Annotated Bibliography Strange Attractors Chip Galloway, Professor of Mathematics What follows is a list of many of the books used in the study grant “Strange Attractors: Mathematics and Literature.” The following books address how mathematics has been integrated into early literature from the classical Greek period through the Middle Ages. Timaeus – Plato – Focus Philosophical Library- 2001 Plato’s works are considered great works of literature and this is by far his most mathematical dialogue. Medieval Number Symbolism: Its Sources, Meaning and Influence on Thought and Expression, “Chapter VII: The Beauty of Order – Dante” – Vincent Foster Hopper – Dover – 2011 Excellent discussion of number symbolism in Dante’s Divine Comedy. The Canterbury Tales (“The Franklin’s Tale”) – Geoffrey Chaucer Includes a discussion of the astrolabe, a scientific/mathematical instrument used in navigation and astronomy. Chaucer also wrote a manual on the use of the astrolabe, considered the first example of technical writing on the use of a scientific instrument in the English language. The following are novels that are primarily mathematical, or have sections that are primarily mathematical. Flatland – Edwin Abbott Abbott – Princeton Science Library – 1991 By far the most famous work of mathematical fiction, Abbott tells the story of inhabitants of Flatland, a two dimensional world. He explores the geometry of different dimensions and satirizes aspects of Victorian society. Flatterland – Ian Stewart A sequel to Flatland, exploring advanced geometrical ideas. Sphereland – Dionys Burger Another sequel to Flatland. We - Yevgeny Zamyatin – Penguin Books – 1993 Dystopian novel uses many references to mathematics. Uncle Petros and Goldbach’s Conjecture: A Novel of Mathematical Obsession – Apostolos Doxiadis – Bloomsbury USA – 2001 An excellent novel about attempts to prove Goldbach;s Conjecture and the psychological make-up of mathematicians obsessed with proving famous problems. Pythagoras’ Revenge – Arturo Sangalli A novel in which Pythagoras reincarnates to save the world from the disorder of chaos and randomness in mathematics. The Wild Numbers – Phillip Schogt Excellent novel about a mathematician trying to prove a theorem and accused of plagiarism by one of his students. A Certain Ambiguity – Gaurav Sari and Hartosh Sinh Bal Novel which poses the fundamental question: “Does the axiomatic model of mathematics apply to all aspects of life?” The Parrot’s Theorem – Denis Guedj The primary purpose of this novel is to explore episodes in the history of mathematics. Math Girls – Hiroshi Yuki Novel mainly consisting of conversations between high school students about various math topics. Goldman’s Theorem – R.J. Stern Novel about a mathematician who finds an error in an important proof he has made. It also satirizes academia. Surreal Numbers – D.E. Knuth This book explains a number system invented by mathematician John Conway, but in the form of a novel. The Number Devil: A Mathematical Adventure – Hans Magnus Enzensberger – Holt Paperbacks – 1997 Children’s novel in which the number devil visits a boy in his dreams to teach him appreciation of mathematics. The Man Who Counted – Malba Tahan Excellent novel which is “a collection of mathematical adventures” of the main character. The French Mathematician – Tom Petsinis – Berkley Trade - 1998 (novel about mathematician Evariste Galois) Excellent historical fiction about the life of mathematician Evariste Galois. The Indian Clerk – David Leavitt Excellent historical fiction about the lives of Srinivasa Ramanujan, G.H. Hardy and John Littlewood. The Sand Reckoner – Gillian Bradshaw Excellent historical fiction about the life of mathematician Archimedes. Beyond the Limit – Joan Spicci Another excellent example of historical fiction, this time about the life of mathematician Sofya Kovalevsky who was also a novelist. Sophie’s Diary: A Historical Fiction – Dora Musielak – Authorhouse – 2005 Novel about mathematician Sophie Germaine. The following books illustrate how mathematics has been used in novels that are not primarily mathematical (mainstream literature) - for symbolism, plot development, character development, or illumination of a theme or theory. War and Peace – Tolstoy – Signet Classics – 1968 Tolstoy expresses his views of history in terms of mathematics, especially calculus. The Brothers Karamazov – Fyodor Dostoevsky – Bantam Classics – 2003 Dostoevsky uses Non-Euclidian geometry to symbolize that which the rational mind cannot grasp. Gulliver’s Travels – Jonathan Swift Swift satirizes math and the way it is taught in “A Voyage to Laputa” A Tree Grows in Brooklyn – Betty Smith – Blakiston Company – 1943 Smith paints a picture of the main character Francie with the way the girl views math. Mrs. Miniver – Jan Struther – Mariner Books – 1990 Source of “Mrs. Miniver’s Problem” in mathematics. Tristrram Shandy – Laurence Stern Source of the “Tristram Shandy Paradox” put forth by Bertrand Russell. The Curious Incident of the Dog in the Night-time - Mark Haddon – Vintage – 2003 Highly recommended novel with many mathematical references including the Monty Hall problem. Smilla’s Sense of Snow – Peter Hoeg – Delta – 1993 Another novel where the main character is described via her thoughts on math and numbers. Adventures of Huckleberry Finn – Mark Twain Huck Finn expresses how he has no use for math. Life on the Mississippi – Mark Twain – Dover – 2000 Twain makes several mathematical references including a humorous example of mathematical extrapolation. Moby Dick - Herman Melville – Bantam Classics – 1967 The narrator gives a detailed description of the cycloid curve. Gravity’s Rainbow – Thomas Pynchon – Penguin Classics – 2006 Includes many mathematical references. Young Torless – Robert Musil Imaginary numbers are used to symbolize the irrational aspects of life. The Time Machine – H.G. Wells Wells makes references to the fourth dimension as time, an example of how discoveries in math influenced science fiction writers. Far From the Madding Crowd – Thomas Hardy Hardy uses mathematical vocabulary descriptively: “he seemed to approach the grave as a parabolic curve approaches a line.” Slaughterhouse Five – Kurt Vonnegut Humorous reference to the fourth dimension. Alice in Wonderland/ Through the Looking Glass – Lewis Carroll Includes many mathematical and logical references. Carroll was actually mathematician Charles Dodgson. The Solitude of Prime Numbers – Paolo Giardano Includes references to prime number and twin primes to effectively illuminate the main character. The Housekeeper and the Professor – Yoko Ogawa A professor has issue with short term memory and uses numbers as his way of reaching out to the world. The Phantom Tollbooth – Norton Juster Excellent children’s novel where a boy visits Dictionopolis and Digitopolis with many mathematical references. The Dot and the Line – Norton Juster A line falls in love with a dot who is in love with a squiggle – romantic issues ensue. Another humorous children’s novel by Juster. A Wrinkle in Time – Madeleine L’Engle – Dell -1962 Includes references to the tesseract and higher dimensions. Here are several examples of novels where the main character uses math to solve crimes: The Oxford Murders – Guillermo Martinez The Square Root of Murder – Ada Madison Pythagorean Crimes – Tefcros Michaelides The Fractal Murders – Mark Cohen Strangler Figs – Peggy Brown The following illustrate how mathematics has been used in short stories. The World of Mathematics Volume 4, Part XXIII: Mathematics in Literature – James Newman, editor – Dover Publications – 1956 Includes several mathematical short stories. The Unimaginable Mathematics of Borges’ Library of Babel – William Goldbloom Bloch – Oxford University Press – 2008 Explores many mathematical aspects of Borges’ short story “Library of Babel” including combinatorics and topology. Edgar Allen Poe: Complete Tales and Poems, “The Gold Bug” – Edgar Allen Poe – Castle Books – 2002 Poe uses cryptology in this famous story. Poe was fascinated with cryptology. The Complete Sherlock Holmes, “The Adventure of the Dancing Men” - Arthur Conan Doyle – Bantam Classics – 2003 Another example of an author using cryptology in another famous short story. The Mathematical Magpie – Clifton Fadiman – Springer – 1997 Excellent collection of mathematical short stories by various authors. Fantasia Mathematica – Clifton Fadiman – Copernicus – 1997 Another excellent collection of mathematical short stories by various authors. The following are also collections of mathematical short stories: Imaginary Numbers: An Anthology of Marvelous Mathematical Stories, Diversions, Poems, and Musings – William Frucht – Wiley – 1999 Mathnauts: Tales of Mathematical Wonder – Rudy Rucker (ed.) – 1987 Reality Conditions: Short Mathematical Fiction – Alex Kasman – MAA - 2005 The following books address how mathematics has been used in poetry including its use in imagery and structure of poems, and in analysis of rhyme schemes and syllable counts. Discovering Patterns in Mathematics and Poetry – Marcia Birken and Anne C. Coon – Rodopi – 2008 Excellent book about the relationships between math and poetry, Very highly recommended! Poetry and Mathematics – Scott Buchanan – University of Chicago Press – 1975 Essay about the relationship between poetry and math. The following online articles are excellent: “Mathematics in Poetry” – JoAnne Growney – Journal of Online Mathematics and Its Applications “Mathematics Influences Poetry”, Journal of Mathematics and the Arts, Vol.2, No.1, March 2008 – Joanne