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首页物理學基础:精确解析与重要定理概览
物理學基础:精确解析与重要定理概览
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《物理學基礎9E》是一本详尽探讨物理学原理的教材,它涵盖了广泛的主题,从代数学中的二次公式和二项式定理到向量的乘积、三角函数和恒等式。书中深入浅出地解释了许多日常生活和科学研究中常见的现象。 章节“二次公式”介绍了求解形如ax^2 + bx + c = 0的方程的方法,它是理解多项式运算的基础。通过这个公式,可以轻松找出根的值,这对于解析问题和优化模型至关重要。 “向量乘积”部分讨论了如何计算两个向量之间的角度以及它们的积,这个概念在物理学中的力和运动分析中极为重要。作者用向量的模长、夹角和余弦定理来表述这一运算,帮助读者理解空间向量的交互作用。 “三角函数恒等式”列出了一系列常见的三角函数关系,如正弦和余弦的倍角公式以及它们与平方的关系。这些恒等式在解决三角问题、周期性现象和信号处理等领域都有广泛应用。 接下来,书中的“导数与积分”章节讲解了微积分的基本概念,包括Cramer's Rule(克拉默法则),它提供了解决线性方程组的快捷方法。同时,书中还给出了常见函数的导数和积分表达式,如幂函数、二次函数等,这些都是微积分的核心内容,对理解物理中的变化率和累积效应至关重要。 “SIPrefixes”这部分可能是指科学记数法中的前缀,如yotta代表10^24,deci代表10^-1,这些对于表示和理解极小或极大的物理量具有实际意义。 总而言之,《物理學基礎9E》是一本全面且深入的教科书,适合学习者系统地掌握物理学基础知识,无论是为了学术研究还是工程实践,都能从中受益匪浅。从代数到几何,再到微积分,每部分知识都紧密相连,构成了物理学知识体系的坚实基础。
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xiv
CONTENTS
37-2 The Postulates 1023
37-3 Measuring an Event 1024
37-4 The Relativity of Simultaneity 1025
37-5 The Relativity of Time 1027
37-6 The Relativity of Length 1031
37-7 The Lorentz Transformation 1035
37-8 Some Consequences of the Lorentz Equations 1037
37-9 The Relativity of Velocities 1039
37-10 Doppler Effect for Light 1040
37-11 A New Look at Momentum 1042
37-12 A New Look at Energy 1043
REVIEW & SUMMARY 1048 QUESTIONS 1049 PROBLEMS 1050
38 PHOTONS AND MATTER WAVES 1057
38-1 What Is Physics? 1057
38-2 The Photon, the Quantum of Light 1057
38-3 The Photoelectric Effect 1059
38-4 Photons Have Momentum 1062
38-5 Light as a Probability Wave 1065
38-6 Electrons and Matter Waves 1067
38-7 Schrödinger’s Equation 1071
38-8 Heisenberg’s Uncertainty Principle 1073
38-9 Barrier Tunneling 1074
REVIEW & SUMMARY 1077 QUESTIONS 1077 PROBLEMS 1078
39 MORE ABOUT MATTER WAVES 1083
39-1 What Is Physics? 1083
39-2 String Waves and Matter Waves 1083
39-3 Energies of a Trapped Electron 1084
39-4 Wave Functions of a Trapped Electron 1088
39-5 An Electron in a Finite Well 1091
39-6 More Electron Traps 1093
39-7 Two- and Three-Dimensional Electron Traps 1095
39-8 The Bohr Model of the Hydrogen Atom 1096
39-9 Schrödinger’s Equation and the Hydrogen Atom 1099
REVIEW & SUMMARY 1106 QUESTIONS 1107 PROBLEMS 1108
40 ALL ABOUT ATOMS 1112
40-1 What Is Physics? 1112
40-2 Some Properties of Atoms 1112
40-3 Electron Spin 1115
40-4 Angular Momenta and Magnetic Dipole Moments 1115
40-5 The Stern–Gerlach Experiment 1118
40-6 Magnetic Resonance 1120
40-7 The Pauli Exclusion Principle 1121
40-8 Multiple Electrons in Rectangular Traps 1121
40-9 Building the Periodic Table 1124
40-10 X Rays and the Ordering of the Elements 1127
40-11 Lasers and Laser Light 1131
40-12 How Lasers Work 1132
REVIEW & SUMMARY 1135 QUESTIONS 1136 PROBLEMS 1137
41 CONDUCTION OF ELECTRICITY
IN SOLIDS 1142
41-1 What Is Physics? 1142
41-2 The Electrical Properties of Solids 1142
41-3 Energy Levels in a Crystalline Solid 1143
41-4 Insulators 1144
41-5 Metals 1145
41-6 Semiconductors 1150
41-7 Doped Semiconductors 1152
41-8 The p-n Junction 1154
41-9 The Junction Rectifier 1156
41-10 The Light-Emitting Diode (LED) 1157
41-11 The Transistor 1159
REVIEW & SUMMARY 1160 QUESTIONS 1161 PROBLEMS 1162
42 NUCLEAR PHYSICS 1165
42-1 What Is Physics? 1165
42-2 Discovering the Nucleus 1165
42-3 Some Nuclear Properties 1168
