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The Solution of Equations in Integers

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Book Details

  • Publisher: Dover

  • Author: A. O. Gelfond

  • Binding: Paperback

  • Pages: 80

  • ISBN: 9780486824598

  • Dimensions: 8.0 x 5.0 x 0.2 inches

  • Languages: English


About the Book

This concise work by A. O. Gelfond, an internationally renowned mathematician, offers an elementary yet insightful exploration of integral equations — a critical area of number theory. The book delves into the determination of integral solutions to algebraic equations with multiple unknowns, a problem that has long intrigued mathematicians from Pythagoras to modern-day thinkers like Fermat and Euler.

Gelfond's approach makes the complex topic accessible to a broad audience, including advanced high school students and undergraduates in mathematics, physics, and engineering. The book covers both the practical and theoretical aspects of equations in integers, showing their relevance not only to pure mathematics but also to real-world applications in physics and engineering.

The volume presents a basic theoretical framework while linking these equations to broader number theory problems. Its clarity and conciseness make it an excellent resource for those looking to understand one of the more challenging problems in mathematics.