An Excursion through Elementary Mathematics, Volume II pdf 安东尼奥·卡米尼亚·穆尼兹·内托
Explore the world of Euclidean Geometry with "An Excursion through Elementary Mathematics, Volume II: Euclidean Geometry," authored by Antonio Caminha Muniz Neto. This book offers an in-depth and comprehensive overview of elementary mathematics as featured in Mathematical Olympiads worldwide. It builds on high school topics and is an excellent resource for preparing for a first-semester undergraduate course.
The second volume covers a wide range of topics, including Plane Geometry, Trigonometry, Space Geometry, Vectors in the Plane, Solids, and more. Unlike other publications that often consist of a collection of questions or problem-solving tips, this book begins with the most basic theoretical principles, maintaining a balance between being too general and too axiomatic.
The book uses examples and problems to effectively demonstrate theoretical applications. Detailed proofs of propositions are provided, followed by their application to Olympic-level problems. Additionally, the book tackles some of the most challenging problems from National and International Mathematics Olympiads and explores many essential theorems relevant to the topics discussed.
An extensive Appendix is included, offering hints or complete solutions for all difficult problems, making this book a valuable resource for anyone looking to deepen their understanding of elementary mathematics at an advanced level.