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运动中的抛射物数学(英文)

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作者(澳)内维尔·德·梅斯特雷

出版社哈尔滨工业大学出版社

ISBN9787560391571

出版时间2020-10

装帧平装

开本16开

定价38元

货号1202302351

上书时间2024-06-28

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商品描述: 目录
PREFACE

1.MOTION UNDER GRAVITY ALONE

1.1 Gravity

1.2 Velocity and Position Vectors

1.3 Point of Impact

1.4 The Vertex of the Trajectory

1.5 Projection from a Different Level

1.6 Inclined Plane

1.7 Enveloping Parabola

1.8 Dimensionless Equations

1.9 Exercises

2.MOTION IN A LINEAR RESISTING MEDIUM

2.1 Velocity and Position Vectors

2.2 Maximum Height

2.3 Impact Time to the Horizontal Plane

2.4 Range on the Horizontal Plane

2.5 Envelopes

2.6 Inclined Planes

2.7 Curve of Safety

2.8 Exercises

3.MOTION IN A NON-LINEAR RESISTING MEDIUM

3.1 Non-linear Drag

3.2 Cartesian Equations for Power-law Drag

3.3 Acceleration Components

3.4 Power-law Solution

3.5 Applications of the Power-law Solution

3.6 Other Non-linear Drag Functions

3.7 Exercises

4.THE BASIC EQUATIONS AND THEIR NUMERICAL SOLUTION

4.1 The Basic Equations

4.2 Ballistic Table Computations

4.3 Simple Application

4.4 Range Tables

4.5 Variations within the Basic Equations

4.6 Graphical Technique

4.7 Exercises

5.SMALL DRAG OR SMALL GRAVITY

5.1 Perturbation Techniques

5.2 Gravity or Drag Perturbations

5.3 Exercises

6.CORRECTIONS DUE TO OTHER EFFECTS

6.1 Effects Other Than Constant Gravity and Variable Drag

6.2 Coriolis Corrections

6.3 Gravity Corrections

6.4 Density,Temperature,Pressure and Humidity Variations

6.5 Lift and Sideways Aerodynamic Corrections

6.6 Wind Corrections

6.7 Overturning Moment

6.8 Differential Corrections

6.9 Exercises

7.SPIN EFFECTS

7.1 Overcoming Yaw

7.2 Spin Stabilisation of Shells

7.3 Spinning Spheres

7.4 Fluid Dynamics

7.5 The Magnus Effect

7.6 The Swing of a Cricket Ball

7.7 Spinning Seeds

7.8 The Equations of Motion for a Spinning Shell

7.9 Exercises

8.PROJECTILES IN SPORT AND RECREATION

8.1 Classes of Projectiles

8.2 Drag-to-weight Ratio

8.3 Shot-put and Hammer Throw

8.4 Basketball

8.5 Tennis,Table Tennis and Squash

8.6 Badminton

8.7 Golf

8.8 Cricket

8.9 Baseball

8.10 Soccer

8.11 Rugby and Australian Rules Football

8.12 Javelin

8.13 Discus,Frisbee and Flying Ring

8.14 Long Jump,High Jump and Ski Jump

8.15 Boomerangs

8.16 Water Jets

8.17 Cars and Cycles

8.18 Seed Dispersal

8.19 The Longest Throw or Kick

8.20 Exercises

REFERENCES

INDEX

编辑手记

内容摘要
《运动中的抛射物数学（英文）》共八章，前七章介绍了弹丸运动中所需要的数学原理，并用数学知识解决了弹丸运动中遇到的问题。第八章对体育和娱乐中涉及的数学知识进行了调查，通过各种游戏中球的运动、飞盘运动、滑雪跳跃运动等详细讨论了所涉及的数学理论，很后还给出这些问题的研究现状。《运动中的抛射物数学（英文）》还从粒子在恒定重力下的运动入手，讨论了许多修正（如阻力、科里奥利力、空气动力、自旋效应）的结果。该书的前几章可以很好地为本科生提供有趣问题的来源，后面的章节和参考文献可以为研究生或教师提供相关的研究资料。

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