Pure Mathematics


Pure Mathematics: A First Course
Abstract Algebra: Theory and Applications
Principles of Mathematical Analysis
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Topology Without Tears
 
by
Sidney A. Morris
Category Theory in Context (Aurora: Dover Modern Math Originals)
Sheaves in Geometry and Logic: A First Introduction to Topos Theory (Universitext)
Mathematical Statistics and Data Analysis by John A. Rice
Geometric Graphs and Arrangements: Some Chapters from Combinatorial Geometry (Advanced Lectures in Mathematics)
Graph Theory (Graduate Texts in Mathematics)
Fractional Graph Theory: A Rational Approach to the Theory of Graphs (Wiley-Interscience Series in Discrete Mathematics and Optimization)
Thirty Essays on Geometric Graph Theory (Algorithms and Combinatorics)
Topology
Mathematics: Its Content, Methods and Meaning (3 Volumes in One)
A Most Elegant Equation: Euler's Formula and the Beauty of Mathematics
The Music of the Primes
G.H. Hardy
One rather curious conclusion emerges, that pure mathematics is on the whole distinctly more useful than applied. ... For what is useful above all is technique, and mathematical technique is taught mainly through pure mathematics.
G.H. Hardy, A Mathematician's Apology

Bertrand Russell
It might seem that the empirical philosopher is the slave of his material, but that the pure mathematician, like the musician, is a free creator of his world of ordered beauty.
Bertrand Russell, A History of Western Philosophy

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