Complex analysis with Mathematica:
Complex Analysis with Mathematica offers a way of learning and teaching a subject that lies at the heart of many areas of pure and applied mathematics, physics, engineering and even art. This book offers teachers and students an opportunity to learn about complex numbers in a state-of-the-art comput...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2006
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| Subjects: | |
| Online Access: | DE-12 DE-92 DE-706 Volltext |
| Summary: | Complex Analysis with Mathematica offers a way of learning and teaching a subject that lies at the heart of many areas of pure and applied mathematics, physics, engineering and even art. This book offers teachers and students an opportunity to learn about complex numbers in a state-of-the-art computational environment. The innovative approach also offers insights into many areas too often neglected in a student treatment, including complex chaos and mathematical art. Thus readers can also use the book for self-study and for enrichment. The use of Mathematica enables the author to cover several topics that are often absent from a traditional treatment. Students are also led, optionally, into cubic or quartic equations, investigations of symmetric chaos and advanced conformal mapping. A CD is included which contains a live version of the book: in particular all the Mathematica code enables the user to run computer experiments |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 online resource (xxv, 571 pages) |
| ISBN: | 9781316036549 |
| DOI: | 10.1017/CBO9781316036549 |
Staff View
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| 520 | |a Complex Analysis with Mathematica offers a way of learning and teaching a subject that lies at the heart of many areas of pure and applied mathematics, physics, engineering and even art. This book offers teachers and students an opportunity to learn about complex numbers in a state-of-the-art computational environment. The innovative approach also offers insights into many areas too often neglected in a student treatment, including complex chaos and mathematical art. Thus readers can also use the book for self-study and for enrichment. The use of Mathematica enables the author to cover several topics that are often absent from a traditional treatment. Students are also led, optionally, into cubic or quartic equations, investigations of symmetric chaos and advanced conformal mapping. A CD is included which contains a live version of the book: in particular all the Mathematica code enables the user to run computer experiments | ||
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Record in the Search Index
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| author | Shaw, William T. |
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| bvnumber | BV043944226 |
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| contents | Why you need complex numbers -- Complex algebra and geometry -- Cubics, quartics and visualization of complex roots -- Newton-Raphson iteration and complex fractals -- A complex view of the real logistic map -- The Mandelbrot set -- Symmetric chaos in the complex plane -- Complex functions -- Sequences, series and power series -- Complex differentiation -- Paths and complex integration -- Cauchy's theorem -- Cauchy's integral formula and its remarkable consequences -- Laurent series, zeroes, singularities and residues -- Residue calculus: integration, summation and the argument principle -- Conformal mapping I: simple mappings and Möbius transforms -- Fourier transforms -- Laplace transforms -- Elementary applications to two-dimensional physics -- Numerical transform techniques -- Conformal mapping II: The Schwarz-Christoffel mapping -- Tiling the Euclidean and hyperbolic planes -- Physics in three and four dimensions I -- Physics in three and four dimensions II. |
| ctrlnum | (ZDB-20-CBO)CR9781316036549 (OCoLC)967687171 (DE-599)BVBBV043944226 |
| dewey-full | 515.90285536 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.90285536 |
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| dewey-tens | 510 - Mathematics |
| discipline | Informatik Mathematik |
| doi_str_mv | 10.1017/CBO9781316036549 |
| format | Electronic eBook |
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| id | DE-604.BV043944226 |
| illustrated | Not Illustrated |
| indexdate | 2025-01-30T13:01:20Z |
| institution | BVB |
| isbn | 9781316036549 |
| language | English |
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| oclc_num | 967687171 |
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| owner_facet | DE-12 DE-92 DE-706 |
| physical | 1 online resource (xxv, 571 pages) |
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| publishDate | 2006 |
