Honsberger Revisited

The author's purpose is to share the thrills and excitement of ingenious solutions to intriguing elementary problems that he has had the good fortune to have conceived in the pursuit of his passion over many years. His satisfaction lies in the beauty of these gems, not in the incidental fact that they happen to be his own work. A wonderful solution is a glorious thing, whoever might have thought of it, and the author has worked diligently to make easy reading of the joy and delights of his often hard-won success. In this volume the author collected his treatments of over a hundred problems from the treasure trove of Professor Honsberger. "This is a book for everyone who delights in the richness, beauty, and excitement of the wonderful ideas that abide in the realm of elementary mathematics. I feel it is only fair to caution you that this book can lead to a deeper appreciation and love of mathematics.

Mathemagical Cruise is not a mere collection of fun problems with clever solutions. It offers shining examples of how to approach problem solving. Each chapter is independent and can be read in any order by everyone with a basic background in high school mathematics. Some highlights of the excursion are: ● Slick Solutions of Double Sequence, Klarner’s Puzzle, Cube Tour, etc. ● Easy Proofs of Bolyai-Gerwin Theorem, Problem by P. Erdös and more ● New Year Puzzles (Especially, Year 2021 & 2022) ● Twelve Points on the Nine-Point Circle ● What's a Point in a Square? ● Five Circles through a 5x6 Grid ● Generalization of Ceva's Theorem ● Easy Approach to Coaxal Circles ● Inversion and its Applications ● Lattice Integer Triangles ● Isbell's Problem ● Sequence of Theorems of Simson & Cantor ● Miscellaneous Problems with Solutions By cruising through these treasure islands, the reader will traverse mathematical boundaries. Be adventurous and inspired to explore the seas beyond the horizon.

Mathemagical Buffet offers a delectable feast to everyone with a basic facility in secondary-school mathematics. Every topic reflects the incomparable excitement, beauty, and joy of mathematics; they present a wealth of ingenious insights and marvelous ideas at the fundamental level. The chapters are independent and can be read in any order. Everyone who enjoys elementary mathematics will truly delight in the following gems: . Pythagorean Triples via Geometry . New proofs of Generalizations of the Theorems of Ptolemy and Simson . Mind Reading Tricks, Ladder Lotteries, Mazes, Lattice Points, Round Robin Competitions, An Elementary Fixed Point Theorems and More . Simple proofs of the lovely Theorems of Pick and of Jung . The Constructibility of a Regular 17-gon . Open Problems on Egyptian Fractions and on Primes Moreover, the reader is gently encouraged to participate actively by responding to a line of questions that are thoughtfully sprinkled throughout the developments of the expositions.

Olympiad problems help able school students flex their mathematical muscles. Good Olympiad problems are unpredictable: this makes them worthwhile but it also makes them seem hard and even unapproachable. The Mathematical Olympiad Handbook contains some of the problems and solutions from the British Mathematical Olympiads from 1965 to 1996 in a form designed to help bright students overcome this barrier.

Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d

By focusing attention on the links between patterns of numbers and shapes, and on connections between algebraic relations and geometric and combinatorial configurations, the book aims to motivate deeper study of the concepts related to elementary mathematics, emphasize the importance of the interrelations between mathematical phenomena, and foster the interplay of ideas involved in problem solving.

This book provides a comprehensive, in-depth overview of elementary mathematics as explored in Mathematical Olympiads around the world. It expands on topics usually encountered in high school and could even be used as preparation for a first-semester undergraduate course. This second volume covers Plane Geometry, Trigonometry, Space Geometry, Vectors in the Plane, Solids and much more. As part of a collection, the book differs from other publications in this field by not being a mere selection of questions or a set of tips and tricks that applies to specific problems. It starts from the most basic theoretical principles, without being either too general or too axiomatic. Examples and problems are discussed only if they are helpful as applications of the theory. Propositions are proved in detail and subsequently applied to Olympic problems or to other problems at the Olympic level. The book also explores some of the hardest problems presented at National and International Mathematics Olympiads, as well as many essential theorems related to the content. An extensive Appendix offering hints on or full solutions for all difficult problems rounds out the book.