Selected Topics in Mathematical Analysis

This book presents four topics related to undergraduate courses, typically not covered in standard lectures.

Written in a clear and careful style, these four pearls aim at complementing and deepening the knowledge of students and instructors by presenting a variety of techniques and useful methods. The first chapter provides a detailed discussion of real numbers, the foundation of any mathematical construction. Chapter two of the book is dedicated to the study of sequences defined by recurrence relations. The third chapter explores certain problems in asymptotic analysis, and the final chapter of the book discusses mathematical results related to Integration in Finite Terms. Each chapter of the book is accompanied by its respective bibliography.

The book is intended for readers with a level of maturity typically attained after completing a bachelor's degree in mathematics.

Provides students and instructors with topics that are not generally covered in undergraduate programs Includes four chapters that can be read independently from each other Supports mature students and instructors willing to deepen their knowledge

Autorentext

Liviu C. Florescu is Professor Emeritus at University "Al.I.Cuza" Iasi, Romania. He has published "Lebesgue Integral" in the Birkhäuser series Compact Textbooks in Mathematics, and co-authored "Young Measures and Compactness in Measure Spaces" at Walter de Gruyter.

Inhalt

• Real Number System.- Recurrences.- Elements of Asymptotic Analysis.- Integration in Finite Terms.