**MSRI Mathematical Circles Library**

Volume: 25;
2021;
196 pp;
Softcover

MSC: Primary 00; 11; 12; 20; 26; 40; 97;

**Print ISBN: 978-1-4704-4878-3
Product Code: MCL/25**

List Price: $45.00

AMS Member Price: $36.00

MAA Member Price: $40.50

**Electronic ISBN: 978-1-4704-6288-8
Product Code: MCL/25.E**

List Price: $45.00

AMS Member Price: $36.00

MAA Member Price: $40.50

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#### Supplemental Materials

# Mathematics via Problems: Part 1: Algebra

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*Arkadiy Skopenkov*

A co-publication of the AMS and the Mathematical Sciences Research Institute

This book is a translation from Russian of
Part I of the book Mathematics Through Problems: From Olympiads and
Math Circles to Profession. The other two parts, Geometry and
Combinatorics, will be published soon.

The main goal of this book is to develop important parts of
mathematics through problems. The author tries to put together
sequences of problems that allow high school students (and some
undergraduates) with strong interest in mathematics to discover and
recreate much of elementary mathematics and start edging into the
sophisticated world of topics such as group theory, Galois theory, and
so on, thus building a bridge (by showing that there is no gap)
between standard high school exercises and more intricate and abstract
concepts in mathematics.

Definitions and/or references for material that is not standard in
the school curriculum are included. However, many topics in the book
are difficult when you start learning them from scratch. To help with
this, problems are carefully arranged to provide gradual introduction
into each subject. Problems are often accompanied by hints and/or
complete solutions

The book is based on classes taught by the author at different
times at the Independent University of Moscow, at a number of Moscow
schools and math circles, and at various summer schools. It can be
used by high school students and undergraduates, their teachers, and
organizers of summer camps and math circles.

In the interest of fostering a greater awareness and appreciation of
mathematics and its connections to other disciplines and everyday life, MSRI
and the AMS are publishing books in the Mathematical Circles Library series as
a service to young people, their parents and teachers, and the mathematics
profession.

Titles in this series are co-published with the Mathematical Sciences Research Institute (MSRI).

#### Readership

High school students and their mentors and teachers.