Growley The Poetry of Victorian Scientists – Daniel Brown Exploration of Victorian scientists who were also poets. Fractal Music, Hypercards, and More – Martin Gardner – W.H. Freeman – 1992 – Chapter 2 “The Tinkling Temple Bells”(information about Bell Numbers, used in analysis of rhyme schemes), Chapter 18 “Pi and Poetry”, Chapter 19 “More on Poetry” Time Travel and Other Mathematical Bewilderments – Martin Gardner – W.H. Freeman – 1988 - Chapter 20 “Catalan Numbers” (information about Catalan Numbers, used in analysis of rhyme schemes) Penrose Tiles to Trapdoor Ciphers – Martin Gardner – W.H. Freeman – 1989 - Chapter 6 “The Oulipo”, Chapter 7 “The Oulipo II” (information about OULIPO) Oulipo: A Primer of Potential Literature – Warren F. Motte – Dalkey Archive Press – 2008 Explores the Oulipo movement. Among others things they looked at how to incorporate math into poetry. alphabet – Inger Christensen – New Directions – 2000 Poem based on Fibonacci sequence. Geometries – Guillevic – Ugly Duckling press – 2010 Excellent collection of short poems about geometry. Crossing the Equal Sign – Marion Deutsche Cohen – Plain View Press – 2007 Collection of mathematical poetry. Strange Attractors: Poems of Love and Mathematics – Sarah Glaz and Joanne Growney (editors) - A K Peters/CRC Press – 2008 Superlative collection of poems with mathematical themes. The following are also collections of poetry with math and science themes: Verse and Universe: Poems about Science and Mathematics – Kurt Brown – Milkweed Editions - 1998 Against Infinity: An Anthology of Contemporary Mathematical Poetry – Ernest Robson, ed. – Primary Press 1979 Imagination’s Other Place: Poems of Science and Mathematics – Helen Plotz, ed. – Thomas Y. Crowell 1955 Songs from Unsung Worlds: Science in Poetry – Bonnie Bilyeu Gordon, ed. – Birkhauser - 1985 The following illustrate how mathematics has been used in drama and plays. The Birds – Aristophanes – Penguin Classics – 2003 Aristophanes includes a satire of geometer Meton. Breaking the Code – Hugh Whitemore - Samuel French, Inc. – 1987 Play about mathematician Alan Turing. Love Song of the Electric Bear – Sno Wilson – 2015 Another play about Alan Turing. Proof : A Play – David Auburn - Faber and Faber – 2000 A play about genius mathematicians: father and daughter. Arcadia : A Play – Tom Stoppard – Faber and Faber – 1994 A female genius of the 19th century anticipates twentieth century topics of chaos and iteration. Victoria Martin: Math Team Queen – Kathryn Walat – 2007 The title says it! The following sources address mathematicians who also made contributions in a literary field and vice versa. Agnesi to Zeno: Over 100 Vignettes from the History of Math – Sanderson Smith – Key Curriculum Press – 1996 Various articles including information on Omar Khayyam and Longfellow. Borges and Mathematics – Guillermo Martinez Explore math used in the works of author Jorge Luis Borges. The following are mathematical works by Lewis Carroll (mathematician Charles Dodgson): The Mathematical Recreations of Lewis Carroll: Pillow Problems and a Tangled Tale – Lewis Carroll – Dover – 1958 The Mathematical Recreations of Lewis Carroll: Symbolic Logic and Game of Logic – Lewis Carroll – Dover - 1958 “C.L. Dodgson: Mathematician” – Tony Beale – article in Alice in Wonderland by Lewis Carroll, Norton Critical Edition, 1992 Lewis Carroll in Numberland: His Fantastical Mathematical Logical Life – Robin Wilson – W.W. Norton & Company – 2008 Excellent look at the mathematical works of Lewis Carroll. Highly recommended. The Laws of Verse – J.J. Sylvester – Ulan Press Written by the famous mathematician whose passion was poetry. Nihilist Girl – Sofya Kovalevsky Novel written by mathematician Sofya Kovalevsky. Here is an example of literary elements found in a mathematical text. Lilavati – Colebrooke translation Bhaskara’s mathematics text from India is written in poetic language. The Mathematics of Egypt, Mesopotamia, China, India, and Islam: A Sourcebook, “Chapter 4: Mathematics of India” – Victor Katz, editor - Princeton University Press – 2007 Information covering the Lilavati. Kavanagh – Henry Wadsworth Longfellow Longfellow addressed the Lilavati in this novel. The following address in general how mathematics and literature have influenced one another including cultural attitudes towards mathematics, both positive and negative, that have been reflected in literary works. Mathematics in Western Culture, Chapter XVIII: The Newtonian Influence: Literature and Aesthetics – Morris Kline - Oxford University Press – 1953 Discusses how Newton’s work and the Age of Reason influenced literature. “Mathematics in Literature”- article in Essays in Humanistic Mathematics – Ubiratan D’Ambrosio – MAA – 1992 Discusses relationship between literature and math.