Introduction to analysis with complex numbers:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo
World Scientific
[2021]
|
| Schlagwörter: | |
| Links: | https://www.gbv.de/dms/bowker/toc/9789811227691.pdf https://zbmath.org/?q=an%3A1457.30001 |
| Abstract: | How we will do mathematics -- Concepts with which we will do mathematics -- Construction of the number systems -- Limits of functions -- Continuity -- Differentiation -- Integration -- Sequences -- Infinite series and power series -- Exponential and trigonometric functions "This is a self-contained book that covers the standard topics in introductory analysis and that in addition, constructs the natural, rational, real and complex numbers, also handles complex-valued functions, sequences, and series. The book teaches how to write proofs. Fundamental proof-writing logic is covered in Chapter 1 and is repeated and enhanced in two appendices. Many examples of proofs appear with words in a different font for what should be going on in the proof writer's head. The book contains many examples and exercises to solidify the understanding. The material is presented rigorously with proofs and with many worked-out examples. Exercises are varied, many involve proofs, and some provide additional learning materials"-- |
| Beschreibung: | Includes bibliographical references and index |
| Umfang: | xii, 442 Seiten Illustrationen, Diagramme |
| ISBN: | 9789811225857 9789811227691 |
Internformat
MARC
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| 100 | 1 | |a Swanson, Irena |e Verfasser |0 (DE-588)133148610 |4 aut | |
| 245 | 1 | 0 | |a Introduction to analysis with complex numbers |c Irena Swanson, Purdue University, USA |
| 264 | 1 | |a New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo |b World Scientific |c [2021] | |
| 300 | |a xii, 442 Seiten |b Illustrationen, Diagramme | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Includes bibliographical references and index | ||
| 520 | 3 | |a How we will do mathematics -- Concepts with which we will do mathematics -- Construction of the number systems -- Limits of functions -- Continuity -- Differentiation -- Integration -- Sequences -- Infinite series and power series -- Exponential and trigonometric functions | |
| 520 | 3 | |a "This is a self-contained book that covers the standard topics in introductory analysis and that in addition, constructs the natural, rational, real and complex numbers, also handles complex-valued functions, sequences, and series. The book teaches how to write proofs. Fundamental proof-writing logic is covered in Chapter 1 and is repeated and enhanced in two appendices. Many examples of proofs appear with words in a different font for what should be going on in the proof writer's head. The book contains many examples and exercises to solidify the understanding. The material is presented rigorously with proofs and with many worked-out examples. Exercises are varied, many involve proofs, and some provide additional learning materials"-- | |
| 650 | 0 | 7 | |a Analysis |0 (DE-588)4001865-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Funktionentheorie |0 (DE-588)4018935-1 |2 gnd |9 rswk-swf |
| 653 | 0 | |a Mathematical analysis | |
| 653 | 0 | |a Numbers, Complex | |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-033777286 | |
Datensatz im Suchindex
| DE-BY-TUM_call_number | 0102 MAT 260 2022 A 3089 |
|---|---|
| DE-BY-TUM_katkey | 2685010 |
| DE-BY-TUM_location | 01 |
| DE-BY-TUM_media_number | 040008585895 |
| _version_ | 1821934467410821120 |
| any_adam_object | |
| author | Swanson, Irena |
| author_GND | (DE-588)133148610 |
| author_facet | Swanson, Irena |
| author_role | aut |
| author_sort | Swanson, Irena |
| author_variant | i s is |
| building | Verbundindex |
| bvnumber | BV048398691 |
| classification_tum | MAT 260 |
| ctrlnum | (OCoLC)1344243203 (DE-599)KXP1747141070 |
| dewey-full | 515/.9 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.9 |
| dewey-search | 515/.9 |
| dewey-sort | 3515 19 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV048398691 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T19:43:51Z |
| institution | BVB |
| isbn | 9789811225857 9789811227691 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-033777286 |
| oclc_num | 1344243203 |
| open_access_boolean | 1 |
| owner | DE-91G DE-BY-TUM |
| owner_facet | DE-91G DE-BY-TUM |
| physical | xii, 442 Seiten Illustrationen, Diagramme |
| publishDate | 2021 |
| publishDateSearch | 2021 |
| publishDateSort | 2021 |
| publisher | World Scientific |
| record_format | marc |
| spellingShingle | Swanson, Irena Introduction to analysis with complex numbers Analysis (DE-588)4001865-9 gnd Funktionentheorie (DE-588)4018935-1 gnd |
| subject_GND | (DE-588)4001865-9 (DE-588)4018935-1 |
| title | Introduction to analysis with complex numbers |
| title_auth | Introduction to analysis with complex numbers |
| title_exact_search | Introduction to analysis with complex numbers |
| title_full | Introduction to analysis with complex numbers Irena Swanson, Purdue University, USA |
| title_fullStr | Introduction to analysis with complex numbers Irena Swanson, Purdue University, USA |
| title_full_unstemmed | Introduction to analysis with complex numbers Irena Swanson, Purdue University, USA |
| title_short | Introduction to analysis with complex numbers |
| title_sort | introduction to analysis with complex numbers |
| topic | Analysis (DE-588)4001865-9 gnd Funktionentheorie (DE-588)4018935-1 gnd |
| topic_facet | Analysis Funktionentheorie |
| url | https://www.gbv.de/dms/bowker/toc/9789811227691.pdf https://zbmath.org/?q=an%3A1457.30001 |
| work_keys_str_mv | AT swansonirena introductiontoanalysiswithcomplexnumbers |
Inhaltsverzeichnis
Paper/Kapitel scannen lassen
Paper/Kapitel scannen lassen
Teilbibliothek Mathematik & Informatik
| Signatur: |
0102 MAT 260 2022 A 3089
Lageplan |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |