Volumetric Discrete Geometry

The volume of geometric objects is crucial in applied and theoretical mathematics, especially in discrete geometry, where it is used to find new research topics. Volumetric Discrete Geometry provides a survey of selected topics and proofs of theorems for advanced undergraduate and graduate students. It also includes open problems and research exercises to promote further study.

Format: Paperback / softback
Length: 306 pages
Publication date: 21 January 2023
Publisher: Taylor & Francis Ltd

The study of geometric objects holds immense significance in both applied and theoretical mathematics, particularly in the emerging field of discrete geometry. In this discipline, the volume of objects plays a central role, serving as a catalyst for discovering fresh research avenues.

Volumetric Discrete Geometry serves as a comprehensive resource that delves into the latest developments related to volume, presents challenging problems associated with it, and showcases effective methodologies for applying volume to other geometric problems. The text is structured into two parts. Part I comprises survey chapters covering various topics related to volume, making it suitable for advanced undergraduate students. Part II, on the other hand, consists of selected proof chapters that delve into the theorems discussed in Part I, catering to graduate-level students seeking to explore the cutting-edge research in this field. Each chapter in the book can be studied independently, allowing for a flexible learning approach.

In addition to its educational value, Volumetric Discrete Geometry offers valuable resources for researchers and students alike. It includes a comprehensive list of 30 open problems, designed to ignite curiosity and stimulate further research. Furthermore, the book features over 60 research exercises, providing hands-on opportunities for students to apply the concepts learned. Moreover, the text is ideally suited for researchers and students in combinatorics, geometry, and discrete mathematics, as it encompasses a wide range of topics and approaches.

By exploring the volume of geometric objects, Volumetric Discrete Geometry contributes to the advancement of mathematical knowledge and provides valuable insights into diverse fields. Whether you are a student seeking to expand your understanding of geometry or a researcher seeking to push the boundaries of knowledge, this book is an indispensable resource for your academic journey.

Weight: 570g
Dimension: 234 x 156 (mm)
ISBN-13: 9781032475646