Maor E. To infinity and beyond: a cultural history of the infinite

Princeton: Princeton University Press, 1991. — 301 p.Mathematical Infinity
First Steps to Infinity
Zero, One, Infinity
Towards Legitimation
Numbers Large and Small
Convergence and Limit
The Prime Numbers
The Fascination of Infinite Series
The Geometric Series
More about Infinite Series
Interlude: An Excursion into the Number Concept
The Discovery of Irrational Numbers
A Do-It-Yourself Method for Finding √
π, ф, and e — Three Celebrated Irrationals
Cantor's New Look at the Infinite
Beyond Infinity
Geometric Infinity
Some Functions and Their Graphs
Some Geometric Paradoxes Involving Infinity
Inversion in a Circle
Geographic Maps and Infinity
Tiling the Plane
A New Look at Geometry
The Vain Search for Absolute Truth
Aesthetic Infinity
Rejoice the Infinite!
The Mobius Strip
The Magic World of Mirrors
Horror Vacui, Amor Infiniti
Maurits C Escher—Master of the Infinite
The Modern Kabbalists
Cosmological Infinity
The Ancient World
The New Cosmology
The Horizons Are Receding
A Paradox and Its Aftermath
The Expanding Universe
The Modern Atomists
Which Way from Here?
Epilogue
Appendix