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An Illustrated Theory of Numbers
PDF Download An Illustrated Theory of Numbers
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Review
This is a meticulously written and stunningly laid-out book influenced not only by the classical masters of number theory like Fermat, Euler, and Gauss, but also by the work of Edward Tufte on data visualization. Assuming little beyond basic high school mathematics, the author covers a tremendous amount of territory, including topics like Ford circles, Conway's topographs, and Zolotarev's lemma which are rarely seen in introductory courses. All of this is done with a visual and literary flair which very few math books even strive for, let alone accomplish.-- Matthew Baker, Georgia Institute of Technology“An Illustrated Theory of Numbers” is a textbook like none other I know; and not just a textbook, but a work of practical art. This book would be a delight to use in the undergraduate classroom, to give to a high school student in search of enlightenment, or to have on your coffee table, to give guests from the world outside mathematics a visceral and visual sense of the beauty of our subject.-- Jordan Ellenberg, University of Wisconsin-Madison, author of “How Not to Be Wrong: the Power of Mathematical Thinking”Weissman's book represents a totally fresh approach to a venerable subject. Its choice of topics, superb exposition and beautiful layout will appeal to professional mathematicians as well as to students at all levels.-- Kenneth A. Ribet, University of California, Berkeley
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About the Author
Martin H. Weissman, University of California, Santa Cruz, CA.
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Product details
Hardcover: 323 pages
Publisher: American Mathematical Society (August 8, 2017)
Language: English
ISBN-10: 1470434938
ISBN-13: 978-1470434939
Product Dimensions:
8.5 x 1 x 11 inches
Shipping Weight: 1.2 pounds (View shipping rates and policies)
Average Customer Review:
4.5 out of 5 stars
6 customer reviews
Amazon Best Sellers Rank:
#8,749 in Books (See Top 100 in Books)
I had the pleasure of taking the number theory class with Prof. Martin Weissman and we used this book. What struck me about this book was the visual and the illustrative nature of it. I like to get a couple different books every time I take a class and comparatively learn from the textbooks I have at hand. In my experience, there's no book of this nature.Pedagogically, it is brilliantly done. The concepts are presented in a way that is intuitive and not only taught me a lot about number theory that I internalized well but also taught me how to teach, present and learn concepts within mathematics and robotics (my primary field of study). Interesting questions and puzzle exercises are posited that will make you develop an inner exigence of wanting to learn a concept. In my past experience, that is where the best learning happens. No words will do justice to what this book is. I've been using amazon prime for a long time and this is my first review. This is an exceptional book and I highly recommend it.
I used this book for an introductory number theory course, where we covered unique factorization, congruences, and ended off at quadratic reciprocity. The book does its job well for what it is. However, sometimes the emphasis on visualizing number theory left arguments a bit sour. More likely than not, it has to do with my style of learning, but there was something about it that left them feeling not rigorous. The book has great exposition, but the specific style of visualization isn't necessarily my cup of tea. If you're a much more visual learner, then this book is for you! Otherwise, I'd recommend Ireland and Rosen if you've seen any abstract algebra or even Hardy and Wright.
Much needed at the right price
Great book!!
Great Book
A truly top notch math book. It covers the basics wonderfully, and motivates the later material with gorgeous illustrations and clear descriptions. The historical notes are a nice touch.Really, the care and attention to detail that went into this book are apparent on every page. If you only buy one book on mathematics this year, make it An Illustrated Theory of Numbers.
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