Umid Ismailov, “The Golden Book of Mathematics”
Many students studying in educational institutions with the hope of becoming a student turn to tutors. Some of them will not have the opportunity to receive additional advice and education. Taking this into account, this manual is presented to a wide range of students in order to make it possible to independently prepare for entrance exams in mathematics.
It is known from many years of experience that students find it difficult to solve complex problems individually. Taking this into account, the first chapter of the manual, “Simplifying expressions, finding the definition domain of a function, the domain of values, finding the largest and smallest value of expressions, and arithmetic and geometric progressions, contains more complex algebraic expressions, expressions with irrational functions, trigonometric and logarithmic All the problems in the chapter are solved by simplifying expressions, solving problems such as finding areas of detection of some more complex functions, areas of values, and finding the largest and smallest values of the function.
In this manual, easy and convenient ways to solve difficult and complex questions given in entrance exams to higher educational institutions are described with instructions and comments.