1.

Record Nr.

UNISA996199540003316

Titolo

Computer artist

Pubbl/distr/stampa

Westford, MA, : PennWell Pub. Co., ©1992-

Descrizione fisica

1 online resource

Disciplina

702/.85

Soggetti

Computer art

Art par ordinateur

Periodicals.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Periodico

Note generali

Title from cover.

2.

Record Nr.

UNINA9910254067603321

Autore

Geveci Tunc

Titolo

Advanced Calculus of a Single Variable / / by Tunc Geveci

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016

ISBN

3-319-27807-X

Edizione

[1st ed. 2016.]

Descrizione fisica

1 online resource (XII, 382 p. 88 illus., 77 illus. in color.)

Disciplina

515

Soggetti

Integral transforms

Calculus, Operational

Functional analysis

Integral Transforms, Operational Calculus

Functional Analysis

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph



Nota di contenuto

Preface -- Real Numbers, Sequences and Limits -- Limits and Continuity of Functions -- The Derivative -- The Riemann Integral -- Infinite Series -- Sequences and Series of Functions. Index. .

Sommario/riassunto

This advanced undergraduate textbook is based on a one-semester course on single variable calculus that the author has been teaching at San Diego State University for many years. The aim of this classroom-tested book is to deliver a rigorous discussion of the concepts and theorems that are dealt with informally in the first two semesters of a beginning calculus course. As such, students are expected to gain a deeper understanding of the fundamental concepts of calculus, such as limits (with an emphasis on ε-δ definitions), continuity (including an appreciation of the difference between mere pointwise and uniform continuity), the derivative (with rigorous proofs of various versions of L’Hôpital’s rule) and the Riemann integral (discussing improper integrals in-depth, including the comparison and Dirichlet tests). Success in this course is expected to prepare students for more advanced courses in real and complex analysis and this book will help to accomplish this. The first semester of advanced calculus can be followed by a rigorous course in multivariable calculus and an introductory real analysis course that treats the Lebesgue integral and metric spaces, with special emphasis on Banach and Hilbert spaces.