50th Grammy Awards
(held February 10, 2008)
nominees:
"Beautiful Flower" (IndiaArie & Joyce Simpson)
"Hate That I Love You" (MS Eriksen, TE Hermansen & Shaffer Smith)
"No One" (Dirty Harry, Kerry Brothers & Alicia Keys)
"Teachme" (Ivan Barias, Adam W Blackstone, Randall C Bowland, Carvin Haggins, Johnnie Smith II & Corey Latif Williams)
"When I See U" (Louis Biancaniello, Waynne Nugent, Erika Nuri, Kevin Risto, Janet Swel & Sam Watters)
49th Grammy Awards
(held February 11, 2007)
"Be Without You"
(Johnta Austin, Mary J Blige, Bryan-Michael Cox & Jason Perry)
[ from The Breakthrough ] other nominees:
"Black Sweat" (Prince)
"Deja Vu" (Jay-Z, Rodney 'Darkchild' Jerkins, Beyoncé, Makeba, Keli Nicole Price & Delisha Thomas)
"Don't Forget About Us" (Johnta Austin, Mariah Carey, Bryan-Michael Cox & Jermaine Dupri)
"I Am Not My Hair" (Drew Ramsey, Shannon Sanders & IndiaArie)
48th Grammy Awards
(held February 8, 2006)
"We Belong Together"
(J Austin, Mariah Carey, J Dupri & M Seal)
[ from The Emancipation Of Mimi ] other nominees:
"Cater 2 U" (Rodney Jerkins, Beyoncé Knowles, Ricky Lews, Kelly Rowland, Robert Waller & Michelle Williams)
"Free Yourself" (Craig Brockman, Missy Elliott & Nisan Stewart)
"Ordinary People" (W Adams & J Stephens)
"Unbreakable" (Garry Glenn, Alicia Keys, Harold Lily & Kanye West)
47th Grammy Awards
(held February 13, 2005)
"You Don't Know My Name"
(Alicia Keys, Harold Lilly & Kanye West)
[ from The Diary Of Alicia Keys ] other nominees:
"Burn" (Bryan Michael Cox, Jermaine Dupri & Usher)
"Call My Name" (Prince)
"My Boo" (Jermaine Dupri, Alicia Keys, Usher, Manuel Seal & Adonis Shropshire)
"Yeah!" (Chris Bridges, Sean Garrett, LaMarquis Jefferson, Robert McDowell, James Phillips, Jonathan Smith & Patrick J Que Smith)
46th Grammy Awards
(held February 8, 2004)
"Crazy In Love"
(Shawn Carter, Rich Harrison, Beyoncé Knowles & Eugene Record)
[from Dangerously In Love ] other nominees:
"Comin' From Where I'm From" (Mark Batson & Anthony Hamilton)
"Dance With My Father" (Richard Marx & Luther Vandross)
"Danger" (Erykah Badu, J Poyser, BR Smith & RC Williams)
"Rock Wit U (Awww Baby)" (A Douglas, I Lorenzo & A Parker)
45th Grammy Awards
(held February 23, 2003)
"Love Of My Life (An Ode To Hip Hop)"
(Erykah Badu, Robert Ozuna, James Poyser, Raphael Saadiq & Glen Standridge)
[ from Brown Sugar soundtrack ] other nominees:
"Be Here" (Michael Archer, Bobby Ozuna, Raphael Saadiq & Glenn Standridge)
"Floetic" (Marsha Ambrosius, Darren "Limitless" Henson, Keith "Keshon" Pelzer & Natalie Stewart)
"Goodman" (Will Baker, Andrew Ramsey, Shannon Sanders & India Simpson)
"Take A Message" (Remy Shand)
44th Grammy Awards
(held February 27, 2002)
"Fallin'"
(Alicia Keys)
[ from Songs In A Minor ] "Didn't Cha Know" (Erykah Badu)
"Get Ur Freak On" (Missy Elliott & T Mosley)
"Hit 'Em up Style" (Dallas Austin)
"Love Of My Life" (Brian McKnight)
"Video" (IndiaArie, Carlos Broady & Shannon Sanders)
43th Grammy Awards
(held February 23, 2001)
"Say My Name"
(La Shawn Daniels, Fred Jerkins III, Rodney Jerkins, Beyoncé Knowles, LeToya Luckett, LaTavia Roberson & Kelendria Rowland)
[ from The Writing's On The Wall ] other nominees:
"Bag Lady" (Erykah Badu)
"He Wasn't Man Enough" (LaShawn Daniels, Fred Jerkins III, Rodney Jerkins & Harvey Mason, Jr)
"Thong Song" (Mark Andrews, Tim Kelley & Bob Robinson)
"Untitled (How Does It Feel)" (D'Angelo & Raphael Saadiq)
42nd Grammy Awards
(held February 23, 2000)
