理論物理訓練雜項
TRANSCRIPT
May 12, 2012
對稱的物理與數學
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此營隊授課對象為升大三（包含）以上之學生。
http://phys.cts.ntu.edu.tw/workshop/2012/1010806center/default.aspx
?mclass=5
建議學生具備以下基本知識：
Calculus and General Physics -- You should be familiar with them.
Linear algebra -- You should know what are vector spaces, linear
transformations, and dual spaces.
Basics about finite groups and finite fields -- use Google or Wikipedia if
you do not know what they are.
Partial different equations -- You are not scared to see them, and know
what it means to solve them, even though you might not know how.
是什麼讓人最後放棄物理？我想實際原因非常複雜，不過一個很重要
的原因，是現代物理學高度的理論化和抽象化掩蓋了物理的趣味現代物理學高度的理論化和抽象化掩蓋了物理的趣味現代物理學高度的理論化和抽象化掩蓋了物理的趣味現代物理學高度的理論化和抽象化掩蓋了物理的趣味。
要掌握這些理論框架，概念，數學工具，需要反复的思考和勤奮的學
習。有一種觀點，象理論物理，純數學這樣的基礎學科，現在已經是
一種貴族式的科學了。沒有天賦的大腦，從小的熏陶，很難有所成就。
對這個觀點，我總有點不服氣。但是隨著自己學習的深入，我時不時
的懷疑自己的天賦能力是否足夠繼續學物理。我深切體會到，天賦與天賦與天賦與天賦與
勤奮真是非常重要勤奮真是非常重要勤奮真是非常重要勤奮真是非常重要。雖然很打擊人，可是一旦確認自己不是學物理的
料，趕快轉行才是正途，對物理學的熱愛只有藏在心中了
常常有人說：與其給你魚吃，不如教你如何釣魚。工程師就是扮演著
教你釣魚這樣的角色；而物理學家則是更進一步，既教你釣魚，更教
你用不同的魚竿釣不同的魚，一旦找不到適合的釣魚竿，還要自己做
一支魚竿。這就是物理所學的：如何找到有效而且節省的方法來處理
問題。它教你的其實不是一種技術，而是基本的知識；這使得在一個
人四十年的工作生命期間，可以利用基本知識來重新適應時代的變化
而要轉換職業也是比較容易的
你的技能點到哪邊了？
物理學的架構
之
你的技能點到哪邊了？
如何通過物理系博士資格考
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How to Pass the Ph.D. Qualifying Exam in Physics
By arhatee, eHow Member
How to Do
So you've made it into graduate school, and have somehow managed to
pass your first year of classes. ConGRADulations! Now, if you're in 90% of
the universities in the United States , you will inevitably face the physics
PhD. qualifying exam. Don't fret! With a few tips, you'll be cruising
through to a passing grade.
Instructions
Things You'll Need:
Pencils
Paper
Physics Textbooks
Old Qualifier Exams
Step 1
KNOW YOUR SCHOOL'S STYLE: Each university has their own unique PhD
qualifying exam, which changes from year to year. Also, the exam format
varies for each university (the amount of questions and time allowed for
examination). Some schools have a 6 hour exam in one session, while
others give the exam in multiple sections over multiple days. It is
important to become familiar with your university's qualifying exam to
know what exactly to expect. The best way to do this is to talk to
professors.
Step 2
KNOW THE TEST: While the qualifying exam may be different for
different universities, they should all cover Electricity and Magnetism,
Quantum Mechanics, Classical Mechanics, and Statistical Mechanics.
Usually there is more emphasis made on E&M and Quantum. The
difficulty level is usually equivalent to your first year of graduate school
classes. The same profs who are teaching you these subjects are the
ones who are writing the qualifying exam so keep this in mind. One of
the best ways to study for the qualifying exam is by getting as much out
of your current classes as possible.
Step 3
KNOW WHEN TO START: It is best to start serious studying for the
qualifying exam a couple days after your final exams end, probably May
sometime. This gives you approximately 3 months to study (Most Quals
are given in August). Treat it like a day job! Try to designate at least 6
hours a day to practicing problems as we'll discuss below and you'll be
confident and ready for your exam come August!
Step 4
GET OLD EXAMS: Every physics department has a stockpile of old qual
exams locked away in the basement. Your department's receptionist will
undoubtedly know where to find these and will give them to you, No
Charge! This really gives you a ton of problems to do...say 10 years of
exams X 12 problems per exam = 120 problems! Also, this will give you a
feel for the difficulty level of your particular school's exam.
Step 5
GET THE RIGHT BOOKS: In the words of Good Will Hunting, "You people
spend your whole lives surrounding yourselves with books and their the
WRONG books!"
Well, here are a list of the right books to use as references while working
qualifier problems. Also, ask your professors which books they think are
the right books. I'm sure they will have a list they're dying to talk about.
E&M--
Classical Electrodynamics by Jackson - A must-have!
Electrodynamics by Griffiths - Undergrad text but very clear and
useful-Must-have.
Classical Theory of Fields by Landau and Lifshitz - Doesn't show steps,
but may clear up conceptualization problems.
Problems & Solutions on Electromagnetism by Linn - Great big vat of
problems from old qualifying exams taken from a number of universities.
Quantum Mechanics--
Quantum Physics by LeBellac - Grad text, very thorough.
Quantum Mechanics by Griffiths - Undergrad text with essential
problems.
Modern Quantum Mechanics by Sakurai - grad text, good but may need
LeBellac to clear things up.
Classical Mechanics--
Classical Dynamics of Particles and Systems by Thorton and Marion -
undergrad text but essential!
Classical Dynamics by Goldstein - pretty dense grad text but good for
reference.
Statistical Physics--
Introduction to Statistical Thermodynamics by Hill - good overall book.
Statistical Mechanics by Pathria - dense grad text but good for reference.
Step 6
MAKE A PROBLEM BOOK: Here is some key advice to passing the
qualifying exam. When you work on a problem, write the final solution
on one sheet of paper. Then put it in a binder which will soon be
comprised of all your previous worked solutions. Title each problem with
a catchy heading which describes the jist of the problem. Also, highlight
any tricks or difficult jumps that were made with a bright color. A couple
of weeks before the exam, study your binder, going back through all the
tricks and essential tools you used to solve the problems. This is fantastic
review!
Step 7
FINAL ADVICE: On the day of the test, set two alarms, get up early and
take a jog to get the blood flowing, take deep breaths, relax.
By now you have worked through every problem Griffiths has ever come
up with, you have mastered every problem from the last 10 years of your
school's qualifying exam, and you have a binder of mastered problems.
So relax and dominate the test!
Tips & Warnings
Use your textbooks as references only for tricky problems! The main
point is to learn how to do as many types of problems as possible, not to
read every book on physics. Don't waste time reading chapters!
