- College Algebra - Math 116 - Lecture Notes by James Jones
These notes were written during the Fall 1997 semester to accompany Larson's College Algebra: A Graphing Approach, 2nd edition text. We have moved on to Larson's 4th edition and some sections have changed but I have left them where they are since many people on the Internet find these useful resources. The notes were updated in the Fall 2003 semester to use Cascading Style Sheets and validate as XHTML 1.0 strict web pages. If your browser doesn't support CSS, certain pages (especially those with matrices) will not display properly.
Note: A nice book on basic algebra operations.
- The Music of the Primes: Searching to Solve the Greatest Mystery in Mathematics - Marcus du Sautoy
The quest to bring advanced math to the masses continues with this engaging but quixotic treatise. The mystery in question is the Riemann Hypothesis, named for the hypochondriac German mathematician Bernard Reimann (1826-66), which ties together imaginary numbers, sine waves and prime numbers in a way that the world's greatest mathematicians have spent 144 years trying to prove. Oxford mathematician and BBC commentator du Sautoy does his best to explain the problem, but stumbles over the fact that the Riemann Hypothesis and its corollaries are just too hard for non-tenured readers to understand. He falls back on the staples of math popularizations by shifting the discussion to easier math concepts.
Amazon.com: The Music of the Primes: Searching to Solve the Greatest Mystery in Mathematics (9780060935580): Marcus du Sautoy: Books
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Note: Availble at Melb uni maths library:
- Fermat's Last Theorem by Simon Singh
Over three hundred and fifty years were to pass before a mild-mannered Englishman finally cracked the mystery in 1995. Fermat by then was far more than a theorem. Whole lives had been devoted to the quest for a solution. There was Sophie Germain, who had to take on the identity of a man to conduct research in a field forbidden to females. The dashing Evariste Galois scribbled down the results of his research deep into the night before sauntering out to die in a duel. The Japanese genius Yutaka Taniyama killed himself in despair, while the German industrialist Paul Wolfskehl claimed Fermat had saved him from suicide.
Note: In the states it was called: Fermat's Enigma: The Epic Quest to Solve the World's Greatest Mathematical Problem by SIMON SINGH and JOHN LYNCH (http://www.amazon.com/Fermats-Enigma-Greatest-Mathematical-Problem/dp/0385493622/ref=sr_1_1/103-5448947-8371815?ie=UTF8&s=books&qid=1180070589&sr=8-1). And e ...morelsewhere: Fermat's Last Theorem: The Story of a Riddle That Confounded the World's Greatest Minds for 358 Years.
- A Mathematician's Apology (Canto) (Paperback) by G. H. Hardy, C. P. Snow (Foreword)
A Mathematician's Apology is a profoundly sad book, the memoir of a man who has reached the end of his ambition, who can no longer effectively practice the art that has consumed him since he was a boy. But at the same time, it is a joyful celebration of the subject--and a stern lecture to those who would sully it by dilettantism or attempts to make it merely useful. "The mathematician's patterns," G.H. Hardy declares, "like the painter's or the poet's, must be beautiful; the ideas, like the colours or the words, must fit together in a harmonious way. Beauty is the first test: there is no permanent place in the world for ugly mathematics."
Amazon.com: A Mathematician's Apology (Canto) (9780521427067): G. H. Hardy, C. P. Snow: Books
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- Introduction to Mathematical Logic by Elliott Mendelson
I was sufficiently fortunate to have taken Professor Emeritus Mendelson's famous logic course at Queens College, the City University of New York, just two semesters before his retirement. I was, and continue to be, astonished by Dr. Mendelson's precise yet easy style, and the beautifully efficient organization of the subjects. Everything from the expository prose to the system of notational conventions has been carefully thought through so as to make the book both very substantive and very readable. In my opinion, it's the best introduction to serious mathematical logic currently on the market, and thanks to the genius of its author, it is likely to remain so for a long time. The buyer will not be disappointed.
Amazon.com: Introduction to Mathematical Logic, Fourth Edition (9780412808302): E. Mendelson: Books
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Note: LTU lib has it (2nd edition): http://library.latrobe.edu.au/search/XIntroduction+to+Mathematical+Logic+Elliott+Mendelson&searchscope=1&SORT=A/XIntroduction+to+Mathematical+Logic+Elliott+Mendelson&searchscope=1&SORT=A&extended=0&SUBKEY=Introduction%20to%20Mathematical%20Logic%20Elliott%20Mendelson/1% ...more2C3%2C3%2CB/frameset&FF=XIntroduction+to+Mathematical+Logic+Elliott+Mendelson&SORT=A&1%2C1%2C
- Littlewood's Miscellany: Books: Béla Bollobás (editor) - Amazon.com
Academic life in Cambridge especially in Trinity College is viewed through the eyes of one of its greatest figures. Most of Professor Littlewood's earlier work is presented along with a wealth of new material.
Amazon.com: Littlewood's Miscellany (9780521337021): John E. Littlewood, Béla Bollobás: Books
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- Musings of the Masters: An Anthology of Miscellaneous Reflections by Raymond Ayoub
The anthology is a collection of articles contiguous to the humanities written by renowned mathematicians of the twentieth century. The articles cover a variety of topics that, for want of a better name, shall be referred to as humanistic. An important criterion, thereby limiting the choice, is that the articles should be accessible to the literate reader who may or may not have technical knowledge of mathematics. The articles span roughly a century in time and a wide range in subject. They are by mathematicians acknowledged by their peers as outstanding creators whose work has added richly to the discipline. Each article is preceded by a brief biographical sketch of the author and a brief indication of the content.
Amazon.com: Musings of the Masters: An Anthology of Mathematical Reflections (Spectrum) (9780883855492): Raymond Ayoub: Books
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Note: Melbourne maths library got it (of course!): http://cat.lib.unimelb.edu.au/search/XMusings+of+the+Masters+An+Anthology+of+Miscellaneous+Reflection&f=&searchscope=30&m=&l=&Da=&Db=&p=&SORT=D/XMusings+of+the+Masters+An+Anthology+of+Miscellaneous+Reflection&f=&searchscope=30&m=&l=&Da=&Db=&p=&SORT=D&SUBK ...moreEY=Musings%20of%20the%20Masters%20An%20Anthology%20of%20Miscellaneous%20Reflection/1%2C32000%2C32000%2CB/frameset&FF=XMusings+of+the+Masters+An+Anthology+of+Miscellaneous+Reflection&SORT=D&1%2C1%2C
- Prisoner's Dilemma, William Poundstone - Fishpond.com.au
John von Neumann invented the digital computer, played a key role in the development of the atom bomb, constructed a branch of mathematics known as game theory, and became a defender of a movement to bomb the Russians before they could bomb us. Now comes a biography of this controversial genius and an exploration of his greatest idea--one that nearly triggered a nuclear war in 1950. Photographs.
Note: Grant recommended it; good light (populist) reading.
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