Topics in Geometry


Book Description

This volume presents an accessible, self-contained survey of topics in Euclidean and non-Euclidean geometry. It includes plentiful illustrations and exercises in support of the thoroughly worked-out proofs. The author's emphasis on the connections between Euclidean and non-Euclidean geometry unifies the range of topics covered.The text opens with a brief review of elementary geometry before proceeding to advanced material. Topics covered include advanced Euclidean and non-Euclidean geometry, division ratios and triangles, transformation geometry, projective geometry, conic sections, and hyperbolic and absolute geometry. Topics in Geometry includes over 800 illustrations and extensive exercises of varying difficulty.




The Poetics of Perspective


Book Description

"My principal concern in this book is the way we talk about pictures...Renaissance writers and artists imagined perspective quite differently than we do... I maintain... that Renaissance authors and artists thought there were many compatible perspectives, so that their writing and painting evince a "pluralist" approach in strict contrast to the monolithic mathematical perspective we imagine today. Theirs was more a collection of rational methods than a "rationalisation of sight", more a way of drawing objects than of setting them in an abstract "pictorial space". Most important... is the gradual recession of perspective as a mute method, a practical subset of geometry, and the growth of perspective as a metaphor, a powerful concept for ordering our perception and accounting for our subjectivity." -- Preface.







Bibliotheca Reuteriana


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Lectures on Mathematics


Book Description