Coverart for item
The Resource Mathematics as a Laboratory Tool : Dynamics, Delays and Noise, by John Milton, Toru Ohira, (electronic resource)

Mathematics as a Laboratory Tool : Dynamics, Delays and Noise, by John Milton, Toru Ohira, (electronic resource)

Label
Mathematics as a Laboratory Tool : Dynamics, Delays and Noise
Title
Mathematics as a Laboratory Tool
Title remainder
Dynamics, Delays and Noise
Statement of responsibility
by John Milton, Toru Ohira
Creator
Contributor
Author
Subject
Language
eng
Summary
The importance of mathematics in the undergraduate biology curriculum is ever increasing, as is the importance of biology within the undergraduate applied mathematics curriculum. This ambitious forward thinking book strives to make concrete connections between the two fields at the undergraduate level, bringing in a wide variety of mathematical methods such as signal processing, systems identification, and stochastic differential equations to an undergraduate audience interested in biological dynamics. The presentation stresses a practical hands-on approach: important concepts are introduced using linear first- or second-order differential equations that can be solved using zpencil and papery; next, these are extended to zreal worldy applications through the use of computer algorithms written in Scientific Python or similar software. This book developed from a course taught by Professor John Milton at the University of Chicago and developed and continued over many years with Professor Toru Ohira at the Claremont Colleges. The tone of the book is pedagogical, engaging, accessible, with lots of examples and exercises. The authors attempt to tread a line between accessibility of the text and mathematical exposition. Online laboratories are provided as a teaching aid. At the beginning of each chapter a number of questions are posed to the reader, and then answered at the conclusion of the chapter. Milton and Ohira's book is aimed at an undergraduate audience, makes close ties to the laboratory, and includes a range of biological applications, favoring physiology. This makes it a unique contribution to the literature. This book will be of interest to quantitatively inclined undergraduate biologists, biophysicists and bioengineers and in addition through its focus on techniques actually used by biologists, the authors hope this text will help shape curricula in biomathematics education going forward. Review: "Based on the authors' experience teaching biology students, this book introduces a wide range of mathematical techniques in a lively and engaging style. Examples drawn from the authors' experimental and neurological studies provide a rich source of material for computer laboratories that solidify the concepts. The book will be an invaluable resource for biology students and scientists interested in practical applications of mathematics to analyze mechanisms of complex biological rhythms." (Leon Glass, McGill University, 2013)
Member of
http://library.link/vocab/creatorName
Milton, John
Image bit depth
0
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Ohira, Toru.
  • SpringerLink (Online service)
http://library.link/vocab/subjectName
  • Mathematics
  • Neurology
  • Cell physiology
  • Biomathematics
Label
Mathematics as a Laboratory Tool : Dynamics, Delays and Noise, by John Milton, Toru Ohira, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-1-4614-9096-8
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Contents
Science and the mathematics of black boxes -- The mathematics of change -- Equilibria and steady states -- Stability -- Fixed-points: Creation and destruction -- Transient dynamics -- Frequency domain I: Bode plots and transfer functions -- Frequency domain II: Fourier analysis and power spectra -- Feedback and control systems -- Oscillations -- Beyond limit cycles -- Random perturbations -- Noisy dynamical systems -- Random walkers -- Thermodynamic perspectives
Control code
978-1-4614-9096-8
Dimensions
unknown
Extent
XXV, 500 p. 162 illus., 4 illus. in color.
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9781461490968
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-1-4614-9096-8
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1086422424
Label
Mathematics as a Laboratory Tool : Dynamics, Delays and Noise, by John Milton, Toru Ohira, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-1-4614-9096-8
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Contents
Science and the mathematics of black boxes -- The mathematics of change -- Equilibria and steady states -- Stability -- Fixed-points: Creation and destruction -- Transient dynamics -- Frequency domain I: Bode plots and transfer functions -- Frequency domain II: Fourier analysis and power spectra -- Feedback and control systems -- Oscillations -- Beyond limit cycles -- Random perturbations -- Noisy dynamical systems -- Random walkers -- Thermodynamic perspectives
Control code
978-1-4614-9096-8
Dimensions
unknown
Extent
XXV, 500 p. 162 illus., 4 illus. in color.
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9781461490968
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-1-4614-9096-8
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1086422424

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