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The subject of Finite Geometries is a central part of discrete mathematics. Structures from Finite Geometries have led to solutions of open problems in extremal combinatorics, design theory, and coding theory and cryptography. However, there are no recent textbooks in finite geometry that have a broad scope. This book discusses non-Desarguesian planes and explains the recent proof techniques using polynomials in case of Desarguesian planes. Some applications in extremal combinatorics are also mentioned.

Finite Geometries stands out from recent textbooks on the subject of finite geometries by having a broader scope. This textbook explains the recent proof techniques using polynomials in case of Desarguesian planes.