Mathematics via Problems: Part 1: Algebra

This book is a translation from Russian of Part I of the book Mathematics Through Problems: From Olympiads and Math Circles to Profession. It aims to develop important parts of mathematics through problems, allowing high school students to discover and recreate elementary mathematics and edge into more intricate and abstract concepts. Problems are accompanied by hints and solutions, and the book is based on classes taught by the author at different institutions.

Format: Paperback / softback
Length: 196 pages
Publication date: 30 March 2021
Publisher: American Mathematical Society

This remarkable book is a meticulous translation from Russian, encompassing Part I of the captivating Mathematics Through Problems: From Olympiads and Math Circles to Profession. While the remaining two parts, Geometry and Combinatorics, are eagerly anticipated and will soon be released, the primary focus of this remarkable work lies in the development of essential mathematical concepts through engaging and challenging problems. The author's diligent efforts have resulted in a meticulously crafted collection of problem sequences, designed to ignite the passion of high school students, as well as some undergraduates, with a profound interest in mathematics. By carefully orchestrating these problem sequences, the author aims to bridge the gap between standard high school exercises and the intricate and abstract realms of mathematics, such as group theory, Galois theory, and many more.

To enhance the learning experience, this book includes comprehensive definitions and/or references for material that may not be commonly covered in the school curriculum. However, it is important to note that many topics within this book present a significant challenge when approached for the first time. To assist in overcoming these initial hurdles, the problems are meticulously arranged, providing a gradual and systematic introduction to each subject. Additionally, problems are often accompanied by helpful hints and/or complete solutions, aiding students in grasping the intricacies of the material.

The foundation of this book is rooted in the author's extensive teaching experience, which spans various institutions, including the Independent University of Moscow, various Moscow schools, and prestigious summer schools. This diverse teaching background has allowed the author to craft a book that is both accessible and relevant to a wide range of students and educators. Whether you are a high school student seeking to deepen your mathematical understanding or an undergraduate embarking on a journey into the world of advanced mathematics, this book serves as an invaluable resource.

Furthermore, this book is not just limited to students and educators. It is also a valuable tool for organizers of summer camps and math circles, who are dedicated to nurturing young minds and fostering a love for mathematics. By providing access to high-quality mathematical literature, this series of books aims to inspire and empower individuals to explore the wonders of mathematics and its applications in various fields.

In collaboration with the Mathematical Sciences Research Institute (MSRI) and the American Mathematical Society (AMS), this book is proudly published as part of the Mathematical Circles Library series. These organizations recognize the importance of promoting mathematics and its connections to other disciplines and everyday life. By publishing books in this series, they aim to serve as a valuable resource for young people, their parents, and teachers, as well as the mathematics profession, fostering a greater awareness and appreciation of the beauty and power of mathematics.

So, whether you are a student, educator, or simply someone with a passion for mathematics, this book is a must-read. It offers a unique and engaging approach to learning and understanding mathematics, paving the way.

Weight: 398g
Dimension: 255 x 180 x 17 (mm)
ISBN-13: 9781470448783