"No Scrubs"
(Kevin "Shekspere" Briggs, Kandi Burruss & Tameka Cottle)
[ from Fanmail ] other nominees:
"All That I Can Say" (Lauryn Hill)
"Bills, Bills, Bills" (Kevin "Shekspere" Briggs, Kandi Burruss, Beyonc Knowles, LeTonya Luckett & Kelendria Rowland)
"Heartbreak Hotel" (K Karlin, Tamara Savage & Carsten Schack)
"It's Not Right But It's Okay" (Lashawn Daniels, Tony Estes, Fred Jerkins III, Rodney Jerkins, & Isaac Phillips)
41st Grammy Awards
(held February 25, 1999)
"Doo Wop (That Thing)"
(Lauryn Hill)
[ from The Miseducation Of Lauryn Hill ] other nominees:
"All My Life" (Rory Bennett & JoJo Hailey)
"The Boy Is Mine" (Brandy, Lashawn Daniels, Fred Jerkins III, Rodney Jerkins, & Japhe Tejeda)
"Lean On Me" (Kirk Franklin)
"A Rose Is Still A Rose" (Lauryn Hill)
40th Grammy Awards
(held February 25, 1998)
"I Believe I Can Fly"
(R Kelly)
[from Space Jam soundtrack ] other nominees:
"Honey" (Mariah Carey)
"No Diggity" (Blackstreet)
"On & On" (Erykah Badu)
"Stomp" (God's Property & Kirk Franklin)
39th Grammy Awards
(held February 26, 1997)
"Exhale (Shoop Shoop)"
(Babyface)
[ from Waiting To Exhale soundtrack ] other nominees:
"Sittin' Up In My Room" - Babyface
"You Put A Move On My Heart" - Rod Temperton
"Your Secret Love" - Luther Vandross & Reed Vertelney
"You're Makin' Me High" - Babyface & Bryce Wilson
38th Grammy Awards
(held February 28, 1996)
"For Your Love"
(Stevie Wonder)
[ from Conversation Peace ] other nominees:
"Brown Sugar" (D'Angelo)
"Creep" (Dallas Austin)
"Red Light Special " (Babyface)
"You Can't Run" (Babyface)
37th Grammy Awards
(held March 1, 1995)
"I'll Make Love To You"
(Babyface)
[ from II ] other nominees:
"Body And Soul" (Rick Nowels & Ellen Shipley)
"If That's Your Boyfriend (He Wasn't Last Night)" (Me'Shell NdegéOcello)
"When Can I See You" (Babyface)
"You Mean The World To Me" (Babyface, LA Reid & Daryl Simmons)
36th Grammy Awards
(held March 1, 1994)
"That's The Way Love Goes"
(Janet Jackson, James Harris III & Terry Lewis)
[ from janet ] other nominees:
"Anniversary" (Raphael Wiggins & Carl Wheeler)
"Can We Talk" (Babyface & Daryl Simmons)
"Heaven Knows" (Luther Vandross & Reed Vertelney)
"Little Miracles (Happen Every Day)" (Luther Vandross & Marcus Miller)
35th Grammy Awards
(held February 24, 1993)
"End Of The Road"
(LA Reid, Babyface & Daryl Simmons)
[ from Boomerang soundtrack ] other nominees:
"I'll Be There" (Hal Davis, Berry Goody, Willie Hutch & Bob West)
"My Lovin' (You're Never Gonna Get)" (Thomas McElroy & Denzil Foster)
"Jam" (Michael Jackson, Rene Moore, Bruce Swedien & Teddy Riley)
"Ain't 2 Proud 2 Beg" (Dallas Austin & Lisa "Left Eye" Lopes)
34th Grammy Awards
(held February 25, 1992)
"Power Of Love / Love Power"
(Luther Vandross, Marcus Miller & Teddy Vann)
[ from Power Of Love ] other nominees:
"Can You Stop The Rain" (Walter Afanasieff & John Bettis)
"How Can I Ease The Pain" (Narada Michael Walden & Lisa Fischer)
"I'll Take You There" (Alvertis Isbell)
"I Wanna Sex You Up" (Dr Freeze)
33rd Grammy Awards
(held February 20, 1991)
"U Can't Touch This"
(Rick James, Alonzo Miller & MC Hammer)
[ from Please Hammer, Don't Hurt 'Em ] other nominees:
"Alright" (Janet Jackson, James Harris III & Terry Lewis)
"Here And Now" (Terry Steele & David L Elliott)
"I'll Be Good To You" (George Johnson, Louis Johnson & Sonora Sam)
"My, My, My" (LA Reid, Babyface & Daryl Simmons)
32nd Grammy Awards
(held February 22, 1990)
"If You Don't Know Me By Now"
