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020 _a1000358933
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020 _a9781000358933
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020 _a9781000358957
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020 _a100035895X
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020 _a9781003024132
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020 _a1003024130
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020 _z9781000358940
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024 7 _a10.1201/9781003024132
_2doi
035 _a(OCoLC)1236034754
035 _a(OCoLC-P)1236034754
050 4 _aQA614.8
_b.L54 2021
072 7 _aMAT
_x003000
_2bisacsh
072 7 _aMAT
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_2bisacsh
072 7 _aMAT
_x000000
_2bisacsh
072 7 _aPBW
_2bicssc
082 0 4 _a515.39
_223
100 1 _aLoFaro, Thomas,
_eauthor.
245 1 0 _aDiscovering Dynamical Systems Through Experiment and Inquiry /
_cThomas LoFaro and Jeff Ford.
250 _aFirst edition.
264 1 _aBoca Raton, FL :
_bCRC Press,
_c2021.
264 4 _c©2021
300 _a1 online resource
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aTextbooks in mathematics
520 _aDiscovering Dynamical Systems Through Experiment and Inquiry differs from most texts on dynamical systems by blending the use of computer simulations with inquiry-based learning (IBL). IBL is an excellent tool to move students from merely remembering the material to deeper understanding and analysis. This method relies on asking students questions first, rather than presenting the material in a lecture. Another unique feature of this book is the use of computer simulations. Students can discover examples and counterexamples through manipulations built into the software. These tools have long been used in the study of dynamical systems to visualize chaotic behavior. We refer to this unique approach to teaching mathematics as ECAP--Explore, Conjecture, Apply, and Prove. ECAP was developed to mimic the actual practice of mathematics in an effort to provide students with a more holistic mathematical experience. In general, each section begins with exercises guiding students through explorations of the featured concept and concludes with exercises that help the students formally prove the results. While symbolic dynamics is a standard topic in an undergraduate dynamics text, we have tried to emphasize it in a way that is more detailed and inclusive than is typically the case. Finally, we have chosen to include multiple sections on important ideas from analysis and topology independent from their application to dynamics.
505 0 _aAn Introduction to Dynamical Systems -- Sequences -- Fixed Points and Periodic Points -- Analysis of Fixed Points -- Bifurcations -- Examples of Global Dynamics -- The Tools of Global Dynamics -- Examples of Chaos -- From Fixed Points to Chaos -- Sarkovskii's Theorem -- Dynamical Systems on the Plane -- The Smale Horseshoe -- Generalized Symbolic Dynamics.
588 _aOCLC-licensed vendor bibliographic record.
650 0 _aDifferentiable dynamical systems.
650 0 _aDynamics.
650 0 _aSystem theory.
650 7 _aMATHEMATICS / Applied
_2bisacsh
650 7 _aMATHEMATICS / Differential Equations
_2bisacsh
650 7 _aMATHEMATICS / General
_2bisacsh
700 1 _aFord, Jeff,
_eauthor.
856 4 0 _3Taylor & Francis
_uhttps://www.taylorfrancis.com/books/9781003024132
856 4 2 _3OCLC metadata license agreement
_uhttp://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf
999 _c126604
_d126604