Introduction to analysis with complex numbers:
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
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo
World Scientific
[2021]
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Rezension |
| Zusammenfassung: | 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 |
| Beschreibung: | xii, 442 Seiten Illustrationen, Diagramme |
| ISBN: | 9789811225857 9789811227691 |
Internformat
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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 |
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| 653 | 0 | |a Mathematical analysis | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-033777286 | ||
Datensatz im Suchindex
| _version_ | 1804184294860521472 |
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| adam_txt | |
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| any_adam_object_boolean | |
| 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 |
| discipline_str_mv | Mathematik |
| format | Book |
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| id | DE-604.BV048398691 |
| illustrated | Illustrated |
| index_date | 2024-07-03T20:22:29Z |
| indexdate | 2024-07-10T09:37:04Z |
| 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 |
| spelling | Swanson, Irena Verfasser (DE-588)133148610 aut Introduction to analysis with complex numbers Irena Swanson, Purdue University, USA New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo World Scientific [2021] xii, 442 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index 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"-- Analysis (DE-588)4001865-9 gnd rswk-swf Funktionentheorie (DE-588)4018935-1 gnd rswk-swf Mathematical analysis Numbers, Complex Analysis (DE-588)4001865-9 s Funktionentheorie (DE-588)4018935-1 s DE-604 Erscheint auch als Online-Ausgabe 978-981-122-586-4 Erscheint auch als Online-Ausgabe 978-981-122-587-1 https://www.gbv.de/dms/bowker/toc/9789811227691.pdf 2021-10-20 Aggregator Inhaltsverzeichnis https://zbmath.org/?q=an%3A1457.30001 zbMATH kostenfrei Rezension |
| 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_exact_search_txtP | 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 |