Currell G., Dowman A. Essential Mathematics and Statistics for Science

Wiley, 2009. – 404 p. – 2nd ed. – ISBN: 0470694483, 0470694491, 9780470694480This book is a completely revised and updated version of this invaluable text which allows science students to extend necessary skills and techniques, with the topics being developed through examples in science which are easily understood by students from a range of disciplines. The introductory approach eases students into the subject, progressing to cover topics relevant to first and second year study and support data analysis for final year projects.
The revision of the material in the book has been matched, on the accompanying website, with the extensive use of video, providing worked answers to over 200 questions in the book plus additional tutorial support. The second edition has also improved the learning approach for key topic areas to make it even more accessible and user-friendly, making it a perfect resource for students of all abilities. The expanding website provides a wide range of support material, providing a study environment within which students can develop their independent learning skills, in addition to providing resources that can be used by tutors for integration into other science-based programmes.
Hallmark Features:
Applied approach providing mathematics and statistics from the first to final years of undergraduate science courses.
Second edition substantially revised to improve the learning approach to key topics and the organisation of resources for ease of use in teaching.
Companion website
Over 200 videos showing step-by-step workings of problems in the book.
Additional materials including related topic areas, applications, and tutorials on Excel and Minitab.
Interactive multiple-choice questions for self-testing, with step-by-step video feedback for any wrong answers.
A developing resource of study plans for useful topics and applications.
Figures from the book for downloading.On-line Learning Support
Mathematics and Statistics in Science
Data and Information
Experimental Variation and Uncertainty
Mathematical Models in Science
Scientific Data
Scientific Numbers
Scientific Quantities
Chemical Quantities
Angular Measurements
Equations in Science
Basic Techniques
Rearranging Simple Equations
Symbols
Further Equations
Quadratic and Simultaneous Equations
Linear Relationships
Straight Line Graph
Linear Regression
Linearization
Logarithmic and Exponential Functions
Mathematics of e, ln and log
Exponential Growth and Decay
Rates of Change
Rate of Change
Differentiation
Statistics for Science
Analysing Replicate Data
Describing and Estimating
Frequency Statistics
Probability
Factorials, Permutations and Combinations
Distributions and Uncertainty
Normal Distribution
Uncertainties in Measurement
Presenting Uncertainty
Binomial and Poisson Distributions
Scientific Investigation
Scientific Systems
The ‘Scientific Method’
Decision Making with Statistics
Hypothesis Testing
Selecting Analyses and Tests
t -tests and F-tests
One-sample t -tests
Two-sample t -tests
Paired t -tests
F-tests
ANOVA – Analysis of Variance
One-way ANOVA
Two-way ANOVA
Two-way ANOVA with Replication
ANOVA Post Hoc Testing
Non-parametric Tests for Medians
One-sample Wilcoxon Test
Two-sample Mann–Whitney U-test
Paired Wilcoxon Test
Kruskal–Wallis and Friedman Tests
Correlation and Regression
Linear Correlation
Statistics of Correlation and Regression
Uncertainty in Linear Calibration
Frequency and Proportion
Chi-squared Contingency Table
Goodness of Fit
Tests for Proportion
Experimental Design
Principal Techniques
Planning a Research ProjectAppendix I: Microsoft Excel
Appendix II: Cumulative z -areas for Standard Normal Distribution
Appendix III: Critical Values: t -statistic and Chi-squared, χ2
Appendix IV: Critical F-values at 0.05 (95 %) Significance
Appendix V: Critical Values at 0.05 (95 %) Significance for: Pearson’s Correlation Coefficient, r , Spearman’s Rank Correlation Coefficient, rS, and Wilcoxon Lower Limit, WL
Appendix VI: Mann–Whitney Lower Limit, UL, at 0.05 (95 %) Significance
Short Answers to ‘Q’ Questions