$62.48

# Introducing Pure Mathematics

By Garry Wiseman, Robert Smedley, Ian Cook, Graham Upton, Thorning, Sadler

US$ 62.48

The publisher has enabled DRM protection, which means that you need to use the BookFusion iOS, Android or Web app to read this eBook. This eBook cannot be used outside of the BookFusion platform.

Book Description

This text is clearly set out with an excellent combination of clear examples and explanations, and plenty of practice material - ideal for supporting students who are working alone. Each chapter concludes with a selection of exam-style questions, giving students lots of practice for the real thing.

Table of Contents

- Front Cover
- Title Page
- Contents
- Preface
- 1 Algebra
- Linear equations
- Linear inequalities
- Simutaneous linear equations
- Quadratic equations
- Completing the square
- Quadratic formula
- Discriminant of a quadratic equation
- Disguised quadratic equations
- Sketching the graph of a quadratic function
- Maxima and minima
- Quadratic inequalities
- Further simultaneous equations

- 2 Geometry
- Pythagoras’ theorem
- Trigonometric ratios
- Three-dimensional appications
- Sine and cosine rules
- Plane shapes
- Radian measure
- Volume

- 3 Functions
- Transformation of the graph of a fuction
- Mappings
- Modulus function
- Even and odd functions
- Periodic functions
- Composite functions
- Inverse fuctions

- 4 Polynomials
- Addition and subraction of polynomials
- Multipication of polynomials
- Dividing polynomials
- Factorising polynomials

- 5 Coordinate geometry
- Distance between two points
- Mid-point of a straight line
- Gradient of a straight line
- Parallel and perpendicular lines
- General equation of a straight
- Distance of a point from a line
- Intersection of two straight lines
- Angle between two straight lines

- 6 Differentiation I
- Gradients of curves
- Differentiation from first principles
- Sum or difference of two functions
- Second derivative
- Tangents and normals to a curve
- Maximum, minimum and point of inflexion
- Second derivative and stationary points
- Increasing and decreasing functions
- Practical applications of maxima and minima

- 7 Integration I
- Area under a curve
- Area between a curve and the y-axis
- Area between two curves
- Volume of revolution about the x-axis
- Volumes of revolution about other axes

- 8 The circle
- Tangents to a circle
- Intersection of two circles

- 9 Sequences and series
- Convergent and divergent
- Oscillating sequences
- Periodic sequences
- Series and sigma notation
- Convergent and divergent series
- Arithmetic progressions
- Infinite geometric progresions
- Mixed example

- 10 Binomial expansions
- Binomial theorem for a positive integral index
- Expansion of (a+x)n
- Approximations
- Binomial theorem when n is not a positive integer

- 11 Algebraic fractions
- Partial fractions
- Application of partial fractions to series expansion

- 12 Differentiation II
- Function of a function
- Inverse function of a function (integration of f’(x)[f(x)]n)
- Product rule
- Quotient rule
- Applications

- 13 Differentiation III
- Implicit functions
- Parametric equations
- Rates of change

- 14 Trigonometry I
- Trigonometric functions
- Trigonometric equations
- Standard trigonometric identities
- Further trigonometric equations
- Proving trigonometric identities

- 15 Trigonometry II
- Compound angles
- Double angles
- Half-angle and other formulae
- Factor formulae
- Radians

- 16 Calculus with trigonometry
- Differentiation of Sin x and Cos x
- Differentiation of sin nx and cos nx
- Differentiation of sinnx and cosnx
- Differentiation of tan x, cosec x, sec x and cot x

- 17 Indices and logarithms
- Indices
- Surds
- Logarithms

- 18 Calculus with exponentials and logarithms
- Exponential functions
- Natural logarithms
- Definite integrals involving logarithms
- Applications

- 19 Integration II
- Change of variable
- Standard forms
- Using partial fractions
- Integration by parts
- Integral of tan x, cosec x, sec x and cot x
- Further results
- Differential equations
- Application to exponential laws of growth and decay

- 20 Numerical methods
- Numerical solution of equations
- Graphical methods
- Iterative methods
- Trapezium rule
- Simpsons rule

- 21 Vectors
- Addition and subracton of vectors
- Position vectors
- Scalar product
- Vector equation of a line

- 22 Proof
- Impication between mathematical statements
- Disproving statements
- Proof by contradiction

- Answer
- Index
- Back Cover

The book hasn't received reviews yet.