(Kenny Gamble & Leon Huff)
[ from A New Flame ] other nominees:
"Every Little Step" (LA Reid & Babyface)
"Miss You Much" (James Harris III & Terry Lewis)
"Superwoman" (LA Reid & Babyface)
"When A Man Loves A Woman" (Calvin Lewis)
31st Grammy Awards
(held February 22, 1989)
"Give You The Best That I Got"
(Anita Baker, Skip Scarborough & Randu Holland)
[ from Giving You The Best That I Got ] other nominees:
"Any Love" (Luther Vandross & Marcus Miller)
"Don't Be Cruel" (Babyface, LA Reid & Daryl Simmons)
"I'll Always Love You" (Jimmy George)
"Just Got Paid" (Johnny Kemp & Gene Griffin)
30th Grammy Awards
(held March 2, 1988)
"Lean On Me"
(Bill Withers)
[ from Life, Love & Pain ] other nominees:
"Casanova" (Reggie Calloway)
"Just To See Her" (Jimmy George & Lou Pardini)
"Skeletons" (Stevie Wonder)
"U Got The Look" (Prince)
29th Grammy Awards
(held February 24, 1987)
"Sweet Love"
(Anita Baker, Louis A Johnson & Gary Bias)
[ from Rapture ] other nominees:
"Give Me The Reason" (Luther Vandross & Nat Adderley, Jr)
"Kiss" (Prince & The Revolution)
"Living In America" (Dan Hartman & Charlie Midnight)
"What Have You Done For Me Lately" (James Harris III, Terry Lewis & Janet Jackson)
28th Grammy Awards
(held February 25, 1986)
"Freeway Of Love"
(Narada Michael Walden & Jeffrey Cohen)
[ from Who's Zoomin' Who ] other nominees:
"New Attitude" (Sharon Robinson, Jon Gilutin & Bunny Hull)
"Nightshift" (Walter Orange, Dennis Lambert & Franne Golde)
"Through The Fire" (David Foster, Tom Keane & Cynthia Weil)
"You Give Good Love" (LaLa)
27th Grammy Awards
(held February 26, 1985)
"I Feel For You"
(Prince)
[ from I Feel For You ] other nominees:
"Caribbean Queen (No More Love On The Run)" (Keith Diamond & Billy Ocean)
"Dancing In The Streets" (Bill Wolfer & Dean Pitchford)
"The Glamorous Life" (Sheila E)
"Yah Mo B There" (James Ingram, Michael McDonald, Rod Temperton & Quincy Jones)
26th Grammy Awards
(held February 28, 1984)
"Billie Jean"
(Michael Jackson)
[ from Thriller ] other nominees:
"Ain't Nobody" (Hawk Wolinski)
"Electric Avenue" (Eddy Grant)
"PYT (Pretty Young Thing)" (James Ingram & Quincy Jones)
"Wanna Be Startin' Somethin'" (Michael Jackson)
25th Grammy Awards
(held February 23, 1983)
"Turn Your Love Around"
(Jay Graydon, Steve Lukather & Bill Champlin)
[ from The George Benson Collection ] other nominees:
"Do I Do" (Stevie Wonder)
"It's Gonna Take A Miracle" (Teddy Randazzo, Bobby Weinstein & Lou Staliman)
"Let It Whip" (Reggie Andrews, Leoon Chancler)
"Sexual Healing" (Marvin Gaye & O Brown)
"That Girl" (Stevie Wonder)
24th Grammy Awards
(held February 24, 1982)
"Just The Two Of Us"
(Bill Withers, William Salter & Ralph MacDonald)
[ from Winelight ] other nominees:
"Ai No Corrida" (Chas, Jankel & Kenny Young)
"Lady (You Bring Me Up)" (Harold Hudson, William King & Shirley King)
"She's A Bad Mama Jama" (Leon Haywood)
"When She Was My Girl" (Marc Blatte & Larry Gottlieb)
23rd Grammy Awards
(held February 25, 1981)
"Never Knew Love Like This Before"
(Reggie Lucas & James Mtume)
[ from Sweet Sensation ] other nominees:
"Give Me The Night" (Rod Temperton)
"Let's Get Serious" (Lee Garrett & Stevie Wonder)
"Shining Star" (Leo Graham & Paul Richmond)
"Upside Down" (Bernard Edwards & Nile Rodgers)
22nd Grammy Awards
(held February 27, 1980)
"After The Love Is Gone"
(David Foster, Jay Graydon & Bill Champlin)
[ from I Am ] other nominees:
"Ain't No Stoppin' Us Now" (Gene McFadden, John Whitehead & Jerry Cohen)
