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拉格朗日及汉密尔敦力学:习题及解答LAGRANGIAN AND HAMILTONIAN MECHANICS

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}b3|xD-A F9K0拉格朗日及汉密尔敦力学:习题及解答LAGRANGIAN AND HAMILTONIAN MECHANICS水利图书x,R(~}+}bc9d

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作  者: M. G. Calkin  著水利图书9]TZ;Kv S0t

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出 版 社: 东南大学出版社

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出版时间: 1999-12-1

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字  数:

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版  次: 1

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W{ |-^In)Q@0页  数: 230

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印刷时间: 1999-12-1

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开  本:

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印  次: 1水利图书:bF)y"E$l

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纸  张: 胶版纸

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SN9A'Qv1`/YJ;U2n3BNQ0I S B N : 9789810237820

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包  装: 精装

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}#d]Qf.E^0所属分类: 图书 >> 进口原版书 >> 科学与技术 Science & Techology

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内容简介

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This book contains the exercises from the intermediate/advanced classical mechanics text Lagrangian and Hamiltonian Mechanics (World Scientific Pub. Co. Pte. Ltd., Singapore, 1996) together with their complete solutions. In a few of the exercises I have seen fit to make minor changes in the wording; these are marked by asterisks. Also, I have not included the f'mal Exercise 10-5, which is really an open-ended mini research project.

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The present work is intended primarily for instructors who are using Lagrangian and Hamiltonian Mechanics in their course. It is hoped that it will assist them in choosing suitable assignments for their students, and that it will occasionally provide new insights. Instructors may also wish to photocopy and post the solutions to those exercises with which their students have had particular difficulty.水利图书v1ZF+XJk2g

7BI~3k~ [l0This book may also be used, together with Lagrangian and Hamiltonian Mechanics, by those who are studying mechanics on their own. In this case I strongly urge the individuals to make serious efforts to work out a substantial number of the水利图书4q2W&h w }C3c}

1b*@ k%K a D1[K0relevant exercises on completing their study of each chapter and before looking at what I have written here. Only in this way will such individuals come face to face with, and hopefully overcome, the various difficulties which the exercises present. Exercises, whether mental or physical, are meant to be done, not read about!水利图书Ct!x/t~:O"q

6Q-O+v%a(bX0目录水利图书/?^0|:r"CK

)q4c|&`3_5K,B)c*oz(z0Preface

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y;\4z8J)N2m0CHAPTER Ⅰ NEWTON'S LAWS水利图书 ib9RdlUj!x

ZO+Q'G} bV,Gp n0Exercise 1.01

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"hHQXaY0Exercise 1.02

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Exercise 1.03

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Exercise 1.04水利图书 n8MQ.PkS P

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Exercise 1.05水利图书%N#~1K(sJ$V5]{

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Exercise 1.06水利图书X ^(Q(b\(vUB

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Exercise 1.07

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7FUn:Z.i3Q7e5Ru9?bx0Exercise 1.08

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{HRn/bvi0Exercise 1.09

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{"[*M9`wx3R I dA9M0Exercise 1.10

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Exercise 1.11

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+o:Jv rf6Z0Exercise 1.12

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Exercise 1.13水利图书.wa(Kw|h#M8H

mBIM&] P{0Exercise 1.14

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Exercise 1.15水利图书5OiqJ'Z_g-tZ

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Exercise 1.16

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Exercise 1.17水利图书Hz0QY)ZrF:y.fU

ED.T6]'@I]F0Exercise 1.18水利图书zc8s&j {/rS(J

}7qQw.Ir3y-`0CHAPTER Ⅱ THE PRINCIPLE OF VIRTUAL WORK AND D'ALEMBERT' S PRINCIPLE

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#nC0r P UC:D0Exercise 2.01

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Exercise 2.02水利图书/SD H'Bs|[7HG#O

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Exercise 2.03

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%ru'q` T"AJ0]7q"S V8h0Exercise 2.04水利图书 ir B'g"]+b?0Y8d

2Z+WnN d0Exercise 2.05水利图书'@%W._.KSA,@

*oP_.{X3h$R0Exercise 2.06

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Exercise 2.07

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){1B:bC%y0Exercise 2.08

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Exercise 2.09

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Exericse 2.10水利图书)\D [;_uc ?5I:NCo

#K\CU-c;s0CHAPTER Ⅲ LAGRANGE'S EQUATIONS

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2P1Rz^'x0Exercise 3.01

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A6V G!I)t+P_0Exercise 3.02水利图书$PJ9\v&w

i6N"M yGH?0Exercise 3.03水利图书:Q/PL3wvG,k]4i!dP

K:Ze4[ Bv(ST'TM8{0Exercise 3.04水利图书:I+x f h)qV._h

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Exercise 3.05水利图书6yv6g[_^"QHR&Vu

[-R PE5@/XbTz}0Exercise 3.06水利图书 yS&a"Q.Io'b

~iXI[ sl#|0Exercise 3.07

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H/sOD`"XR0Exercise 3.08

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jq0l6k\s ^]0Exercise 3.09

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Exercise 3.10

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T&YM4he0Exercise 3.11

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Exercise 3.12

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Exercise 3.13水利图书TX$n XI"Y"U3g3Q:V8k]

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Exercise 3.14

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Exercise 3.15

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0r4Q:_rKk0CHAPTER Ⅳ THE PRINCIPLE OF STATIONARY ACTION OR HAMILTON'S PRINCIPLE水利图书U Ni"nY!M DX

ws-Sk7hdd0Exercise 4.01水利图书 v ^C(C5ImzQ-U&v

*?&@K5_Mv&j/?!v"z0Exercise 4.02

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!J N{HWU#O"A Z_}D0Exercise 4.03

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D9H"z;w^~(CW%Y0Exercise 4.04水利图书5W)O/S:Z9K O"m

`~o\ X By1t0Exercise 4.05水利图书c-@/g'g T?s.CKl8a

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Exercise 4.06水利图书(Tl,S8y&`u9`d2p

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Exercise 4.07水利图书 q2~`,Q%z*I;r

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Exercise 4.08水利图书 _.p?!@-T8Rh

niz [;S$R` u4bF0Exercise 4.09水利图书YJ&_D.?"x'g

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Exercise 4.10

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r4y3t/U6CM0Exercise 4.11

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Exercise 4.12水利图书A:s@b9KCP.Nw

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CHAPTER Ⅴ INVARIANCE TRANSFORMATIONS AND CONSTANTS OF THE MOTION水利图书 {8a(S|c'wKC ^

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CHAPTER Ⅵ HAMILTON'S EQUATIONS

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J ciP&?QZ`0CHAPTER Ⅶ CANONICAL TRANSFORMATIONS

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)s W:w9PFXK{0CHAPTER Ⅷ HAMILTON-JACOBI THEORY水利图书%G$^+S6lS"X Vt^

],tW9m2],jN0CHAPTER Ⅸ ACTION-ANGLE VARIABLES

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CHAPTER Ⅹ NON-INTEGRABLE SYSTEMS水利图书|d Z1ND

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