Description

About The Book 

This book is designed for giving mathematical background to future mathematics teachers and originally using as a lecture notes for courses provided for the department of education of Sultan Qaboos University. Educators, especially school teachers are always required to update their knowledge and to maintain their teaching skills for providing a quality of teaching. In mathematics classes, teachers are often required to expand the topic written in the textbook. To do this, understanding basic concepts of modern mathematics as well as the knowledge of historical background is necessary. For this purpose, these lecture notes provide three parts such as a brief history of mathematics, algebra, and geometry.
Part 1 describes a brief general history of mathematics which covers from the ancient civilizations to the establishment of calculus. These contents are based on several textbooks [1], [3], [4], [9] and [10].
Part 2 describes algebra including the following topics. Sets and Functions, Algebraic Structures, Construction of Numbers, Elementary Number Theory, Theory of Equations. Then we will see the Abel’ s impossible theorem. Permutations and combinations. Multibase arithmetic. Linear Transformations on the plane.
Part 3 deals with geometry including Plane Geometry, an introduction to Non-Euclidean Geometry, Transformations, Solids and Conic curves, and projective geometry. It is our hope this book will help educators gain insight into the history of mathematics and deepen their understanding algebra and geometry.

About The Author

Dr. Abdul Adheem Mohamad received his Ph.D. in Mathematics from the University of Auckland in 1999 under the supervision of Professor David Gauld & Dr Dave McIntyre, M.Sc in Mathematics and B.Sc. in Mathematics from the University of Baghdad. His research interests are Analysis, Algebra, Geometry, Topology and their Applications. He was granted NZ postdoctoral fellowship at University of Pittsburgh and University of Auckland 2001-2002. He has worked as a faculty member at University of Auckland, NZ and Sultan Qaboos University prior to his joining University of Nizwa. He was on research collaboration visits at Oxford University, University of South Carolina, University of Birmingham and University of Galway.
Dr. Tsukasa Yashiro was born in Japan. BSc. and MSc from Tokai University. He taught mathematics as a teacher in schools in Japan for four years. In 1994 he left Japan for New Zealand and later restarted mathematics under the supervision of Professor G. J. Martin at the University of Auckland. In 1999 he finished his PhD. He worked at Osaka City University from 2003 to 2005 as a JSPS postdoctoral fellow. From 2006 to 2018 he taught mathematics at Sultan Qaboos University. He now lives in Nagano Japan.
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.