Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Anybody who liked their first geometry course (and some who did not) will enjoy the simply stated geometric problems about maximum and minimum lengths and areas in this book. Many of these already fascinated the Greeks, for example, the problem of enclosing the largest possible area by a fence of given length, and some were solved long ago; but others remain unsolved even today. Some of the solutions of the problems posed in this book, for example the problem of inscribing a triangle of smallest perimeter into a given triangle, were supplied by world famous mathematicians, other by high school students.

Geometry, Plane. --- Inequalities (Mathematics)

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Quadrilaterals. --- Geometry, Plane. --- Plane geometry --- Polygons

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This small book has for a long time been a unique place to find classical results from geometry, such as Pythagoras' theorem, the nine-point circle, Morley's triangle, Poncelet's polygons, and many other subjects. In addition, this book contains recent, geometric theorems which have been obtained in this classical field over the past years. There are 27 independent chapters on a wide range of topics in elementary plane Euclidean geometry, at a level just beyond what is usually taught in a good high school or college geometry course. The selection of topics is intelligent, varied, and stimulating. In a small space the author provides many thought-provoking ideas. This book will fit in well with the increasing interest for geometry in research and education. This book was originally published in Dutch, and this will be the first English translation. This translation also includes a new foreword by Robin Hartshorne. "This highly entertaining book will broaden the reader's historical perspective in an enlightening manner and it provides attractive topics for classroom discussion." -Hendrik Lenstra, Universiteit Leiden.

Mathematics. --- Geometry. --- Mathématiques --- Géométrie --- Geometry, Plane. --- Geometry, Plane --- Mathematics --- Physical Sciences & Mathematics --- Geometry --- Plane geometry --- Euclid's Elements

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This is a book on Euclidean geometry that covers the standard material in a completely new way, while also introducing a number of new topics that would be suitable as a junior-senior level undergraduate textbook. The author does not begin in the traditional manner with abstract geometric axioms. Instead, he assumes the real numbers, and begins his treatment by introducing such modern concepts as a metric space, vector space notation, and groups, and thus lays a rigorous basis for geometry while at the same time giving the student tools that will be useful in other courses. Jan Aarts is Professor Emeritus of Mathematics at Delft University of Technology. He is the Managing Director of the Dutch Masters Program of Mathematics.

Mathematics. --- Geometry. --- Mathématiques --- Géométrie --- Electronic books. -- local. --- Geometry, Plane. --- Geometry, Solid. --- Geometry, Plane --- Geometry, Solid --- Geometry --- Mathematics --- Physical Sciences & Mathematics --- Solid geometry --- Plane geometry --- Euclid's Elements --- Math --- Science

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Problem-Solving and Selected Topics in Euclidean Geometry: In the Spirit of the Mathematical Olympiads contains theorems of particular value for the solution of Olympiad-caliber problems in Euclidean Geometry. Selected geometric problems, which have been given in International Mathematical Olympiads (IMO) or proposed in short lists in IMO, are discussed. Additionally, a number of new problems proposed by leading mathematicians in the subject with their step-by-step solutions are presented. The book teaches mathematical thinking through Geometry and provides inspiration for both students and teachers. From the Foreword: “…Young people need such texts, grounded in our shared intellectual history and challenging them to excel and create a continuity with the past. Geometry has seemed destined to give way in our modern computerized world to algebra. As with Michael Th. Rassias’ previous homonymous book on number theory, it is a pleasure to see the mental discipline of the ancient Greeks so well represented to a youthful audience.” – Michael H. Freedman (Fields Medal in Mathematics, 1986) Sotirios E. Louridas has studied Mathematics at the University of Patras, Greece. He has been an active member of the Greek Mathematical Society for several years both as a problem poser and a coach of the Greek Mathematical Olympiad team. He has authored in Greek, a number of books in Mathematics.  Michael Th. Rassias has received several awards in mathematical problem-solving competitions including two gold medals at the Pan-Hellenic Mathematical Olympiads of 2002 and 2003 (Athens, Greece), a silver medal at the Balkan Mathematical Olympiad of 2002 (Targu Mures, Romania) and a silver medal at the 44th International Mathematical Olympiad of 2003 (Tokyo, Japan). He holds a Diploma from the School of Electrical and Computer Engineering of the National Technical University of Athens and a Master of Advanced Study in Mathematics from the University of Cambridge. He is currently a PhD student in Mathematics at ETH-Zürich. At the age of 22, he authored the book Problem-Solving and Selected Topics in Number Theory: In the Spirit of the Mathematical Olympiads – Foreword by Preda Mihăilescu (Springer, 2011), ISBN: 978-1-4419-0494-2.

Geometry, Plane --- Euclid's Elements --- Mathematics --- Physical Sciences & Mathematics --- Geometry --- Plane geometry --- Mathematics. --- Algebraic geometry. --- Geometry. --- Algebraic Geometry. --- Mathematics, general. --- Geometry, Plane. --- Euclid's Elements. --- Geometry, algebraic. --- Math --- Science --- Algebraic geometry