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Product Details 基本信息 ISBN-13 书号 9781470456160 Author 作者 Claudi Alsina |Roger B. Nelsen Format 版本 平装-胶订 Pages Number 页数 327页 Publisher 出版社 American Mathematical Society (AMS) Publication Date 出版日期 2020-07-30 Language 语种 其它（含多语） Book Contents 内容简介 The authors present twenty icons of mathematics, that is, geometrical shapes such as the right triangle, the Venn diagram, and the yang and yin symbol and explore mathematical results associated with them. As with their previous books (Charming Proofs, When Less is More, Math Made Visual) proofs are visual whenever possible. The results require no more than high-school mathematics to appreciate and many of them will be new even to experienced readers. Besides theorems and proofs, the book contains many illustrations and it gives connections of the icons to the world outside of mathematics. There are also problems at the
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Product Details 基本信息 ISBN-13 书号 9781470453121 Author 作者 Claudi Alsina |Roger B. Nelsen Format 版本 精装 Pages Number 页数 304页 Publisher 出版社 American Mathematical Society (AMS) Publication Date 出版日期 2020-02-28 Language 语种 其它（含多语） Book Contents 内容简介 A Cornucopia of Quadrilaterals collects and organizes hundreds of beautiful and surprising results about four-sided figures--for example, that the midpoints of the sides of any quadrilateral are the vertices of a parallelogram, or that in a convex quadrilateral (not a parallelogram) the line through the midpoints of the diagonals (the Newton line) is equidistant from opposite vertices, or that, if your quadrilateral has an inscribed circle, its center lies on the Newton line. There are results dating back to Euclid: the side-lengths of a pentagon, a hexagon, and a decagon inscribed in a circle can be assembled into a right tria
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Product Details 基本信息 ISBN-13 书号 9780883853429 Author 作者 Claudi Alsina Format 版本 精装 Pages Number 页数 199页 Publisher 出版社 American Mathematical Society (AMS) Publication Date 出版日期 2009-12-31 Product Dimensions 商品尺寸 247×170×15mm Shipping Weight 商品重量 410g Language 语种 其它（含多语） Book Contents 内容简介 Inequalities permeate mathematics, from the Elements of Euclid to operations research and financial mathematics. Yet too often the emphasis is on things equal to one another rather than unequal. While equalities and identities are without doubt important, they don’t possess the richness and variety that one finds with inequalities. The objective of this book is to illustrate how use of visualization can be a powerful tool for better understanding some basic mathematical inequalities. Drawing pictures is a well-known method for problem solving, and we
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Product Details 基本信息 ISBN-13 书号 9781470471842 Author 作者 Claudi Alsina Format 版本 平装-胶订 Pages Number 页数 274页 Publisher 出版社 American Mathematical Society (AMS) Publication Date 出版日期 2023-01-30 Language 语种 其它（含多语） Book Contents 内容简介 A Panoply of Polygons presents and organizes hundreds of beautiful, surprising and intriguing results about polygons with more than four sides. (A Cornucopia of Quadrilaterals, a previous volume by the same authors, thoroughly explored the properties of four-sided polygons.) This panoply consists of eight chapters, one dedicated to polygonal basics, the next ones dedicated to pentagons, hexagons, heptagons, octagons and many-sided polygons. Then miscellaneous classes of polygons are explored (e.g., lattice, rectilinear, zonogons, cyclic, tangential) and the final chapter presents polygonal numbers (figurate numbers based on polygons). Ap
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Product Details 基本信息 ISBN-13 书号 9780883853580 Author 作者 Claudi Alsina Format 版本 精装 Pages Number 页数 260页 Publisher 出版社 American Mathematical Society (AMS) Publication Date 出版日期 2015-12-31 Shipping Weight 商品重量 500g Language 语种 英语 Book Contents 内容简介 Solid geometry is the traditional name for what we call today the geometry of three-dimensional Euclidean space. This book presents techniques for proving a variety of geometric results in three dimensions. Special attention is given to prisms, pyramids, platonic solids, cones, cylinders and spheres, as well as many new and classical results. A chapter is devoted to each of the following basic techniques for exploring space and proving theorems: enumeration, representation, dissection, plane sections, intersection, iteration, motion, projection, and folding and unfolding. The book includes a selection of Challenges for
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