Friday 31 October 2014

If you want to get better in Maths !



These are copious amount of Lecture Note URLs to study Mathematics at graduate level left in the WWW domain for students. Whatsoever be the number of lecture note URLs, students are advised to buy and study from standard text books as prescribed by their Lecturers/Professors or as prescribed by university course and they should also study via these lecture notes parallely. If you have any idea or suggestion to improve this NOTE then you are most welcome.



  • Real Analysis
  1. http://ramanujan.math.trinity.edu/wtrench/texts/TRENCH_REAL_ANALYSIS.PDF
  2. http://www.math.harvard.edu/~ctm/home/text/class/harvard/114/07/html/home/course/course.pdf
  3. https://www.math.lsu.edu/~sengupta/4031f06/IntroRealAnalysNotes.pdf
  4. http://www.math.mcmaster.ca/courses/20112012/term1/math721/M721%20Advanced%20Real%20Analysis%20Sept%2028.pdf
  5.  http://www.indiana.edu/~mathwz/PRbook.pdf
  6. http://www.math.louisville.edu/~lee/RealAnalysis/realanalysis.html
  7. http://em.fis.unam.mx/~mochan/analisis.html
  8. http://www.pages.drexel.edu/~gln22/Lecture%20Notes%20on%20Introductory%20Real%20Analysis.htm
  9. http://www.jirka.org/ra/
  10. http://www.math.ucla.edu/~tao/245a.1.10f/

  • Complex Analysis
  1. http://math.sfsu.edu/beck/papers/complex.pdf
  2. https://www.math.lsu.edu/~neubrand/notes.pdf
  3. http://infohost.nmt.edu/~iavramid/notes/complanal.pdf 
  4. http://www.maths.tcd.ie/~dwilkins/Courses/214/
  5. http://math.sfsu.edu/beck/complex.html
  6. http://www.maths.manchester.ac.uk/~cwalkden/complex-analysis/complex-analysis.html
  7. http://www.mth.kcl.ac.uk/courses/cm322.html
  8. http://www.math.ucla.edu/~tao/resource/general/132.1.00w/
  9. http://homepage.ntlworld.com/ivan.wilde/notes/

  • Vector Analysis 
  1. http://tutorial.math.lamar.edu/Classes/CalcI/CalcI.aspx
  2. http://tutorial.math.lamar.edu/Classes/CalcII/CalcII.aspx/
  3. http://www.matthewhutton.com/files/VA%20Notes.pdf
  4. http://www.archim.org.uk/lecturenotes/ia/VC_2000.pdf
  5. http://www.mecmath.net/calc3book.pdf 
  6. http://www.math.caltech.edu/~dinakar/Vector%20Calculus%20Notes.pdf
  7. http://www.math.oregonstate.edu/home/programs/undergrad/CalculusQuestStudyGuides/vcalc/vcalc.html
  8. http://www.math.umn.edu/~frank/multivar/Fall2003/
  9. http://ltcconline.net/greenl/courses/202/202.htm
  10. http://dtc.pima.edu/~hacker/vectorcalc/vectorcalc.htm
  11. http://www.learnerstv.com/Free-Maths-Video-lectures-ltv452-Page1.htm
  12. http://tutorial.math.lamar.edu/Classes/CalcIII/CalcIII.aspx

  • Functional Analysis 
  1. http://www.maths.lancs.ac.uk/~belton/www/notes/fa_notes.pdf
  2. http://www.uea.ac.uk/~h720/teaching/functionalanalysis/materials/FAnotes.pdf
  3. http://www.ima.umn.edu/~arnold/502.s97/functional.pdf
  4. http://www.math.ou.edu/~cremling/teaching/ln.html
  5. http://www.math.umn.edu/~garrett/m/fun/
  6. http://math.mit.edu/~rbm/
  7. http://www.uea.ac.uk/~h720/teaching/functionalanalysis/
  8. http://www.e-booksdirectory.com/listing.php?category=47
  9. http://www.freescience.info/go.php?pagename=books&id=1093

