Adequate texts that introduce the concepts of abstract algebra are plentiful. None, however, are more suited to those needing a mathematical background for careers in engineering, computer science, the physical sciences, industry, or finance than Algebra: A Computational Introduction. Along with a unique approach and presentation, the author demonstrates how software can be used as a problem-solving tool for algebra.
The theory of algebraic invariants has found insufficient attention in Russian mathematical literature. The book by Alekseev , written in 1899, is largely out of date, while individual chapters in certain textbooks on algebra (Sushkevich, Bocher, etc.) written later, give only the beginnings of the theory.
This book presents an innovative approach to reinforcing students math skills. The 27 engaging lessons are easy to implement, require little or no preparation, and take only 5 to 15 minutes to teach. Designed for use during transition times, the minilessons help students practice math concepts, skills, and processes by applying them in a variety of problem-solving contexts throughout the school day. Content areas explored include: number and operations; algebra; geometry; data analysis and probability; and measurement.
In this appealing and well-written text, Richard Bronson gives readers a substructure for a firm understanding of the abstract concepts of linear algebra and its applications. The author starts with the concrete and computational, and leads the reader to a choice of major applications (Markov chains, least-squares approximation, and solution of differential equations using Jordan normal form).
Multilinear algebra has important applications in many different areas of mathematics but is usually learned in a rather haphazard fashion. The aim of this book is to provide a readable and systematic account of multilinear algebra at a level suitable for graduate students. Professor Northcott gives a thorough treatment of topics such as tensor, exterior, Grassmann, Hopf and co-algebras and ends each chapter with a section entitled 'Comments and Exercises'.
