Writing Proofs in Analysis (Record no. 426632)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03402nam a22004935i 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOKNUMBER | |
| International Standard Book Number | 9783319309675 |
| -- | 978-3-319-30967-5 |
| 024 7# - | |
| -- | 10.1007/978-3-319-30967-5 |
| -- | doi |
| 040 ## - | |
| -- | ISI Library, Kolkata |
| 050 #4 - | |
| -- | QA319-329.9 |
| 072 #7 - | |
| -- | PBKF |
| -- | bicssc |
| 072 #7 - | |
| -- | MAT037000 |
| -- | bisacsh |
| 072 #7 - | |
| -- | PBKF |
| -- | thema |
| 082 04 - DEWEYDECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515.7 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Kane, Jonathan M. |
| Relator code | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 245 10 - TITLE STATEMENT | |
| Title | Writing Proofs in Analysis |
| Medium | [electronic resource] / |
| Statement of responsibility, etc | by Jonathan M. Kane. |
| 942 ## - ADDED ENTRY ELEMENTS(KOHA) | |
| Koha item type | E-BOOKS |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| -- | author. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE STATEMENTS | |
| Place of production, publication, distribution, manufacture | Cham : |
| Name of producer, publisher, distributor, manufacturer | Springer International Publishing : |
| -- | Imprint: Springer, |
| Date of production, publication, distribution, manufacture | 2016. |
| 300 ## - | |
| -- | XX, 347 p. 79 illus., 4 illus. in color. |
| -- | online resource. |
| 336 ## - CONTENT TYPE | |
| Content Type Term | text |
| Content Type Code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media Type Term | computer |
| Media Type Code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier Type Term | online resource |
| Carrier Type Code | cr |
| Source | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 505 0# - | |
| -- | What Are Proofs, And Why Do We Write Them? -- The Basics of Proofs -- Limits -- Continuity -- Derivatives -- Riemann Integrals -- Infinite Series -- Sequences of Functions -- Topology of the Real Line -- Metric Spaces . |
| 520 ## - | |
| -- | This is a textbook on proof writing in the area of analysis, balancing a survey of the core concepts of mathematical proof with a tight, rigorous examination of the specific tools needed for an understanding of analysis. Instead of the standard "transition" approach to teaching proofs, wherein students are taught fundamentals of logic, given some common proof strategies such as mathematical induction, and presented with a series of well-written proofs to mimic, this textbook teaches what a student needs to be thinking about when trying to construct a proof. Covering the fundamentals of analysis sufficient for a typical beginning Real Analysis course, it never loses sight of the fact that its primary focus is about proof writing skills. This book aims to give the student precise training in the writing of proofs by explaining exactly what elements make up a correct proof, how one goes about constructing an acceptable proof, and, by learning to recognize a correct proof, how to avoid writing incorrect proofs. To this end, all proofs presented in this text are preceded by detailed explanations describing the thought process one goes through when constructing the proof. Over 150 example proofs, templates, and axioms are presented alongside full-color diagrams to elucidate the topics at hand. |
| 650 #0 - | |
| -- | Functional analysis. |
| 650 #0 - | |
| -- | Fourier analysis. |
| 650 #0 - | |
| -- | Logic, Symbolic and mathematical. |
| 650 14 - | |
| -- | Functional Analysis. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M12066 |
| 650 24 - | |
| -- | Fourier Analysis. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M12058 |
| 650 24 - | |
| -- | Mathematical Logic and Foundations. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M24005 |
| 710 2# - | |
| -- | SpringerLink (Online service) |
| 773 0# - | |
| -- | Springer eBooks |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9783319309651 |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9783319309668 |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9783319809311 |
| 856 40 - | |
| -- | https://doi.org/10.1007/978-3-319-30967-5 |
| 912 ## - | |
| -- | ZDB-2-SMA |
| 950 ## - | |
| -- | Mathematics and Statistics (Springer-11649) |
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