振动与波:概论(第二版)

振动与波:概论(第二版)
作 者: 理查德·菲茨帕特里克
出版社: 哈尔滨工业大学出版社
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作者简介

暂缺《振动与波:概论(第二版)》作者简介

内容简介

本书的目标是发展一个关于振动和波的统一的数学理论。例子来自离散机械系统的物理学,连续的气体、流体和弹性固体,电子电路,电磁波,光学系统,最后是量子力学系统。假设本书的读者对物理定律有基本的了解,比如他们可能是从标准的两学期的介绍性大学水平的调查课程中获得了相关知识。我们还假定读者熟悉大学水平的数学知识,包括代数、三角学、线性代数、常微分方程和偏微分方程。本书的一个不同寻常的特征是对振动和波的传统复表示的介绍被推迟到了绝对必要时(在讨论量子力学波时)。这样安排的原因是,尽管振动和波的复表示极大地方便了计算,但它(至少在最初)是发展对此类现象的物理理解的重大障碍。作者认为,在尝试使用更方便、更抽象、更复杂的表示之前,学生应该先彻底地理解如何用正则三角函数来表示振动和波。本书只讨论控制微分方程是线性的那一类振动和波。在大多数物理系统中,这意味着对相对低幅度现象的限制。作者抵制住了讨论非线性振动和波的诱惑,主要是因为这种现象需要用一种与描述线性振动和波完全不同的数学分析来讨论,而本书的重点是主题的数学统一性。

图书目录

PrefaceCHAPTER

Simple

Harmonic

Oscillation1.1

Introduction1.2

Mass

on

Spring1.3

Simple

Harmonic

Oscillator

Equation1.4

LC

Circuit1.5

Simple

Pendulum1.6

Compound

PendulumExercisesCHAPTER

Damped

and

Driven

Harmonic

Oscillation2.1

Introduction2.2

Damped

Harmonic

Oscillation2.3

Quality

Factor2.4

LCR

Circuit2.5

Driven

Damped

Harmonic

Oscillation2.6

Driven

LCR

Circuit2.7

Transient

Oscillator

ResponseExercisesCHAPTER

Coupled

Oscillations3.1

Introduction3.2

Two

Spring-Coupled

Masses3.3

Two

Coupled

LC

Circuits3.4

Three

Spring-Coupled

MassesExercisesCHAPTER

Transverse

Standing

Waves4.1

Introduction4.2

Normal

Modes

of

Beaded

String4.3

Normal

Modes

of

Uniform

String4.4

General

Time

Evolution

of

Uniform

StringExercisesCHAPTER

Longitudinal

Standing

Waves5.1

Introduction5.2

Spring-Coupled

Masses5.3

Longitudinal

Waves

on

Thin

Elastic

Rod5.4

Sound

Waves

in

Ideal

Gas5.5

Fourier

AnalysisExercisesCHAPTER6

Traveling

Waves6.1

Introduction6.2

Standing

Waves

in

Finite

Continuous

Medium6.3

Traveling

Waves

in

Infinite

Continuous

Medium6.4

Wave

Interference6.5

Energy

Conservation6.6

Transmission

Lines6.7

Normal

Reflection

and

Transmission

at

Interfaces6.8

Electromagnetic

Waves6.9

Doppler

Effect6.10

Wave

Propagation

in

Inhomogeneous

MediaExercisesCHAPTER

Multi-Dimensional

Waves7.1

Introduction7.2

Plane

Waves7.3

Three-Dimensional

Wave

Equation7.4

Cylindrical

Waves7.5

Spherical

Waves7.6

Oscillation

of

an

Elastic

Sheet7.7

Polarization

of

Electromagnetic

Waves7.8

Laws

of

Geometric

Optics7.9

Fresnel

Relations7.10

Total

Internal

Reflection7.11

Birefringence7.12

Sound

Waves

in

FluidsExercisesCHAPTER

Wave

Pulses8.

l

Introduction8.2

Fourier

Transforms8.3

Dirac

Delta

Function8.4

General

Solution

of

Wave

Equation8.5

Bandwidth8.6

Bandwidth

TheoremExercisesCHAPTER

Dispersive

Waves9.1

Introduction9.2

Pulse

Propagation9.3

Electromagnetic

Waves

in

Unmagnetized

Plasmas9.4

Faraday

Rotation95

Electromagnetic

Waves

in

Magnetized

Plasmas9.6

Low-Frequency

EM

Waves

in

Magnetized

Plasmas9.7

Parallel

EM

Waves

in

Magnetized

Plasmas9.8

Perpendicular

EM

Waves

in

Magnetized

Plasmas9.9

Electromagnetic

Waves

in

Conductors9.10

Waveguides9.11

Pulse

Propagation

in

Two

Dimensions9.12

Giavity

Waves9.13

Wave

Drag

on

Ships9.14

Ship

Wakes9.15

Capillary

WavesExercisesCHAPTER

Wave

Optics10.1

Introduction10.2

Two-Slit

Interference10.3

Coherence10.4

Multi-Slit

Interference10.5

Thin-Film

Interference10.6

One-Dimensional

Fourier

Optics10.7

Single-Slit

Diffraction10.8

Multi-Slit

Diffraction10.9

Two-Dimensional

Fourier

Optics10.10

Huygens-Fresnel

Principle10.11

Babinet's

Principle10.12

Diffraction

from

Rectangular

Aperture10.13

Diffraction

from

Straight

Edge10.14

Diffraction

from

Rectangular

Slit10.15

Diffraction

from

Straight

Wire10.16

Diffraction

from

Circular

Aperture10.17

Diffraction

from

Circular

DiskExercisesCHAPTER

Wave

Mechanicsll.l

Introduction11.2

Photoelectric

Effect11.3

Electron

Diffraction11.4

Representation

of

Waves

via

Complex

Numbers11.5

Schrtidinger's

Equation11.6

Probability

Interpretation

of

Wavefunction11.7

Wave

Packets11.8

Heisenberg's

Uncertainty

Principle11.9

Wavefunction

Collapse11.10

Stationary

States11.11

Particle

in

Finite

Square

Potential

Well11.12

Square

Potential

Barrier11.13

WKB

Approximation11.14

Cold

Emission11.15

Alpha

Decay11.16

Three-Dimensional

Wave

Mechanics11.17

Particle

in

Box11.18

Degenerate

Electron

Gas11.19

White-Dwarf

StarExercisesBibliographyIndex编辑手记