It is now possible to enter a chemistry degree course at many UK universities without any formal maths training beyond age 16. Addressing this deficiency requires students to take additional mathematics training when entering university, yet the relevance of maths to chemistry is often poorly appreciated by chemistry students. In addition, many service courses are either too abstract, or aimed at physicists and engineers, for students of chemistry, who are not inclined to study mathematical techniques per se and do not make the connection between the maths they are taught and the chemistry they want to study.Based on the successful at a Glance approach, with integrated double page presentations explaining the mathematics required by undergraduate students of chemistry, set in context by detailed chemical examples, this book will be indispensable to all students of chemistry. By bringing the material together in this way the student is shown how to apply the maths and how it relates to familiar concepts in chemistry. By including problems (with answers) on each presentation, the student is encouraged to practice both the mathematical manipulations and the application to problems in chemistry. More detailed chemical problems at the end of each topic illustrate the range of chemistry to which the maths is relevant and help the student acquire sufficient confidence to apply it when necessary.
A. Handling Data 1. Units 2. Significant figures 3. Accuracy and precision 4. Calculated quantities 5. Uncertainties 6. Maximum possible error 7. Maximum probable error 8. Simple statistics 9. Statistical tests 10. Scientific notation B. Algebra and Basic Skills 11. Precedence 12. Fractions 13. Inequalities 14. Indices 15. Rearranging equations 16. Ratios and proportionality 17. Factorials C. Functions 18. Functions of one variable 19. Functions of many variables 20. Equation of a straight line 21. Inverse functions 22. Series 23. Real and imaginary numbers 24. Complex numbers 25. Factorisation 26. Quadratic equations 27. The exponential function 28. Natural logarithms 29. Logarithms to base 10 D. Trigonometry and Vectors 30. Trigonometry 31. Trigonometric functions 32. Inverse trigonometric functions 33. Coordinate systems 34. Vectors 35. Moduli 36. Scalar and vector products E. Calculus 37. Differentiation 38. Differentiation of polynomials 39. Differentiation of functions 40. Differentiation of combinations of functions 41. Higher order differentiation 42. Stationary points 43. Partial differentiation 44. The differential 45. Integration 46. Integration of polynomials 47. Integration of functions 48. Specific methods of integration 49. Solving differential equations 50. Partial fractions
P. YatesUniversity of Keele, Staffordshire, UK
By including problems (with solutions) the student id encouraged to practice both the mathematical manipulations and their application to the problems in chemistry...would make a useful addition to the bookshelf of a chemistry undergraduate. Chemistry World (Jan 2006) "Every new idea is explained using real chemical examples...the problems and worked answers at the end of each section are excellent, and a valuable aid to both the students and lecturers." "Students will be able to work through its content at their own pace, wihtout feeling overwhelmed by the difficult sections or patronised by the simpler ones. I would not be surprised if Chemical Calculations at a glance became the standard recommended textbook for the remedial maths classes in most UK chemistry departments." Education in Chemistry (Jan 2006)