TY - BOOK AU - Florescu,Liviu C. ED - SpringerLink (Online service) TI - Selected Topics in Mathematical Analysis: Real Number System – Recurrences – Asymptotic Analysis – Integration in Finite Terms T2 - Birkhäuser Advanced Texts Basler Lehrbücher, SN - 9783031677847 AV - QA247-247.45 PY - 2024/// CY - Cham PB - Springer Nature Switzerland, Imprint: Birkhäuser KW - Algebraic fields KW - Polynomials KW - Difference equations KW - Functional equations KW - Functions of real variables KW - Approximation theory KW - Field Theory and Polynomials KW - Difference and Functional Equations KW - Real Functions KW - Approximations and Expansions N1 - - Real Number System -- Recurrences -- Elements of Asymptotic Analysis -- Integration in Finite Terms N2 - 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 UR - https://doi.org/10.1007/978-3-031-67784-7 ER -