An Illustrated Theory of Numbers

9.4
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The Illustrated Theory of Numbers is an exceptional mathematical guide for anyone who wants to learn about number theory. The book is written by Marty Weissman who is an accomplished mathematician and... recipient of the prestigious Guggenheim Fellowship for 2020. This recognition is a testament to the quality and depth of the content in this book. The Illustrated Theory of Numbers is a comprehensive introduction to number theory that covers all essential topics with complete proofs, worked examples, and exercises. The author ensures that the exposition of the material reflects the most recent scholarship in mathematics and its history. The book uses almost 500 sharp illustrations to accompany elegant proofs, starting from prime decomposition through quadratic reciprocity. The use of geometric and dynamical arguments in this book provides new insights on the subject, allowing for a rigorous approach with less algebraic manipulation. The final chapters contain an extended treatment of binary quadratic forms which uses Conway's topograph to solve quadratic Diophantine equations such as Pell's equation and to study reduction and the finiteness of class numbers. This book is unique because it introduces the reader to open questions and cutting-edge results in analytic number theory such as the Riemann hypothesis, boundedness of prime gaps, and the class number 1 problem using data visualizations. These visualizations give readers a better understanding of the subject, especially for those who are new to number theory. The book also includes historical notes that curate primary sources and secondary scholarship to trace the development of number theory within and outside the Western tradition. This contextualization makes the book not only an educational but also an enriching and enjoyable read. Anyone who has completed high school algebra and geometry can easily comprehend this book, which makes it suitable for a first course in elementary number theory. It is also ideal for mathematicians who are looking for a fresh perspective on an ancient subject. In summary, the Illustrated Theory of Numbers is an exceptional book that any student or mathematician with an interest in number theory should have on their shelf. With complete proofs, worked examples, exercises, and data visualizations, the book provides an excellent introduction to the subject and its history while reflecting the most recent scholarship in mathematics.

Number Theory Dover Books on Mathematics

9.2
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The Dover Books on Mathematics collection is proud to present "Number Theory" by renowned mathematician and teacher, George E. Andrews. This undergraduate text provides an essential introduction to el...

An Adventurer s Guide to Number Theory

8.8
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Are you ready to embark on a thrilling adventure through the intriguing world of Number Theory? Look no further than "An Adventurer's Guide to Number Theory", a must-read guide for anyone with an inte...

Fundamentals of Number Theory Dover Books on Mathematics

8.6
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If you're looking for a comprehensive introduction to number theory, the Fundamentals of Number Theory textbook from Dover Books on Mathematics is an excellent choice. Written by mathematician William...

Elementary Number Theory and Its Application 6th Edition

9.2
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Elementary Number Theory and Its Application 6th Edition is a comprehensive guide that provides a perfect blend of classical and modern concepts of number theory. The book is widely recognized for its...

Elements of Number Theory Undergraduate Texts in Mathematics

9.6
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Introduction to Number Theory

9.2
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An Introduction to the Theory of Numbers

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Number Theory and Its History

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