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Mathematics Project Details for 2006 (Revised October 07, 2006)
The goal is to Learn some mathematics, it is not to read a few books from cover to cover. The books are resources to help me understand the topics.
I have identified 3 main topics: calculus, number theory and special topics. Each of these three topics requires a map to guide me through various activities. The map will provide a conceptual structure for the activities. In addition I will have a chronological table that allows me to describe each of the activities in detail. Finally, I will have a table that lists the resources I am using, both books and online.
My actual notes for each session will continue to follow the format I have been using this year for all Learning activities. Links to these notes will be added to the chronology table.
The creation of the initial mind map for each topic will depend on a quick review of the books that I have for that topic as well as a search on the web for sites on that topic. At the moment I do not have access to either my books nor the Web.
Date |
Description |
Notes |
Start |
End |
Done |
| 2006.10.06 | Read "Fearless Symmetry" chap 1 Representations | 2006.10.06 | 2006.10.06 | Yes | |
| 2006.10.07 | Notes for "Fearless Symmetry" chap 1 | 2006.10.math6 | 2006.10.07 | 2006.10.07 | Yes |
| 2006.10.08 | Creation of overall strategy for monitoring progress. | 2006.10.08 | 2006.10.08 | Yes | |
| Creation of mind map for Learning calculus | |||||
| Creation of mind map for Learning number theory | |||||
| Creation of mind map for Learning special topics | |||||
| Search web for sites on calculus | |||||
| Notes for "Fearless Symmetry" chap 1 | 2006.10math7 | 2006.10.08 | 2006.10.08 | Yes | |
| Read "Fearless Symmetry" chap 2 Groups | 2006.10.08 | 2006.10.08 | Yes | ||
| 2006.10.09 | Notes for "Fearless Symmetry" chap 2 Groups | 2006.10math8 | 2006.10.08 | 2006.10.09 | Yes |
| Read "Fearless Symmetry" chap 3 Permutations | 2006.10.09 | 2006.10.09 | Yes | ||
| Notes for "Fearless Symmetry" chap 3 | 2006.10math10 | 2006.10.09 | 2006.10.12 | Yes | |
| 2006.10.11 | Review personal maths books | 2006.10math9 | 2006.10.11 | 2006.10.11 | Yes |
| 2006.10.12 | Read "Fearless Symmetry" chap 4 Modular Arithmetic | 2006.10math11 | 2006.10.12 | 2006.10.14 | Yes |
| 2006.10.18 | Notes for "Fearless Symmetry" chap 4 | 2006.10math12 | 2006.10.18 | 2006.10.19 | Yes |
| 2006.10.20 | Read "Fearless Symmetry" chap 5 Complex Numbers | 2006.10.21 | 2006.10.21 | Yes | |
| 2006.10.22 | Notes for "Fearless Symmetry" chap 5 | 2006.10math13 | 2006.10.22 | 2006.10.23 | Yes |
| 2006.10.23 | Read "Fearless Symmetry" chap 6 Equations and Varieties | 2006.10.23 | 2006.10.25 | Yes | |
| Read "The Equation that Couldn't be Solved" | 2006.11math15 | 2006.10.23 | 2006.11.06 | Yes | |
| 2006.10.25 | Notes for "Fearless Symmetry" chap 6 Equations and Varieties | 2006.10math14 | 2006.10.25 | 2006.10.25 | Yes |
| 2006.11.10 | Read "Letters to a Young Mathematician" | 2006.11.10 | 2006.11.10 | Yes | |
| 2006.11.11 | Notes for "Letters to a Young Mathematician" | 2006.11math18 | 2006.11.11 | 2006.11.11 | Yes |
| 2006.10.26 | Read & make notes for "Fearless Symmetry" chap 7 Quadratic Reciprocity | 2006.11math18 | 2006.10.26 | 2006.11.11 | Yes |
| 2006.11.12 | Read "Fearless Symmetry" chap 8 Galois Theory | 2006.11.12 | |||
Resources for the Learning of Mathematics |
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Books |
Links to Notes |
|
| Calculus | ||
| Calculus (1998) Roland Larson, Robert Hostetler & Bruce Edwards | ||
| Calculus (1994) Michael Spivak | ||
| What is Mathematics? (1996) Richard Courant & Herbert Robbins | ||
| Calculus: An Intuitive and Physical Approach (1977) Morris Kline | ||
| The Calculus Tutoring Book (1986) Carol Ash & Robert B. Ash | ||
| Mathematica | ||
| Mathematical Navigator (2004) Heikki Ruskeepaa | ||
| Number Theory | Fundamentals of Number Theory (1977) William J. LeVeque | |
| Prime Numbers (2005) David Wells | ||
| Dr. Riemann's Zeros (2002) Karl Sabbagh | ||
| Prime Obsession (2003) John Derbyshire | ||
| Stalking the Riemann Hypothesis (2005) Dan Rockmore | ||
| The Music of the Primes (2003) Marcus du Sautoy | ||
| Numbers (1983) Graham Flegg | ||
| The Art of the Infinite (2003) Robert Kaplan & Ellen Kaplan | ||
| The Book of Numbers (1996) John H. Conway & Richard K. Guy | 2006.10 | |
| Mathematical Mysteries. The Beauty and Magic of Numbers (1996) Calvin C. Clawson | ||
| Wonders of Numbers (2001) Clifford A. Pickover | ||
| Special Topics | ||
| Symmetry & Group Theory | Fearless Symmetry (2006) Avner Ash & Robert Gross | 2006.10 |
| The Equation that Couldn't Be Solved (2005) Mario Livio | 2006.11 | |
| Infinity | Everything and More: A Compact History of Infinity (2003) David Foster Wallace | |
| To Infinity and Beyond (1987) Eli Maor | ||
| The Mystery of the Aleph (2000) Amir D. Aczel | ||
| Chaos & Fractals | Coincidences, Chaos, and all that Math Jazz (2005) Edward B. Burger & Michael Starbird | |
| Introducing Fractal Geometry (2006) Nigel Lesmoir Gordon, Will Rood & Ralph Edney | ||
| Symmetry in Chaos (1992) Michael Field & Martin Golubitsky | ||
| Special Topics | Gamma - Exploring Euler's Constant (2003) Julian Havil | |
| The Divine Proportion (1970) H. E. Huntley | ||
| Divine Proportion: Phi in Art, Nature and Science (2005) Priya Hemenway | ||
| The Golden Ratio (2002) Mario Livio | ||
| Imagining Numbers (2003) Barry Mazur | ||
| An Imaginary Tale: The Story of the Square Root of -1 (1998) Paul J. Nahim | ||
| Zero: The Biography of a Dangerous Idea (2000) Charles Seife | ||
| e: The Story of a Number (1994) Eli Maor | ||
| The Mobius Strip (2006) Clifford Pickover | ||
| Math and the Mona Lisa (2004) Bulent Atalay | ||
| Unknown Quantity (2006) John Derbyshire | ||
| Meta Math! The Quest for Omega (2005) Gregory Chaitin | ||
| The Moment of Proof (1999) Donald C. Benson | ||
| Godel's Proof (2001) Ernest Nagel & John R. Newman | ||
Web |
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| Calculus | ||
| Number Theory | ||
| Special Topics | ||