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Foundations for Undergraduate Research in Mathematics

An Introduction to Undergraduate Research in Computational and Mathematical Biology

From Birdsongs to Viscosities

Editors: Callender Highlander, Hannah, Capaldi, Alex, Diaz Eaton, Carrie (Eds.)

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  • Simplifies the process of identifying suitable, open research problems in mathematical and computational biology for undergraduate students and their advisers
  • Comprised of self-contained chapters that provide recommendations for undergraduate-accessible research problems, as well as the necessary mathematical fundamentals for undertaking these problems
  • Provides lists of prerequisite courses for each suggested research topic
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eBook 46,00 €
price for Spain (gross)
  • ISBN 978-3-030-33645-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 57,19 €
price for Spain (gross)
  • ISBN 978-3-030-33644-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this Textbook

Speaking directly to the growing importance of research experience in undergraduate mathematics programs, this volume offers suggestions for undergraduate-appropriate research projects in mathematical and computational biology for students and their faculty mentors. The aim of each chapter is twofold: for faculty, to alleviate the challenges of identifying accessible topics and advising students through the research process; for students, to provide sufficient background, additional references, and context to excite students in these areas and to enable them to successfully undertake these problems in their research.

Some of the topics discussed include: 

• Oscillatory behaviors present in real-world applications, from seasonal outbreaks of childhood diseases to action potentials in neurons

• Simulating bacterial growth, competition, and resistance with agent-based models and laboratory experiments

• Network structure and the dynamics of biological systems

• Using neural networks to identify bird species from birdsong samples

• Modeling fluid flow induced by the motion of pulmonary cilia

Aimed at undergraduate mathematics faculty and advanced undergraduate students, this unique guide will be a valuable resource for generating fruitful research collaborations between students and faculty.


About the authors

Hannah Callender Highlander is an Associate Professor of Mathematics at the University of Portland in Portland, Oregon.
Alex Capaldi is an Associate Professor of Mathematics and Statistics at Valparaiso University in Valparaiso, Indiana. 
Carrie Diaz Eaton is an Associate Professor of Digital and Computational Studies at Bates College in Lewiston, Maine.

Table of contents (10 chapters)

Table of contents (10 chapters)
  • Building New Models: Rethinking and Revising ODE Model Assumptions

    Pages 1-86

    Hurtado, Paul J.

  • A Tour of the Basic Reproductive Number and the Next Generation of Researchers

    Pages 87-124

    Castillo-Garsow, Carlos W. (et al.)

  • The Effect of External Perturbations on Ecological Oscillators

    Pages 125-154

    Goldwyn, Eli E.

  • Exploring Modeling by Programming: Insights from Numerical Experimentation

    Pages 155-215

    Bannish, Brittany E. (et al.)

  • Simulating Bacterial Growth, Competition, and Resistance with Agent-Based Models and Laboratory Experiments

    Pages 217-271

    Yust, Anne E. (et al.)

Buy this book

eBook 46,00 €
price for Spain (gross)
  • ISBN 978-3-030-33645-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 57,19 €
price for Spain (gross)
  • ISBN 978-3-030-33644-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
An Introduction to Undergraduate Research in Computational and Mathematical Biology
Book Subtitle
From Birdsongs to Viscosities
Editors
  • Hannah Callender Highlander
  • Alex Capaldi
  • Carrie Diaz Eaton
Series Title
Foundations for Undergraduate Research in Mathematics
Copyright
2020
Publisher
Birkhäuser Basel
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-33645-5
DOI
10.1007/978-3-030-33645-5
Hardcover ISBN
978-3-030-33644-8
Series ISSN
2520-1212
Edition Number
1
Number of Pages
XII, 469
Number of Illustrations
50 b/w illustrations, 57 illustrations in colour
Topics