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Cambridge International AS and A Level Mathematics Pure Mathematics 2 and 3 [Multiple-component retail product]

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  • Formatas: Multiple-component retail product, 352 pages, aukštis x plotis x storis: 246x189x17 mm, weight: 760 g, Contains 1 Paperback / softback and 1 CD-ROM
  • Išleidimo metai: 29-Jun-2012
  • Leidėjas: Hodder Education
  • ISBN-10: 1444146467
  • ISBN-13: 9781444146462
Kitos knygos pagal šią temą:
Cambridge International AS and A Level Mathematics Pure Mathematics 2 and 3Didesnis paveikslėlis
  • Formatas: Multiple-component retail product, 352 pages, aukštis x plotis x storis: 246x189x17 mm, weight: 760 g, Contains 1 Paperback / softback and 1 CD-ROM
  • Išleidimo metai: 29-Jun-2012
  • Leidėjas: Hodder Education
  • ISBN-10: 1444146467
  • ISBN-13: 9781444146462
Kitos knygos pagal šią temą:
Pastovi nuoroda: https://www.kriso.lt/db/9781444146462.html
Raktažodžiai:
This brand new series has been written for the University of Cambridge International Examinations course for AS and A Level Mathematics (9709). This title covers the requirements of P2 and P3.

The authors are experienced examiners and teachers who have written extensively at this level, so have ensured all mathematical concepts are explained using language and terminology that is appropriate for students across the world.

Students are provded with clear and detailed worked examples and questions from Cambridge International past papers, so they have the opportunity for plenty of essential exam practice.

Each book contains a free CD-ROM which features the unique 'Personal Tutor' and 'Test Yourself' digital resources that will help students revise and reinforce concepts away from the classroom:





- With Personal Tutor each student has access to audio-visual, step-by-step support through exam-style questions - The Test Yourself interactive multiple choice questions identify weaknesses and point students in the right direction.
Key to symbols in this book vi
Introduction vii
The Cambridge International AS and A Level Mathematics syllabus viii
P2 Pure Mathematics 2
1(152)
Chapter 1 Algebra
2(21)
Operations with polynomials
3(5)
Solution of polynomial equations
8(9)
The modulus function
17(6)
Chapter 2 Logarithms and exponentials
23(28)
Logarithms
23(5)
Exponential functions
28(2)
Modelling curves
30(9)
The natural logarithm function
39(4)
The exponential function
43(8)
Chapter 3 Trigonometry
51(27)
Reciprocal trigonometrical functions
52(3)
Compound-angle formulae
55(6)
Double-angle formulae
61(5)
The forms rcos(θ ± α), rsin(θ ± α)
66(9)
The general solutions of trigonometrical equations
75(3)
Chapter 1 Differentiation
78(39)
The product rule
78(2)
The quotient rule
80(5)
Differentiating natural logarithms and exponentials
85(7)
Differentiating trigonometrical functions
92(5)
Differentiating functions defined implicitly
97(7)
Parametric equations
104(4)
Parametric differentiation
108(9)
Chapter 5 Integration
117(19)
Integrals involving the exponential function
117(1)
Integrals involving the natural logarithm function
117(7)
Integrals involving trigonometrical functions
124(4)
Numerical integration
128(8)
Chapter 6 Numerical solution of equations
136(17)
Interval estimation -- change-of-sign methods
137(5)
Fixed-point iteration
142(11)
P3 Pure Mathematics 3
153(156)
Chapter 7 Further algebra
154(23)
The general binomial expansion
155(9)
Review of algebraic fractions
164(2)
Partial fractions
166(7)
Using partial fractions with the binomial expansion
173(4)
Chapter 8 Further integration
177(31)
Integration by substitution
178(5)
Integrals involving exponentials and natural logarithms
183(4)
Integrals involving trigonometrical functions
187(3)
The use of partial fractions in integration
190(4)
Integration by parts
194(10)
General integration
204(4)
Chapter 9 Differential equations
208(19)
Forming differential equations from rates of change
209(5)
Solving differential equations
214(13)
Chapter 10 Vectors
227(44)
The vector equation of a line
227(7)
The intersection of two lines
234(6)
The angle between two lines
240(4)
The perpendicular distance from a point to a line
244(3)
The vector equation of a plane
247(5)
The intersection of a line and a plane
252(2)
The distance of a point from a plane
254(2)
The angle between a line and a plane
256(6)
The intersection of two planes
262(9)
Chapter 11 Complex numbers
271(38)
The growth of the number system
271(2)
Working with complex numbers
273(8)
Representing complex numbers geometrically
281(3)
Sets of points in an Argand diagram
284(3)
The modulus-argument form of complex numbers
287(6)
Sets of points using the polar form
293(3)
Working with complex numbers in polar form
296(3)
Complex exponents
299(3)
Complex numbers and equations
302(7)
Answers 309(32)
Index 341