A Short Course in Computational Geometry and Topology

This monograph delves into the fascinating realms of computational geometry and topology, offering a compact yet comprehensive overview of these crucial areas in mathematics. Howard Edelsbrunner expertly guides readers through the foundational concepts, ensuring a strong grasp of the essential theories and methodologies. By breaking down complex ideas into digestible segments, the work appeals to both newcomers and those looking to reinforce their understanding.

The exploration begins with fundamental principles of computational geometry, laying the groundwork for more advanced topics. Readers are introduced to practical applications and significant problems within the field, creating a rich context that enhances learning. The narrative seamlessly integrates basic concepts with real-world scenarios, fostering a deeper appreciation for the subject.

As the course progresses, topology emerges as a vital component, revealing its interplay with geometry. This synthesis not only highlights the profound connections between the two but also encourages readers to think critically about each discipline. The monograph serves as an invaluable resource for students and professionals alike, igniting curiosity and encouraging further exploration into the intricate world of computational geometry and topology.