Selected Topics in Mathematical Analysis

Real Number System - Recurrences - Asymptotic Analysis - Integration in Finite Terms
2024
ISBN: 978-3-031-67783-0
Verlag: Springer Nature Switzerland

Buch, Englisch, 217 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 510 g

Reihe: Birkhäuser Advanced Texts Basler Lehrbücher

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.

Zielgruppe

Graduate

Autoren/Hrsg.

Florescu, Liviu C.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Reelle Analysis
• Mathematik | Informatik Mathematik Algebra
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Inhaltsverzeichnis

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

Über Autor(innen)

Liviu C. Florescu is Professor Emeritus at University "Al.I.Cuza" Iasi, Romania. He has published “” in the Birkhäuser series Compact Textbooks in Mathematics, and co-authored "" at Walter de Gruyter.