Mathematical Methods in Biology / Edition 1

Paperback (Print)
Used and New from Other Sellers
Used and New from Other Sellers
from $54.62
Usually ships in 1-2 business days
(Save 43%)
Other sellers (Paperback)
  • All (7) from $54.62   
  • New (5) from $75.08   
  • Used (2) from $54.62   

Overview

A one-of-a-kind guide to using deterministic and probabilistic methods for solving problems in the biological sciences

Highlighting the growing relevance of quantitative techniques in scientific research, Mathematical Methods in Biology provides an accessible presentation of the broad range of important mathematical methods for solving problems in the biological sciences. The book reveals the growing connections between mathematics and biology through clear explanations and specific, interesting problems from areas such as population dynamics, foraging theory, and life history theory.

The authors begin with an introduction and review of mathematical tools that are employed in subsequent chapters, including biological modeling, calculus, differential equations, dimensionless variables, and descriptive statistics. The following chapters examine standard discrete and continuous models using matrix algebra as well as difference and differential equations. Finally, the book outlines probability, statistics, and stochastic methods as well as material on bootstrapping and stochastic differential equations, which is a unique approach that is not offered in other literature on the topic.

In order to demonstrate the application of mathematical methods to the biological sciences, the authors provide focused examples from the field of theoretical ecology, which serve as an accessible context for study while also demonstrating mathematical skills that are applicable to many other areas in the life sciences. The book's algorithms are illustrated using MATLAB®, but can also be replicated using other software packages, including R, Mathematica®, and Maple; however, the text does not require any single computer algebra package. Each chapter contains numerous exercises and problems that range in difficulty, from the basic to more challenging, to assist readers with building their problem-solving skills. Selected solutions are included at the back of the book, and a related Web site features supplemental material for further study.

Extensively class-tested to ensure an easy-to-follow format, Mathematical Methods in Biology is an excellent book for mathematics and biology courses at the upper-undergraduate and graduate levels. It also serves as a valuable reference for researchers and professionals working in the fields of biology, ecology, and biomathematics.

Read More Show Less

Editorial Reviews

From the Publisher
"Admirably, the volume is written with bits of MATLAB code inserted at appropriate places and has exercises interspersed throughout the text (as well as hints for solutions to the exercises at the end of the book)." The Quarterly Review of Biology, June 2010)

"The mathematical and reasoning sophistication increases as the chapters proceed." (Book News, December 2009)

Read More Show Less

Product Details

Meet the Author

J. David Logan, PhD, is Willa Cather Professor of Mathematics at the University of Nebraska–Lincoln. He has written more than eighty research articles in his areas of research interest, which include mathematical physics, combustion and detonation, hydrogeology, and mathematical biology. Dr. Logan is the author of Applied Mathematics, Third Edition and An Introduction to Nonlinear Partial Differential Equations, Second Edition, both published by Wiley. William R. Wolesensky, PhD, is Associate Professor in the Department of Mathematics at Doane College. Dr. Wolesensky has written numerous journal articles on the use of mathematical modeling techniques in scientific research.

Read More Show Less

Table of Contents

Preface.

1. Introduction To Ecological Modeling.

1.1 Mathematical Models.

1.2 Rates of Change.

1.3 Balance Laws.

1.4 Temperature in the Environment.

1.5 Dimensionless Variables.

1.6 Descriptive Statistics.

1.7 Regression and Curve Fitting.

1.8 Reference Notes.

2. Population Dynamics for Single Species.

2.1 Laws of Population Dynamics.

2.2 Continuous Time Models.

2.3 Qualitative Analysis of Population Models.

2.4 Dynamics of Predation.

2.5 Discrete Time Models.

2.6 Equilibria, Stability, and Chaos.

2.7 Reference Notes.

3. Structure and Interacting Populations.

3.1 Structure—Juveniles and Adults.

3.2 Structured Linear Models.

3.3 Nonlinear Interactions.

3.4 Appendix—Matrices.

3.5 Reference Notes.

4. Interactions in Continuous Time.

4.1 Interacting Populations.

4.2 Phase Plane Analysis.

4.3 Linear Systems.

4.4 Nonlinear Systems.

4.5 Bifurcation.

4.6 Reference Notes.

5. Concepts of Probability.

5.1 Introductory Examples and Definitions.

5.2 The Hardy-Weinberg Law.

5.3 Continuous Random Variables.

5.4 Discrete Random Variables.

5.5 Joint Probability Distributions.

5.6 Covariance and Correlation.

5.7 Reference Notes.

6. Statistical Inference.

6.1 Introduction.

6.2 Interval Analysis.

6.3 Estimating Proportions.

6.4 The Chi-Squared Test.

6.5 Hypothesis Testing.

6.6 Bootstrap Methods.

6.7 Reference Notes.

7. Stochastic Processes.

7.1 Introduction.

7.2 Randomizing Discrete Dynamics.

7.3 Random Walk.

7.4 Birth Processes.

7.5 Stochastic Differential Equations.

7.6 SDEs from Markov Models.

7.7 Solving SDEs.

7.8 The Fokker-Planck Equation.

7.9 Reference Notes.

A. Hints and Solutions to Exercises

Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star

(0)

4 Star

(0)

3 Star

(0)

2 Star

(0)

1 Star

(0)

Your Rating:

Your Name: Create a Pen Name or

Barnes & Noble.com Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & Noble.com that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & Noble.com does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at BN.com or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation

Reminder:

  • - By submitting a review, you grant to Barnes & Noble.com and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Noble.com Terms of Use.
  • - Barnes & Noble.com reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & Noble.com also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on BN.com. It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

 
Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)