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Maryknoll Fathers’ School F.1, F.2 and F.3 Mathematics Reading Scheme (2009 – 2010) (I) English Book List Name Catageory Author Publisher Algebra Graham Farmelo Oxford : Blackwell Arithmetic Marcus du Sautoy Free Press Aczel, Amir D. Penguin Mlodinow, Leonard Marcel Dekker, Inc. History of Mathematics Dirk J. Struik Fourth Estate Alan Turing, the Enigma History of mathematics A. Hodges Basic Books. Ancient Mathematics History of Mathematics Cuomo, S. Fermat's Last Theorem History of mathematics Simon Singh CUP History of mathematics Hofstadter, D. Penguin Mathematical Philosophy G. Polya. Princeton University Press Mathematics and plausible Mathematical Philosophy reasoning G. Polya. Princeton University Press Mathematical discovery : on understanding, learning, and Mathematical Philosophy teaching problem solving G. Polya. Wiley It Must be Beautiful Great Equations of Modern Science The Music of the Primes Fermat's last theorem : unlocking the secret of an ancient mathematical problem Euclid's Window : The Story of Geometry from Parallel Lines to Hyperspace A Concise History of Mathematics Godel, Escher, Bach: an eternal golden braid How to solve it : a new aspect of mathematical method Geometry / Trigonometry Geometry / Trigonometry Mathematics and Its History. History of mathematics Stillwell, J. (1989). Abacus Men of Mathematics History of mathematics E.T. Bell Simon & Schuster The magic of numbers Mathematical Philosophy E.T. Bell Dover Publications Karl Menninger Golem Press R. Kanigel CUP Number Words and Number Symbols: a Cultural History of History of Mathematics Numbers The Man Who Knew Infinity History of mathematics Page 1 of 7 The man who loved only Princeton University History of mathematics Paul Hoffman The Story of Mathematics History of Mathematics Alistair Ross Adam & Charles Black Women in Mathematics History of mathematics Lynn M. Osen Springer Verlag. logic Ian Stewart Springer Verlag. logic Deborah J. Bennett W.W. Norton & Co. logic Tiles, M. numbers Game, set, and math : enigmas and conundrums Press. Logic Made Easy: How To Know When Language Deceives You The Philosophy of Set Theory: An Introduction to Cantor’s Scientific American Library. Paradise, A Mathematician's Apology Mathematical Philosophy Conversations on Mind, Matter, and Mathematics e: The story of a number Mathematical Philosophy Mathematical Philosophy From Five Fingers to Infinity Mathematical Philosophy Mathematics: The Loss of G.H. Hardy Connes, A. and J.-P. Changeux John Wiley. Swetz, F., Ed. Springer Verlag. Kline, M. Nature's numbers : discovering order and pattern Mathematical Philosophy in the universe Stewart, I. Nature's Numbers : The Unreal Reality of Mathematics John Wiley & Sons, Inc. Maor Mathematical Philosophy Certainty Yale University Press. American Mathematical Society. Phoenix University of Toronto Mathematical Philosophy Ian Stewart Mathematical Philosophy J. McLeish Mathematical Philosophy Lakatos, I. Strength in numbers : discovering the joy and power of mathematics in everyday life Mathematical Philosophy Stein, S. John Wiley The Joy of pi Mathematical Philosophy David Blatner Norton International Mathematical Philosophy Theoni Pappas Norton International Press (Science Masters Series) Number Proofs and Refutations: The logic of mathematical Princeton University Press Penguin Books Limited London discovery. The Magic of Mathematics: Discovering the Spell of Mathematics Page 2 of 7 The Math Gene : How Mathematical Thinking Evolved and Why Numbers are Like Mathematical Philosophy Keith Devlin Pearson Education Gossip The Mathematical Experience Mathematical Philosophy Davis, Philip J., Hersh, Reuben Oxford University Press The mathematical traveler : exploring the grand history of Mathematical Philosophy numbers Clawson, Calvin Princeton University Press The mathematical universe : an alphabetical journey Mathematical Philosophy through the great proofs, problems, and personalities Dunham, W. Penguin The number devil : a mathematical adventure The shape of space The Triumph Of Numbers: How Counting Shaped Modern Life To Infinity and Beyond An Imaginary Tale : The Story of √-1 Mathematical recreations & essays Puzzling Adventures Hans Magnus Mathematical Philosophy Enzensberger, Perennial Classics Michael Henry Heim W.W. Norton & Company Mathematical Philosophy Jeffrey R. Weeks Mathematical Philosophy I. B. Cohen A K Peters Ltd Mathematical Philosophy Maor, E. Oxford Univ Pr (T) Recreation and Games Paul J. Nahin Harvard University Press Recreation and Games New York W. W. Rouse Ball and Prentice H. S. M. Coxeter Recreation and Games Dennis E. Shasha Houghton Mifflin Co (P) Recreation and Games Martin Gardner Dover Publications, Inc. The Colossal Book of Mathematics: Classic Puzzles, Paradoxes, and Problems The Saga of Mathematics How to Tell the Liars from the Statisticians Recreation and Games Statistics Lewinter, Marty, Widulski, William Hooke, R. Dover Publications, Inc. John Wiley & Sons Statistics on the Table: The History of Statistical Concepts