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Cambridge International AS & A Level Mathematics: Mechanics Coursebook [Minkštas viršelis]

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  • Formatas: Paperback / softback, 246 pages, aukštis x plotis x storis: 276x220x11 mm, weight: 640 g, Worked examples or Exercises
  • Išleidimo metai: 22-Mar-2018
  • Leidėjas: Cambridge University Press
  • ISBN-10: 1108407269
  • ISBN-13: 9781108407267
Kitos knygos pagal šią temą:
Cambridge International AS & A Level Mathematics: Mechanics CoursebookDidesnis paveikslėlis
  • Formatas: Paperback / softback, 246 pages, aukštis x plotis x storis: 276x220x11 mm, weight: 640 g, Worked examples or Exercises
  • Išleidimo metai: 22-Mar-2018
  • Leidėjas: Cambridge University Press
  • ISBN-10: 1108407269
  • ISBN-13: 9781108407267
Kitos knygos pagal šią temą:
Pastovi nuoroda: https://www.kriso.lt/db/9781108407267.html
Raktažodžiai:
Cambridge International AS & A Level Mathematics: Mechanics matches the corresponding unit of the syllabus, with clear and logical progression through. It contains materials on topics such as velocity and acceleration, force and motion, friction, connected particles, motion in a straight line, momentum, and work and energy. This coursebook contains a variety of features including recap sections for students to check their prior knowledge, detailed explanations and worked examples, end-of-chapter and cross-topic review exercises and 'Explore' tasks to encourage deeper thinking around mathematical concepts. Answers to coursebook questions are at the back of the book.

This series has been developed specifically for the Cambridge International AS & A Level Mathematics (9709) syllabus to be examined from 2020. Cambridge International AS & A Level Mathematics: Mechanics matches the corresponding unit of the syllabus, with clear and logical progression through. It contains materials on topics such as velocity and acceleration, force and motion, friction, connected particles, motion in a straight line, momentum, and work and energy. This coursebook contains a variety of features including recap sections for students to check their prior knowledge, detailed explanations and worked examples, end-of-chapter and cross-topic review exercises and 'Explore' tasks to encourage deeper thinking around mathematical concepts. Answers to coursebook questions are at the back of the book.

Daugiau informacijos

This series has been developed specifically for the Cambridge International AS & A Level Mathematics (9709) syllabus to be examined from 2020.
Series introduction vi
How to use this book viii
Acknowledgements x
1 Velocity and acceleration
1(34)
1.1 Displacement and velocity
2(7)
1.2 Acceleration
9(2)
1.3 Equations of constant acceleration
11(4)
1.4 Displacement-time graphs and multi-stage problems
15(7)
1.5 Velocity-time graphs and multi-stage problems
22(5)
1.6 Graphs with discontinuities
27(4)
End-of-chapter review exercise 1
31(4)
2 Force and motion in one dimension
35(18)
2.1 Newton's first law and relation between force and acceleration
36(3)
2.2 Combinations of forces
39(3)
2.3 Weight and motion due to gravity
42(5)
2.4 Normal contact force and motion in a vertical line
47(4)
End-of-chapter review exercise 2
51(2)
3 Forces in two dimensions
53(27)
3.1 Resolving forces in horizontal and vertical directions in equilibrium problems
54(5)
3.2 Resolving forces at other angles in equilibrium problems
59(3)
3.3 The triangle of forces and Lami's theorem for three-force equilibrium problems
62(4)
3.4 Non-equilibrium problems for objects on slopes and known directions of acceleration
66(5)
3.5 Non-equilibrium problems and finding resultant forces and directions of acceleration
71(6)
End-of-chapter review exercise 3
77(3)
Cross-topic review exercise 1
80(75)
4 Friction
82(26)
4.1 Friction as part of the contact force
83(7)
4.2 Limit of friction
90(5)
4.3 Change of direction of friction in different stages of motion
95(5)
04.4 Angle of friction
100(5)
End-of-chapter review exercise 4
105(3)
5 Connected particles
108(20)
5.1 Newton's third law
109(1)
5.2 Objects connected by rods
110(4)
5.3 Objects connected by strings
114(7)
5.4 Objects in moving lifts (elevators)
121(4)
End-of-chapter review exercise 5
125(3)
6 General motion in a straight line
128(27)
6.1 Velocity as the derivative of displacement with respect to time
130(4)
6.2 Acceleration as the derivative of velocity with respect to time
134(5)
6.3 Displacement as the integral of velocity with respect to time
139(9)
6.4 Velocity as the integral of acceleration with respect to time
148(5)
End-of-chapter review exercise 6
153(2)
Cross-topic review exercise 2
155(53)
7 Momentum
157(12)
7.1 Momentum
159(2)
7.2 Collisions and conservation of momentum
161(6)
End-of-chapter review exercise 7
167(2)
8 Work and energy
169(16)
8.1 Work done by a force
171(6)
8.2 Kinetic energy
177(2)
8.3 Gravitational potential energy
179(4)
End-of-chapter review exercise 8
183(2)
9 The work-energy principle and power
185(23)
9.1 The work-energy principle
186(7)
9.2 Conservation of energy in a system of conservative forces
193(3)
9.3 Conservation of energy in a system with non-conservative forces
196(5)
9.4 Power
201(5)
End-of-chapter review exercise 9
206(2)
Cross-topic review exercise 3
208(2)
Practice exam-style paper 210(2)
Answers 212(20)
Glossary 232(2)
Index 234