Real Number System – Recurrences – Asymptotic Analysis – Integration in Finite Terms Florescu, Liviu C. creator author. aut http://id.loc.gov/vocabulary/relators/aut SpringerLink (Online service) text sz 2024 1st ed. 2024. monographic eng

electronic

electronic resource

access X, 217 p. 5 illus., 1 illus. in color. online resource. 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. - Real Number System -- Recurrences -- Elements of Asymptotic Analysis -- Integration in Finite Terms. by Liviu C. Florescu. Algebraic fields Polynomials Difference equations Functional equations Functions of real variables Approximation theory Field Theory and Polynomials Difference and Functional Equations Real Functions Approximations and Expansions QA247-247.45 QA161.P59 9783031677847 https://doi.org/10.1007/978-3-031-67784-7 https://doi.org/10.1007/978-3-031-67784-7 241108 20251030113302.0 978-3-031-67784-7