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Quaternion Algebras
This open access textbook presents a comprehensive treatment of the arithmetic theory of quaternion...
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(Almost) Impossible Integrals, Sums, and Series
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Elements of Mathematics: A Problem-Centered Approach to History and Foundations
This textbook offers a rigorous presentation of mathematics before the advent of calculus. Fundament...
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Steps into Analytic Number Theory : A Problem-Based Introduction
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On the Theory of Maass Wave Forms
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Around the Unit Circle: Mahler Measure, Integer Matrices and Roots of Unity
Mahler measure, a height function for polynomials, is the central theme of this book. It has many in...
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Quadratic Number Fields
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The Power of q: A Personal Journey
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Landscape of 21st Century Mathematics: Selected Advances, 2001–2020
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The Eigenbook
This book discusses the p-adic modular forms, the eigencurve that parameterize them, and the p-adic...
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Quadratic and Higher Degree Forms
In the last decade, the areas of quadratic and higher degree forms have witnessed dramatic advances....
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The Enjoyment of Math
What is so special about the number 30? Do the prime numbers go on forever? Are there more whole num...
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The Story of Proof: Logic and the History of Mathematics
The Story of Proof investigates the evolution of the concept of proof—one of the most significant an...
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Algebraic Number Theory for Beginners: Following a Path From Euclid to Noether
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