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Modeling the Dynamics of Life : Calculus and Probability for Life Scientists

by: ADLER

Modeling the Dynamics of Life : Calculus and Probability for Life Scientists

by: ADLER

ISBN 13:
9780534348168
ISBN 10:
0534348165
Edition: 1st
Format: Paperback
Copyright: 01/22/1998
Publisher: Brooks Cole
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Summary

Designed to help life sciences students understand the role mathematics has played in breakthroughs in epidemiology, genetics, statistics, physiology, and other biological areas, this text provides students with a thorough grounding in mathematics, the language, and 'the technology of thought' with which these developments are created and controlled.

Introduction to Discrete-Time Dynamical Systems

(117)

Biology and dynamics

(4)

Updating Functions: Describing Growth

(8)

Units and Dimensions of Measurements and Functions

(8)

Linear Functions and Their Graphs

(10)

Finding Solutions: Describing the Dynamics

(7)

Combining and Manipulating Functions

(10)

Expressing Solutions with Exponential Functions

(10)

Power Functions and Allometry

(10)

Oscillations and Trigonometry

(9)

Modeling and Graphical Analysis of Updating Functions

(8)

Equilibria

(9)

An Example of Nonlinear Dynamics

(11)

Excitable Systems: The Heart

106

(12)

Limits and Derivatives

118

(94)

Introduction to Derivatives

119

(10)

Limits

129

(9)

Continuity

138

(10)

Computing Derivatives: Linear and Quadratic Functions

148

(8)

Derivatives of Sums, Powers, and Polynomials

156

(12)

Derivatives of Products and Quotients

168

(8)

The Second Derivative, Curvature, and Acceleration

176

(8)

Derivatives of Exponential and Logarithmic Functions

184

(6)

Derivatives of Trigonometric Functions

190

(9)

The Chain Rule

199

(13)

Applications of Derivatives and Dynamical Systems

212

(98)

Stability and the Derivative

213

(11)

More Complex Dynamics

224

(13)

Maximization

237

(11)

Reasoning About Functions

248

(9)

Limits at Infinity

257

(11)

Leading Behavior and L'Hopital's Rule

268

(12)

Approximating Functions with lines and Polynomials

280

(9)

Newton's Method

289

(10)

Panting and Deep Breathing

299

(11)

Differential Equations, Integrals, and Their Applications

310

(76)

Differential Equations

311

(11)

Basic Differential Equations

322

(8)

Solving Pure-Time Differential Equations

330

(10)

Integration of Special Functions and Integration by Substitution

340

(8)

Integrals and Sums

348

(8)

Definite and Indefinite Integrals

356

(10)

Applications of Integrals

366

(8)

Improper Integrals

374

(12)

Analysis of Differential Equations

386

(61)

Equilibria and Display of Autonomous Differential Equations

387

(8)

Stable and Unstable Equilibria

395

(7)

Solving Autonomous Differential Equations

402

(7)

Two-Dimensional Differential Equations

409

(8)

The Phase Plan

417

(8)

Solutions in the Phase Plane

425

(10)

The Dynamics of a Neuron

435

(12)

Probability Theory and Descriptive Statistics

447

(82)

Introduction to Probabilistic Models

448

(6)

Stochastic Models of Diffusion

454

(8)

Stochastic Models of Genetics

462

(6)

Probability Theory

468

(6)

Conditional Probability

474

(6)

Independence and Markov Chains

480

(6)

Displaying Probabilities

486

(11)

Random Variables

497

(9)

Descriptive Statistics

506

(9)

Descriptive Statistics for Spread

515

(14)

Probability Models

529

(89)

Joint Distributions

530

(8)

Covariance and Correlation

538

(9)

Sums and Products of Random Variables

547

(10)

The Binomial Distribution

557

(10)

Applications of the Binomial Distribution

567

(7)

Waiting Times: Geometric and Exponential Distributions

574

(10)

The Poisson Distribution

584

(8)

The Normal Distribution

592

(10)

Applying the Normal Approximation

602

(16)

Introduction to Statistical Reasoning

618

(67)

Statistics: Estimating Parameters

619

(8)

Confidence Limits

627

(9)

Estimating the Mean

636

(11)

Hypothesis Testing

647

(7)

Hypothesis Testing: Normal Theory

654

(9)

Comparing Experiments: Unpaired data

663

(8)

Regression

671

(14)

Answers

685

(92)

Index

777

Amazon no longer offers textbook rentals. We do!

Modeling the Dynamics of Life : Calculus and Probability for Life Scientists

Modeling the Dynamics of Life : Calculus and Probability for Life Scientists

9780534348168

0534348165

Summary

Table of Contents

Supplemental Materials

Write a Review

Amazon no longer offers textbook rentals. We do!

Modeling the Dynamics of Life : Calculus and Probability for Life Scientists

Modeling the Dynamics of Life : Calculus and Probability for Life Scientists

9780534348168

0534348165

Summary

Table of Contents

Supplemental Materials

Write a Review

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