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Knowledge in Elementary Algebra (E.A.) is the watershed between succeeding and failing in mathematics. This book bridges the gap between secondary school and university, enhancing undergraduate students’ ability to pass mathematical analysis courses. The content of the book treats E.A. in many aspects, exploring the topics of formulas, rewriting expressions (expansion, factorization, division into partial fractions etc), solving equations as well as inequalities, and logics in connection with equation solving. This material has been used to diagnose and improve the mathematical level of...

This book is a comprehensive collection of the main mathematical concepts, including definitions, theorems, tables, and formulas, that students of science and engineering will encounter in their studies and later careers. Handbook of Mathematical Concepts and Formulas introduces the latest mathematics in an easily accessible format. It familiarises readers with key mathematical and logical reasoning, providing clear routes to approach questions and problems. Concepts covered include whole calculus, linear and abstract algebra, as well as analysis, applied math, mathematical statistics, and...

In this book, comparisons are made between the practices of classrooms in a variety of different school systems around the world. The abiding challenge for classroom research is the realization of structure in diversity. The structure in this case takes the form of patterns of participation: regularities in the social practices of mathematics classrooms. The expansion of our field of view to include international rather than just local classrooms increases the diversity and heightens the challenge of the search for structure, while increasing the significance of any structures, once found. In...