Numerical Analysis:
Computational science is fundamentally changing how technological questions are addressed. The design of aircraft, automobiles, and even racing sailboats is now done by computational simulation. The mathematical foundation of this new approach is numerical analysis, which studies algorithms for comp...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, NJ
Princeton University Press
[2011]
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| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | Computational science is fundamentally changing how technological questions are addressed. The design of aircraft, automobiles, and even racing sailboats is now done by computational simulation. The mathematical foundation of this new approach is numerical analysis, which studies algorithms for computing expressions defined with real numbers. Emphasizing the theory behind the computation, this book provides a rigorous and self-contained introduction to numerical analysis and presents the advanced mathematics that underpin industrial software, including complete details that are missing from most textbooks. Using an inquiry-based learning approach, Numerical Analysis is written in a narrative style, provides historical background, and includes many of the proofs and technical details in exercises. Students will be able to go beyond an elementary understanding of numerical simulation and develop deep insights into the foundations of the subject. They will no longer have to accept the mathematical gaps that exist in current textbooks. For example, both necessary and sufficient conditions for convergence of basic iterative methods are covered, and proofs are given in full generality, not just based on special cases. The book is accessible to undergraduate mathematics majors as well as computational scientists wanting to learn the foundations of the subject. Presents the mathematical foundations of numerical analysis Explains the mathematical details behind simulation software Introduces many advanced concepts in modern analysis Self-contained and mathematically rigorous Contains problems and solutions in each chapter Excellent follow-up course to Principles of Mathematical Analysis by Rudin |
| Beschreibung: | Description based on online resource; title from PDF title page (publisher's Web site, viewed 26. Nov 2019) |
| Beschreibung: | 1 online resource (344 pages) 33 line illus. 11 tables |
| ISBN: | 9781400838967 |
| DOI: | 10.1515/9781400838967 |
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| 500 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 26. Nov 2019) | ||
| 520 | |a Computational science is fundamentally changing how technological questions are addressed. The design of aircraft, automobiles, and even racing sailboats is now done by computational simulation. The mathematical foundation of this new approach is numerical analysis, which studies algorithms for computing expressions defined with real numbers. Emphasizing the theory behind the computation, this book provides a rigorous and self-contained introduction to numerical analysis and presents the advanced mathematics that underpin industrial software, including complete details that are missing from most textbooks. Using an inquiry-based learning approach, Numerical Analysis is written in a narrative style, provides historical background, and includes many of the proofs and technical details in exercises. Students will be able to go beyond an elementary understanding of numerical simulation and develop deep insights into the foundations of the subject. They will no longer have to accept the mathematical gaps that exist in current textbooks. For example, both necessary and sufficient conditions for convergence of basic iterative methods are covered, and proofs are given in full generality, not just based on special cases. The book is accessible to undergraduate mathematics majors as well as computational scientists wanting to learn the foundations of the subject. Presents the mathematical foundations of numerical analysis Explains the mathematical details behind simulation software Introduces many advanced concepts in modern analysis Self-contained and mathematically rigorous Contains problems and solutions in each chapter Excellent follow-up course to Principles of Mathematical Analysis by Rudin | ||
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Datensatz im Suchindex
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| dewey-full | 518.22 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 518 - Numerical analysis |
| dewey-raw | 518.22 |
| dewey-search | 518.22 |
| dewey-sort | 3518.22 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1515/9781400838967 |
| format | Electronic eBook |
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| illustrated | Illustrated |
| indexdate | 2024-07-10T08:40:35Z |
| institution | BVB |
| isbn | 9781400838967 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-031663248 |
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| physical | 1 online resource (344 pages) 33 line illus. 11 tables |
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| publishDate | 2011 |
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| publisher | Princeton University Press |
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| spelling | Scott, L. Ridgway aut Numerical Analysis L. Ridgway Scott Princeton, NJ Princeton University Press [2011] © 2011 1 online resource (344 pages) 33 line illus. 11 tables txt rdacontent c rdamedia cr rdacarrier Description based on online resource; title from PDF title page (publisher's Web site, viewed 26. Nov 2019) Computational science is fundamentally changing how technological questions are addressed. The design of aircraft, automobiles, and even racing sailboats is now done by computational simulation. The mathematical foundation of this new approach is numerical analysis, which studies algorithms for computing expressions defined with real numbers. Emphasizing the theory behind the computation, this book provides a rigorous and self-contained introduction to numerical analysis and presents the advanced mathematics that underpin industrial software, including complete details that are missing from most textbooks. Using an inquiry-based learning approach, Numerical Analysis is written in a narrative style, provides historical background, and includes many of the proofs and technical details in exercises. Students will be able to go beyond an elementary understanding of numerical simulation and develop deep insights into the foundations of the subject. They will no longer have to accept the mathematical gaps that exist in current textbooks. For example, both necessary and sufficient conditions for convergence of basic iterative methods are covered, and proofs are given in full generality, not just based on special cases. The book is accessible to undergraduate mathematics majors as well as computational scientists wanting to learn the foundations of the subject. Presents the mathematical foundations of numerical analysis Explains the mathematical details behind simulation software Introduces many advanced concepts in modern analysis Self-contained and mathematically rigorous Contains problems and solutions in each chapter Excellent follow-up course to Principles of Mathematical Analysis by Rudin In English MATHEMATICS / Mathematical Analysis bisacsh Algorithms Linear systems Numerical analysis https://doi.org/10.1515/9781400838967 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Scott, L. Ridgway Numerical Analysis MATHEMATICS / Mathematical Analysis bisacsh Algorithms Linear systems Numerical analysis |
| title | Numerical Analysis |
| title_auth | Numerical Analysis |
| title_exact_search | Numerical Analysis |
| title_full | Numerical Analysis L. Ridgway Scott |
| title_fullStr | Numerical Analysis L. Ridgway Scott |
| title_full_unstemmed | Numerical Analysis L. Ridgway Scott |
| title_short | Numerical Analysis |
| title_sort | numerical analysis |
| topic | MATHEMATICS / Mathematical Analysis bisacsh Algorithms Linear systems Numerical analysis |
| topic_facet | MATHEMATICS / Mathematical Analysis Algorithms Linear systems Numerical analysis |
| url | https://doi.org/10.1515/9781400838967 |
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