「最低的理論要求」（Theoretical Minimum）這個計畫是蘭道在三十
年代所發展出的。此時已有許多的學生來師從他，於是產生了理論物
理的蘭道學派。它的內容在以後雖經多次修改，但它的教育原理卻毫
無改變。
蘭道反對膚淺的、半瓶醋的論調，他認為必須先對科學原理有了充份
的了解，才能談到進行獨立的科學工作。他堅信理論物理是以統一的
方法所進行研究的一門統一的科學。他堅持要求那些想作他學生的人，
一定要先熟習理論物理各分支的原理，這些原理包含在「最低的理論
要求」的七部門裡（力學、場論、量子力學、統計物理、連續介質的
力學、巨觀電動力學、相對性量子論）。
物理人應讀的原文書單----概論與普物
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物理系原文書推薦----概論與普物
作者: Jared1982
由於版主及不少版友提供各類物理書籍在板上交流指教
小弟也很希望能提供我的朋友(在美國)及不少物理系研究所和博士
班的學長所整理的各種經典原文書(物理系適用)及國外物理系教學
大綱
提供在貴版參考 惟小弟看的書不多 加上我非物理科班的人(有興趣,
想考物研所)
所以我提供的書很多是學長教授 還有我的朋友的意見 本人有些沒
有讀過
我會做我所讀過的書做出個人的意見...其中還包括我在 amazon 網
站及國外知名大學物理系網站所得到的許多訊息做出的整理(其實花
了不少時間,打算以後有時間的時候要慢慢念)
希望有機會可以提供各位做參考 而我打算針對大學部的物理課程做
以下分類:
1.普物及知名大學系列書籍:
普物是眾所週知的大一必修入門,也是這篇要 po 的主題 不過針對普
物我讀的書及整理的資料不多 版主看過那麼多版本的普物原文書會
比我有經驗許多 所以我提供兩個知名大學的low division level(就
是只大一大二)的系列叢書
這些書
至今仍被這些大學使用中(有確切來源,官方網站提供) 一個是
Berkeley Series 的五本書,一個是 MIT Series 的四本書也就是兩個
學校的教授為這兩個學校學生設計的教科書 我沒有看過 MIT Series
的書 不過 Amazon 的評價都是五科星的最高級
我個人覺得 Berkely Series 真的是寫的太棒了
其中對於核心課程的銜接做的非常的好(很多人比如說我會覺得普物
跟一些核心課程如古典力學 電磁學之間的落差很大,當然數學的不
足是最主要,但我覺得念完 Berkely 第一冊簡直就是為 marion 的
pre-text(課前準備)而寫的 念完第一冊力學對 marion 的書便不會
有龐大的恐懼感了...這些詳細情形後面會詳述...
這兩個系列是強烈推薦物理系學生唸 而且不會因為是名校 寫的書
便超難 反而是深入淺出的超水準 只能說這些學校教授的教學功力
真的是一流
2. 物理數學
講起物理數學內容就多了 主要是以微積分作為基礎 應用數學作為
主軸
大致可按工程數學的分類如下:
1.單變數函數微積分 2.多變數函數微積分
3.向量微積分及張量分析 4.微分方程: ODE, PDE, Boundary Value
5.拉氏(Laplace)數學與傅氏(傅立葉)數學
6.線性代數(包跨矩陣) 7.複變函數
8.機率與統計(常被忽略) 9.變分法與應用(常被忽略,卻是理論力學
的核心數學)
3.古典力學(包擴 Newtoian 及 Lagrange)
4.電動力學(包括電磁學與電動力學)
5.量子力學(包跨量子物理與量子力學)
6.統計力學(包跨熱力學 熱物理學 與統計力學)
7.週邊:(大學部為主)
a.光學: 包含在四大力學之內 但是應用太廣變獨立出來
b.狹義相對論: 非常重要的近代物理(電磁 量物)基礎 物理系本科
常忽略的重點科目, 廣義則太難了 大學部不適合
c.固態物理:標準的應用物理 跟原子 分子或粒子物理等應用物理不
同的是他的內容可以在大學部便可研讀 且內容繁多 自成一科 (本
科我蒐集的資料較少)
d.波動: 常被物理系學生忽略,但其實其中大有深度廣度及難度 可
以自成一科直得從基礎便開始念 會在近代物理及電磁波 光學等 幫
助非常 j非常推薦將波動自成一科來唸(後面會提供經典書籍)
8.參考用書:費因曼物理三巨冊
這裡不用多說了,上述每一科都可以將費曼的經典名著當成
reference 創下 amazon 網站教科書最高評價的書目. 62 位讀者給予
五科星評價 在物理教科書中是前所未有的........
個人最推薦的是他對於各種物理量或是數學量定義的源頭都找出來
了(他的歷史資料應該是取材自大英百科全書)而且還加上自己獨數
一格的解釋 強力推薦一定要唸向量分析,複變,還有線性數學的部分
真的是寫的非常棒 尤其是內積與外積定義的由來,為什麼一個兩向
量大小乘以餘弦是純量 兩向量乘以正弦卻要定義兩個方向出來而是
向量 跟實際物理應用之間的關係有很好的解釋 可以將數學觀念基
礎更加紮實...來用於物理 這本書的數學解釋算是最高段的~~
以上大概就是小弟整理出來的架構: 非常的多所以精挑教科書便相
當的重要了後面幾篇會慢慢把以上八大項的小弟整理的參考用書 po
上去 其中包括許多人的意見
第一篇 針對普物 本人資料遠不如版主念過的多,但大體而言普物最
多人用的兩大經典書目便是 Haliday & Serway 我個人則覺得 Helcht
的普物不錯
但是篇敘述性 數學並不多 至於 Haliday 我覺得在力學部分寫的相
當不錯很多推導都簡潔有力
光學部分 Helcht 提供的 topics 不少其他部分則是 Serway 寫的比較
深入詳細 後面幾篇依序會按照大綱把小弟整理的原文書目提供上去
還請讀者指教~~~至於研究所的書目便在此不詳述 包括許多系列,如
著名的 Landau 系列 Pauli 系列, Feyman 系列, Dirac 系列,Greiner
系列等等.....
物理人應讀的原文書單----古典力學
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者: Jared1982 (異教皇帝朱利安) 看板: PhysicsEdu
標題: 物理系原文書推薦----古典力學
時間: Thu Apr 3 23:28:21 2003
古典力學這科如果只牽涉到牛頓力學的話 那教科書真是多如牛毛但
如果要牽涉到拉格朗日的動力學模型的話 那幾乎除了 Marion 的書
之外其他都是研究所程度的書了
也就是說 就一個理論力學的intermediate course來說 這實在很難
界定這是研究所的課或是大三大四的課 (內容包含 lagrange 的話)
故嚴格來說?
