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Quantitative Reasoning
Thinking in Numbers
Employs basic mathematical skills to teach students how to address topical, real-world problems using quantitative reasoning.
Eric Zaslow (Author)
9781108410908, Cambridge University Press
Paperback / softback, published 16 January 2020
258 pages, 22 b/w illus. 8 tables
25.3 x 17.8 x 1.3 cm, 0.56 kg
'I have really enjoyed reading this book and I am sure others will find the same. Whilst the whole structure is designed for a specific course, nevertheless the approach is helpful and useful.' Peter Hall, The Mathematical Gazette
Is college worth the cost? Should I worry about arsenic in my rice? Can we recycle pollution? Real questions of personal finance, public health, and social policy require sober, data-driven analyses. This unique text provides students with the tools of quantitative reasoning to answer such questions. The text models how to clarify the question, recognize and avoid bias, isolate relevant factors, gather data, and construct numerical analyses for interpretation. Themes and techniques are repeated across chapters, with a progression in mathematical sophistication over the course of the book, which helps the student get comfortable with the process of thinking in numbers. This textbook includes references to source materials and suggested further reading, making it user-friendly for motivated undergraduate students. The many detailed problems and worked solutions in the text and extensive appendices help the reader learn mathematical areas such as algebra, functions, graphs, and probability. End-of-chapter problem material provides practice for students, and suggested projects are provided with each chapter. A solutions manual is available online for instructors.
1. Is college worth the cost?
2. How many people died in the Civil War?
3. How much will this car cost?
4. Should we worry about arsenic in rice?
5. What is the economic impact of the undocumented?
6. Should I buy health insurance?
7. Can we recycle pollution?
8. Why is it dark at night?
9. Where do the stars go in the daytime?
10. Should I take this drug for my headache?
Appendix 1. Numeracy
Appendix 2. Arithmetic
Appendix 3. Algebra
Appendix 4. Geometry
Appendix 5. Units and scientific notation
Appendix 6. Functions
Appendix 7. Probability
Appendix 8. Statistics
Appendix 9. Estimation.
Subject Areas: Mathematical modelling [PBWH], Mathematical logic [PBCD], Data analysis: general [GPH]