Statistics Stigler, Stephen M. Dover Publications, Inc. and Methods Fermat’s Last Theorem Geometry / Trigonometry Simon Singh Harper Collins Publisher Page 3 of 7 God created the integer Mathematical Philosophy Stephen Hawking Penguin Books Ltd. From here to infinity Mathematical Philosophy Ian Stewart Oxford Infinite Ascent: A short History of Mathematics Mathematical Philosophy David Berlinski Modern Library Statistics Clarke, G.M. & Cooke, D. ELBS Dalton, L.C. Dale Seymour Publications, Palo Alto Kastner, B. NCTM Michael Serra Key Curriculum Press Gardiner, A. Oxford University Press Scheaffer, Mendenhall, Ott PWS-Kent Frederick W. NCTM A Basic Course in Statistics Algebra in the Real World Algebra Applications of Secondary Mathematical Philosophy Mathematics Discovering Geometry - An Inductive Approach Geometry Discovering Mathematics Mathematical Philosophy Elementary Survey Sampling Exploratory problems in mathematics Fallacies in Mathematics Fifty Challenging Problems in Probability with solutions Fun with Mathematics Statistics Mathematical Philosophy Mathematical Philosophy Probability Mathematical Philosophy Games & Puzzles for Elementary & Middle School Mathematical Philosophy Mathematics Games for Learning Mathematics Mathematical Philosophy Geometric Exercises in Paper Folding Geometry How to Use (and Misuse Statistics) Statistics Stevenson E.A. Maxwell Cambridge University Press (C.U.P.) Frederick Mosteller Dover Shmuel Avital The Ontario Institute for Studies in Education Suton E. Simith NCTM Donovan A. Johnson J. Weston Walch T. Sundara Row Dover Kimble, A Gregory Prentice-Hall Page 4 of 7 Introduction to Probability Probability and and Statistics Statistics Introduction to Statistics Introductory Statistics Mendenhall, W. Duxbury Pr. Statistics Ronald E. Walpok Macmillan Statistics Thomas Wiley Mathematical Diversions Mathematical Philosophy Hunter & Madachy Mathematician's Delight Mathematical Philosophy Dover W. W. Sawyer Penguin Page 5 of 7 (II) Internet Articles List Name Catageory WebSite Prime number Number Theory http://www.alihk.net/~md/articles/prime/e_prime. htm Pi Geometry http://www.alihk.net/~md/articles/pi/e_pi.htm The development of calculus History of Mathematics http://www.alihk.net/~md/articles/calculus/e_calc ulus.htm Recreation and Games http://www.alihk.net/~md/articles/guessgame/e_g uessgame.htm The Mathematical Achievements and Methodologies of Archimedes History of Mathematics http://db.math.ust.hk/articles/archimedes/e_archi medes.htm Logarithm and Logarithm Table Algebra http://www.alihk.net/~md/articles/log/e_log.htm Pyth. Thm. Geometry http://www.alihk.net/~md/articles/pyth/e_pyth.ht m Playing Guess Game Using Recurrence Relation What is proportional representation Arithmetic Babylonian mathematics History of Mathematics Ancient Egyptian mathematics http://db.math.ust.hk/articles/prop_rep/e_prop_re p.htm http://www-groups.dcs.st-and.ac.uk/~history/Inde xes/Babylonians.html History of Mathematics http://www-groups.dcs.st-and.ac.uk/~history/Inde xes/Egyptians.html Mathematical Philosophy http://www.cs.arizona.edu/~rcs/hilbert-speech Carl Friedrich Gauss History of Mathematics http://www-groups.dcs.st-and.ac.uk/~history/Mat hematicians/Gauss.html Squaring the circle Mathematical Philosophy http://www-groups.dcs.st-and.ac.uk/~history/Hist Topics/Squaring_the_circle.html Lecture Delivered Before the International Congress of Mathematicians at Paris in 1900 by Professor David Hilbert. Page 6 of 7 Doubling the cube Mathematical Philosophy http://www-groups.dcs.st-and.ac.uk/~history/Hist Topics/Doubling_the_cube.html Trisecting an angle Mathematical Philosophy http://www-groups.dcs.st-and.ac.uk/~history/Hist Topics/Trisecting_an_angle.html Euclid History of Mathematics http://www-groups.dcs.st-and.ac.uk/~history/Mat hematicians/Euclid.html Abel History of Mathematics http://www-history.mcs.st-andrews.ac.uk/Mathe maticians/Abel.htm Archimedes History of Mathematics Newton History of Mathematics http://www-history.mcs.st-andrews.ac.uk/Mathe maticians/Newton.html Leibniz History of Mathematics http://www-history.mcs.st-andrews.ac.uk/Mathe maticians/Leibniz.html Euler History of Mathematics http://www-history.mcs.st-andrews.ac.uk/Mathe maticians/Euler.html Galois History of Mathematics http://www-history.mcs.st-andrews.ac.uk/Mathe maticians/Galois.html Arithmetic http://home.egge.net/~savory/maths1.htm Number theory Number theory http://www.math.niu.edu/~rusin/known-math/ind ex/11-XX.htm Infinity Mathematical Philosophy http://www.c3.lanl.gov/mega-math/workbk/infini ty/infinity.htm Knot Geometry http://www.c3.lanl.gov/mega-math/workbk/knot/ knot.html Graph Recreation and Games http://www.c3.lanl.gov/mega-math/workbk/graph /graph.html Divisibility by prime numbers under 50 http://www-history.mcs.st-andrews.ac.uk/Mathe maticians/Archimedes.html Mathematical games and http://www-history.mcs.st-and.ac.uk/history/Hist Recreation and Games recreations Topics/Mathematical_games.html Solving Fermat: Andrew History of Mathematics http://www.pbs.org/wgbh/nova/proof/wiles.html Wiles Page 7 of 7