許多國內學校把 marion 的古典力學擺在大二開一學年的課其實不叫
天書很難
理論上就國外的物理系教程來看大二應該是以牛頓力學為主 到了大
三大四才需要適度的教一些拉格朗日和變分法則等等分析力學的課
程
這跟數學程度有關 因為一直要等到微積分與物理數學學完之後 在
學一些 calulus of variation 變分法 變分微積分等等課程 對
lagrange力學才點了解 故數學訓練的時間和課程選取的時間有相當
的關係...
而我這篇提供的教科書與參考書多是學長提供 有些是我自己覺得不
錯的
主要分成牛頓力學與分析力學(Lagrange & Hamiltonian)
關於牛頓力學的部分:
書非常多,推薦的是 Berkely Series 和 MIT Sereis 的牛頓力學尤其
是 berkeley 的書 Mechanics: Vol. I by Helmhotz 很多都是 cover
Marion的教材 只是數學用的比較淺 但是解釋的非常清楚 非常適合
要唸 Marion 作為 Lagrange 為入門的同學
個人強烈推薦這本書 因為這本書講的每一個 topic 都很詳細 比一
班普物的書要深入一些(包跨導正客卜勒行星定律與各種力學定律都
比較嚴謹, 觀念的來龍去脈亦說明的很清楚, 不會用到很複雜的數
學 卻寫的根 Marion 一樣深入
至於 MIT 系列: Newtonian Mechanics by Anthony Philip Frenc 則
是最受好評的力學用書 和一般力學用書不同的是這本書用不同的方
式來描述牛頓力學有興趣的人可以參閱 amazon 看看他的編排方式
(目錄)
作者把牛頓力學與其他古典物理的理論結合在一起 具有綜合各理論
物理的效果比起一般力學教科書的陳腔濫調的編排
這本算是最令人耳目一新的作品 Berkeley 系列不用多說非常有名,
這本 mit 系列的力學用書台灣比較少人知道, 但是在美國被使用的
頻率卻比 berkeley 系列更高 因為評價很高
其他還有超級多各大學校物理系或是機械系用牛頓力學用書 但綜合
比較過後我覺得上述這兩本是最好最出眾的選擇~~~ 也最適合物理
系!!
關於分析力學的部分:
目前市面只有一本聖經版入門書: Marion & Thorton, Classical
Dynamics 這本書對於要初次進入 Langrange & Hamilton 力學的學生
來說是最好的選擇.
對於學習過牛頓力學的人可以直接從第六章變分法開始進入因為拉
格朗日和牛論力學的相通性才是本書的最大主軸(第四章關於非線性
動力學的書有很多專書論述,惟須補充的大概只有 第五章重力理論
他的新版加入了潮汐力的推倒相當值得一看!!)
本書把牛頓力學和初等拉格朗日動力學結合 並完整的把所有力學架
構推倒一遍算是最標準的教科書 但是習題很難 所以作為大學部的
理論範本比較有價值在研習 Marion 的拉是力學之前 最好預先在數
學及牛頓力學上多做準備
1. 牛頓力學部分 berkely 系列的力學用書個人覺得做了完美深入
的銜接數學的話大學部只要將 Marion 課本第六章及習題, Boas 那本
書的變分函數部分 或是 Mathematics of Classical and Quantum
Physics/TwoVolumes in One 這兩本前一篇所提過的物數兩大王牌書
本的變分法部分弄熟由以上兩項支援 Marion 這本的古典拉
氏力學會比較容易上手....
至於研究所部分 大概才是整個分析力學的核心可能需要用到更深等
的數學工具如變分微積分的專門的書
至於研究所古典力學用書眾所週知就是兩大聖書之爭 Goldstein 的
Classical Mecahnics 以及 Landau 的 Mechanics 俄國超級物理大師
藍道的理論力學被喻為是史上最完美的力學教科書(研究所)
當然Goldstein的支持者反駁說Landau的 style太過於簡潔 不過對
於理論物理學研究者來說這兩本都是一定會蒐藏的經典
物理人應讀的原文書單----電磁學
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作者: Jared1982 (異教皇帝朱利安) 看板: PhysicsEdu
標題: 物理系原文書推薦----電磁學
時間: Sat Apr 5 22:59:29 2003
電磁學的大學及研究所用書大概所有科目中最多的吧,比量子理論的
教科書更多因為這門科學的應用實在是太廣了
有專門針對物理系學生的教科書的範本不過選擇還是相當多(特別是
研究所用書),所以慎選好書算是重要的課題
也由於書目較多,電磁學整理出來的資料比較多一點,不過都是很棒
的書
在大學部方面,修習所謂電磁學(或初等電動力學)的課大概是大二或
大三在銜接普物簡單的電磁學(只需稍有微積分基礎即可)
上最大的難題就是向量微積分上(特別是一開始較難上手的梯度散度
旋度三大定理),而靜電靜磁和 maxewll 波動方程式等數學也需要大
量應用到物理數學的主要內容如微分方程,邊值,laplace,級數解等
等...所以修電磁學最好先將數學部份 掌握清楚.故我就先將數學部
份分成向量分析及應用數學部份
電磁學具備物理數學用書
向量微積分:
在電磁學中可以說是扮演最吃重的角色,向量微積分學不好,電磁學
就沒有學好的可能.這裡當然要推薦 Schey 教授的 Div, Curl and All
That.
這本前述以介紹過,跟別的向量從書不同的是他是完全是從電磁學的
角度出發來介紹如何運算向量微積分 包括三大討厭的物理量及多重
積分,座標軸轉換,把有關電磁學所有需要的向量微積分知識都做了
最好的介紹.
也是前進電磁學之前的必備工具.(中譯本:誰怕向量微分---電磁學).
另外修習本書也可搭配姐妹作 Weinreich 教授的 Geometrical
Vectors,前已描述過,會對向量的幾何意義與在物理上的觀念有非常
精
微細的了解及獨到見解(insight) (Schey 用深入淺出的架構教你如
何算代數,Weinreich 垢則神奇的剖析幾何觀念)?
其他有關會運用的物理數學的部分(ode pde,邊界值,級數),Boas 的
書是不二選擇接下來就是主要的課程.大致上可分為兩大部分,電磁
學與電磁波. 後者當然是以電磁波的應用為主要的課題,很多部份會
cover 到波動光學的一些 topics
電磁學推薦用書:
教科書:
1. Intro to Elctrodynamics, thrid edtion by David J. Griffiths
2. Electromagnetic Fields, 2nd Edition by Roald K. Wangsness
一般仿間最常用的兩本教科書是 Griffiths 的 Introduction to
Electrodynamics 以及 Lorrain & Corson
的 Electromagnetic Fields and Waves,(去年已有新的版本出來).
