Mathematical skills and concepts lie at the heart of chemistry, yet they are the aspect of the subject that many students fear the most. Maths for Chemistry recognizes the challenges faced by many students in equipping themselves with the maths skills necessary to gain a full understanding of chemistry. Working from foundational principles, the book builds the student's confidence by leading them through the subject in a steady, progressive way from basic algebra to quantum mathematics. Opening with the core mathematics of algebra, logarithms and trigonometry, the book goes on to cover calculus, matrices, vectors, complex numbers, and laboratory mathematics to cover everything that a chemistry student needs. With its modular structure, the book presents material in short, manageable sections to keep the content as accessible and readily digestible as possible. Maths for Chemistry is the perfect introduction to the essential mathematical concepts which all chemistry students should master.
Author(s): Paul Monk, Lindsey Munro
Edition: 3
Publisher: OUP Oxford
Year: 2021
Language: English
Commentary: Publisher PDF
Pages: 825
City: Oxford, UK
Tags: Maths; Mathematics; Chemistry; Algebra; Logarithms; Trigonometry; Calculus; Differentiation; Integration; Matrices; Vectors; Complex Numbers; Probability; Statistics
Cover
Maths for Chemistry: A chemist’s toolkit of calculations
Copyright
Contents
Introduction
Acknowledgements
Instructions for the tutor
Instructions for the student
Symbols and abbreviations
1: The display of numbers: Standard factors, algebraic phrases, scientific notation, significant figures, and decimal places
2: Algebra I: Introducing notation, symbols, and operators
3: Algebra II: The correct order to perform a series of operations: BODMAS
4: Algebra III: Simplifying equations
5: Algebra IV: Fractions and percentages
6: Algebra V: Rearranging simple equations
7: Algebra VI: Multiplying brackets and factorizing
8: Algebra VII: Solving simultaneous linear equations
9: Powers I: Introducing indices and powers
10: Powers II: Exponentials and logarithms
11: Trigonometry
12: Advanced BODMAS: Rearranging equations with more complicated functions
13: Differentiation I: Rates of change, tangents, and differentiation
14: Differentiation II: Differentiating other functions
15: Differentiation III: Differentiating functions of functions: the chain rule
16: Differentiation IV: The product rule and the quotient rule
17: Differentiation V: Higher-order differentials and turning points
18: Differentiation VI: Partial differentiation
19: Integration I: Reversing the process of differentiation
20: Integration II: Separating the variables and integrating with limits
21: Integration III: Integration by parts, by substitution, with power series, and using published tables
22: Integration IV: Integrating areas and volumes, and multiple integration
23: Matrices I
24: Matrices II: Symmetry operations and symmetry elements
25: Complex numbers
26: Vectors
27: Graphs I: Pictorial representations of functions
28: Graphs II: The equation of a straight-line graph
29: Graphs III: Obtaining linear graphs from non-linear functions
30: Probability I: Quantifying a likelihood
31: Probability II: Partition functions and wavefunctions
32: Statistics I: Averages and simple data analysis
33: Statistics II: Treatment and assessment of errors
34: Statistics III: Variance and significance testing
35: Statistics IV: Analyses with multiple data sets and ANOVA
36: Dimensional analysis
Notation and text
Answers to self-test questions
Bibliography
Glossary
Index