42-4 Radioactive Decay 1174
42-5 Alpha Decay 1177
42-6 Beta Decay 1180
42-7 Radioactive Dating 1183
42-8 Measuring Radiation Dosage 1184
42-9 Nuclear Models 1184
REVIEW & SUMMARY 1187 QUESTIONS 1188 PROBLEMS 1189
43 ENERGY FROM THE NUCLEUS 1195
43-1 What Is Physics? 1195
43-2 Nuclear Fission: The Basic Process 1196
43-3 A Model for Nuclear Fission 1199
43-4 The Nuclear Reactor 1202
43-5 A Natural Nuclear Reactor 1206
43-6 Thermonuclear Fusion: The Basic Process 1207
43-7 Thermonuclear Fusion in the Sun and Other Stars 1209
43-8 Controlled Thermonuclear Fusion 1211
REVIEW & SUMMARY 1213 QUESTIONS 1213 PROBLEMS 1214
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xv
CONTENTS
44 QUARKS, LEPTONS, AND
THE BIG BANG 1218
44-1 What Is Physics? 1218
44-2 Particles, Particles, Particles 1219
44-3 An Interlude 1222
44-4 The Leptons 1227
44-5 The Hadrons 1228
44-6 Still Another Conservation Law 1230
44-7 The Eightfold Way 1231
44-8 The Quark Model 1232
44-9 The Basic Forces and Messenger Particles 1235
44-10 A Pause for Reflection 1237
44-11 The Universe Is Expanding 1238
44-12 The Cosmic Background Radiation 1239
44-13 Dark Matter 1240
44-14 The Big Bang 1240
44-15 A Summing Up 1243
REVIEW & SUMMARY 1244 QUESTIONS 1244 PROBLEMS 1245
APPENDICES
A The International System of Units (SI) A-1
B Some Fundamental Constants of Physics A-3
C Some Astronomical Data A-4
D Conversion Factors A-5
E Mathematical Formulas A-9
F Properties of the Elements A-12
G Periodic Table of the Elements A-15
ANSWERS
to Checkpoints and Odd-Numbered Questions and Problems AN-1
INDEX I-1
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PREFACE
WHY I WROTE THIS BOOK
Fun with a big challenge.That is how I have regarded physics since the day when Sharon, one of the
students in a class I taught as a graduate student, suddenly demanded of me, “What has any of this
got to do with my life?” Of course I immediately responded, “Sharon, this has everything to do with
your life—this is physics.”
She asked me for an example. I thought and thought but could not come up with a single one.That
night I began writing the book The Flying Circus of Physics (John Wiley & Sons Inc., 1975) for
Sharon but also for me because I realized her complaint was mine. I had spent six years slugging my
way through many dozens of physics textbooks that were carefully written with the best of pedagog-
ical plans, but there was something missing. Physics is the most interesting subject in the world
because it is about how the world works, and yet the textbooks had been thoroughly wrung of any
connection with the real world. The fun was missing.
I have packed a lot of real-world physics into this HRW book, connecting it with the new edition
of The Flying Circus of Physics.Much of the material comes from the HRW classes I teach,where I
can judge from the faces and blunt comments what material and presentations work and what do
not. The notes I make on my successes and failures there help form the basis of this book. My mes-
sage here is the same as I had with every student I’ve met since Sharon so long ago: “Yes, you can
reason from basic physics concepts all the way to valid conclusions about the real world, and that
understanding of the real world is where the fun is.”