"Deja Vu" (Isaac Hayes & Adrienne Anderson)
"Reunited" (Dino Fekaris & Freddie Perren)
"We Are Family" (Nile Rodgers & Bernard Edwards)
21st Grammy Awards
(held February 15, 1979) "Last Dance"
(Paul Jabara)
[ from Live And More ]
20th Grammy Awards
(held February 23, 1978) "You Make Me Feel Like Dancing"
(Leo Sayer & Vini Poncia)
[ from Endless Flight ]
19th Grammy Awards
(held February 19, 1977) "Lowdown"
(Boz Scaggs)
[ from Silk Degrees ]
18th Grammy Awards
(held February 28, 1976) "Where Is The Love"
(Harry Wayne Casey, Richard Finch, Willie Clarke & Betty Wright)
[ from Roberta Flack & Donny Hathaway ]
17th Grammy Awards
(held March 1, 1975) "Living For The City"
(Stevie Wonder)
[ from Live And More ]
16th Grammy Awards
(held March 2, 1974) "Superstition"
(Stevie Wonder)
[ from Talking Book ]
15th Grammy Awards
(held March 3, 1973) "Papa Was A Rolling Stone"
(Barrett Strong & Norman Whitfield)
[ from All Directions ]
14th Grammy Awards
(held March 14, 1972) "Ain't No Sunshine"
(Bill Withers)
[ from Just As I Am ]
13th Grammy Awards
(held March 16, 1971) "Patches"
(Ronald Dunbar & General Johnson)
[ from Patches ]
12th Grammy Awards
(held March 11, 1970) "Color Him Father"
(Richard Spencer)
[ from Color Him Father ]
11th Grammy Awards
(held March 12, 1969) "(Sittin' On) The Dock Of The Bay"
(Otis Redding & Steve Cropper)
[ from The Dock Of The Bay ]
希望越来越多人可以一起分享。 我这里有几个版本的lies的谱子都发给你。 一： Verse C Am C Am |-------0-----------------------------0------------------| |-1-h-3------------1------------1-h-3------------1-------| |--------------------2-----------------------------2-----| |----------------------2-----------------------------2---| |-3----------------0------------3----------------0-------| |--------------------------------------------------------| I think it's time we give it up And figure out what's stopping us F C F C |-0-------------0---------0-----------0--------| |-1-------------1---------1-----------1--------| |-2-------------0---------2-----------0--------| |-3-------------0h2-------3-----------0h2------| |-0-------------3---------0-----------3--------| |-1-------------0---------1-----------0--------| From breathing easy and talking straight C Am C Am |-------0-----------------------------------0------------------| |-1-h-3------------1------------------1-h-3------------1-------| |--------------------2-----------------------------------2-----| |----------------------2-----------------------------------2---| |-3----------------0------------------3----------------0-------| |--------------------------------------------------------------| The way is clear if you're ready now The volunteer is slowing down F C F C |-0-------------0---------0-----------0--------| |-1-------------1---------1-----------1--------| |-2-------------0---------2-----------0--------| |-3-------------0h2-------3-----------0h2------| |-0-------------3---------0-----------3--------| |-1-------------0---------1-----------0--------| And taking time to save himself Bridge C Bb Am |-----------0----------------0------| |-----------1--------3-------1------| |-------------2------3-3------------| |---------0--------3-------2--------| |-------3--------1-------0----------| |-----------------------------------| The little cracks they escalate-d C Bb Am |-----------0----------------0------| |-----------1--------3-------1------| |-------------2------3-3------------| |---------0--------3-------2--------| |-------3--------1-------0----------| |-----------------------------------| And