Fundamental Concepts of Geometry (Dover Books on Mathematics) by Bruce E. Meserve (PDF)

Description

Fundamental Concepts of Geometry demonstrates in a clear and lucid manner the relationships of several types of geometry to one another. This highly regarded work is a superior teaching text, especially valuable in teacher preparation, as well as providing an excellent overview of the foundations and historical evolution of geometrical concepts. Professor Meserve (University of Vermont) offers students and prospective teachers the broad mathematical perspective gained from an elementary treatment of the fundamental concepts of mathematics. The clearly presented text is written on an undergraduate (or advanced secondary-school) level and includes numerous exercises and a brief bibliography. An indispensable taddition to any math library, this helpful guide will enable the reader to discover the relationships among Euclidean plane geometry and other geometries; obtain a practical understanding of “proof”; view geometry as a logical system based on postulates and undefined elements; and appreciate the historical evolution of geometric concepts.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Companion Dover text with Fundamental concepts of algebra, B. Meserve. Gives classical as well as modern approachesand is a historical reference document as well.

⭐Have you ever thought to yourself, “Gee, I would like to learn more about geometry,” and picked up a copy of Heath’s translation of Euclid, only to give up after repeatedly failing to follow the train of thought of the first 50 to 100 pages, feeling lost in a turbulent sea of details? Are you also a person that dislikes being treated like an idiot or a dummy? Then this book is for you. It presents the concepts of Euclidean geometry in clear, logical format that will be more understandable to a modern person, without dumbing down the subject at all. Also, the book connects the ideas of Euclid with other more modern approaches…which Heath’s Euclid does also (to a certain degree). So I would highly recommend it to any reader pursuing a well-rounded understanding of mathematics.

⭐Meserve is hooked to the analytical treatment of geometry, which in my opinion is the wrong way…Forget about this confusion and adopt Coxeter’s SUM : Introduction to Geometry, Projective Geometry, Geometry Revisited, The Real Projective Plane, Non-Euclidean Geometry

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