Invitation To Algebra: A Resource Compendium For Teachers, Advanced Undergraduate Students And Graduate Students In Mathematics

This book presents a compendium style account of a comprehensive mathematical journey from Arithmetic to Algebra. It contains material that is helpful to graduate and advanced undergraduate students in mathematics, university and college professors teaching mathematics, as well as some mathematics teachers teaching in the final year of high school. A successful teacher must know more than what a particular course curriculum asks for. A number of topics that are missing in present-day textbooks, and which may be attractive to students at the graduate or advanced undergraduate level in mathematics, for example, continued fractions, arithmetic progressions of higher order, complex numbers in plane geometry, differential schemes, path semigroups and path algebras, have been carefully presented. This reflects the aim of the book to attract students to mathematics.

Readership: Graduates, advanced undergraduates in mathematics and professors, teachers of mathematics.

Dr Vlastimil Dlab is Professor Emeritus and Distinguished Research Professor in the School of Mathematics and Statistics at Carleton University , Ottawa, Ontario, Canada since 1998. He is Professor Hospitus at both Charles University and Beijing Normal University. He received his C.Sc. and D.Sc. degrees from Charles University, Prague in 1959 and 1966 respectively. He was elected Fellow of the Royal Society of Canada in 1977. His expertise is mathematics and mathematics education. His research interests are mainly in algebra, particularly representation theory. He is a former Editor-in-Chief of the Canadian Journal of Mathematics.

Dr Kenneth S Williams is Professor Emeritus and Distinguished Research Professor in the School of Mathematics and Statistics at Carleton University, Ottawa, Ontario, Canada since 2002. He received his PhD from the University of Toronto in 1965 and his D.Sc. from the University of Birmingham, England in 1979. His research interests are in number theory and he is currently an editor for the International Journal of Number Theory. He received two Halmos-Ford awards from the Mathematical Association of America in 2016 and 2019 for outstanding expository articles in the American Mathematical Monthly.