By Mark Solomonovich
This textbook is a self-contained presentation of Euclidean Geometry, a subject matter that has been a middle a part of university curriculum for hundreds of years. The dialogue is rigorous, axiom-based, written in a standard demeanour, real to the Euclidean spirit. differences within the Euclidean airplane are integrated as a part of the axiomatics and as a device for fixing development problems.
The textbook can be utilized for educating a highschool or an introductory point collage path. it may be specially steered for faculties with enriched mathematical courses and for homeschoolers searching for a rigorous conventional dialogue of geometry.
The textual content is provided with over 1200 questions and difficulties, starting from easy to tough. The ideas sections of the ebook comprise approximately 2 hundred solutions and tricks to options and over a hundred precise suggestions regarding proofs and buildings. extra ideas and a few supplementations for academics come in the Instructor’s handbook, that is issued as a separate book.
From the Reviews... ‘In phrases of presentation, this article is extra rigorous than any current highschool textbook that i do know of. it truly is in keeping with a method of axioms that describe occurrence, postulate a proposal of congruence of line segments, and imagine the lifestyles of adequate inflexible motions ("free mobility")…
My intestine response to the ebook is, would it not be brilliant if American highschool scholars can be uncovered to this severe mathematical remedy of basic geometry, rather than the entire junk that's offered to them in present textbooks.
This publication makes no concession to the TV-generation of scholars who wish (or is it the publishers who wish it for them?) beautiful photos, facet bars, puzzles, video games, old references, cartoons, and all these coloured photos that muddle the pages of a regular smooth textbook, whereas the mathematical content material is diluted a growing number of with every one successive edition.’
Professor Robin Hartshorne, college of California at Berkeley.
‘The textbook “Euclidean Geometry” via Mark Solomonovich fills a tremendous hole within the plethora of mathematical textbooks – it presents an exposition of classical geometry with emphasis on common sense and rigorous proofs…
I will be overjoyed to work out this textbook utilized in Canadian faculties within the framework of a stronger geometry curriculum. till this present day comes, I hugely suggest “Euclidean Geometry” via Mark Solomonovich for use in arithmetic Enrichment courses throughout Canada and the USA.’
Professor Yuly Billig, Carlton college