Chaos and Dynamical Systems / / David Feldman.
Chaos and Dynamical Systems presents an accessible, clear introduction to dynamical systems and chaos theory, an important and exciting area that has shaped many scientific fields. While the rules governing dynamical systems are well-specified and simple, the behavior of many dynamical systems is re...
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Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2019] ©2019 |
Year of Publication: | 2019 |
Language: | English |
Series: | Primers in Complex Systems ;
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Physical Description: | 1 online resource (264 p.) |
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Feldman, David, author. aut http://id.loc.gov/vocabulary/relators/aut Chaos and Dynamical Systems / David Feldman. Princeton, NJ : Princeton University Press, [2019] ©2019 1 online resource (264 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Primers in Complex Systems ; 14 Frontmatter -- CONTENTS -- Preface -- 1. Introducing Iterated Functions -- 2. Introducing Differential Equations -- 3. Interlude: Mathematical Models and the Newtonian Worldview -- 4. Chaos I:The Butterfly Effect -- 5. Chaos II: Deterministic Randomness -- 6. Bifurcations: Sudden Transitions -- 7. Universality in Chaos -- 8. Higher-Dimensional Systems and Phase Space -- 9. Strange Attractors -- 10. Conclusion -- Bibliography -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star Chaos and Dynamical Systems presents an accessible, clear introduction to dynamical systems and chaos theory, an important and exciting area that has shaped many scientific fields. While the rules governing dynamical systems are well-specified and simple, the behavior of many dynamical systems is remarkably complex. Of particular note, simple deterministic dynamical systems produce output that appears random and for which long-term prediction is impossible. Using little math beyond basic algebra, David Feldman gives readers a grounded, concrete, and concise overview. In initial chapters, Feldman introduces iterated functions and differential equations. He then surveys the key concepts and results to emerge from dynamical systems: chaos and the butterfly effect, deterministic randomness, bifurcations, universality, phase space, and strange attractors. Throughout, Feldman examines possible scientific implications of these phenomena for the study of complex systems, highlighting the relationships between simplicity and complexity, order and disorder. Filling the gap between popular accounts of dynamical systems and chaos and textbooks aimed at physicists and mathematicians, Chaos and Dynamical Systems will be highly useful not only to students at the undergraduate and advanced levels, but also to researchers in the natural, social, and biological sciences. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) MATHEMATICS / General. bisacsh Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019 English 9783110610765 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019 9783110664232 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2019 English 9783110610406 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2019 9783110606362 ZDB-23-DMA Title is part of eBook package: De Gruyter Princeton University Press Complete eBook-Package 2019 9783110663365 print 9780691161525 https://doi.org/10.1515/9780691189390?locatt=mode:legacy https://www.degruyter.com/isbn/9780691189390 Cover https://www.degruyter.com/cover/covers/9780691189390.jpg |
language |
English |
format |
eBook |
author |
Feldman, David, Feldman, David, |
spellingShingle |
Feldman, David, Feldman, David, Chaos and Dynamical Systems / Primers in Complex Systems ; Frontmatter -- CONTENTS -- Preface -- 1. Introducing Iterated Functions -- 2. Introducing Differential Equations -- 3. Interlude: Mathematical Models and the Newtonian Worldview -- 4. Chaos I:The Butterfly Effect -- 5. Chaos II: Deterministic Randomness -- 6. Bifurcations: Sudden Transitions -- 7. Universality in Chaos -- 8. Higher-Dimensional Systems and Phase Space -- 9. Strange Attractors -- 10. Conclusion -- Bibliography -- Index |
author_facet |
Feldman, David, Feldman, David, |
author_variant |
d f df d f df |
author_role |
VerfasserIn VerfasserIn |
author_sort |
Feldman, David, |
title |
Chaos and Dynamical Systems / |
title_full |
Chaos and Dynamical Systems / David Feldman. |
title_fullStr |
Chaos and Dynamical Systems / David Feldman. |
title_full_unstemmed |
Chaos and Dynamical Systems / David Feldman. |
title_auth |
Chaos and Dynamical Systems / |
title_alt |
Frontmatter -- CONTENTS -- Preface -- 1. Introducing Iterated Functions -- 2. Introducing Differential Equations -- 3. Interlude: Mathematical Models and the Newtonian Worldview -- 4. Chaos I:The Butterfly Effect -- 5. Chaos II: Deterministic Randomness -- 6. Bifurcations: Sudden Transitions -- 7. Universality in Chaos -- 8. Higher-Dimensional Systems and Phase Space -- 9. Strange Attractors -- 10. Conclusion -- Bibliography -- Index |
title_new |
Chaos and Dynamical Systems / |
title_sort |
chaos and dynamical systems / |
series |
Primers in Complex Systems ; |
series2 |
Primers in Complex Systems ; |
publisher |
Princeton University Press, |
publishDate |
2019 |
physical |
1 online resource (264 p.) Issued also in print. |
contents |
Frontmatter -- CONTENTS -- Preface -- 1. Introducing Iterated Functions -- 2. Introducing Differential Equations -- 3. Interlude: Mathematical Models and the Newtonian Worldview -- 4. Chaos I:The Butterfly Effect -- 5. Chaos II: Deterministic Randomness -- 6. Bifurcations: Sudden Transitions -- 7. Universality in Chaos -- 8. Higher-Dimensional Systems and Phase Space -- 9. Strange Attractors -- 10. Conclusion -- Bibliography -- Index |
isbn |
9780691189390 9783110610765 9783110664232 9783110610406 9783110606362 9783110663365 9780691161525 |
url |
https://doi.org/10.1515/9780691189390?locatt=mode:legacy https://www.degruyter.com/isbn/9780691189390 https://www.degruyter.com/cover/covers/9780691189390.jpg |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
514 - Topology |
dewey-full |
514.742 |
dewey-sort |
3514.742 |
dewey-raw |
514.742 |
dewey-search |
514.742 |
doi_str_mv |
10.1515/9780691189390?locatt=mode:legacy |
oclc_num |
1103440222 |
work_keys_str_mv |
AT feldmandavid chaosanddynamicalsystems |
status_str |
n |
ids_txt_mv |
(DE-B1597)528405 (OCoLC)1103440222 |
carrierType_str_mv |
cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019 English Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2019 English Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2019 Title is part of eBook package: De Gruyter Princeton University Press Complete eBook-Package 2019 |
is_hierarchy_title |
Chaos and Dynamical Systems / |
container_title |
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019 English |
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1770176300812599296 |
fullrecord |
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