但 Griffiths的書自從Caltech和 Harvard選做指定教科書以來聲勢
已遠超過 Corson 的著作.本書當然是電磁學教科書的第一首選,非常
平易近人?
以及觀念式的表達方式成為本書的註冊商標.
不少精采的整理與架構也是本書特有.但本書的缺點是數學式較簡
略,
加上 examples 不多,習題又很難算,故數學上 這本書有不少令人詬
病之處. 而這本書搭配的教科書首推 Wangsness 教授所寫的
Electromagnetic Fields, 2nd Edition by Roald K. Wangsness.
這本書比起 corson 來說也是比較少人知道,卻是最受好評與
Griffiths 互補的最佳用書.這本書的數學運算提供的比 Griffiths
的書清楚詳盡許多,加上各種物理量的數學推導與演算都比較詳細,
雖然數學用的很多,但是剛好可以和 Griffiths 的書搭配使用尤其最
受好評的是廣泛的例題 可以讓人清楚的知道如何去計算電磁學的問
題,及其應用.而且數學循序漸進有條理,可以說是導證電磁學的典範
(大學部分)referince(參考書):
1.Electricity and Magnetism,Berkeley Series Vol. II by Purcell
2.Feynman Lectures on Physics Volumn
II說到參考用書,我特別要推薦曾因電磁學方面研究拿過諾貝爾獎的
柏克萊大教授 Edward M. Purcell 所寫的柏克萊五書系列第二冊. 這
本書可以說是大學部電磁學的超級經典.也是敘述性物理用書(觀念
姓)物理用書中的翹楚.
這本被公認的大著不適合教科書的原因是數學頗少,但是觀念,邏輯,
歷史意義,以及數學被後的物理意義的描述,就電磁學來說我個人讀
過的經驗是最棒的.(因為我真正了解梯度 傘度 及旋度的背後物理
意義搭配微積分的涵義就是這本書,甚至告訴你說從電磁學中這些物
理量是怎麼定義出來的)
這本觀念性的劇作也是柏克萊五書中最有名的兩本之一(另一本是第
三冊波動,這本書講到波動用書時會提供)個人是五星級的強烈推薦,
對物理觀念絕對會有相當程度的幫助的.
徐氏基金會有出這本書的中譯本就叫做電磁學,由官德樣 葉天正等
人和譯.可以去重慶南路上買到此書,保證式值回票價.另外這本書被
公認寫的最好的部分是有關運動電荷的電場部分,其中用到相對論的
解釋,用以解釋磁力的由來.這一章(第五章)從歷史與邏輯的角度去
說明磁力來源.
另一本巨作就不用多說了,費因曼的書最為人稱道的地方在於解釋
向量位以及後面 Maxwell 方程統整整個古典物理的部分以及費曼對
於這些方程的解釋,特別是對於空間中電廠磁場這種抽象的電磁波的
概念,費曼大師提供了非常神奇驚人的討論(chapter 20).
(包括對於乙太這種東西的概念,跟 Griffiths 的解釋不惶多讓)在上
述兩本書方便我特別推薦 Purcell 的書,真的有豁然開朗的感覺~~~
電磁波及電磁輻射用書:
書目:
Classical Electromagnetic Radiation by Mark A. Heald, Jerry B.
Marion
Electromagnetic Vibrations, Waves, and Radiation by George
Bekefi
為了彌補 Griffith 和 Purcell 等書在電磁波與輻射這各題材上面的
明顯不足電磁波用書也是相當重要的課題.在工程上用書非常多,大
多以 David Cheng 的書為宗.
但是此書是著重於工程方面,就物理系來說,有關電磁波或電磁場等
書的專論,研究所有非常非常多且不乏許多經典名著(包括Landau,史
溫格,Jackson) 但大學部就顯的少了,主要是因為會和光學的部分
cover.所以 物理系大學部學生學習電磁波與輻射,大概都是以
Marion(力學聖經本作者) 的Classical Electromagnetic Radiation
的書為第一考量.
本書的編排方式相當的棒,數學推倒也十分詳盡,教材亦十分多元,不
會跟 Griffiths 等書重複到,同時提供了許多歷史性的發展的編排,
以及不少物理光學的 內容,不但可以輔助電磁學用書,更可以和光學
聖經大書 Helcht 對照需注意的是使用本書必須要會傅立葉級數,可
參考 Boas 的書補充一下
如果覺得 marion 的書過於偏難的話,很多電機以及物理系的學生 會
選擇Electromagnetic Vibrations, Waves, and Radiation by George
Bekefi, Alan H. Barrett (Editor)這本書作為 Marion 的電磁
波,Helcht 的光學甚至是 Jackson 的電動力學的預備工作,這本書物
理雖然少用作教科書,但是也是非常受好評的一本書目尤其是波動方
面, 從最基礎的波動開始講起., 是打基礎的書
Jackson 電動力學 解答
http://www-personal.umich.edu/~pran/jackson/
http://web.ipac.caltech.edu/staff/turrutia/public_html/jack
son/jackson.html
物理人應讀的原文書單----應用&物理數學
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作者: Jared1982 (異教皇帝朱利安) 看板: PhysicsEdu
標題: 物理系原文書推薦----應用&物理數學
時間: Thu Apr 3 15:50:54 2003
1. Calculus: Calculus, A New Horizon by Anton
微積分的重要性對於物理系甚至遠高於其他工學院的學生這本書的
經典書我絕對會給 Anton 的紅皮書 Calculus
第七版除了提供對於科學與工程學生最詳盡的 approach 之外本書提
供了 21th 電腦繪圖對於微積分等應用數學的學習方式與時俱進的教
科書在這年頭是極端少見的
有人說要看一本微積分好不好 就看這本書的極限寫的如何而我並沒
有看過其他熱門書如 Thomas, Salus, 或是 Stewart 等全部內容但是
Anton的內容不但絕廣泛(對理工來說) 而且極限的部分寫的最好 極
限的嚴格定義相信大家都弄得一頭霧水 但是 Anton 這部份卻循序漸
進 交代的很清楚....
