This textbook explores predicting quantum system states using symmetry and linear models, with applications in various scientific fields. It features an engaging style, numerous exercises, and a systematic organization. Aimed at math, physics, and chemistry majors, it serves as both a capstone course and an inspiration for further study.
Targeted at modern undergraduate students, this book emphasizes a supportive learning approach, blending mathematics with engaging narratives and historical context. It focuses on the basics of symplectic geometry through the lens of the two-body problem, illustrating the derivation of Kepler's laws from Newton's principles. By incorporating detailed examples and accessible explanations, the author aims to foster a deeper appreciation for mathematics among students who seek motivation and context in their studies, rather than merely efficient presentations.