To provide additional background, this volume incorporates the concise text, The Method of Mathematical Induction. This approach introduces this technique of mathematical proof via many examples from algebra, geometry, and trigonometry, and in greater detail than standard texts. A background in high school algebra will largely suffice; later problems require some knowledge of trigonometry. The combination of solved problems within the text and those left for readers to work on, with solutions provided at the end, makes this volume especially practical for independent study.

Induction in Geometry
by Golovina, L. I.; Yaglom, I. M.-
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Summary
To provide additional background, this volume incorporates the concise text, The Method of Mathematical Induction. This approach introduces this technique of mathematical proof via many examples from algebra, geometry, and trigonometry, and in greater detail than standard texts. A background in high school algebra will largely suffice; later problems require some knowledge of trigonometry. The combination of solved problems within the text and those left for readers to work on, with solutions provided at the end, makes this volume especially practical for independent study.
Author Biography
L. I. Golovina was on the faculty of Moscow State University.
I. M. Yaglom (1921–88) was affiliated with Moscow State Pedagogical Institute. He wrote several popular books on mathematics, including these Dover publications: Challenging Mathematical Problems with Elementary Solutions (with A. M. Yaglom) in two volumes, and The U.S.S.R. Olympiad Problem Book (with D. O. Shklarsky and N. N. Chentzov).
I. S. Sominskii was on the faculty of the Novgorod Pedagogical Institute.
Table of Contents
The Method of Mathematical Induction:
1. The Method of Mathematical Induction
2. Examples and Exercises
3. Proofs of Some Theorems of Algebra
4. Solutions of Exercises in Chapter 2.
Induction in Geometry:
Introduction: What Is the Method of Mathematical Induction?
1. Computation by Induction
2. Proof by Induction.
3. Construction by Induction
4. The Determination of Geometric Loci by Induction
5. Definitions by Induction
6. Induction on the Number of Dimensions
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