Basic Mathematics for Biochemists

Overview

Mathematics is essential to the study and understanding of biochemistry yet most undergraduates do not have a grasp of maths. This book sets out all the mathematics needed for an undergraduate course in biochemistry, assuming a minimum of prior knowledge. Emphasis is placed on topics necessary for biochemists and all the examples are relevant to biochemistry. Each chapter contains illustrative boxes and worked examples and also a problem section (the answers are given in the back of the book). The book starts by ...
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Overview

Mathematics is essential to the study and understanding of biochemistry yet most undergraduates do not have a grasp of maths. This book sets out all the mathematics needed for an undergraduate course in biochemistry, assuming a minimum of prior knowledge. Emphasis is placed on topics necessary for biochemists and all the examples are relevant to biochemistry. Each chapter contains illustrative boxes and worked examples and also a problem section (the answers are given in the back of the book). The book starts by covering the basic concepts of mathematics such as manipulating fractions, functions, and plotting graphs and then explains exponents and logarithms in depth. The next two chapters cover all the ordinary differentiation and integration required by the biochemist. Partial differentiation is explained in a later chapter. Chapter 6 is about solving equations (linear, simultaneous, quadratic, and higher-order) and the final chapter covers the basic ideas of statistics. Basic Mathematics for Biochemists will therefore be invaluable to all biochemistry undergraduates and will also be useful to more experienced biochemists needing to refresh their maths.

The book contains black-and-white illustrations.

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Product Details

  • ISBN-13: 9780412230103
  • Publisher: Springer Netherlands
  • Publication date: 1/1/1981
  • Pages: 138
  • Product dimensions: 5.50 (w) x 8.50 (h) x 0.33 (d)

Table of Contents

1 The Language of Mathematics.- 1.1 Introduction.- 1.2 Priority rules for operators.- 1.3 The summation sign.- 1.4 Functions.- 1.5 Constants, variables and parameters.- 1.6 Dimensional analysis.- 1.7 Plotting graphs.- 1.8 Precision.- 1.9 Problems.- 2 Exponents and Logarithms.- 2.1 Integer powers.- 2.2 Fractional exponents.- 2.3 Addition and subtraction of exponents.- 2.4 Logarithms.- 2.5 Common logarithms.- 2.6 Negative numbers have no logarithms.- 2.7 Natural logarithms.- 2.8 Logarithms to base 2.- 2.9 Exponential decay.- 2.10 Logarithms as a method of scaling.- 2.11 Products of equilibrium constants.- 2.12 Logarithms of dimensioned quantities?.- 2.13 Redox potentials.- 2.14 Dependence of redox potentials on pH.- 2.15 Problems.- 3 Differential Calculus.- 3.1 Co-ordinate geometry.- 3.2 Slope of a curve.- 3.3 Rapid differentiation.- 3.4 Derivatives of sums and products.- 3.5 Derivative of a ‘function of a function’.- 3.6 Derivative of a ratio.- 3.7 Higher derivatives.- 3.8 Notation.- 3.9 Maxima and minima.- 3.10 A note on terminology.- 3.11 Points of inflexion.- 3.12 Sketching curves.- 3.13 Problems.- 4 Integral Calculus.- 4.1 Increases in area.- 4.2 Definite and indefinite integrals.- 4.3 Simple integrals.- 4.4 Integral of 1/x.- 4.5 Differential equations.- 4.6 Numerical integration: evaluating the area under a curve.- 4.7 Problems.- 5 Solving Equations.- 5.1 Linear equations in one unknown.- 5.2 Rearranging equations.- 5.3 Simultaneous linear equations.- 5.4 Determinants.- 5.5 Quadratic equations.- 5.6 Graphical solution of equations.- 5.7 Newton’s method.- 5.8 Approximate methods.- 5.9 Problems.- 6 Partial Differentiation.- 6.1 Meaning of a partial derivative.- 6.2 Exact and inexact differentials.- 6.3 Least-squares fitting of the Michaelis—Menten equation.- 6.4 Problems.- Notes and Solutions to Problems.

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