguidelines.pdf
2) Introduction to Mathematical Reasoning (John M. Lee (http://www.math.washington.edu/~lee/))
Conventions for Writing Mathematical Proofs
(Math 310, Spring 2006 (http://www.math.washington.edu/~lee/Courses/archives.html))
http://www.math.washington.edu/~lee/Courses/310-2006/writing-proofs.pdf
3) How to do math proofs (wikiHow)
http://www.wikihow.com/Do-Math-Proofs
4) Some hints on mathematical proof by David Goss (http://www.math.ohio-state.edu/~goss/)
http://www.math.ohio-state.edu/~goss/style.html
5) Proof-Writing Tips (Ezra N. Miller (http://www.math.umn.edu/~ezra/))
Math 5707, Spring 2004
http://www.math.umn.edu/~ezra/5707/tips.html
HOW TO WRITE MATHEMATICS BADLY
6) How to write mathematics badly (Entry in the Mathematics Weblog (http://www.sixthform.info/maths/))
Part 1: http://www.sixthform.info/maths/?p=147
Part 2: http://www.sixthform.info/maths/?p=148
Part 3: http://www.sixthform.info/maths/?p=149
If you know more links, feel free to post them here.
The notes are directed at beginners who want to learn
how to write mathematical proofs.
PROOF TECHNIQUES
1) Introduction to mathematical arguments
(by Michael Hutchings (http://math.berkeley.edu/~hutching/))
http://math.berkeley.edu/~hutching/teach/113/proofs.pdf
2) How to Write Proofs -
A short tutorial on the basics of mathematical proof writing
(by Larry W. Cusick (http://zimmer.csufresno.edu/~larryc/))
http://zimmer.csufresno.edu/~larryc/proofs/proofs.html
3) How to write proofs: a quick guide
(by Eugenia Cheng (http://math.unice.fr/~eugenia/))
Department of Mathematics, University of Chicago
http://math.unice.fr/~eugenia/proofguide/
4) Notes on Methods of Proof
by Peter Williams (http://www.math.csusb.edu/faculty/williams/index.php)
http://www.math.csusb.edu/notes/proofs/pfnot/pfnot.html
5) A brief guide to writing proofs (Polytechnic university (http://www.poly.edu/))
http://www.math.poly.edu/courses/ma2312/WritingProofs.pdf
6) A few words about proof (Berkeley Math Circle (http://mathcircle.berkeley.edu/))
http://mathcircle.berkeley.edu/proof.pdf
7) Understanding Mathematical Induction
(Idris Hsi (http://www.cc.gatech.edu/people/home/idris/))
http://www.cc.gatech.edu/people/home/idris/AlgorithmsProject/ProofMethods/index.html
http://www.cc.gatech.edu/people/home/idris/AlgorithmsProject/ProofMethods/Induction/UnderstandingInduction.html
8) Basic proof methods (David Marker (http://www.math.uic.edu/~marker/))
MATH 215, Introduction to Advanced Mathematics, Fall 2006
http://www.math.uic.edu/~marker/math215/methods.pdf
---------------------------------------------------------------
GUIDELINES FOR MATHEMATICAL PROOFS
1) Guidelines for Writing Mathematical Proofs (Jessica K. Sklar (http://www.plu.edu/~sklarjk/))
http://www.plu.edu/~sklarjk/499f06/499proofguidelines.pdf
2) Introduction to Mathematical Reasoning (John M. Lee (http://www.math.washington.edu/~lee/))
Conventions for Writing Mathematical Proofs
(Math 310, Spring 2006 (http://www.math.washington.edu/~lee/Courses/archives.html))
http://www.math.washington.edu/~lee/Courses/310-2006/writing-proofs.pdf
3) How to do math proofs (wikiHow)
http://www.wikihow.com/Do-Math-Proofs
4) Some hints on mathematical proof by David Goss (http://www.math.ohio-state.edu/~goss/)
http://www.math.ohio-state.edu/~goss/style.html
5) Proof-Writing Tips (Ezra N. Miller (http://www.math.umn.edu/~ezra/))
Math 5707, Spring 2004
http://www.math.umn.edu/~ezra/5707/tips.html
HOW TO WRITE MATHEMATICS BADLY
6) How to write mathematics badly (Entry in the Mathematics Weblog (http://www.sixthform.info/maths/))
Part 1: http://www.sixthform.info/maths/?p=147
Part 2: http://www.sixthform.info/maths/?p=148
Part 3: http://www.sixthform.info/maths/?p=149
If you know more links, feel free to post them here.