This book is aimed at students who aspire to make a substantial, methodical, and comprehensive review of both the theory and the methodologies and exercises they dealt with during the year.

The structure of the book is similar to that of the Panhellenic Exams, as they have been established in recent years. For this reason:

In Topic A are included:
I. definitions with answers
II. statements of theorems with corresponding proofs
III. true-false type questions
IV. questions for completing incomplete sentences
V. true-false claims with justification

In Topic B, mostly exercises that require basic knowledge with small extensions are included.
In Topic C, exercises that require the application of known theorems of analysis are included.
In Topic D, exercises that have a combinatorial nature and aim to highlight and clarify the "subtle" and at the same time difficult points of the material are included.
In the last section of the book, there are the answers to all topics and evaluation criteria.

The innovation of this book lies in the fact that each exercise is accompanied by useful suggestions - methods, which aim to give the necessary initial push to the student's thinking in order to successfully deal with each exercise. In no case do they constitute a ready-made solution, but they provide the "stimulus" that is desirable for every candidate, in order to refresh their knowledge and manage to solve applications of graded difficulty.

(from the book's preface)