Carus Mathematical Monographs


The Carus Mathematical Monographs is a monograph series published by the Mathematical Association of America. Books in this series are intended to appeal to a wide range of readers in mathematics and science.

Scope and audience

While the books are intended to cover nontrivial material, the emphasis is on exposition and clear communication rather than novel results and a systematic Bourbaki-style presentation. The webpage for the series states:
The exposition of mathematical subjects that the monographs contain are set forth in a manner comprehensible not only to teachers and students specializing in mathematics, but also to scientific workers in other fields. More generally, the monographs are intended for the wide circle of thoughtful people familiar with basic graduate or advanced undergraduate mathematics encountered in the study of mathematics itself or in the context of related disciplines who wish to extend their knowledge without prolonged and critical study of the mathematical journals and treatises.

Many of the books in the series have become classics in the genre of general mathematical exposition.

Series listing

  1. Calculus of Variations, by G. A. Bliss
  2. Analytic Functions of a Complex Variable, by D. R. Curtiss
  3. Mathematical Statistics, by H. L. Rietz
  4. Projective Geometry, by J. W. Young
  5. A History of Mathematics in America before 1900, by D. E. Smith and Jekuthiel Ginsburg
  6. Fourier Series and Orthogonal Polynomials, by Dunham Jackson
  7. Vectors and Matrices, by C. C. MacDuffee
  8. Rings and Ideals, by N. H. McCoy
  9. The Theory of Algebraic Numbers, second edition, by Harry Pollard and Harold G. Diamond
  10. The Arithmetic Theory of Quadratic Forms, by B. W. Jones
  11. Irrational Numbers, by Ivan Niven
  12. Statistical Independence in Probability, Analysis and Number Theory, by Mark Kac
  13. A Primer of Real Functions, third edition, by Ralph P. Boas, Jr.
  14. Combinatorial Mathematics, by Herbert John Ryser
  15. Noncommutative Rings, by I. N. Herstein
  16. Dedekind Sums, by Hans Rademacher and Emil Grosswald
  17. The Schwarz Function and its Applications, by Philip J. Davis
  18. Celestial Mechanics, by Harry Pollard
  19. Field Theory and its Classical Problems, by Charles Robert Hadlock
  20. The Generalized Riemann Integral, by Robert M. McLeod
  21. From Error-Correcting Codes through Sphere Packings to Simple Groups, by Thomas M. Thompson
  22. Random Walks and Electric Networks, by Peter G. Doyle and J. Laurie Snell
  23. Complex Analysis: The Geometric Viewpoint, by Steven G. Krantz
  24. Knot Theory, by Charles Livingston
  25. , by Sherman K. Stein and Sándor Szabó
  26. The Sensual Form, by John H. Conway assisted by Francis Y. C. Fung, 1997,
  27. A Panorama of Harmonic Analysis, by Steven G. Krantz, 1999,
  28. Inequalities from Complex Analysis, by John P. D'Angelo, 2002,
  29. Ergodic Theory of Numbers, by Karma Dajani and Cor Kraaikamp, 2002,
  30. A Tour through Mathematical Logic, by Robert S. Wolf, 2005,
  31. Randomness and Recurrence in Dynamical Systems: a Real Analysis Approach, by Rodney Nillsen, 2010,
  32. Linear Inverse Problems and Tikhonov Regularization, by Mark S. Gockenbach, 2016,
  33. Near the Horizon: An Invitation to Geometric Optics, by Henk W. Broer, 2017,
  34. Finding Ellipses: What Blaschke Products, Poncelet’s Theorem, and the Numerical Range Know about Each Other'', by Ulrich Daepp, Pamela Gorkin, Andrew Shaffer, and Karl Voss, 2018,