before you know it is too late F C F C G7 |-0-------------0---------0-----------0-----0---| |-1-------------1---------1-----------1-----1---| |-2-------------0---------2-----------0-----0---| |-3-------------0h2-------3-----------0h2---0---| |-0-------------3---------0-----------3-----2---| |-1-------------0---------1-----------0-----0---| For making circles and telling lies Chorus Am D G C G7 |-0-----------2----------------3--------------0-------0-| |-1-----------3----------------0--------------1-------1-| |-2-----------2----------------0--------------0-------0-| |-2-----------0----------------0--------------2-------0-| |-0-----------0----------------2--------------3-------2-| |-0-----------0----------------3--------------0-------0-| You're moving too fast for me And I can't keep up with you Am D G C G7 |-0------------2---------------3-------------------0---------0-| |-1------------3---------------0-------------------1---------1-| |-2------------2---------------0-------------------0---------0-| |-2------------0---------------0-------------------2---------0-| |-0------------0---------------2-------------------3---------2-| |-0------------0---------------3-------------------0---------0-| Maybe if you slowed down for me I could see you're only telling Am D F C G7 |-0----------2------0----------0-----0-----------------| |-1----------3------1----------1-----1-----------------| |-2----------2------2----------0-----0-----------------| |-2----------0------3----------2-----0-----------------| |-0----------0------0----------3-----2-----------------| |-0----------0------1----------0-----0-----------------| Lies, lies, lies Breaking us down with your Am D F C Bb Am |-0---------2-------0---------------0--------0--------0---| |-1---------3-------1---------------1--------3--------1---| |-2---------2-------2-----------------2--------3--------2-| |-2---------0-------3-------------0--------3--------2-----| |-0---------0-------0-----------3--------1--------0-------| |-0---------0-------1-------------------------------------| Lies, lies, lies When will you learn C Am C Am |-------0-----------------------------0------------------| |-1-h-3------------1------------1-h-3------------1-------| |--------------------2-----------------------------2-----| |----------------------2-----------------------------2---| X2 |-3----------------0------------3----------------0-------| |--------------------------------------------------------| Bridge C Bb Am |-----------0----------------0------| |-----------1--------3-------1------| |-------------2------3-3------------| |---------0--------3-------2--------| |-------3--------1-------0----------| |-----------------------------------| The little cracks they escalate-d C Bb Am |-----------0----------------0------| |-----------1--------3-------1------| |-------------2------3-3------------| |---------0--------3-------2--------| |-------3--------1-------0----------| |-----------------------------------| And before you know it is too late F C F C G7 |-0-------------0---------0-----------0-----0---| |-1-------------1---------1-----------1-----1---| |-2-------------0---------2-----------0-----0---| |-3-------------0h2-------3-----------0h2---0---| |-0-------------3---------0-----------3-----2---| |-1-------------0---------1-----------0-----0---| For making circles and telling