Vintage 1968 Soviet Book: Mathematical Analysis – I. P. Makarov | Tsar to Soviet Books

Classic 1968 Soviet Higher Math Textbook: "Supplementary Chapters of Mathematical Analysis"

For mathematicians, historians of exact sciences, and collectors of Soviet academic publications, this 1968 original Soviet hardcover volume is an advanced foundational guide to post-calculus analysis. Published in Moscow by Prosveshchenie (Издательство «Просвещение»), Supplementary Chapters of Mathematical Analysis (Дополнительные главы математического анализа) was written by mathematician I. P. Makarov for university physics and mathematics departments.

Bound in textured oatmeal cloth with red and black graphic diagrams of conformal mapping coordinate transformations, this 308-page text bridges classical calculus with abstract set theory and functional analysis.

Set Theory Foundations, Complex Variables & Functional Analysis Makarov's volume outlines key topics of late-1960s Soviet mathematical education:

• Modern Set Theory & Mappings: Rigorous treatments of set equivalences, geometric projection schematics, the Cantor–Bernstein theorem (теорема Кантора — Бернштейна), and powers of infinite sets.

• Real & Complex Functions: Deep analysis of real variables (rectifiable curves, functions of bounded variation, Riemann and Lebesgue integration) and complex variables (holomorphic functions, conformal mappings, Euler and Cauchy formulas).

• Introduction to Functional Analysis: Core principles of metric and normed spaces, continuous linear functionals, Volterra and Fredholm integral equations, and fixed-point theorems.

• Reference Apparatus: Features a comprehensive index of mathematical concepts, author references (Lebesgue, Cantor, Dirichlet, Green, Ostrogradsky), and standard mathematical notation tables.

Complete Bibliographic Specifications

• Title: Дополнительные главы математического анализа (Supplementary Chapters of Mathematical Analysis)

• Author: I. P. Makarov (И. П. Макаров)

• Publisher: "Prosveshchenie" Publishing House (Москва)

• Publication Date: 1968 (Moscow, USSR)

• Language: Russian

• Binding: Original publisher's diagram-stamped cloth hardcover

• Page Count: 308 pages with mathematical figures and symbol tables

• Classification: Soviet Mathematics / Higher Mathematical Analysis / Set Theory & Functional Analysis

Condition & Preservation Report

• Exterior Condition: Original textured cloth boards are clean, flat, and rigid with sharp two-color diagrammatic stamping and minimal shelf wear along the extremities.

• Binding Integrity: Exceptionally firm, square, and tight text block with intact hinges.

• Page Quality: Interior pages, formula sets, and geometric diagrams are clean and unmarked, exhibiting uniform light cream age-toning typical of late-1960s Soviet educational paper stocks. Title page bears a neat vintage owner signature in ink. Free from underlining, highlighting, or library stamps.

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