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New Horizons in Geometry
512 pages, 2012
New Horizons in Geometry represents the fruits of 15 years of work in geometry by a remarkable team of prize-winning authors, Tom Apostol and Mamikon Mnatsakanian. It serves as a capstone to a wonderful collaboration (Apostol [Mathematical Analysis] has been teaching for over 50 years at Caltech).
Apostol and Mnatsakanian provide fresh and powerful insights into geometry that requires only a modest background in mathematics. Using new and intuitively rich methods, they give beautifully illustrated proofs of results, the majority of which are new, and frequently develop extensions of familiar theorems that are often surprising and sometimes astounding. It is a mathematical exposition of the highest order.
Mamikon A. Mnatsakanian's book, New Horizons in Geometry, offers a fresh perspective on the subject. He presents complex geometric concepts in a way that's easy to understand, making it a great resource for both beginners and experts.
The author introduces a unique teaching method called 'Mamikon's Visual Calculus'. This approach simplifies complex calculations and helps you visualize geometric problems, making it easier to solve them. It's a great tool to add to your mathematical toolkit.
New Horizons in Geometry doesn't just teach you about geometry, it also gives you a glimpse into its history. Mnatsakanian explores the evolution of geometric concepts and theories, helping you understand how they've shaped our world.
The book doesn't just stick to theory. It also shows you how to apply these geometric concepts in real-world situations. This practical approach can help you see the relevance of geometry in everyday life and inspire you to explore it further.
Despite being a book on a complex subject, New Horizons in Geometry is surprisingly engaging. The author's conversational tone and clear explanations make it accessible to everyone, not just math enthusiasts. So, if you've ever been curious about geometry, this is the book to check out.