This book develops the mathematical tools essential for students in the life sciences to describe interacting systems and predict their behavior. From predator-prey populations in an ecosystem, to hormone regulation within the body, the natural world abounds in dynamical systems that affect us profoundly. Complex feedback relations and counter-intuitive responses are common in nature; this book develops the quantitative skills needed to explore these interactions.

Differential equations are t...

A precursor to Russell’s famous Principa Mathematica, this is one of the most original and comprehensive treatises on the logical foundation of mathematics available today.

Acutely aware of the need for rigor, the student is much better prepared to understand what constitutes a proper mathematical proof and how to write one.Fifteen years of classroom experience with the first edition of Understanding Analysis have solidified and refined the central narrative of the second edition.

Chapter 3, on in nite combinatorics and graphs, may also be studied independently, although many readers will want to investigate trees, matchings, and Ramsey theory for nite sets before exploring these topics for in nite sets in the third chapter.

Currently, reproduction numbers of pandemic models (SIR, SEIR, Lotka-Euler and others), basic or not, and their constituent parameters like transmission rate or duration of infectiousness, mainly are estimated as one average value for either a moving period in time [0,t], or for the whole duration [0,T] of the pandemic. This book statistically investigates these parameters, and thereby the reproduction number as timedependent: hence the name 'Timelocal Reproduction Number'.

For instance, th...

This book covers the theoretical aspects of mathematical groundwater models. It is aimed at advanced (under)graduate university students, as well as practicing hydrogeologists. The focus is on the fundamentals of the quantitative methods used to simulate, understand, and investigate groundwater systems.

The most useful tool for reviewing mathematical methods for business and economics classes-now with more content

Schaum's Outline of Mathematical Methods for Business, Economics and Finance, Second Edition is the go-to study guide for students enrolled in business and economics courses that require a variety of mathematical skills. No mathematical proficiency beyond the high school level is assumed, enabling students to progress at their own rate and adapt the book to their own needs.

This book grew out of a course of lectures given to third year undergraduates at Oxford University and it has the modest aim of producing a rapid introduction to the subject. It is designed to be read