Kvant Selecta Algebra And Analysis I

This volume and Kvant Selecta: Algebra and Analysis, II (MAWRLD/15) are the first volumes of articles published from 1970 to 1990 in the Russian journal, Kvant. The influence of this magazine on mathematics and physics education in Russia is unmatched. This collection represents the Russian tradition of expository mathematical writing at its best. Articles selected for these two volumes are written by leading Russian mathematicians and expositors. Some articles contain classical mathematical gems still used in university curriculae today. Others feature cutting-edge research from the 20th Century. The articles in these books are written so as to present genuine mathematics in a conceptual, entertaining, and accessible way. The volumes are designed to be used by students and teachers who love mathematics and want to study its various aspects, thus deepening and expanding the school curriculum. The articles in the first volume are mainly devoted to various topics in number theory, whereas the second volume treats diverse aspects of analysis and algebra.

This volume contains translated articles originally published from 1970 to 1990 in the Russian journal "Kvant." The influence of this magazine on mathematics and physics education in Russia is unmatched. This volume initiates a collection that represents the Russian tradition of expository mathematical writing at its best. Written by leading Russian mathematicians and expositors, these articles present mathematics in a conceptual, entertaining, and accessible way. This volume is designed for students and teachers who love mathematics, and can expand on local school curriculum subjects. This first volume addresses various topics in number theory.

This volume contains translated articles originally published from 1970 to 1990 in the Russian journal "Kvant." The influence of this magazine on mathematics and physics education in Russia is unmatched. This volume initiates a collection that represents the Russian tradition of expository mathematical writing at its best. Written by leading Russian mathematicians and expositors, these articles present mathematics in a conceptual, entertaining, and accessible way. This volume is designed for students and teachers who love mathematics, and can expand on local school curriculum subjects. This second volume addresses diverse aspects of analysis and algebra.

This volume is a collection of articles translated from Russian editions of the journal "Kvant"--T.p. verso.

Offers a basic introduction to the types of problems that illustrate the earliest forms of algebra. This book presents some significant steps in solving equations and, wherever applicable, to link these developments to the extension of the number system. It analyzes various examples of problems, with their typical solution methods.

This book is a concrete introduction to abstract algebra and number theory. Starting from the basics, it develops the rich parallels between the integers and polynomials, covering topics such as Unique Factorization, arithmetic over quadratic number fields, the RSA encryption scheme, and finite fields. In addition to introducing students to the rigorous foundations of mathematical proofs, the authors cover several specialized topics, giving proofs of the Fundamental Theorem of Algebra, the transcendentality of $e$, and Quadratic Reciprocity Law. The book is aimed at incoming undergraduate students with a strong passion for mathematics.