Analytic Geometry of Space: A Comprehensive Guide to Three-Dimensional Geometry

Introduction

In this comprehensive and engaging book, Professor Edson Durão Judice presents a thorough exploration of analytic geometry of space, providing readers with a deep understanding of the geometry of three-dimensional space. With its clear and concise explanations, numerous illustrative examples, and challenging exercises, this book is an essential resource for students, researchers, and professionals in mathematics, physics, engineering, and other related fields.

Key Features:

• Comprehensive Coverage: The book covers a wide range of topics in analytic geometry of space, including vectors, lines, planes, surfaces, and transformations.

• Rigorous Treatment: Professor Judice presents the material with mathematical rigor and precision, ensuring a solid foundation in the subject.

• Numerous Examples: Each concept is illustrated with numerous worked-out examples, helping readers grasp the material and apply it to real-world problems.

• Challenging Exercises: The book includes a wealth of challenging exercises at the end of each chapter, allowing readers to test their understanding and deepen their knowledge.

• Applications in Various Fields: The book highlights the applications of analytic geometry of space in various fields, such as physics, engineering, computer graphics, and more.

Chapter Summaries:

Chapter 1: Vectors in Space

• Introduces the concept of vectors in three-dimensional space, including vector addition, subtraction, scalar multiplication, and the dot and cross products.

Chapter 2: Lines and Planes in Space

• Explores the equations of lines and planes in space, including parametric equations, vector equations, and the intersection of lines and planes.

Chapter 3: Surfaces in Space

• Delves into the study of surfaces in space, including quadric surfaces, such as spheres, ellipsoids, and hyperboloids, as well as surfaces of revolution and ruled surfaces.

Chapter 4: Transformations in Space

• Covers various transformations in space, including translations, rotations, reflections, and affine transformations, and their applications in geometry and computer graphics.

Chapter 5: Applications in Physics and Engineering

• Demonstrates the practical applications of analytic geometry of space in physics and engineering, such as in the analysis of forces, moments, and motion in three dimensions.

Why You Should Read This Book:

• Gain a comprehensive understanding of analytic geometry of space, a fundamental subject in mathematics and its applications.

• Develop strong problem-solving skills through numerous worked-out examples and challenging exercises.

• Explore the practical applications of analytic geometry of space in various fields, including physics, engineering, and computer graphics.

• Enhance your mathematical knowledge and analytical thinking skills, essential for success in various academic and professional pursuits.

Conclusion:

"Analytic Geometry of Space" by Professor Edson Durão Judice is an invaluable resource for anyone seeking to master the geometry of three-dimensional space. With its clear explanations, engaging examples, and comprehensive coverage, this book is a must-have for students, researchers, and professionals in mathematics, physics, engineering, and related fields. Get your copy today and embark on a journey into the fascinating world of analytic geometry of space!