Boken behandlar den specialiserade kunskap i geometri som lärare behöver för att kunna bedriva en varierad och allsidig matematikundervisning samt för att kunna tolka, bedöma och utveckla elevers matematiska tankar, idéer och resonemang.Olika tankef…
From the author of The Accelerating Universe comes a thought-provoking look at phi or "The Golden Ratio," discovered by Euclid more than two thousand years ago, examining the meaning of this remarkable mathematical proportion in terms of science, bi…
Discusses the mythological properties assigned to geometric forms, and covers the Golden Section, gnomonic spirals, music, and the squaring of the circle
A beautiful and useful handbook on the Golden Section--also known as the Golden Ratio and Golden Mean--a perfect gift book.The Golden Section is a line segment divided into two parts, such that the ratio of the short portion to the longer portion is…
Children can test their math skills and learn the Pythagorean Theorem alongside young Pythagoras in this STEM adventure. Pythagoras' curiosity takes him from Samos to Alexandria, where he meets a builder named Neferheperhersekeper, who introduces hi…
Julie Ellis and Phyllis Hornung Peacock team up once again to explore Pythagorean ratios in this humorous sequel to WHAT'S YOUR ANGLE, PYTHAGORAS? Pythagoras and his cousins want to win a music contest, but first they must figure out how to play the…
The fundamental idea of geometry is that of symmetry. With that principle as the starting point, Barker and Howe begin an insightful and rewarding study of Euclidean geometry. The primary focus of the book is on transformations of the plane. The tra…
Twentieth-century developments in logic and mathematics have led many people to view Euclid's proofs as inherently informal, especially due to his use of diagrams. In "Euclid and His Twentieth-Century Rivals", Nathaniel Miller discusses the history…
Barron's E-Z Geometry contains everything students need to succeed in geometry. This edition covers the "how" and "why" of geometry, with examples, exercises, and solutions throughout, plus hundreds of drawings, graphs, and tables. The E-Z Series pr…
Presents a thorough, no-frills introduction to trigonometry in the general context of functions and their graphs. Emphasizes the functional aspect of trigonometry including an introductory chapter on general ideas of functions and graphs. Covers exp…
A squared plus "b "squared equals "c "squared. It sounds simple, doesn't it? Yet this familiar expression opens a gateway into the riotous garden of mathematics, and sends us on a journey of exploration in the company of two inspired guides, Robert…
Designed for a one-semester course at the junior undergraduate level, Transformational Plane Geometry takes a hands-on, interactive approach to teaching plane geometry. The book is self-contained, defining basic concepts from linear and abstract alg…
A flexagon is a motion structure that has the appearance of a ring of hinged polygons. It can be flexed to display different pairs of faces, usually in cyclic order. Flexagons can be appreciated as toys or puzzles, as a recreational mathematics topi…
'[In the book] we are dealing with a theme which cuts across the mathematics courses classically taught in the first four years of college. Thus it offers the reader the opportunity to learn, review and give long-term thought to the concepts covered…
Geometry has been an essential element in the study of mathematics since antiquity. Traditionally, we have also learned formal reasoning by studying Euclidean geometry. In this book, David Clark develops a modern axiomatic approach to this ancient s…
At last: geometry in an exemplary, accessible and attractive form! The authors emphasise both the intellectually stimulating parts of geometry and routine arguments or computations in concrete or classical cases, as well as practical and physical ap…
Since everything assembled consists of either straight lines, curved lines, or a combination of both, the ability to calculate circles and right triangles is essential for anyone who works in a building trade. This simple and straightforward book ex…
The great discovery that no one wanted to makeIt's the dawn of the Industrial Revolution, and Euclidean geometry has been profoundly influential for centuries. One mystery remains, however: Euclid's fifth postulate has eluded for two thousand years…
Circles and spheres are central objects in geometry. This work looks at systems of circles and spheres and the geometry and groups associated to them. It also examines the differential and projective geometry of the space of various spheres in a giv…
The Pythagorean Theorem is one of the fundamental theorems of elementary geometry, and Pythagorean triangles -- right triangles whose sides are natural numbers -- have been studied by mathematicians since antiquity. In this classic text, a brilliant…
This book documents the history of pi from the dawn of mathematical time to the present. One of the beauties of the literature on pi is that it allows for the inclusion of very modern, yet accessible, mathematics. The articles on pi collected herein…
This book is a collection of surveys and exploratory articles about recent developments in the field of computational Euclidean geometry. Topics covered include the history of Euclidean geometry, Voronoi diagrams, randomized geometric algorithms, co…
This book, first published in 2004, is a genuine introduction to the geometry of lines and conics in the Euclidean plane. Lines and circles provide the starting point, with the classical invariants of general conics introduced at an early stage, yie…
This introductory text is designed to help undergraduate students develop a solid foundation in geometry. Early chapters progress slowly, cultivating the necessary understanding and self-confidence for the more rapid development that follows. The ex…
This book is a collection of surveys and exploratory articles about recent developments in the field of computational Euclidean geometry. The topics covered are: a history of Euclidean geometry, Voronoi diagrams, randomized geometric algorithms, com…
In this short book, the authors discuss three types of problems from combinatorial geometry: Borsuk's partition problem, covering convex bodies by smaller homothetic bodies, and the illumination problem. They show how closely related these problems…
Deals with the treatise on conic sections.
The Description for this book, Proclus: A Commentary on the First Book of Euclid's Elements, will be forthcoming.
Designed for use within a junior/senior level geometry course, the topics covered in this text will enable the student to enhance their geometric skills, solve problems with a variety of old and new techniques (constructing models, conjectures, gues…
Originally published in 1920, this volume contains book one of Euclid's Elements in Greek, together with an introduction and notes section written in English. It was created to provide young students with a contextual understanding of geometry and t…
The Golden Section has played a part since antiquity in many parts of geometry, architecture, music, art and philosophy. However, it also appears in the newer domains of technology and fractals. In this way, the Golden Section is no isolated phenome…
Geometric shapes are all around us In this wordless book from top-selling picture-book creator Tana Hoban, children learn to look closely to find them. Circles, squares, stars, triangles, hearts, and rectangles--how many can you see? Simple, clear,…
