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Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematical modelling
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Discovering Dynamical Systems Through Experiment and Inquiry (Hardcover)
Loot Price: R2,656
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Discovering Dynamical Systems Through Experiment and Inquiry (Hardcover)
Series: Textbooks in Mathematics
Expected to ship within 12 - 17 working days
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Discovering 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.
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