Learning Geometry Through Problem Solving by Pritsker Boris – A Complete Guide to Mastering Plane Geometry with Proofs,

Introduction

Geometry is often seen as the gateway to logical reasoning and mathematical beauty. For Indian students and enthusiasts who wish to move beyond rote learning and truly understand the 'why' behind shapes, angles, and theorems, Learning Geometry Through Problem Solving by Pritsker Boris offers a refreshingly rigorous yet accessible approach. Published by World Scientific Publishing Company, this hardcover volume is a treasure trove of carefully curated problems designed to build deep, intuitive understanding. Whether you are a high school student preparing for competitive exams like JEE or a teacher looking for rich classroom material, this book promises to transform the way you engage with plane geometry.

Book Overview

This book is a comprehensive guide that places problem-solving at the heart of learning geometry. It assumes only elementary knowledge at the secondary school level, making it suitable for a wide range of readers. The author has assembled an exceptional collection of geometry exercises, with a balanced emphasis on three distinct types of problems: proofs, calculations, and geometric straightedge-and-compass constructions. The content is organized into seven well-structured chapters, each designed to progressively challenge the learner. From basic warm-up exercises to advanced problems in triangles, quadrilaterals, circles, and areas, the book ensures a smooth learning curve. The first chapter is particularly valuable as it introduces several useful strategies and techniques for approaching geometric problems, setting the stage for deeper exploration.

Key Highlights

• Balanced Problem Types: Equal weight is given to proofs, calculations, and constructions—ensuring holistic skill development.
• Gradual Difficulty Progression: Problems are arranged in approximate order of increasing difficulty within each chapter, allowing readers to build confidence step by step.
• Warm-Up Chapter: A dedicated chapter of warm-up exercises helps refresh basic facts and 'stretch' geometric muscles before tackling advanced topics.
• Practical Construction Focus: Straightedge-and-compass problems are included to enhance spatial reasoning and hands-on understanding.
• Rigorous Yet Accessible: Suitable for self-study or classroom use, with clear explanations and a focus on logical thinking.

Inside the Book

The book is divided into seven chapters. The first chapter discusses essential strategies and techniques for approaching geometric problems. The second chapter provides warm-up exercises to reinforce fundamental concepts. Each of the subsequent chapters—'Triangles,' 'Quadrilaterals,' 'Circles,' and 'Areas'—is further divided into three sections (A, B, and C). Section A contains simple problems and questions, section B progresses to intermediate difficulty, and section C presents more challenging problems. This tiered structure ensures that readers of all levels can find appropriate material. The final chapter likely consolidates learning through integrated problems or additional topics, though the focus remains on plane geometry. Every problem is designed to encourage critical thinking and a deeper appreciation of geometric principles.

Key Topics

• Problem-solving strategies and techniques in geometry
• Basic facts and warm-up exercises for revision
• Triangles: properties, congruence, similarity, and special lines
• Quadrilaterals: parallelograms, trapezoids, and cyclic quadrilaterals
• Circles: chords, tangents, arcs, and inscribed angles
• Areas: calculations, comparisons, and area-related constructions
• Geometric constructions using straightedge and compass
• Proof-based reasoning and logical deduction

Reader Benefits

• Stronger Foundation: Develop a rock-solid understanding of core geometric concepts.
• Enhanced Problem-Solving Skills: Learn to approach problems methodically, whether they require proof, calculation, or construction.
• Exam Readiness: Ideal for students preparing for board exams, Olympiads, or engineering entrance tests like JEE.
• Self-Paced Learning: The gradual difficulty progression allows independent study without external guidance.
• Improved Logical Thinking: Geometry trains the mind to reason step by step, a skill valuable beyond mathematics.
• Hands-On Experience: Construction problems offer a tactile way to understand geometric relationships.

Learning Outcomes

By the end of this book, readers will be able to confidently solve a wide range of plane geometry problems. They will master techniques for proving geometric theorems, performing accurate calculations involving lengths, angles, and areas, and creating precise constructions using only a straightedge and compass. The book cultivates a mindset of analytical thinking and perseverance. Students will not only recall formulas but also understand their derivations and applications. They will be equipped to tackle unfamiliar problems with creativity and logical rigor, making this an invaluable resource for lifelong mathematical growth.

Who Should Read

• High School Students (Classes 9–12): Especially those following CBSE, ICSE, or state board syllabi who want to excel in geometry.
• Competitive Exam Aspirants: Students preparing for JEE Main, JEE Advanced, KVPY, RMO, INMO, or other mathematics Olympiads.
• Teachers and Educators: Mathematics teachers looking for a rich source of problems and teaching strategies.
• Self-Learners: Anyone with a basic knowledge of geometry who wishes to deepen their understanding through practice.
• Math Enthusiasts: Adults or hobbyists who enjoy the elegance of geometric reasoning.

About the Author

Pritsker Boris is an experienced mathematics educator and author known for his ability to make complex mathematical concepts accessible through carefully designed problem sets. With a deep passion for geometry and problem-solving, he has dedicated his career to helping students develop logical reasoning and analytical skills. His works are widely appreciated for their clarity, depth, and practical approach. In Learning Geometry Through Problem Solving, he brings together years of teaching expertise to create a resource that is both challenging and rewarding for learners at every stage.

About the Publisher

World Scientific Publishing Company is a leading international academic publisher with a strong reputation for producing high-quality books in science, mathematics, and technology. Founded in 1981, the company has published works by Nobel laureates, Fields Medalists, and renowned educators from around the world. Their commitment to excellence ensures that every title, including this one, meets rigorous standards of content accuracy, pedagogical value, and production quality. Indian readers can trust World Scientific for reliable, authoritative, and well-crafted educational resources.

Conclusion

Learning Geometry Through Problem Solving is more than just a book—it is a mentor that guides you through the fascinating world of plane geometry. With its balanced mix of proofs, calculations, and constructions, and a carefully graded structure, it caters to learners of all levels. Whether you are a student aiming for top marks, a teacher enriching your classroom, or a lifelong learner seeking intellectual stimulation, this hardcover volume deserves a place on your shelf. Dive into its pages, tackle its problems, and watch your geometric intuition soar. Order your copy today from Bookshops.in and embark on a journey of discovery and mastery.