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運(yùn)動(dòng)中的拋射物數(shù)學(xué)(英文)

運(yùn)動(dòng)中的拋射物數(shù)學(xué)(英文)

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作 者: [澳] 內(nèi)維爾·德·梅斯特雷(Neville,de,Mestre) 著
出版社: 哈爾濱工業(yè)大學(xué)出版社
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標(biāo) 簽: 暫缺

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ISBN: 9787560391571 出版時(shí)間: 2020-10-01 包裝: 平裝
開(kāi)本: 16開(kāi) 頁(yè)數(shù): 189 字?jǐn)?shù):  

內(nèi)容簡(jiǎn)介

  《運(yùn)動(dòng)中的拋射物數(shù)學(xué)(英文)》共八章,前七章介紹了彈丸運(yùn)動(dòng)中所需要的數(shù)學(xué)原理,并用數(shù)學(xué)知識(shí)解決了彈丸運(yùn)動(dòng)中遇到的問(wèn)題。第八章對(duì)體育和娛樂(lè)中涉及的數(shù)學(xué)知識(shí)進(jìn)行了調(diào)查,通過(guò)各種游戲中球的運(yùn)動(dòng)、飛盤(pán)運(yùn)動(dòng)、滑雪跳躍運(yùn)動(dòng)等詳細(xì)討論了所涉及的數(shù)學(xué)理論,最后還給出這些問(wèn)題的研究現(xiàn)狀。《運(yùn)動(dòng)中的拋射物數(shù)學(xué)(英文)》還從粒子在恒定重力下的運(yùn)動(dòng)入手,討論了許多修正(如阻力、科里奧利力、空氣動(dòng)力、自旋效應(yīng))的結(jié)果。該書(shū)的前幾章可以很好地為本科生提供有趣問(wèn)題的來(lái)源,后面的章節(jié)和參考文獻(xiàn)可以為研究生或教師提供相關(guān)的研究資料。

作者簡(jiǎn)介

暫缺《運(yùn)動(dòng)中的拋射物數(shù)學(xué)(英文)》作者簡(jiǎn)介

圖書(shū)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

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