Differential Geometry: A Geometric Introduction, by David W. Henderson.

This textbook offers a concise introduction to symplectic and contact geometry, with a focus on the relationships between these subjects and other topics such as Lie theory and classical mechanics.

Prima Facie is pleased to announce the release of Musica Sancta as part of a new series, Reticere, which aims to promote unsung heroes of music, both composers and performers. This new album from the chamber choir Kantos and their director Elspeth Slorach focusses on music for the Christmas period by composer David W. Jepson.

The modern subject of differential forms subsumes classical vector calculus. This text presents differential forms from a geometric perspective accessible at the advanced undergraduate level. The author approaches the subject with the idea that complex concepts can be built up by analogy from simpler cases, which, being inherently geometric, often can be best understood visually.

A self-contained introduction to the fundamentals of mathematical analysis
Mathematical Analysis: A Concise Introduction presents the foundations of analysis and illustrates its role in mathematics. By focusing on the essentials, reinforcing learning through exercises, and featuring a unique "learn by doing" approach, the book develops the reader's proof writing skills and establishes fundamental comprehension of analysis that is essential for further exploration of pure and applied mathematics. This book is directly applicable to areas such as differential equations, probability theory, numerical analysis, differential geometry, and functional analysis.