所以就極限這最基礎的部份來說 我覺得 Anton 的書最佳而包跨多變
函數及多重積分本書也著墨甚多 最好的地方是物理學尤其是力學和
天體力學的應用寫的很詳盡 對於古典力學幫助很大
2. 物理數學:
通常大家都常講念物理系 大學部就要唸 Boas 研究所就念 Arfken
可是其實現在大家物理系多在用 Arfken 要不然就用工程數學的書真
正的物理系聖經用書 Boas 用的很少
但是他的好評卻是永遠不衰的 包跨 Amazon 近 20 位讀者評價的五科
星的超級評價(這麼多讀者還能有五科星的書是很少的)及知名補習
班名師喻超凡還有物理系許多教授都推薦這本物理系聖經本.就大學
部來講, Boas 的書真的是無話可說 淺顯易懂 而且題材廣泛 有關變
分法還有特殊函數
兩大物理系的重大課題都有詳盡的論述 非常 understandable(相較
於 Arfken大人)是本書的最大特色 本書的習題在國外也有solution
manual販售但國內沒有 相當可惜 因為本書習題多,是廣受好評的另
一主因但缺點是例題相當少
相較於工學院的電話簿那種具有龐大的例題 examples 這本書顯的相
當袖珍 也算是唯一缺點吧至於 Arfken 在研究所的評價就不如他在
amazon 網站上那麼差了 畢竟就一個物理系的研究生 boas 的書是不
夠的
而 Arfken 則是最佳的手邊參考書目..但是物理系大學部的學生如果
你只想要有一本應用數學的書 Boas 是你的唯一選擇....能去國外弄
到習題的答案就更好了
ps:
用 kersig 等工學院電話簿雖然可以補充大量的例題(非習題喔) 但
有些物理系專門的東西如變分法特殊函數 張量分析等等就會漏掉了
~~不免要提一下如果有人要唸研究所 依然有除了 Arfken 之外的廣
受好評的聖經書本,
Arnold 教授那種年代久遠的聖經便不提了最廣受使用的研究所物理
數學用書除了 Arfken 之外 Mathematics of Classical and Quantum
Physics by Frederick W. Byron 是最受歡迎的書最近的聲勢有超越
Boas 的趨勢,....
因為 Boas 做研究所而言可能稍嫌不足....當然 這本書的評價也遠
勝於Arfken 只是 Arfken在海外比較紅~~~所以考上物研所的同學建
議去愛因斯坦訂這本書 以前好像有在賣現在不確定因為通常研究所
不會特別開一個物理數學的課 所以買的人就少了
3. Vector Analyze
不用懷疑了, Schey 教授的 Div Crul and ALL that 搭配 Gabriel
Weinreich 教授的 Geometrical Vectors (Chicago Lectures in
Physics)是最佳的選擇配套(我知道,又多一個芝加哥大學的系列了)
這樣組合也是 Amazon 網站的讀者挑出來的互補組合,是最佳的上手
組合
MIT 教授 Schey 評價五星級頂級水準的經典"參考書" (因非正式數學
用書)不用拗口的數學語句 反而用輕鬆的態度 而且是以研究電磁學
的 方式讓人了解向量這種東西
裡面的數學非常實用而且非常有調理是一本可以數學方面描述的非
常有架構而且教你如何"算"向量微積分的書 特別適合在研讀電磁學
之前的自修書~~~~ps:中譯本"誰怕向量微積分"已絕版 快去圖書館
借出來印吧...
這本在台灣不紅,卻是美國當紅的參考書,有點像大碩叢書那種但是
寫的比鼎茂那種考試用書有水準太多太多了~~~ 雖然這本書不是MIT
四書系列但是在 MIT 沒有一個人不用 Schey 的書
這本也是參考書中的最暢銷作品芝大教授 Weinreich 的這本書雖然
沒有這麼大的名氣,但是依然有快滿五科星級 的超級評價,(給予負
面批評的讀者所得到認同票非常的少)
這本書提供了一個和其他的向量書不同的 apporach 去接觸向量這種
數學 tool 運用幾何的方式去描述各種向量背後的物理與幾何內涵,
所以 schey 可以教你如何算向量 weinerich 則可以告訴妳這些代表
了什麼深奧的意涵
我的同學就是用這本書 (但他不是芝大的:D) 我有一個學長也有從
國外訂過 可是我沒有看過 這本書在台灣相當的少見 我幾乎都沒有
找到過.... ?
但是這本書一樣在美國是廣受好評且被指定為芝加哥大學物理系用
書 芝大的理論物理在美國學術界是和哈佛齊名的? 但這兩本明星書
的缺點是都沒有提到張量的東西, 所以更顯出 Boas 的價值出來
至於Linear Algebra也有許多書目 但有些超出物理系的範圍了除非
修課 不需要在去買書k了 Boas的書裡有 如有需要可以參考黃子嘉
老師的網頁 這位老師有詳盡的整理
http://teacher.7-11learning.com.tw/zjhwang/ 裡面線性代數專
區裡有原文書介紹...其實有關於物理數學和向量分析的書千本萬本
所以這裡挑出來的書目不但是指定教科書 更得到很多人的評價,所
以不要因為在台灣 只有 kreszig , O'Neil 等書有名而忽略了這些好
書呢~~~這些書在國外都是赫赫有名的.....詳情可以餐閱國外各大
物理系網站及各大書店網站作為評比的參考
記得不要只看打幾科星要看幾個人打分數 大分數的上面會寫有幾個
人贊同幾個人不贊同更重要的是要看這也讀者們寫了些什麼~~~
有些人因為書很便宜也可以打五科星 或是書很貴就打一科星 這些
都很少人會投贊同票的沒有參考價值
物理人應讀的原文書單----量子物理
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作者: Jared1982 (異教皇帝朱利安) 看板: PhysicsEdu
標題: 物理系原文書推薦----量子物理
時間: Sun Apr 6 03:19:54 2003
量子物理與量子力學這門課的最大特色,不在於說這些量子觀念的抽
象與不尋常(因為物理教科書不討論有關於物理哲學方面的問題,對
於量子力學到底是啥,費曼先生做了最好的解釋:"沒人了解它")
最大的特色對於物理系大學部學生來說,當然就是數學的角色吃重
(這部分跟 Lagrange 力學一樣,學生不懂都是因為變分法的難
度問題, 而不是去探討拉式力學和牛頓力學之間哲學內涵的差異)
所以跟古典力學一樣,課程的數學頗多,物理觀念則是另一回事了~~
有鑑於此,數學這方面最好能多做準備~~~ 大體來說,量子力學在國
外
絕對是大四的課
是在國內全部都是大三(大四要準備研究所了)流程應該是
普物--->近代物理--->量子物理--->量子力學
就物理系學生來說其實普物之後可以在大三就進入較深的量子物理
內容(初等的量子力學介紹),一般而言,量子物理與量子力學的差別
只在於量子物理範圍較廣,但數學較淺,量子力學討論範圍較專精,數
學較深
而書目的提供分三部分,一是量子物理, 二是量子力學, 三是數學教
材
量子物理部分:
推薦書目:Quantum Physics of Atoms, Molecules, Solids, Nuclei&
particles 2th edtion
by Eisberg & Resnick
一般量子物理的書會比其他系所用近代物理的書要深入,可以作為大
二下或大三上的教材,作為量子力學的入門書.在物理系的課程中量
子物理的教科書很多
其中兩大聖經版本就是 Esiberg & Resnick 的這本以及加州理工大二
用書 Liboff 教授所寫的 Introductory Quantum Mechanics 但是
resnick 的書提供了整個量子物理發展史的發展過程(這對了解量子
物理相當重要)不管是在歷史上還是觀念頗析,物理內涵說明都比
Liboff 的書要詳盡
缺點是字數過多,過於冗長,Liboff的內容較精簡,但是除了數學式物
理觀念的解釋與歷史邏輯的推演都不如 Eisberg 好.
