This book is aimed at first-year high school students who want a methodical and comprehensive aid in Algebra. This course serves as a bridge between middle school and high school and contributes to the gradual acquisition of the most fundamental mathematical concepts.
With this book, the student will acquire step-by-step all the algebraic and mathematical skills that will provide a solid foundation for a smooth progression through all three years of high school, as well as for the development of critical and systematic rational thinking, regardless of the studies they wish to pursue. Another essential goal is to assist the student in their daily study, ensuring they meet the demands of school or exams with absolute success.
This book contains:
- The basic theory with comments or clarifications where deemed necessary.
- Methods and techniques for solving exercises where feasible.
- Many exemplary solved exercises of increasing difficulty, as well as demanding topics.
- Exercises for practice and suggested topics in each section.
- Exercises aimed at students with an aptitude for mathematics who wish to participate in math competitions.
- Intermediate review sections for recapitulation and connection of all previous material.
- Chapter tests, providing opportunities for further practice and synthesis of the taught material, as well as general tests at the end of the book.
- Review topics with all the theory and exercises for excellent organization of revision before the exam period.
- Answers and hints to all the suggested topics.
We believe that the quality, quantity, and arrangement of the topics, combined with the comments and necessary methodologies, will make this book a useful daily tool for knowledge and study for every student.
We would like to thank our colleague Fotini Kaldi for her observations, student Areti Desipri for helping check the results, and colleague Dimitris Tsakos for the discussions we had during the writing of the book.