Algebra (selected topics) : Algebra between classical view and modern view

ISBN-13: 9786137338728 / Angielski / Miękka / 2018 / 248 str.

Mohamed Ismail Mohamed Hessein

Opis

The contents are divided into ten chapters. It deals with Mathematical Induction, Partial Fractions, Finite Series, Binomial Theorems, Matrices and their applications, Determinants in a brief manner, eigenvalues and eigenvectors, settles the digitalization problem for symmetric matrices, theory of equations, (specially Horner's Method), Bi-quadratic equations, Cubic Equations (Cardan's method), Quartic Equations, Ferrari's Solution and Reciprocal Equations, Linear programming, fundamentals of sets, the fundamentals of logic. We will discuss "deductive logic" or deductive reasoning. We will show how sets and logic are so interrelated that the techniques of one can be used to solve problems in the other. Through these techniques, we will discuss and solve many classical word problems and puzzles. In chapter 10, we show that the Boolean algebra of sets and logic can also be applied to a third system, namely, the electrical system called "switching theory".

O autorze

Name: Mohamed Ismail Mohamed HesseinPhD (name of University and date) Kiev University (Old USSR) 1972 - Faculty of Mathematics.MSc (name of University and date)Cairo University 1968 - Faculty of Science.BSc (name of University and date) Cairo University 1965 - Faculty of Science.