1.

Record Nr.

UNINA9910906298103321

Autore

Florescu Liviu C

Titolo

Selected Topics in Mathematical Analysis : Real Number System – Recurrences – Asymptotic Analysis – Integration in Finite Terms / / by Liviu C. Florescu

Pubbl/distr/stampa

Cham : , : Springer Nature Switzerland : , : Imprint : Birkhäuser, , 2024

ISBN

9783031677847

9783031677830

Edizione

[1st ed. 2024.]

Descrizione fisica

1 online resource (226 pages)

Collana

Birkhäuser Advanced Texts Basler Lehrbücher, , 2296-4894

Disciplina

512.3

Soggetti

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

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

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

Sommario/riassunto

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.