Biscuits of Number Theory (Dolciani Mathematical Expositions) by Arthur T. Benjamin (PDF)

Description

You are probably wondering, ‘What exactly are biscuits of number theory?’ In this book, the editors have selected easily digested bite-sized articles and notes which aid an understanding of number theory. This is a collection of articles chosen for being exceptionally well written and capable of being appreciated by anyone who has taken (or is taking) a first course in number theory. The list of authors is outstanding, and the chapters cover arithmetic, primes, irrationality, sums of squares and polygonal numbers, Fibonacci numbers, number theoretic functions and elliptic curves, cubes, and Fermat’s last theorem. As with any anthology, you don’t have to read the chapters in order, you can dive in anywhere, making this book ideal for use as a textbook supplement for a number theory course.

User’s Reviews

Editorial Reviews: Review A collection of accessible and even profound essays on number theory gleaned from a wide variety of writers and journals–everyone from Euler to Quine, plus many recent popular expositions. An invigorating and generally undemanding excursion into surprise. A first rate book. –Bob Lockhart, London Math Society NewsletterArt Benjamin and Ezra Brown, editors of Biscuits of Number Theory, describe this book as follows: “an assortment of articles and notes on number theory, where each item is not too big, easily digested, and makes you feel all warm and fuzzy when you’re through. Benjamin teaches at Harvey Mudd College, was names “America’s best math whiz” by Reader’s Digest in May 2005. He’s also a professional magician who has appeared on many TV shows and National Public Radio. Brown teaches mathematics at Virginia Tech, and according to his web page, likes to bake his students actual biscuits. Biscuits of Number Theory consists of 40 short articles copies from journals such as Math Horizons, Mathematics Magazine, Mathematics Teacher, and the American Mathematical Monthly…. The authors represented include some of the best expositors of elementary number theory: Peter Borwein, Stan Wagon, Carl Pomerance, Ivan Niven, Edward Berger, Ross Honsberger, and Martin Gardent, just to name a few. The articles are classified into seven different parts: arithmetic, primes, irrationality and continued fractions, sums of squares and polygonal numbers, Fibonacci numbers, number-theoretic functions, and elliptic curves and Fermat’s last theorem. Many of the chapters will be accessible to high school students or even bright junior high students….Other chapters will likely be very mysterious even for beginning graduate students. Furstenberg’s topological proof of the infinitude of the primes will likely be incomprehensible for many students, as will the last article, about Fermat’s last theorem. But that doesn’t matter; it’s good when a book has some content above the level of the typical reader, because this will intrigue some readers sufficiently that they’ll feel the need to learn the required material. The challenge is to have the right amount, and my feeling is that this book has a good balance of material. –Jeffrey Shallit, Sigact News Book Description An anthology of articles ideal for use as a textbook supplement on a number theory course. Book Description An anthology of articles ideal for use as a textbook supplement on a number theory course. The editors have selected well written bite-sized articles and notes which aid an understanding of number theory. About the Author Arthur Benjamin earned his B.S. in Applied Mathematics from Carnegie Mellon and his Ph.D. in Mathematical Sciences from Johns Hopkins. Since 1989, he has taught at Harvey Mudd College, where he is Professor of Mathematics and past Chair. In 2000, he received the Haimo Award for Distinguished Teaching from the Mathematical Association of America. Since 2006 he has served as the MAA’s Polya Lecturer. He has been featured in numerous magazines, television and radio programmes.Ezra Brown grew up in New Orleans and has degrees from Rice University and Louisiana State University. Since 1969 he has been in the Mathematics Department at Virginia Tech, where he is currently Alumni Distinguished Professor. He is the author of some sixty papers, mostly in number theory and discrete mathematics. He received the Outstanding Teacher Award from the MD/DC/VA Section of the MAA, and he currently serves as that section’s governor. He received the Carl Allendoerfer Award (2003) and three George Polya Awards (2000, 2001, 2006) from the MAA for expository writing. Read more

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Great taste! Delectable! Several math circle talks will come out of this, for sure. It ranges from honey-soaked tidbits to truly brilliant insights that take a while to chew and digest.

⭐

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