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| publisher | Cambridge University Press |
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| spelling | Shaw, William T. Verfasser (DE-588)1076930530 aut Complex analysis with Mathematica William T. Shaw Cambridge Cambridge University Press 2006 1 online resource (xxv, 571 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) Why you need complex numbers -- Complex algebra and geometry -- Cubics, quartics and visualization of complex roots -- Newton-Raphson iteration and complex fractals -- A complex view of the real logistic map -- The Mandelbrot set -- Symmetric chaos in the complex plane -- Complex functions -- Sequences, series and power series -- Complex differentiation -- Paths and complex integration -- Cauchy's theorem -- Cauchy's integral formula and its remarkable consequences -- Laurent series, zeroes, singularities and residues -- Residue calculus: integration, summation and the argument principle -- Conformal mapping I: simple mappings and Möbius transforms -- Fourier transforms -- Laplace transforms -- Elementary applications to two-dimensional physics -- Numerical transform techniques -- Conformal mapping II: The Schwarz-Christoffel mapping -- Tiling the Euclidean and hyperbolic planes -- Physics in three and four dimensions I -- Physics in three and four dimensions II. Complex Analysis with Mathematica offers a way of learning and teaching a subject that lies at the heart of many areas of pure and applied mathematics, physics, engineering and even art. This book offers teachers and students an opportunity to learn about complex numbers in a state-of-the-art computational environment. The innovative approach also offers insights into many areas too often neglected in a student treatment, including complex chaos and mathematical art. Thus readers can also use the book for self-study and for enrichment. The use of Mathematica enables the author to cover several topics that are often absent from a traditional treatment. Students are also led, optionally, into cubic or quartic equations, investigations of symmetric chaos and advanced conformal mapping. A CD is included which contains a live version of the book: in particular all the Mathematica code enables the user to run computer experiments Mathematica (Computer file) Functions of complex variables Mathematical analysis Mathematica Programm (DE-588)4268208-3 gnd rswk-swf Funktionentheorie (DE-588)4018935-1 gnd rswk-swf Funktionentheorie (DE-588)4018935-1 s Mathematica Programm (DE-588)4268208-3 s 1\p DE-604 Erscheint auch als Druckausgabe 978-0-521-83626-5 https://doi.org/10.1017/CBO9781316036549 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Shaw, William T. Complex analysis with Mathematica Why you need complex numbers -- Complex algebra and geometry -- Cubics, quartics and visualization of complex roots -- Newton-Raphson iteration and complex fractals -- A complex view of the real logistic map -- The Mandelbrot set -- Symmetric chaos in the complex plane -- Complex functions -- Sequences, series and power series -- Complex differentiation -- Paths and complex integration -- Cauchy's theorem -- Cauchy's integral formula and its remarkable consequences -- Laurent series, zeroes, singularities and residues -- Residue calculus: integration, summation and the argument principle -- Conformal mapping I: simple mappings and Möbius transforms -- Fourier transforms -- Laplace transforms -- Elementary applications to two-dimensional physics -- Numerical transform techniques -- Conformal mapping II: The Schwarz-Christoffel mapping -- Tiling the Euclidean and hyperbolic planes -- Physics in three and four dimensions I -- Physics in three and four dimensions II. Mathematica (Computer file) Functions of complex variables Mathematical analysis Mathematica Programm (DE-588)4268208-3 gnd Funktionentheorie (DE-588)4018935-1 gnd |
| subject_GND | (DE-588)4268208-3 (DE-588)4018935-1 |
| title | Complex analysis with Mathematica |
| title_auth | Complex analysis with Mathematica |
| title_exact_search | Complex analysis with Mathematica |
| title_full | Complex analysis with Mathematica William T. Shaw |
| title_fullStr | Complex analysis with Mathematica William T. Shaw |
| title_full_unstemmed | Complex analysis with Mathematica William T. Shaw |
| title_short | Complex analysis with Mathematica |
| title_sort | complex analysis with mathematica |
| topic | Mathematica (Computer file) Functions of complex variables Mathematical analysis Mathematica Programm (DE-588)4268208-3 gnd Funktionentheorie (DE-588)4018935-1 gnd |
| topic_facet | Mathematica (Computer file) Functions of complex variables Mathematical analysis Mathematica Programm Funktionentheorie |
| url | https://doi.org/10.1017/CBO9781316036549 |
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