兩本書大體都包含了 相當完整的內容包括量子理論用在原子分子固
態 核物理及高能粒子物理上面
兩本書的數學推衍都十分完備,但是選擇的話 Eisberg 我還是比較推
薦 因為絕大多數的讀者對於本書物理意義 step by step 的分析與解
釋與數學背後的歷史內涵都讚不絕口,是數學式與文字取得平衡的好
書更重要的是比量子力學的書淺易不少
但比近代物理的書更深入最為學習量子力學的一個銜接遠比去唸其
他近代物理的書更好
量子力學部分:
推薦教科書:Principles of Quantum Mechanics by Ramamurti
Shankar
推薦參考教材: Quantum Mechanics by Claude Cohen-Tannoudji
Feynman Lectures on Physics Vol. III
作為第一本學習量子力學的書,耶魯大學物理系系主任 Shankar 寫的
這本書可說是所有物理系學生心目中的唯一救星.因為這本教科書實
在是太超級了
在amazon網站上的評價超過25人一致給予五星級評價.(當然事先你
比需具備的基礎是你研習過 Eisberg 的量子物理,以及你的數學準備
夠充分)有關數學的部分第三段會有介紹.
關於量子力學,由於數學頗深以及本身抽象與古典大不同的緣故,所
以幾乎人人叫苦. 連大名鼎鼎的電磁學聖經作者 Griffiths 寫的大
學部量子力學教科書 Intro of Q.M. 評價都呈現兩極化甚至負面多
過正面
其他作者便更不用說了.主要都是寫的太深的緣故而 gritffiths 雖
然想用淺顯平易的方式去教你如何"算"QM. 但是即使學生能夠了解
Gtiffiths 的用意,但對於數學是背後的意涵還是模糊不清的直到
Shankar 的書出現之後,幾乎所有看到此書的物理系研究生都大嘆相
見恨晚阿,這本書到底有多好,本人也還位研讀過,但是我認識的學長
及很多讀者的好評認定此書就是量子力學的入門聖經.
以此本書做為教科書之後,在搭配一本互相補充的參考書.這本是我
在物理教科書網站上看到學生票選出來的 Shankar 這本的"互補書
"(如電磁學中的 Griffiths 和 Wangsness)是 Cohen-Tannoudji 的一
本很厚的量子力學參考書
他除了具備 Shankar 的風格 是本數學與觀念著重的好書之外,更重
要的他的內容無所不包,幾乎量子力學涵蓋的所有的內容,內容非常
繁多,典型的參考書類型,最重要的是他補足了 Shankar 的書所沒有
的內容,兩者搭配相當完備.
另外值得一提的是量子力學第一人費曼大師(他所建立的 QED 物理界
公認 史上最完美的理論,最精確也最完整)所寫的費曼物理第三策,
雖然不需作為教科書,也是值得參考的重要著作.因為沒有人能說他
了解量子學如果他不讀讀費曼大師的作品
其獨樹一格的教量子力學方式(就是從著名的電子雙孔實驗教起)成
為了解量子力學必讀的經典,重要的是,量子力學經典實在是太多了,
所有物理大師都寫了一本,但是唯有這本大學部程度便可以研讀了
~~~~其他全部都是研究所程度以上的天書!!!
數學部分:
量子力學的重要關卡在於數學的抽象難解與複雜,所以勢必得在數學
上多下苦工. 物理數學兩大明星書Boas和 Bryon.都是相當重要的作
品.特別是 Bryon 的書.裡面有專門位量子力學所寫的部分,寫的非常
精采
所以 amazon 把這本書選為搭配 Shankar 的?數學搭配物理的姊妹書
(常常物理教科書會搭配一本物理參考書,及一本數學教科
書,shankar 搭配的物理參考書是 Cohen 的量子力學,搭配的數學用
書是 Bryon 的 Mathematics of Classical and Quantum Physics) 至
於 Boas 的
重要隻處在於他比較基礎,前已論述過是屬於大學部較淺階段,唸完
在接觸較深的 Bryon 會比較上手.
除了我前面第二篇物理數學篇提供過的這兩本聖經本之外,
Shankar為了 要讓他的讀者們能更上手,以後來又寫了一本數學的書,
其中有許多篇幅是專門針對他這本量子力學而寫的.也就是他自己寫
了一本物理搭配數學的姐妹作,跟和 Bryon 的本搭配姐妹作一點也不
惶多讓~~~Basic Training in Mathematics: A Fitness Program for
Science Students 這本書更是好評連連,因為這本非常淺顯易懂,比
BRYON 的書更好理解,
建議
如果覺得 Bryon 的書較難的話,可以參考這本書做為讀 shankar 之前
的準被這本書最棒的地方當然就是在複數的部分,也就是量子力學用
的最多的地方他把所有複數的由來與為什麼要用負數來處理量子力
學,做了非常棒的說明
要了解量子力學當然要了解複數,而這本書就是最佳的教材.除了這
本書的複數之外,費曼第一冊也有一章專門針對複數的論述也是非常
得獨到 在複數部分這裡可以做非常觀念性的補充喔~~~
可惜的是,台灣不但不常用Eisberg作為教科書,用Shankar最為量子
力學更是相當的少. 大多用非常困難的
Sakurai, Menzbacher 等人的教科書雖然這些書在研究所用書都是相
當有名的聖經類書籍
但是作為一各入門書沒有一本比 Shankar 寫的更好,其他都是作為深
等的量子力學用書了(大學部能和 Shankar 相比的頂多只有 Cohen 的
書,台灣更是沒幾個人在用)
本人:補充
Quantum Mechanics by Claude Cohen-Tannoudji Feynman Lectures
on Physics Vol. III
Feynman Vol. III
補充書:
Quantum physics by Michel Le Bellac 概念部份 Feynman 之
擴充
量子物理 (簡體) 新概念物理教程 數學部份 Feynman
之擴充
P.S.1
在德國 大三教量子光學
言下之意
量力 大二就學了...
