03315nam a22006015i 4500 978-3-031-67784-7 DE-He213 20251030113302.0 cr nn 008mamaa 241108s2024 sz | s |||| 0|eng d 9783031677847 978-3-031-67784-7 10.1007/978-3-031-67784-7 doi QA247-247.45 QA161.P59 PBF bicssc MAT002010 bisacsh PBF thema Florescu, Liviu C. author. aut http://id.loc.gov/vocabulary/relators/aut 87166 Selected Topics in Mathematical Analysis [electronic resource] : Real Number System – Recurrences – Asymptotic Analysis – Integration in Finite Terms / by Liviu C. Florescu. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2024. X, 217 p. 5 illus., 1 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Birkhäuser Advanced Texts Basler Lehrbücher, 2296-4894 - Real Number System -- Recurrences -- Elements of Asymptotic Analysis -- Integration in Finite Terms. 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. Algebraic fields. 70148 Polynomials. 64269 Difference equations. 67184 Functional equations. 67185 Functions of real variables. 83964 Approximation theory. 74825 Field Theory and Polynomials. 70153 Difference and Functional Equations. 67186 Real Functions. 83965 Approximations and Expansions. 74827 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031677830 Printed edition: 9783031677854 Printed edition: 9783031677861 Birkhäuser Advanced Texts Basler Lehrbücher, 2296-4894 80556 https://doi.org/10.1007/978-3-031-67784-7 ZDB-2-SMA ZDB-2-SXMS 64785 64785