Selected Topics in Mathematical Analysis: Real Number System – Recurrences – Asymptotic Analysis – Integration in Finite Terms (Birkhäuser Advanced Texts Basler Lehrbücher) - Softcover

Florescu, Liviu C.

Softcover

ISBN 10: 3031677862 ISBN 13: 9783031677861

Publisher: Birkhäuser, 2025

Synopsis

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.

About this title

About the Author

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.

From the Back Cover

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.

Edition details

• Publisher: Birkhäuser
• Publication date: 2025
• Language: English
• ISBN 10: 3031677862
• ISBN 13: 9783031677861
• Binding: Paperback
• Number of pages: 227