I have many goals in writing this book but the overriding one is to provide instructors with tools
by which they can teach students how to effectively read scientific material, identify fundamental
concepts, reason through scientific questions, and solve quantitative problems. This process is not
easy for either students or instructors. Indeed, the course associated with this book may be one of
the most challenging of all the courses taken by a student. However, it can also be one of the most
rewarding because it reveals the world’s fundamental clockwork from which all scientific and engi-
neering applications spring.
Many users of the eighth edition (both instructors and students) sent in comments and suggestions
to improve the book.These improvements are now incorporated into the narrative and problems
throughout the book. The publisher John Wiley & Sons and I regard the book as an ongoing project
and encourage more input from users. You can send suggestions, corrections, and positive or negative
comments to John Wiley & Sons or Jearl Walker (mail address: Physics Department, Cleveland State
University, Cleveland, OH 44115 USA; or email address: physics@wiley.com; or the blog site at
www.flyingcircusofphysics. com). We may not be able to respond to all suggestions, but we keep and
study each of them.
LEARNINGS TOOLS
Because today’s students have a wide range of learning styles, I
have produced a wide range of learning tools, both in this new edi-
tion and online in WileyPLUS:
ANIMATIONS of one of the key figures in each chapter.
Here in the book, those figures are flagged with the
swirling icon. In the online chapter in WileyPLUS,a mouse click
begins the animation. I have chosen the figures that are rich in
information so that a student can see the physics in action and
played out over a minute or two instead of just being flat on a
printed page. Not only does this give life to the physics, but the ani-
mation can be repeated as many times as a student wants.
VIDEOS I have made well over 1000 instructional
videos, with more coming each semester. Students can
watch me draw or type on the screen as they hear me talk about a
solution, tutorial, sample problem, or review, very much as they
xvii
Animation
A
halliday_fm_extended_hr1.qxd 26-01-2010 13:11 Page xvii
would experience were they sitting next to me in my office
while I worked out something on a notepad. An instruc-
tor’s lectures and tutoring will always be the most valuable
learning tools, but my videos are available 24 hours a day,
7 days a week, and can be repeated indefinitely.
• Video tutorials on subjects in the chapters. I chose the
subjects that challenge the students the most, the ones that
my students scratch their heads about.
• Video reviews of high school
math, such as basic algebraic manip-
ulations, trig functions, and simulta-
neous equations.
• Video introductions to math, such as vector multiplication, that will be new
to the students.
• Video presentations of every Sample Problem in the textbook chapters
(both 8e and 9e). My intent is to work out the physics, starting with the Key
Ideas instead of just grabbing a formula. However, I also want to demonstrate
how to read a sample problem, that is, how to read technical material to learn
problem-solving procedures that can be transferred to other types of problems.
• Video solutions to 20% of the end-of chapter problems. The availability and
timing of these solutions are controlled by the instructor. For example, they
might be available after a homework deadline or a quiz. Each solution is not
simply a plug-and-chug recipe. Rather I build a solution from the Key Ideas to
the first step of reasoning and to a final solution. The student learns not just
how to solve a particular problem but how to tackle any problem, even those
that require physics courage.
• Video examples of how to read data from graphs (more than simply read-
ing off a number with no comprehension of the physics).
READING MATERIAL I have written a large number of reading
resources for WileyPLUS.
• Every sample problem in the textbook (both 8e and 9e) is available online
in both reading and video formats.
• Hundreds of additional sample problems. These are available as stand-
alone resources but (at the discretion of the instructor) they are also linked
out of the homework problems. So, if a homework problem deals with, say,
forces on a block on a ramp, a link to a related sample problem is provided.
However, the sample problem is not just a replica of the homework problem
and thus does not provide a solution that can be merely duplicated without
comprehension.
• GO Tutorials for 10% of the end-of-chapter homework problems. In
multiple steps, I lead a student through a homework problem, starting
with the Key Ideas and giving hints when wrong answers are submitted.
However, I purposely leave the last step (for the final answer) to the student
so that they are responsible at the end. Some online tutorial systems trap a student when wrong
answers are given, which can generate a lot of frustration. My GO Tutorials are not traps, because at
any step along the way, a student can return to the main problem.
• Hints on every end-of-chapter homework problem are available online (at the discretion of the
instructor). I wrote these as true hints about the main ideas and the general procedure for a solution,
not as recipes that provide an answer without any comprehension.
EVALUATION MATERIALS Both self-evaluations and instructor evaluations are available.
• Reading questions are available within each online section. I wrote these so that they do
not require analysis or any deep understanding; rather they simply test whether a student has read the
GO Tutorial
Video Review
xviii
PREFACE
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