• Broad coverage captures all the key mathematical concepts and theories with which a chemist should be familiar, making it the ideal reference throughout your studies.
• The author's unfussy approach lets the subject speak for itself, using a combination of straightforward explanations and reinforcing examples.
• The much-praised lucid writing style leads the student through even the most challenging topics in a steady, engaging way.
• Extensive range of worked examples demonstrate every important concept and method in the text, to help the student grasp the material being presented.
• End of chapter exercises encourage the student to learn through hands-on practice.
• Online Resource Centre features additional resources for registered adopters of the text, to facilitate its use in teaching.

New to this edition

• Contents reorganized to link the text and examples more closely with the exercises at the end of each chapter: it is now easier for the reader to try for themselves the exercises that are directly relevant to the topic they have been reading.
• Material within some chapters has been reorganized to make the development of the subject more logical.
• Extensive changes to chapter 1, retitled 'Numbers, Variables and Units' include a new section, Factorization, factors, and factorials, which fills a gap in the coverage of elementary topics and a rewritten and much enlarged section on units.
• Chapter 2 has been revised to accommodate more discussion of the factorization and manipulation of algebraic expressions.
• In chapter 9, the section on line integrals has been rewritten to clarify the relevance of line integrals to change of state in thermodynamics.
• In chapter 13, a revision of the section on the Frobenius method, with new and more demanding examples and exercises.
• In chapter 19, revised treatment of eigenvalues and eigenvectors, with new examples and exercises, to improve the flow and clarity of the discussion.
• A full set of worked solutions to the end of chapter exercises is now available in the book's Online Resource Centre.

Readership: Students of chemistry at all levels.

Erich Steiner, Honorary University Fellow and former senior lecturer at the University of Exeter, UK

Review(s) from previous edition

"It seems well suited both for its stated purpose and as a "brush-up" book for undergraduates, graduate students, and others. The mathematics are carried out briskly and with very little dressing ... there is much material to cover here and it works well through Steiner's particularly lucid presentation. The notation is standard and clear ... I am impressed with this book, I am sure that it will remain open on my desk and will become well worn in short order. - C. Michael McCallum, University of the Pacific, Journal of Chemical Education, Vol. 74 No. 12 December 1997

1: Numbers, variables and units
2: Algebraic functions
3: Transcendental functions
4: Differentiation
5: Integration
6: Methods of integration
7: Sequences and series
8: Complex numbers
9: Functions of several variables
10: Functions in 3 dimensions
11: First-order differential equations
12: Second-order differential equations. Constant coefficients
13: Second-order differential equations. Some special functions
14: Partial differential equations
15: Orthogonal expansions. Fourier analysis
16: Vectors
17: Determinants
18: Matrices and linear transformations
19: The matrix eigenvalue problem
20: Numerical methods
21: Probability and statistics