lies Chorus Am D G C G7 |-0-----------2----------------3--------------0-------0-| |-1-----------3----------------0--------------1-------1-| |-2-----------2----------------0--------------0-------0-| |-2-----------0----------------0--------------2-------0-| |-0-----------0----------------2--------------3-------2-| |-0-----------0----------------3--------------0-------0-| You're moving too fast for me And I can't keep up with you Am D G C G7 |-0------------2---------------3-------------------0---------0-| |-1------------3---------------0-------------------1---------1-| |-2------------2---------------0-------------------0---------0-| |-2------------0---------------0-------------------2---------0-| |-0------------0---------------2-------------------3---------2-| |-0------------0---------------3-------------------0---------0-| Maybe if you slowed down for me I could see you're only telling Am D F C G7 |-0----------2------0----------0-----0-----------------| |-1----------3------1----------1-----1-----------------| |-2----------2------2----------0-----0-----------------| |-2----------0------3----------2-----0-----------------| |-0----------0------0----------3-----2-----------------| |-0----------0------1----------0-----0-----------------| Lies, lies, lies Breaking us down with your Am D F C Bb Am |-0---------2-------0---------------0--------0--------0---| |-1---------3-------1---------------1--------3--------1---| |-2---------2-------2-----------------2--------3--------2-| |-2---------0-------3-------------0--------3--------2-----| |-0---------0-------0-----------3--------1--------0-------| |-0---------0-------1-------------------------------------| Lies, lies, lies When will you learn Outro: C Am C Am |-------0-----------------------------------0------------------| |-1-h-3------------------1------------1-h-3------------1-------| |--------------------------2-----------------------------2-----| |----------------------------2-----------------------------2---| |-3----------------------0------------3----------------0-------| |--------------------------------------------------------------| So plant the thought and watch it grow Wind it up and let it go 二： think it's time, we give it up C Am And figure out what's stopping us F C F C From breathing easy, and talking straight C Am The way is clear if you're ready now C Am The volunteer is slowing down F C F C And taking time to save himself C A# Am The little cracks they escalated C A# Am And before you know it is too late F C F C B‘ For making circles and telling lies Am D You're moving too fast for me G C B‘ And I can't keep up with you Am D Maybe if you slowed down for me G C B‘ I could see you're only telling Am D Lies, lies, lies F C B‘ Breaking us down with your Am D Lies, lies, lies F C B‘ Am When will you learn C Am C Am C A# Am The little cracks they escalated C A# Am And before you know it is too late F C F C B‘ For making circles and telling lies Am D You're moving too fast for me G C B‘ And I can't keep up with you Am D Maybe if you slowed down for me G C B‘ I could see you're only telling Am D Lies, lies, lies F C B‘ Breaking us down with your Am D Lies, lies, lies F C B‘ Am When will you learn C Am So plant the thought and watch it grow C Am Wind it up and let it go B‘ e|-0– B|-1– G|-0– D|-0– A|-2– E|-x–
美国数学本科生，研究生基础课程参考书目
第一学年
几何与拓扑：
1、James R Munkres, Topology：较新的拓扑学的教材适用于本科高年级或研究生一年级；
2、Basic Topology by Armstrong：本科生拓扑学教材；
