Some Theory on Local Extrema of Multivariable Functions

The book "Some Theory on Local Extrema of Multivariable Functions" presents theorems and proofs related to local extrema of multivariable functions. It includes the necessary theory and notation for studying real functions of several variables, covering fundamental results on the continuity and differentiability of multivariable functions. The book is intended as an auxiliary text on the subject, featuring a chapter with problems and their solutions.