P.S.2
量力
推:sakurai
P.S.3
Gasiorowicz 量物 Shankar 量力 滿配的
Notes on Quantum Mechanics
K. Schulten
http://www.ks.uiuc.edu/Services/Class/PHYS480/qm_PDF/
物理人應讀的原文書單---波動 光學 狹相
分享在我的 Facebook 分享在我的 Plurk 分享在我的即時通 發文
找知識
作者: Jared1982 (異教皇帝朱利安) 看板: PhysicsEdu
標題: 物理系原文書推薦---波動 光學 狹相
時間: Sun Apr 6 17:10:44 2003
一班物理系除了正規的四大力學之外,其他諸如固態物理,天文物理,
光學光電物理,原子分子 核物理 等等都是屬於這四大力的應用.不
過常常會忽略掉的是波動,相對論,和相關數學方面題材的準備.
有關數學為範圍很廣,
大體上前面已經提供兩本向量經典,兩本物數經典,及 Shankar 的數
學書(複變函數的經典)就大學部來已經足夠,
如果不足的話可能是線性代數以及數值分析的部分(數值分析特別是
應用在電腦軟體方面).
在就針對波動,光學 以及相對論這三個部分作介紹
一.波動:
波動力學相較於粒子(particle)可以做相當程度的對照.而且因為量
子力學興起後,逐漸發現波動的重要性,應用非常廣犯包括電磁波與
振動力學等但是這一個主題經常被忽略,本身應該是屬於力學的範疇,
但是大多力學書描述牛頓力學和拉氏力學都是以質點力學為主,論述
波動的課程並不多.
但由於電磁學,光學,量子力學全部都要用到波動的知識,所以有必要
在大學部便研讀之,其重要性應該是跟質點力學同等重要的,可以做
出對照.
由有甚者,在經典理論物理書籍中,量子物理大師Pauli(庖利)寫了一
本研究所用的波動力 Wave Mechanics,成為所有理論物理研習者必讀
的聖經,於是乎要讀這本大作,大學部勢必要打下相當的基礎.
數學方面:
主要當然是微分方成的應用包括偏為分方程,以及最重要的解
Laplace Equation. 這部份當然是物理數學的主要內容,前述以說明
過這邊的用書了~~~
波動教科書:
1.Waves, Vol. III Berkeley Series Volumn III
2.Vibrations and Waves by Anthony P. French MIT Series
這兩本經典的波動教科書是所有研習波動力學的源頭.Berkeley 系
列以及 mit 系列都提供了非常完整的數學模式,而且涵蓋了相當廣泛
的 題材去了解何為波動這種概念.
應用包括到光學 電磁波 力學波等等的題材,有這兩本書,前進
Helcht 的光學以及 Marion 的電磁波會更上手
即使面對量子力學的波動力學也有所助益.
注： 光學 相對論 文章失蹤
【軟體名稱】：經典物理學著作全集 Physics Complete
【檔案格式】：PDF
【檔案大小】：5.22G
【特徵全碼】：38D3A06D82AF305D5A6CB579326B4F87B73E7786
【軟體語言】：English
【軟體說明】：
物理全集包括
天體物理學、Benjamin Crowell、電磁學、實驗物理、Feynman Lectures、
流體力學、地球物理學、力學、近代物理、光學、物質狀態、統計物
理、熱力學、波動
共 483 本,不管是研究或是蒐藏,都很值得下載
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Modern Physics / String Theory / The Mathematical Theory Of Cosmic
Strings - M. Anderson.pdf 2.3 MB
Modern Physics / String Theory / What Is String Theory - J. Polchinski.pdf
954.4 KB
Modern Physics / theoretical Physics / A New Kind Of Science - S.
Wolfram.pdf 83.1 MB
Modern Physics / theoretical Physics / Aethro-kinematics - Steven
Rado.pdf 3.1 MB
Modern Physics / theoretical Physics / Algebraic Singularities, Finite
Graphs and D-Brane Theories - Y. He.pdf 3.4 MB
Modern Physics / theoretical Physics / Bayesian Logical Data Analysis for
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6.8 MB
Modern Physics / theoretical Physics / Decoherence and entropy in
complex systems - Elze H.-T..djvu 3.5 MB
Modern Physics / theoretical Physics / Electronic Structure and
Magneto-Optical Properties of Solids - V. Antonov, B. Harmon, A.
Yaresko.pdf 27.2 MB
Modern Physics / theoretical Physics / Elements For Physics - Quantities,
Qualities and Intrinsic Theories - A. Tarantola.pdf 3.2 MB
Modern Physics / theoretical Physics / GRAVITY GAUGE THEORIES AND
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Modern Physics / theoretical Physics / Henri Poincare and Relativity
Theory - LOGUNOV, A. A..pdf 1.1 MB
Modern Physics / theoretical Physics / Lectures in Theoretical Biophysics
- Schulten.pdf 3.1 MB
Modern Physics / theoretical Physics / Optimization Algorithms In Physics
- A. Hartmann, H. Rieger.pdf 12.4 MB
Modern Physics / theoretical Physics / Quantum Versus Chaos -
questions from mesoscopy - K. Nakamura.pdf 6.1 MB
Modern Physics / theoretical Physics / The Road to Reality - A Complete
Guide to the Laws of the Universe - Penrose, Roger.pdf 13.8 MB
Modern Physics / theoretical Physics / The Third Branch of Physics,
Eassys in Scientific Computing - Norbert Schaorghofer.pdf 4 MB
Modern Physics / theoretical Physics / Vorticity and incompressible flow -
Majda, Bertozzi..pdf 6.2 MB
Optics / Geometrical Optics - Goodman.pdf 37.4 MB
Optics / Handbook of Optics second edition vol. 2 - Bass M.pdf
19.4 MB
Optics / Handbook of optics second edition Vol 1 - - Bass M.pdf
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Optics / Handbook Of Optics Second Edition Vol.3 - Bass M.pdf
37.3 MB
Optics / Introduction to Fourier Optics 2nd - J. Goodman.pdf
9.3 MB
Optics / Modern Optics - Guenther R D.djvu 7.9 MB
Optics / Optical Metrology 3rd ed - Kjell.pdf 4.2 MB
Optics / Opticks - scan from original manuscript - I. Newton.pdf
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Optics / Optics and optical instruments - Johnson.pdf 21.4 MB
Optics / Optics Handbook Of Optical Materials - webber.pdf 2.7
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Optics / Principles of applied optics - Banerjee P.P., Poon T.-C.djvu
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Optics / Principles Of Nonlinear Optics - Y. R. Shen.pdf 8.8 MB
Optics / Principles of Optics - M.Born, E. Wolf.pdf 24.1 MB
Optics / Quantum Statistics in Optics and Solid-state Physics - Graham,
Haake.pdf 13 MB
Optics / Semiconductor Optics - Klingshirn.pdf 6.1 MB
Optics / Statistical Optics - Goodman.pdf 42.2 MB
Optics / The Visualization Handbook -Charles D. Hansen , Chris R.
