Elementary Topics in Geometry

About The Book

The primary objective of this textbook is to enable students to develop a thorough understanding and mastery of the fundamental principles of elementary geometry, forming a solid foundation for advanced study and professional applications in mathematics and related disciplines.

The text encompasses a comprehensive range of topics, including vector geometry, analytic geometry, conic sections, polar coordinates, space geometry, Euclidean geometry, and non-Euclidean geometry. Each chapter begins with clearly articulated intended learning outcomes and a focused conceptual overview to guide students through the core ideas and facilitate meaningful engagement with the subject matter.

Key definitions, precise theoretical discussions, and numerous illustrative examples are provided to support comprehension and promote the development of analytical and problem-solving skills.

Through the systematic study of this text, students will gain not only proficiency in geometric reasoning but also an appreciation of mathematics as a coherent, rigorous, and intellectually rewarding discipline.

About The Author

Dr. Abdul Adheem Mohamad received a Ph.D. in Mathematics from the University of Auckland in 1999, M.Sc in Mathematics from the University of Baghdad in 1992, B.Sc. in Mathematics from the University of Baghdad in 1988. His research interests are Analysis, Algebra, Geometry, Topology and their Applications. He is working as an Associate Professor in Department of Mathematics at University of Nizwa, Oman from 2011.

Dr. Dhananjay Yadav received his Ph.D. degree from Department of Mathematics, Indian Institute of Technology (IIT) Roorkee, India in 2013 and post-graduation (M.Sc.) in Mathematics from DDU University Gorakhpur, India in 2007. Currently, he is working as an Associate Professor in Department of Mathematics at University of Nizwa, Oman. Prior to his appointment to University of Nizwa, Oman, he had worked as Principal Research Scientist at Athabasca University, Canada, Yonsei University, South Korea and Jeju National University, South Korea. He is a leading expert in CO2 capture, storage and oil recovery, Computational sustainability and environmental analytics, Fluid mechanics, Numerical analysis, Hydrodynamic and Hydromagnetic stability, Nanofluids and Fluid flow in porous media. He has published more than 160 research articles (high impact factor) in various reputed international journals. He is also listed in the top 2% influential researchers in the World prepared by Stanford University based on Scopus data.

Dr. Gary Q. Dacanay received his Doctor in Mathematics Education degree at Saint Paul University Philippines in 2010. He also completed in the same university the degrees Master of Science in Teaching Mathematics in 2006, Bachelor of Science in Electronics and Communication Engineering in 2005, and Bachelor of Science in Mathematics degrees in1989. He received his Master of Science in Teaching Physics at Cagayan State University Tuguegarao City Philippines in 2006. His research interest includes Design and Construction of Instructional Materials in Mathematics and Physics.