The Resource Mathematics for the Life Sciences : Calculus, Modeling, Probability, and Dynamical Systems, by Glenn Ledder, (electronic resource)

Mathematics for the Life Sciences : Calculus, Modeling, Probability, and Dynamical Systems, by Glenn Ledder, (electronic resource)

Label
Mathematics for the Life Sciences : Calculus, Modeling, Probability, and Dynamical Systems
Title
Mathematics for the Life Sciences
Title remainder
Calculus, Modeling, Probability, and Dynamical Systems
Statement of responsibility
by Glenn Ledder
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
Mathematics for the Life Sciences provides present and future biologists with the mathematical concepts and tools needed to understand and use mathematical models and read advanced mathematical biology books. It presents mathematics in biological contexts, focusing on the central mathematical ideas, and providing detailed explanations. The author assumes no mathematics background beyond algebra and precalculus. Calculus is presented as a one-chapter primer that is suitable for readers who have not studied the subject before, as well as readers who have taken a calculus course and need a review. This primer is followed by a novel chapter on mathematical modeling that begins with discussions of biological data and the basic principles of modeling. The remainder of the chapter introduces the reader to topics in mechanistic modeling (deriving models from biological assumptions) and empirical modeling (using data to parameterize and select models). The modeling chapter contains a thorough treatment of key ideas and techniques that are often neglected in mathematics books. It also provides the reader with a sophisticated viewpoint and the essential background needed to make full use of the remainder of the book, which includes two chapters on probability and its applications to inferential statistics and three chapters on discrete and continuous dynamical systems. The biological content of the book is self-contained and includes many basic biology topics such as the genetic code, Mendelian genetics, population dynamics, predator-prey relationships, epidemiology, and immunology. The large number of problem sets include some drill problems along with a large number of case studies. The latter are divided into step-by-step problems and sorted into the appropriate section, allowing readers to gradually develop complete investigations from understanding the biological assumptions to a complete analysis
Member of
http://library.link/vocab/creatorName
Ledder, Glenn
Image bit depth
0
LC call number
  • QH323.5
  • QH324.2-324.25
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
Series statement
Springer Undergraduate Texts in Mathematics and Technology,
http://library.link/vocab/subjectName
  • Mathematics
  • Life sciences
  • Differentiable dynamical systems
  • Mathematics
  • Mathematical and Computational Biology
  • Life Sciences, general
  • Dynamical Systems and Ergodic Theory
Label
Mathematics for the Life Sciences : Calculus, Modeling, Probability, and Dynamical Systems, by Glenn Ledder, (electronic resource)
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
A Brief Summary of Calculus -- Mathematical Modeling -- Probability Distributions -- Working with Probability -- Dynamics of Single Populations -- Discrete Dynamical Systems -- Continuous Dynamical Systems. - Index
Dimensions
unknown
Extent
XX, 431 p. 109 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9781461472766
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-1-4614-7276-6
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-1-4614-7276-6
Label
Mathematics for the Life Sciences : Calculus, Modeling, Probability, and Dynamical Systems, by Glenn Ledder, (electronic resource)
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
A Brief Summary of Calculus -- Mathematical Modeling -- Probability Distributions -- Working with Probability -- Dynamics of Single Populations -- Discrete Dynamical Systems -- Continuous Dynamical Systems. - Index
Dimensions
unknown
Extent
XX, 431 p. 109 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9781461472766
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-1-4614-7276-6
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-1-4614-7276-6

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