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運動中的拋射物數學:英文 版權信息
- ISBN：9787560391571
- 條形碼：9787560391571 ; 978-7-5603-9157-1
- 裝幀：一般膠版紙
- 冊數：暫無
- 重量：暫無
- 所屬分類：>>
運動中的拋射物數學:英文 內容簡介
《運動中的拋射物數學（英文）》共八章，前七章介紹了彈丸運動中所需要的數學原理，并用數學知識解決了彈丸運動中遇到的問題。第八章對體育和娛樂中涉及的數學知識進行了調查，通過各種游戲中球的運動、飛盤運動、滑雪跳躍運動等詳細討論了所涉及的數學理論，*后還給出這些問題的研究現狀。《運動中的拋射物數學（英文）》還從粒子在恒定重力下的運動入手，討論了許多修正（如阻力、科里奧利力、空氣動力、自旋效應）的結果。該書的前幾章可以很好地為本科生提供有趣問題的來源，后面的章節和參考文獻可以為研究生或教師提供相關的研究資料。
運動中的拋射物數學:英文 目錄
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
編輯手記
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
編輯手記
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