Interweaving Topics, Problems, and Solutions
Engaging and thought-provoking mathematical problems are presented to inspire readers with a talent for mathematics. The book aims to shift perspectives, encourage deeper exploration, and potentially lead to independent research and projects. It serves as a catalyst for those interested in enhancing their mathematical thinking and creativity.
Focusing on the practical applications of geometric theory, this book delves into classic theorems and formulas, revealing their fascinating properties and connections. It emphasizes geometric thinking, encouraging readers to recognize and develop this skill through a series of interconnected topics. By solving a variety of problems, readers will grasp general techniques applicable to different scenarios, all rooted in high school-level geometry. The book offers numerous challenges, with solutions provided at the end, promoting an engaging learning experience.
The book explores non-standard mathematical and logical problems, offering a structured approach to finding solutions. It emphasizes key steps for tackling difficult challenges, including planning and employing mental models. Readers are guided through the process of conceptualizing and solving unconventional problems, enhancing their problem-solving skills in mathematics.
A high school course in geometry and interest in the subject are the only prerequisites for this recreational math book. Includes relevant theorems, worked examples, and problems for readers to solve. Solutions included.
Equations are the lifeblood of mathematics, science, and technology, and this book examines equations of all kinds. With his masterful ability to convey the excitement and elegance of mathematics, author Boris Pritsker explores equations from the simplest to the most complex—their history, their charm, and their usefulness in solving problems. The Equations World bridges the fields of algebra, geometry, number theory, and trigonometry, solving more than 280 problems by employing a wide spectrum of techniques. The author demystifies the subject with efficient hints, tricks, and methods that reveal the fun and satisfaction of problem solving. He also demonstrates how equations can serve as important tools for expressing a problem's data, showing the ways in which they assist in fitting parts together to solve the whole puzzle. In addition, brief historical tours reveal the foundations of mathematical thought by tracing the ideas and approaches developed by mathematicians over the centuries. Both recreational mathematicians and ambitious students will find this book an ample source of enlightenment and enjoyment.