3、Kelley, General Topology：一般拓扑学的经典教材，不过观点较老；
4、Willard, General Topology：一般拓扑学新的经典教材；
5、Glen Bredon, Topology and geometry：研究生一年级的拓扑、几何教材；
6、Introduction to Topological Manifolds by John M Lee：研究生一年级的拓扑、几何教材，是一本新书；
7、From calculus to cohomology by Madsen：很好的本科生代数拓扑、微分流形教材。
代数：
1、Abstract Algebra Dummit：最好的本科代数学参考书，标准的研究生一年级代数教材；
2、Algebra Lang：标准的研究生一、二年级代数教材，难度很高，适合作参考书；
3、Algebra Hungerford：标准的研究生一年级代数教材，适合作参考书；
4、Algebra M,Artin：标准的本科生代数教材；
5、Advanced Modern Algebra by Rotman：较新的研究生代数教材，很全面；
6、Algebra：a graduate course by Isaacs：较新的研究生代数教材；
7、Basic algebra Vol I&II by Jacobson：经典的代数学全面参考书，适合研究生参考。
分析基础：
1、Walter Rudin, Principles of mathematical analysis：本科数学分析的标准参考书；
2、Walter Rudin, Real and complex analysis：标准的研究生一年级分析教材；
3、Lars V Ahlfors, Complex analysis：本科高年级和研究生一年级经典的复分析教材；
4、Functions of One Complex Variable I，JBConway：研究生级别的单变量复分析经典；
5、Lang, Complex analysis：研究生级别的单变量复分析参考书；
6、Complex Analysis by Elias M Stein：较新的研究生级别的单变量复分析教材；
7、Lang, Real and Functional analysis：研究生级别的分析参考书；
8、Royden, Real analysis：标准的研究生一年级实分析教材；
9、Folland, Real analysis：标准的研究生一年级实分析教材。
第二学年
代数：
1、Commutative ring theory, by H Matsumura：较新的研究生交换代数标准教材；
2、Commutative Algebra I&II by Oscar Zariski , Pierre Samuel：经典的交换代数参考书；
3、An introduction to Commutative Algebra by Atiyah：标准的交换代数入门教材；
4、An introduction to homological algebra ,by weibel：较新的研究生二年级同调代数教材；
5、A Course in Homological Algebra by PJHilton,UStammbach：经典全面的同调代数参考书；
6、Homological Algebra by Cartan：经典的同调代数参考书；
7、Methods of Homological Algebra by Sergei I Gelfand, Yuri I Manin：高级、经典的同调代数参考书；
8、Homology by Saunders Mac Lane：经典的同调代数系统介绍；
9、Commutative Algebra with a view toward Algebraic Geometry by Eisenbud：高级的代数几何、交换代数的参考书，最新的交换代数全面参考。
代数拓扑：
1、Algebraic Topology, A Hatcher：最新的研究生代数拓扑标准教材；
2、Spaniers “Algebraic Topology”：经典的代数拓扑参考书；
3、Differential forms in algebraic topology, by Raoul Bott and Loring W Tu：研究生代数拓扑标准教材；
4、Massey, A basic course in Algebraic topology：经典的研究生代数拓扑教材；
5、Fulton , Algebraic topology：a first course：很好本科生高年级和研究生一年级的代数拓扑参考书；
6、Glen Bredon, Topology and geometry：标准的研究生代数拓扑教材，有相当篇幅讲述光滑流形；
7、Algebraic Topology Homology and Homotopy：高级、经典的代数拓扑参考书；
8、A Concise Course in Algebraic Topology by JPMay：研究生代数拓扑的入门教材，覆盖范围较广；
9、Elements of Homotopy Theory by GW Whitehead：高级、经典的代数拓扑参考书。
实分析、泛函分析：
1、Royden, Real analysis：标准研究生分析教材；
2、Walter Rudin, Real and complex analysis：标准研究生分析教材；
3、Halmos，”Measure Theory”：经典的研究生实分析教材，适合作参考书；
4、Walter Rudin, Functional analysis：标准的研究生泛函分析教材；
5、Conway,A course of Functional analysis：标准的研究生泛函分析教材； 6、Folland, Real analysis：标准研究生实分析教材；
7、Functional Analysis by Lax：高级的研究生泛函分析教材；
8、Functional Analysis by Yoshida：高级的研究生泛函分析参考书；
9、Measure Theory, Donald L Cohn：经典的测度论参考书。
微分拓扑 李群、李代数
1、Hirsch, Differential topology：标准的研究生微分拓扑教材，有相当难度；
2、Lang, Differential and Riemannian manifolds：研究生微分流形的参考书，难度较高；
3、Warner,Foundations of Differentiable manifolds and Lie groups：标准研究生微分流形教材，有相当的篇幅讲述李群；
4、Representation theory: a first course, by W Fulton and J Harris：李群及其表示论标准教材；
5、Lie groups and algebraic groups, by A L Onishchik, E B Vinberg：李群的参考书；
6、Lectures on Lie Groups WYHsiang：李群的参考书；
7、Introduction to Smooth Manifolds by John M Lee：较新的关于光滑流形的标准教材；
8、Lie Groups, Lie Algebras, and Their Representation by VS Varadarajan：最重要的李群、李代数参考书；
9、Humphreys, Introduction to Lie Algebras and Representation Theory , SpringerVerlag, GTM9：标准的李代数入门教材。
第三学年
微分几何：
1、Peter Petersen, Riemannian Geometry：标准的黎曼几何教材；
