Prelude to mathematics

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1. bgutierrezOct 2019
   Prelude to Mathematics by W.W. Sawyer was written to give students an overview of modern math concepts beyond algebra. Topics include non-euclidian geometry, linear algebra, projective geometry and group theory. Again, for someone with an understanding of algebra. I enjoyed it and think it's in the spirit of what you're looking for.

   Edit: Introduction to Graph Theory by Trudeau is another that I really liked. Very little was applicable to graphs as programmers think of them. Pure math that is easy to grasp and enjoy.

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2. raintreesFeb 2019
   Likely listed elsewhere, from the article for convenience:

   Zero: The Biography of a Dangerous Idea - Charles Seife

   Measurement - Paul Lockhart

   Prelude to Mathematics - W. W. Sawyer

   Proofs from The Book - Aigner and Ziegler

   The Joy of x - Steven Strogatz

   Things to Make and Do in the Fourth Dimension - Matt Parker

   What is Mathematics? - Courant and Robbins

   A History of PI - Petr Beckmann

   An Imaginary Tale - Paul Nahin

   e: The Story of a Number - Eli Maor

   Imagining Numbers - Barry Mazur

   Journey Through Genius - William Dunham

   Prime Obsession - John Derbyshire

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3. JimJinkinsJun 2009
   W. W. Sawyer

   Mathematician's Delight Prelude to Mathematics

   What is Calculus About? This is best intro to calculus I ever saw. When I taught introductory calculus, I recommended it to all my students.

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