Core Maths for the Biosciences
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Product details:
- Edition number 1
- Publisher OUP Oxford
- Date of Publication 31 March 2011
- ISBN 9780199216345
- Binding Paperback
- No. of pages608 pages
- Size 265x196x26 mm
- Weight 1410 g
- Language English
- Illustrations 250 colour line drawings 0
Categories
Short description:
Core Maths for the Biosciences introduces the range of mathematical concepts that bioscience students need to master during thier studies. Starting from fundamental concepts, it blends clear explanations and biological examples throughout as it equips the reader with the full range of mathematical tools required by biologists today.
MoreLong description:
Biological systems are often best explored and explained using the power of maths - from the rate at which enzymes BIOL15SDAessential life processes, to the way populations ebb and flow as predators and prey interact. Mathematical tools lie at the heart of understanding biological systems - and mathematical skills are essential for success as a bioscientist.
Core Maths for the Biosciences introduces the range of mathematical concepts that bioscience students may encounter - and need to master - during the course of their studies. Starting from fundamental concepts of arithmetic and algebra, the book blends clear explanations and biological examples throughout as it takes the reader towards some of the most sophisticated yet elegant mathematical tools in use by biologists today: differential equations, dynamical systems and chaos theory.
Three case studies appear in instalments throughout the text, illustrating the theory: Models of Population Growth, Models of Cancer, and Predator-Prey Relationships.
Reflecting the use of maths in modern biology, the book shows how computational approaches are applied to probe biological questions, and makes extensive use of computer support to help readers develop intuitive mathematical skills - both through graph-plotting software, and interactive Excel® workbooks for each chapter.
Core Maths for the Biosciences is the ideal course companion as you master the mathematical skills you need to complete your undergraduate studies and will remain a valuable resource at professional and research level.
Online support
Free online support, including a suite of interactive Excel (R) spreadsheets and problem solutions, to encourage hands-on learning and to help students to master even the most challenging concepts is available from the author at mbreed.co.uk/mathematics/
Exactly the sort of thing that will be helpful in showing those with biological problems how mathematics can be very useful - and that what is really important is maintaining an intuitive understanding between the mathematics - which is essentially no more, but no less, than a way of thinking very precisely - and the actual phenomena they are dealing with...Very fine indeed.
Table of Contents:
Part 1: Arithmetic, Algebra & Functions
Arithmetic and Algebra
Units, Precision and Accuracy
Data tables, graphs, interpolation
Molarity and dilutions
Variables, functions and equations
Linear functions and curve sketching
Quadratic and Polynomial Functions
Fitting curves; rational and inverse functions
Periodic functions
Exponential and logarithmic functions
Part 2: Calculus and Differential Equations
Instantaneous rate of change: the derivative
Rules of differentiation
Applications of differentiation
Techniques of integration
The definite integral
Differential equations I
Differential equations II
Extension: dynamical systems
