Books published by American Mathematical Society

Presents the insights of abstract algebra in a welcoming and accessible way. The book succeeds in combining the advantages of rings-first and groups-first approaches while avoiding the disadvantages. The exposition is clear and conversational throughout. The book has numerous exercises in each section.

Based on lectures presented at the summer school on Harmonic Analysis, this voluume offers fresh, concise, and high-level introductions to recent developments in the field, often with new arguments not found elsewhere.

Provides an introduction to the fundamentals of enumeration for advanced undergraduates and beginning graduate students in the mathematical sciences. The book offers a careful and comprehensive account of the standard tools of enumeration and their application to counting problems for the fundamental structures of discrete mathematics.

Provides an introduction to hyperbolic geometry in dimension three, with motivation and applications arising from knot theory. The book was written to be interactive, with many examples and exercises. Some important results are left to guided exercises.

Illustrates the principles of Discrete Differential Geometry via several recent topics: discrete nets, discrete differential operators, discrete mappings, discrete conformal geometry, and discrete optimal transport.

The last of three volumes that, together, give an exposition of the mathematics of grades 9-12 that is simultaneously mathematically correct and grade-level appropriate. The volumes are consistent with Common Core State Standards for Mathematics and present the mathematics of K-12 as a totally transparent subject.