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Essential Mathematics and Statistics for Science / Edition 1

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Overview

Essential Mathematics and Statistics for Science, Second Edition 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 all the 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.

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 organization of resources for ease of use in teaching.

Website incorporates Excel and Minitab tutorials in addition to self-assessment tests, worked video answers and other resources: www.wiley.com/go/currellmaths2

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Product Details

  • ISBN-13: 9780470022290
  • Publisher: Wiley, John & Sons, Incorporated
  • Publication date: 5/27/2005
  • Edition number: 1
  • Pages: 360
  • Product dimensions: 6.71 (w) x 9.70 (h) x 0.82 (d)

Table of Contents

Preface xi

On-line Learning Support xv

1 Mathematics and Statistics in Science 1

1.1 Data and Information 2

1.2 Experimental Variation and Uncertainty 2

1.3 Mathematical Models in Science 4

2 Scientific Data 7

2.1 Scientific Numbers 8

2.2 Scientific Quantities 15

2.3 Chemical Quantities 20

2.4 Angular Measurements 31

3 Equations in Science 41

3.1 Basic Techniques 41

3.2 Rearranging Simple Equations 53

3.3 Symbols 63

3.4 Further Equations 68

3.5 Quadratic and Simultaneous Equations 78

4 Linear Relationships 87

4.1 Straight Line Graph 89

4.2 Linear Regression 99

4.3 Linearization 107

5 Logarithmic and Exponential Functions 113

5.1 Mathematics of e, In and log 114

5.2 Exponential Growth and Decay 128

6 Rates of Change 145

6.1 Rate of Change 145

6.2 Differentiation 152

7 Statistics for Science 161

7.1 Analysing Replicate Data 162

7.2 Describing and Estimating 168

7.3 Frequency Statistics 176

7.4 Probability 190

7.5 Factorials, Permutations and Combinations 203

8 Distributions and Uncertainty 211

8.1 Normal Distribution 212

8.2 Uncertainties in Measurement 217

8.3 Presenting Uncertainty 224

8.4 Binomial and Poisson Distributions 230

9 Scientific Investigation 243

9.1 Scientific Systems 243

9.2 The 'Scientific Method' 245

9.3 Decision Making with Statistics 246

9.4 Hypothesis Testing 250

9.5 Selecting Analyses and Tests 256

10 t-tests and F-tests 261

10.1 One-sample t-tests 262

10.2 Two-sample t-tests 267

10.3 Paired t-tests 272

10.4 F-tests 274

11 ANOVA - Analysis of Variance 279

11.1 One-way ANOVA 279

11.2 Two-way ANOVA 286

11.3 Two-way ANOVA with Replication 290

11.4 ANOVA Post HocTesting 296

12 Non-parametric Tests for Medians 299

12.1 One-sample Wilcoxon Test 301

12.2 Two-sample Mann-Whitney U-test 305

12.3 Paired Wilcoxon Test 308

12.4 Kruskal-Wallis and Friedman Tests 311

13 Correlation and Regression 315

13.1 Linear Correlation 316

13.2 Statistics of Correlation and Regression 320

13.3 Uncertainty in Linear Calibration 324

14 Frequency and Proportion 331

14.1 Chi-squared Contingency Table 332

14.2 Goodness of Fit 340

14.3 Tests for Proportion 343

15 Experimental Design 349

15.1 Principal Techniques 349

15.2 Planning a Research Project 357

Appendix I Microsoft Excel 359

Appendix II Cumulative z-areas for Standard Normal Distribution 363

Appendix III Critical Values: t-statistic and Chi-squared, X2 365

Appendix IV Critical F-values at 0.05 (95%) Significance 367

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 369

Appendix VI Mann-Whitney Lower Limit, UL, at 0.05 (95%) Significance 371

Short Answers to 'Q' Questions 373

Index 379

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