Selected Topics in Mathematical Analysis: Real Number System – Recurrences – Asymptotic Analysis – Integration...

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Liviu C. Florescu

Selected Topics in Mathematical Analysis

Real Number System – Recurrences – Asymptotic Analysis – Integration in Finite Terms

Liviu C. Florescu

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English

Birkhauser Verlag AG
08 November 2024

Algebra; Real analysis, real variables; Differential calculus & equations

Series: Birkhauser Advanced Texts / Basler Lehrbucher

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.

By: Liviu C. Florescu
Imprint: Birkhauser Verlag AG
Country of Publication: Switzerland
Edition: 2024 ed.
Dimensions: Height: 235mm, Width: 155mm,
ISBN: 9783031677830
ISBN 10: 3031677838
Series: Birkhauser Advanced Texts / Basler Lehrbucher
Pages: 217
Publication Date: 08 November 2024
Audience: College/higher education , A / AS level
Format: Hardback
Publisher's Status: Active

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

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.