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Number Theory: A Very Short IntroductionNumber theory is the branch of mathematics that is primarily concerned with the counting numbers. Of particular importance are the prime numbers, the 'building blocks' of our number system. The subject is an old one, dating back over two millennia to the ancient Greeks, and for many years has been studied for its intrinsic beauty and elegance, not least because several of its challenges are so easy to state that everyone can understand them, and yet
Number theory is the branch of mathematics that is primarily concerned with the counting numbers. Of particular importance are the prime numbers, the 'building blocks' of our number system. The subject is an old one, dating back over two millennia to the ancient Greeks, and for many years has been studied for its intrinsic beauty and elegance, not least because several of its challenges are so easy to state that everyone can understand them, and yet no-one has ever been able to resolve them. But number theory has also recently become of great practical importance - in the area of cryptography, where the security of your credit card, and indeed of the nation's defence, depends on a result concerning prime numbers that dates back to the 18th century. Recent years have witnessed other spectacular developments, such as Andrew Wiles's proof of 'Fermat's last theorem' (unproved for over 250 years) and some exciting work on prime numbers. In this Very Short Introduction Robin Wilson introduces the main areas of classical number theory, both ancient and modern. Drawing on the work of many of the greatest mathematicians of the past, such as Euclid, Fermat, Euler, and Gauss, he situates some of the most interesting and creative problems in the area in their historical context. ABOUT THE SERIES:The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
Binding Type: Paperback
Publisher: Oxford University Press, USA
Published: 08/01/2020
ISBN: 9780198798095
Pages: 176
Weight: 0.30lbs
Size: 6.60h x 4.30w x 0.40d
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4.1 ★★★★★
Based on 28 reviews
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Product Reviews
★★★★★ 5
Tons of info!
Format: Paperback
If one wanted to be a real tracker, this book has everything needed. I just want to be able to recognize the local wildlife tracks. But having all the rest of the info is nice, and it's easy to take what I want. The book is well organized. Fantastic pictures, loads of information. It's interesting too, to see just how much knowledge goes into figuring out not only what animal it is, but what sex, age, gait, etc it is. This is an awesome book.
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Reviewed in the United States on January 18, 2025
★★★★★ 5
Caveats for the professional tracker
Format: Paperback, Format: Paperback
This is a most excellent resource, arguably the best single tracking book that exists (i would argue so, if i had to pick one! And i recommend this book often). However, if you are in a professional field where this legally matters (EIS or ESA decisions on wolverine/fisher/lynx, etc.), take heed: the authors’ methods of measuring tracks are confusing (i.e. - where is the line between substrate/mammal family to determine when claws or ‘posterior’ pads are or are not used in measuring tracks? ) Also, the claim that “an individual animal can show incredible variation in track size” (p.57) is very misleading… Foot size of an individual animal from birth to adult will obviously change, but will not change in a day for the same-aged individual animal regardless of whether it walks in mud or atop rock. The animal’s foot does not change in size, but its track might appear to. This perceived “change” could be easily avoided by using minimum outline measurements (which are not discussed in this book, but can be found in the work by J. Halfpenny and others). I understand their reasons, but please do not refer to this book for legally defensible measuring techniques of rare species!!!!
Also please disregard the negative reviewer who said “it’s a very Mythological Approach to how animals move and walk (jsopel),”- they clearly don’t know what that word means…
All in all a well-researched and fantastic book that comes from ample and legitimate experience. A great book and happy tracking!
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Reviewed in the United States on August 15, 2021
★★★★★ 5
A must have for wildlife lovers
Format: Paperback
Wow! What an excellent and thorough compilation of scat and tracks. Nice reference for when you take pics and bring the image back to the book for comparison. Also, great information about tracking.
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Reviewed in the United States on June 10, 2025
★★★★★ 4
Good but index needs improvement
Format: Paperback
This is a good, comprehensive guide to tracks and sign.
However, there is no index of where to find each family, so in order to find a species you have to flip through the entire book looking for the right page. This makes it annoying to use if you are trying to look up information on a particular species or family.
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Reviewed in the United States on April 2, 2026
★★★★★ 5
This is a very useful field manual for those interested in detailed traking methodology.
Format: Paperback
I spent many years as interpreter and ranger for the Colorado State Park System, now called CPW—Colorado Parks and Wildlife. We were annually tasked with surveying a given species' presence, density, and range in the park system and surrounding areas. Detailed field manuals were critical to the accuracy of our work, and HOW I WISH I HAD THIS BOOK DURING THAT PART OF MY CAREER. There are few other books I've come across providing detailed, yet very accessible information on how trail sign reflects animal behavior across different conditions, landscapes, and seasons (both weather seasons and mating seasons). One particular aspect of this book I found significantly intriguing was the section on predation—how does a mountain lion take down a mule deer vs. how wolves bring one down. The locations on a prey animal where a certain predator is most likely to attack, showing illustrations, is a remarkable piece of work, and there authors are clearly masters of interpreting tracks and sign! If you want learn about how mammals behave in their native environment, adding this book to your field manual packet will greatly expand your horizons! Busy it, read it, and get outside! Thank you Mr. Elbroch and Mr. McFarland for adding to the wildlife canon!
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Reviewed in the United States on August 5, 2023
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