Mathematical Methods in Biology

ISBN-10: 0470525878

ISBN-13: 9780470525876

Edition: 2009

List price: $107.00
30 day, 100% satisfaction guarantee

If an item you ordered from TextbookRush does not meet your expectations due to an error on our part, simply fill out a return request and then return it by mail within 30 days of ordering it for a full refund of item cost.

Learn more about our returns policy


The last several years has witnessed a revolution in the connections between mathematics and biology, and this book differs from most others on the topic in that it covers both deterministic and probabilistic models. The first chapter is a long introduction and review of ideas about biological modeling, calculus, differential equations, dimensionless variables, and descriptive statistics. The next three chapters examine standard discrete and continuous models using difference and differential equations, and matrix algebra (there is a long appendix in Chapter 3 on matrices). The final three chapters cover probability, statistics, and stochastic processes, including bootstrap methods and stochastic differential equations. The book focuses mostly in one area of the life sciences, namely, theoretical ecology. Ecology has become extremely quantitative, and the mathematical techniques used in ecology are applicable to most other areas in the life sciences. Ecology provides an especially accessible context for study by mathematics majors. Moreover, the authors chose ecology for the book's motivations and examples in light of their own interests and research in the area. Additional topical coverage includes an introduction to ecological modeling, population dynamics for single species, structure and interacting populations, interactions in continuous time, concepts of probability, statistical inference, and stochastic processes.
what's this?
Rush Rewards U
Members Receive:
You have reached 400 XP and carrot coins. That is the daily max!
Study Briefs

Limited time offer: Get the first one free! (?)

All the information you need in one place! Each Study Brief is a summary of one specific subject; facts, figures, and explanations to help you learn faster.

Add to cart
Study Briefs
Periodic Table Online content $4.95 $1.99
Add to cart
Study Briefs
Periodic Table Online content $4.95 $1.99
Add to cart
Study Briefs
SQL Online content $4.95 $1.99
Add to cart
Study Briefs
MS Excel® 2010 Online content $4.95 $1.99
Customers also bought

Book details

List price: $107.00
Copyright year: 2009
Publisher: John Wiley & Sons Canada, Limited
Publication date: 8/17/2009
Binding: Paperback
Pages: 436
Size: 6.00" wide x 9.25" long x 0.75" tall
Weight: 1.298
Language: English

Introduction to Ecological Modeling
Mathematical Models
Rates of Change
Taylor Polynomials
Foraging Theory
Balance Laws
Temperature in the Environment
Heat Transfer
Dynamic Temperatures
Development Rate
Dimensionless Variables
Descriptive Statistics
Regression and Curve Fitting
Reference Notes
Population Dynamics for Single Species
Laws of Population Dynamics
Continuous-Time Models
Qualitative Analysis of Population Models
Dynamics of Predation
Discrete-Time Models
Equilibria, Stability, and Chaos
Reference Notes
Structure and Interacting Populations
Structure: Juveniles and Adults
Structured Linear Models
Sensitivity and Elasticity
Nonlinear Interactions
Appendix: Matrices
Matrix Notation and Algebra
Linear Algebraic Equations
The Eigenvalue Problem
Reference Notes
Interactions in Continuous Time
Interacting Populations
Phase Plane Analysis
Linear Systems
Nonlinear Systems
Rosenzweig-MacArthur Model
Reference Notes
Concepts of Probability
Introductory Examples and Definitions
The Hardy-Weinberg Law
Continuous Random Variables
The Normal Distribution
General Random Variables
Predation with a Random Search
Central Limit Theorem
Discrete Random Variables
Joint Probability Distributions
Covariance and Correlation
Covariance Matrix
Reference Notes
Statistical Inference
Interval Analysis
Known Variance
The Gamma Distribution
The Sample Variance
The Mean with Unknown Variance
Estimating Proportions
The Chi-Squared Test
Hypothesis Testing
Bootstrap Methods
Nonparametric Bootstrapping
Parametric Bootstrapping
Permutation Methods
Reference Notes
Stochastic Processes
Randomizing Discrete Dynamics
Environmental and Demographic Stochasticity
Random Walk
Birth Processes
Linear Differential Equations
Simple Birth Process
Interevent Times and Simulation
Stochastic Differential Equations
The Wiener Process
Stochastic Differential Equations
SDEs from Markov Models
Solving SDEs
The It&ohat; Identity
Stochastic Integrals
Solving SDEs
The Fokker-Planck Equation
Reference Notes
A. Hints and Solutions to Exercises
Free shipping on orders over $35*

*A minimum purchase of $35 is required. Shipping is provided via FedEx SmartPost® and FedEx Express Saver®. Average delivery time is 1 – 5 business days, but is not guaranteed in that timeframe. Also allow 1 - 2 days for processing. Free shipping is eligible only in the continental United States and excludes Hawaii, Alaska and Puerto Rico. FedEx service marks used by permission."Marketplace" orders are not eligible for free or discounted shipping.

Learn more about the TextbookRush Marketplace.