Analysis I (Record no. 1474)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02031nam a22002535i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-981-10-1789-6 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20210812160325.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 160829s2016 si | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9789811017896 |
| -- | 978-981-10-1789-6 |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1007/978-981-10-1789-6 |
| Source of number or code | doi |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Tao, Terence. |
| Relator term | author. |
| Relator code | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 245 10 - TITLE STATEMENT | |
| Title | Analysis I |
| Medium | [electronic resource] : |
| Remainder of title | Third Edition / |
| Statement of responsibility, etc | by Terence Tao. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. 2016. |
| 264 #1 - | |
| -- | Singapore : |
| -- | Springer Singapore : |
| -- | Imprint: Springer, |
| -- | 2016. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | XIX, 350 p. |
| Other physical details | online resource. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This is part one of a two-volume book on real analysis and is intended for senior undergraduate students of mathematics who have already been exposed to calculus. The emphasis is on rigour and foundations of analysis. Beginning with the construction of the number systems and set theory, the book discusses the basics of analysis (limits, series, continuity, differentiation, Riemann integration), through to power series, several variable calculus and Fourier analysis, and then finally the Lebesgue integral. These are almost entirely set in the concrete setting of the real line and Euclidean spaces, although there is some material on abstract metric and topological spaces. The book also has appendices on mathematical logic and the decimal system. The entire text (omitting some less central topics) can be taught in two quarters of 25-30 lectures each. The course material is deeply intertwined with the exercises, as it is intended that the student actively learn the material (and practice thinking and writing rigorously) by proving several of the key results in the theory. . |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematical analysis. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Analysis (Mathematics). |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Analysis. |
| -- | https://scigraph.springernature.com/ontologies/product-market-codes/M12007 |
| 710 2# - ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY | |
| Title | Springer Nature eBook |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://doi.org/10.1007/978-981-10-1789-6">https://doi.org/10.1007/978-981-10-1789-6</a> |
| Withdrawn status | Lost status | Damaged status | Not for loan | Home library | Current library | Date acquired | Total Checkouts | Date last seen | Price effective from | Koha item type | Public note |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Transit Campus | Transit Campus | 12/08/2021 | 12/08/2021 | 12/08/2021 | Ebook | Online Resources |