Johnson.pdf 11 MB
Optics / Theoretical Optics, an introduction - H. Remer.pdf 2.9
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Optics / Useful Optics - W. Welford.djvu 2.6 MB
State of Matter / Bose-Einstein condensation in dilute gases - Pethick C.J.,
Smith H..pdf 2.1 MB
State of Matter / Concepts of theoretical solid state physics - Altland,
Simons.djvu 3.8 MB
State of Matter / Electrodynamics Of Solids - Dressel, Gruner.pdf
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State of Matter / Electronic and Optoelectronic Properties of
Semiconductor Structures - singh.pdf 11.5 MB
State of Matter / Elementary Condensed Matter Physics - Neto.pdf
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State of Matter / Fundamentals Of Plasma Physics - Paul M. Bellan.pdf
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State of Matter / Gauge Fields in Condensed Matter Vol 1 - H. Kleinert /
1.pdf 7.6 MB
State of Matter / Gauge Fields in Condensed Matter Vol 1 - H. Kleinert /
2.pdf 12.4 MB
State of Matter / Gauge Fields in Condensed Matter Vol 2 - H. Kleinert /
3.pdf 13.8 MB
State of Matter / Gauge Fields in Condensed Matter Vol 2 - H. Kleinert /
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State of Matter / Introduction To Modern Solid State Physics - Y.
Galperin.pdf 4.5 MB
State of Matter / introduction to plasma physics graduate level course -
Fitzpatrick.pdf 1.8 MB
State of Matter / Introduction to Solid State Physics 7th edition- Kittel,
Charles.djvu 13.1 MB
State of Matter / Many-Particle Physics 2d ed - Mahan G D.djvu
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State of Matter / Particle And Nuclear Physics - Niels Walet.pdf
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State of Matter / Quantum statistical theory of superconductivity - Fujita
S., Godoy S..pdf 3.2 MB
State of Matter / Semiconductor Physics And Devices 3rd ed. - J.
Neamen.pdf 63 MB
State of Matter / Semiconductors for Micro and Nanotechnology An
Introduction for Engineers -Korvink J. G., Greiner A..pdf 9.6 MB
State of Matter / Solid State Physics - Ashcroft, Neil W, Mermin, David
N.djvu 11.3 MB
State of Matter / Solid state physics problems and solutions - Mihaly L.,
Martin M.C..djvu 1.8 MB
State of Matter / The Fourth State Of Matter An Introduction To Plasma
Science - eliezer.pdf 1.8 MB
State of Matter / The Structure Of Matter - Mulders.pdf 2 MB
State of Matter / Theory of Dislocations 2nd ed., - J. Hirth, J. Lothe.djvu
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Statistical physics / A Modern Course in Statistical Physics - Reichl.djvu
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Statistical physics / An Introduction to Stochastic Processes in Physics - D.
Lemons.pdf 407.3 KB
Statistical physics / Quantum Field Theoretical Methods in Statistical
Physics - Abrikosov, A.A.djvu 4.6 MB
Statistical physics / Scaling and Renormalization in Statistical Physics - J.
Cardy.djvu 2.2 MB
Statistical physics / Statistical physics - Isihara A..djvu 3 MB
Statistical physics / Statistical Physics - Statics, Dynamics and
Renormalization - L. Kadanoff.djv 5.3 MB
Statistical physics / Statistical Physics And Spatial Statistics - Mecke K ,
Stoyan D.pdf 6.6 MB
Statistical physics / Statistical physics of spin glasses and information
processing an introduction - Nishimori H..pdf 2 MB
Statistical physics / Statistical Physics part 1 3rd ed. - L. Landau, E.
Lifshitz.djvu 7.8 MB
Statistical physics / Statistical physics part 2 2nd ed. - L. Landau, E.
Lifshitz.djvu 5.9 MB
Statistical physics / Stochastic Processes in Physics, Chemistry, and
Biology.pdf 25.5 MB
Thermodynamics / DOE FUNDAMENTALS HANDBOOK -
THERMODYNAMICS, HEAT TRANSFER, AND FLUID FLOW - Volume 1 of
3.pdf 2.9 MB
Thermodynamics / DOE FUNDAMENTALS HANDBOOK -
THERMODYNAMICS, HEAT TRANSFER, AND FLUID FLOW - Volume 2 of
3.pdf 1.2 MB
Thermodynamics / DOE FUNDAMENTALS HANDBOOK -
THERMODYNAMICS, HEAT TRANSFER, AND FLUID FLOW - Volume 3 of
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Thermodynamics / Dynamical Theory Of Brownian Motion - E.
Nelson.djvu 1.1 MB
Thermodynamics / Entropy and its Physical Meaning - J. S. Dugdale.pdf
16.2 MB
Thermodynamics / Fundamentals of Statistical And Thermal Physics - F.
Reif.djvu 7.5 MB
Thermodynamics / Introduction to the Thermodynamics of Solids -
Ericksen JL..djvu 1.5 MB
Thermodynamics / Introduction to Thermodynamics with
Applications.pdf 1.9 MB
Thermodynamics / Schaum's Outline of Heat Transfer - D. Pitts, L.
Sissom.djv 4.6 MB
Thermodynamics / Thermal and Statistical Physics - H. Gould, J.
Tobochnik.pdf 3.1 MB
Thermodynamics / Thermal physics - Kittel.pdf 10.5 MB
Thermodynamics / Thermodynamics - E. Fermi.djvu 4.3 MB
Thermodynamics / Thermodynamics An Engineering Approach 5th
Edition - Gengel, Boles.pdf 21.4 MB
Thermodynamics / Thermodynamics an introductory treatise - Bryan
G.H..djvu 10.8 MB
Thermodynamics / Thermodynamics and an Introduction to
Thermostatistics 2ed - H. Callen.djvu 5.9 MB
Thermodynamics / Thermodynamics and Introductory Statistical
Mechanics - Linder B..pdf 836.3 KB
Thermodynamics / Thermodynamics and Statistical Mechanics - W.
Greiner, L. Niese, H. Stocker.djvu 11.2 MB
Thermodynamics / Thermodynamics of Systems Containing
Flexible-Chain Polymers - V.J. Klenin.pdf 22.7 MB
Thermodynamics / Thermodynamics- An Advanced Treatment for
Chemists and Physicists - E. Guggenheim.djvu 3.4 MB
Wave Motion / A mathematical approach to the common types of wave
motion 2.Ed - C. A. Coulson.djvu 1.8 MB
Wave Motion / Acoustics - L. Beranek.pdf 40.1 MB