You May Also Like

Edexcel Further Maths: Further Pure 2 For AS and A Level

By Ian Bettison, Katie Wood, Brian Jefferson, David Bowles, Eddie Mullan, Garry Wiseman, John Rayneau, Mike Heylings, Rob Wagner, Tony Beadsworth, C P Rourke, Mark Gaulter, Brian Gaulter, Robert Smedley, Ian Cook, Graham Upton, Thorning, Sadler

AQA A Level Maths: Year 1 / AS Level: Bridging Edition

By Katie Wood, Brian Jefferson, David Bowles, Eddie Mullan, Garry Wiseman, John Rayneau, Mike Heylings, Rob Wagner, Paul Williams, Tony Beadsworth, C P Rourke, Mark Gaulter, Brian Gaulter, Robert Smedley, Ian Cook, Graham Upton, Thorning, Sadler

Edexcel Further Maths: Further Mechanics 2 For AS and A Level

By Katie Wood, Brian Jefferson, David Bowles, Eddie Mullan, Garry Wiseman, John Rayneau, Mike Heylings, Rob Wagner, Tony Beadsworth, C P Rourke, Mark Gaulter, Brian Gaulter, Robert Smedley, Ian Cook, Graham Upton, Thorning, Sadler

Edexcel Further Maths: Decision Maths 2 For AS and A Level

By Katie Wood, Brian Jefferson, David Bowles, Eddie Mullan, Garry Wiseman, John Rayneau, Mike Heylings, Rob Wagner, Tony Beadsworth, C P Rourke, Mark Gaulter, Brian Gaulter, Robert Smedley, Ian Cook, Graham Upton, Thorning, Sadler

A Concise Course in Advanced Level Statistics with worked examples Export Edition

By Joan Sybil Chambers, D J Crawshaw, Brian Jefferson, David Bowles, Eddie Mullan, Garry Wiseman, John Rayneau, Mike Heylings, Rob Wagner, Steve Cavill, Tony Beadsworth, C P Rourke, Mark Gaulter, Brian Gaulter, Robert Smedley, Ian Cook, Graham Upton, Thorning, Sadler

Further Pure Mathematics

By Mark Gaulter, Brian Gaulter, Robert Smedley, Ian Cook, Graham Upton, Thorning, Sadler

Edexcel A Level Maths: Year 2

By Katie Wood, Mark Rowlands, Brian Jefferson, David Bowles, Eddie Mullan, Garry Wiseman, John Rayneau, Mike Heylings, Rob Wagner, Paul Williams, Tony Beadsworth, C P Rourke, Mark Gaulter, Brian Gaulter, Robert Smedley, Ian Cook, Graham Upton, Thorning, Sadler

Edexcel A Level Maths: Year 1 and 2: Bridging Edition

By Katie Wood, Mark Rowlands, Brian Jefferson, David Bowles, Eddie Mullan, Garry Wiseman, John Rayneau, Mike Heylings, Rob Wagner, Paul Williams, Tony Beadsworth, C P Rourke, Mark Gaulter, Brian Gaulter, Robert Smedley, Ian Cook, Graham Upton, Thorning, Sadler

Edexcel Further Maths: Further Statistics 1 For AS and A Level

By Katie Wood, Brian Jefferson, David Bowles, Eddie Mullan, Garry Wiseman, John Rayneau, Mike Heylings, Rob Wagner, Tony Beadsworth, C P Rourke, Mark Gaulter, Brian Gaulter, Robert Smedley, Ian Cook, Graham Upton, Thorning, Sadler

Edexcel Further Maths: Core Pure Year 1/AS LevelBy Katie Wood, Brian Jefferson, David Bowles, Eddie Mullan, Garry Wiseman, John Rayneau, Mike Heylings, Rob Wagner, Tony Beadsworth, C P Rourke, Mark Gaulter, Brian Gaulter, Robert Smedley, Ian Cook, Graham Upton, Thorning, Sadler

Also Available On

Categories