2、Riemannian Manifolds: An Introduction to Curvature by John M Lee：最新的黎曼几何教材；
3、doCarmo, Riemannian Geometry：标准的黎曼几何教材；
4、M Spivak, A Comprehensive Introduction to Differential Geometry I—V：全面的微分几何经典，适合作参考书；
5、Helgason , Differential Geometry,Lie groups,and symmetric spaces：标准的微分几何教材；
6、Lang, Fundamentals of Differential Geometry：最新的微分几何教材，很适合作参考书；
7、kobayashi/nomizu, Foundations of Differential Geometry：经典的微分几何参考书；
8、Boothby,Introduction to Differentiable manifolds and Riemannian Geometry：标准的微分几何入门教材，主要讲述微分流形；
9、Riemannian Geometry IChavel：经典的黎曼几何参考书；
10、Dubrovin, Fomenko, Novikov “Modern geometry-methods and applications”Vol 1—3：经典的现代几何学参考书。
代数几何：
1、Harris,Algebraic Geometry: a first course：代数几何的入门教材；
2、Algebraic Geometry Robin Hartshorne ：经典的代数几何教材，难度很高；
3、Basic Algebraic Geometry 1&2 2nd ed IRShafarevich：非常好的代数几何入门教材；
4、Principles of Algebraic Geometry by giffiths/harris：全面、经典的代数几何参考书，偏复代数几何；
5、Commutative Algebra with a view toward Algebraic Geometry by Eisenbud：高级的代数几何、交换代数的参考书，最新的交换代数全面参考；
6、The Geometry of Schemes by Eisenbud：很好的研究生代数几何入门教材；
7、The Red Book of Varieties and Schemes by Mumford：标准的研究生代数几何入门教材；
8、Algebraic Geometry I : Complex Projective Varieties by David Mumford：复代数几何的经典。
调和分析 偏微分方程
1、An Introduction to Harmonic Analysis,Third Edition Yitzhak Katznelson：调和分析的标准教材，很经典；
2、Evans, Partial differential equations：偏微分方程的经典教材；
3、AlekseiADezin，Partial differential equations，Springer-Verlag：偏微分方程的参考书；
4、L Hormander “Linear Partial Differential Operators, ” I&II：偏微分方程的经典参考书；
5、A Course in Abstract Harmonic Analysis by Folland：高级的研究生调和分析教材；
6、Abstract Harmonic Analysis by Ross Hewitt：抽象调和分析的经典参考书；
7、Harmonic Analysis by Elias M Stein：标准的研究生调和分析教材；
8、Elliptic Partial Differential Equations of Second Order by David Gilbarg：偏微分方程的经典参考书；
9、Partial Differential Equations ，by Jeffrey Rauch：标准的研究生偏微分方程教材。
复分析 多复分析导论
1、Functions of One Complex Variable II，JBConway：单复变的经典教材，第二卷较深入；
2、Lectures on Riemann Surfaces OForster：黎曼曲面的参考书；
3、Compact riemann surfaces Jost：黎曼曲面的参考书；
4、Compact riemann surfaces Narasimhan：黎曼曲面的参考书；
5、Hormander ” An introduction to Complex Analysis in Several Variables”：多复变的标准入门教材；
6、Riemann surfaces , Lang：黎曼曲面的参考书；
7、Riemann Surfaces by Hershel M Farkas：标准的研究生黎曼曲面教材；
8、Function Theory of Several Complex Variables by Steven G Krantz：高级的研究生多复变参考书；
9、Complex Analysis: The Geometric Viewpoint by Steven G Krantz：高级的研究生复分析参考书。
专业方向选修课：
1、多复分析；2、复几何；3、几何分析；4、抽象调和分析；5、代数几何；6、代数数论；7、微分几何；8、代数群、李代数与量子群；9、泛函分析与算子代数；10、数学物理；11、概率理论；12、动力系统与遍历理论；13、泛代数。
数学基础：
1、halmos ,native set theory；
2、fraenkel ,abstract set theory；
3、ebbinghaus ,mathematical logic；
4、enderton ,a mathematical introduction to logic；
5、landau, foundations of analysis；
6、maclane ,categories for working mathematican。应该在核心课程学习的过程中穿插选修
假设本科应有的水平
分析：
Walter Rudin, Principles of mathematical analysis；
Apostol , mathematical analysis；
Mspivak , calculus on manifolds；
Munkres ,analysis on manifolds；
Kolmogorov/fomin , introductory real analysis；
Arnold ,ordinary differential equations。
代数：
linear algebra by Stephen H Friedberg；
linear algebra by hoffman；
linear algebra done right by Axler；
advanced linear algebra by Roman；
algebra ,artin；
a first course in abstract algebra by rotman。
几何：
do carmo, differential geometry of curves and surfaces；
Differential topology by Pollack；
Hilbert ,foundations of geometry；
James R Munkres, Topology。
Cold copper tears - Glen Cookmobi
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