Essential Mathematics and Statistics for Science, 2nd Edition

by Graham Currell (Bristol Polytechnic, UK; University of the West of England); Antony Dowman (University of the West of England)

• ISBN13: 9780470694497
• ISBN10: 0470694491
• Edition: 2nd
• Format: Hardcover
• Copyright: 2009-07-01
• Publisher: Wiley

Summary

This 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. Website provides over 16 hours of video answers in addition to self-assessment tests, Excel and Minitab tutorials and other resources: www.wiley.com/go/currellmaths2

Table of Contents

Preface	p. xi
On-line Learning Support	p. xv
Mathematics and Statistics in Science	p. 1
Data and Information	p. 2
Experimental Variation and Uncertainty	p. 2
Mathematical Models in Science	p. 4
Scientific Data	p. 7
Scientific Numbers	p. 8
Scientific Quantities	p. 15
Chemical Quantities	p. 20
Angular Measurements	p. 31
Equations in Science	p. 41
Basic Techniques	p. 41
Rearranging Simple Equations	p. 53
Symbols	p. 63
Further Equations	p. 68
Quadratic and Simultaneous Equations	p. 78
Linear Relationships	p. 87
Straight Line Graph	p. 89
Linear Regression	p. 99
Linearization	p. 107
Logarithmic and Exponential Functions	p. 113
Mathematics of e, In and log	p. 114
Exponential Growth and Decay	p. 128
Rates of Change	p. 145
Rate of Change	p. 145
Differentiation	p. 152
Statistics for Science	p. 161
Analysing Replicate Data	p. 162
Describing and Estimating	p. 168
Frequency Statistics	p. 176
Probability	p. 190
Factorials, Permutations and Combinations	p. 203
Distributions and Uncertainty	p. 211
Normal Distribution	p. 212
Uncertainties in Measurement	p. 217
Presenting Uncertainty	p. 224
Binomial and Poisson Distributions	p. 230
Scientific Investigation	p. 243
Scientific Systems	p. 243
The `Scientific Method'	p. 245
Decision Making with Statistics	p. 246
Hypothesis Testing	p. 250
Selecting Analyses and Tests	p. 256
t-tests and F-tests	p. 261
One-sample t-tests	p. 262
Two-sample t-tests	p. 267
Paired t-tests	p. 272
F-tests	p. 274
ANOVA - Analysis of Variance	p. 279
One-way ANOVA	p. 279
Two-way ANOVA	p. 286
Two-way ANOVA with Replication	p. 290
ANOVA Post Hoc Testing	p. 296
Non-parametric Tests for Medians	p. 299
One-sample Wilcoxon Test	p. 301
Two-sample Mann-Whitney U-test	p. 305
Paired Wilcoxon Test	p. 308
Kruskal-Wallis and Friedman Tests	p. 311
Correlation and Regression	p. 315
Linear Correlation	p. 316
Statistics of Correlation and Regression	p. 320
Uncertainty in Linear Calibration	p. 324
Frequency and Proportion	p. 331
Chi-squared Contingency Table	p. 332
Goodness of Fit	p. 340
Tests for Proportion	p. 343
Experimental Design	p. 349
Principal Techniques	p. 349
Planning a Research Project	p. 357
Microsoft Excel	p. 359
Cumulative z-areas for Standard Normal Distribution	p. 363
Critical Values: t-statistic and Chi-squared, X2	p. 365
Critical F-values at 0.05 (95%) Significance	p. 367
Critical Values at 0.05 (95 %) Significance for: Pearson's Correlation Coefficient, r, Spearman's Rank Correlation Coefficient, rs, and Wilcoxon Lower Limit, WL	p. 369
Mann-Whitney Lower Limit, UL, at 0.05 (95%) Significance	p. 371
Short Answers to 'Q' Questions	p. 373
Index	p. 379
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