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| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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251013b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
| International Standard Book Number |
9783031696619 |
| Terms of availability |
(hbk) |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
| Classification number |
515 |
| Item number |
POR |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
| Personal name |
Portnoy, Arturo |
| 245 ## - TITLE STATEMENT |
| Title |
Calculus to analysis : an introductory transition |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
| Name of publisher, distributor, etc |
Springer, |
| Date of publication, distribution, etc |
2025 |
| Place of publication, distribution, etc |
Cham : |
| 300 ## - PHYSICAL DESCRIPTION |
| Extent |
xiv, 119 p. ; |
| Other physical details |
ill., |
| Dimensions |
25 cm. |
| 365 ## - TRADE PRICE |
| Price amount |
39.99 |
| Price type code |
€ |
| Unit of pricing |
104.36 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
| Bibliography, etc |
Includes bibliographical references and index. |
| 520 ## - SUMMARY, ETC. |
| Summary, etc |
This book addresses the analysis of functions of a real variable and transitions from the standard calculus sequence to mathematical analysis. The author presents the limits and convergence of sequences of functions, illustrates the limitations of the Riemann integral, and discusses the need for a new integral: the Lebesgue integral. The fundamental concepts of the theory of calculus of one variable is presented in addition to limits, continuity, derivatives and its applications, and integrals and their applications. The tone and language of the book is kept as informal as possible along with the descriptions and examples to aid learning. The book is concise and presents single variable advanced calculus leading up to Fourier analysis. In addition, the book sets up sufficient background for a course in measure theory and Lebesgue integration. In addition, this book: Discusses mathematical analysis and provides the needed definitions, lemmas, and theorems Features a concise presentation and is driven by examples of key concepts Supplemented with online interactive activities of explorations and examples. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
| Topical term or geographic name as entry element |
Calculus |
|
| Topical term or geographic name as entry element |
Mathematics |
|
| Topical term or geographic name as entry element |
Continuous Function |
|
| Topical term or geographic name as entry element |
Sequences, Limits, Series |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
| Source of classification or shelving scheme |
|
| Item type |
Books |