  • Mathematical Analysis 
  1. http://maths.anu.edu.au/~rennie/Analysis-1.pdf
  2. http://cis01.central.ucv.ro/site/Vol1-DifferentialCalculus.pdf
  3. http://www.webskate101.com/webnotes/home.htmld/home.html
  4. http://www.fen.bilkent.edu.tr/~kocatepe/MATH215LectureNotes.pdf
  5. http://www.math.ucdavis.edu/~emsilvia/math127/math127.html
  6. http://math.la.asu.edu/~kaz/mat473/12s/
  7. http://cs.unitbv.ro/~pascu/analysis.php
  8. http://maths.anu.edu.au/~john/lecture_notes.html
  9. http://www.e-booksdirectory.com/listing.php?category=34
  10. http://www.math.mcgill.ca/jaksic/MATH255.html
  11. http://math.swansonsite.com/analysis.html


  • Linear Algebra  
  1. http://www.math.byu.edu/~klkuttle/linearalgebra.pdf 
  2. http://www.math.ubc.ca/~carrell/NB.pdf
  3. http://www.math.ucdavis.edu/~linear/linear.pdf 
  4. http://www.math.brown.edu/~treil/papers/LADW/LADW.pdf  
  5. http://www.numbertheory.org/book/
  6. http://www.ams.sunysb.edu/~andant/ams210-lec.html
  7. http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/
  8. http://tutorial.math.lamar.edu/Classes/LinAlg/LinAlg.aspx
  9. http://www.math.ucla.edu/~tao/resource/general/115a.3.02f/

  • Modern and Classical Analysis  
  1. http://yaroslavvb.com/papers/books/Smith-Primer%20of%20Modern%20Analysis-Part3.pdf
  2. http://www.mathematik.uni-bielefeld.de/~rehmann/ECM/cdrom/3ecm/pdfs/pant3/urbano.pdf
  3. http://www.scribd.com/doc/53408614/Introduction-to-Topology-and-Modern-Analysis
  4. http://www.math.ust.hk/~machiang/391N/Classical_Analysis.pdf
  5. http://www.cems.uvm.edu/~cooke/analysis.pdf 
  6. http://brazosfellowship.com/data/cool-ebooks-Lectures-in-Modern-Analysis-and-Applications-III-115050.html
  7. http://math.mit.edu/~vwg/
  8. http://www.math.caltech.edu/~2011-12/1term/ma108a/
  9. http://heidedn.over-blog.com/pages/lectures-in-modern-analysis-and-applications-iii-book-downloads-8065084.html
  10. http://www.scribd.com/doc/53511463/Lectures-in-Modern-Analysis-and-Applications-II-Lecture-Notes-in-Mathematics-No-10
  11. http://arxiv.org/abs/math/0604089
  12. http://arxiv.org/abs/math.CA/9509223
  13. http://arxiv.org/abs/1009.3419
  14. http://front.math.ucdavis.edu/math.CA

  • Abstract Algebra 
  1. http://www.math.umn.edu/~garrett/m/intro_algebra/notes.pdf 
  2. http://www.math.purdue.edu/~dvb/algebra/algebra.pdf
  3. http://www.math.niu.edu/~beachy/abstract_algebra_2ed/guide/guide.pdf
  4. http://www.math.utoledo.edu/~dbastos/files/algebra.pdf
  5. http://www.maths.tcd.ie/~dwilkins/Courses/311/
  6. http://www.pages.drexel.edu/~gln22/lecture_notes_on_abstract_algebr.htm
  7. http://www.mth.kcl.ac.uk/courses/cm121.html
  8. http://www.jmilne.org/math/CourseNotes/
  9. http://homepages.warwick.ac.uk/~maseap/teaching/aa/aa.html
  10. http://homepages.warwick.ac.uk/~maseap/teaching/aa12/aa12.html
  11. http://www.learnerstv.com/Free-Maths-Video-lectures-ltv590-Page1.htm
  12. http://user.math.uzh.ch/halbeisen/4students/gt.html
  13. http://www.maths.nuigalway.ie/MA416/

  • Groups, Rings and Fields 
  1.  http://www.jmilne.org/math/CourseNotes/GT.pdf
  2.  http://www.geometer.org/rubik/group.pdf
  3.  http://www.win.tue.nl/~amc/ow/gpth/reader.pdf
  4.  http://homepages.math.uic.edu/~grizzard/Professional/WCgroup.pdf
  5.  http://www.math.iitb.ac.in/atm/atmt1/jkv.pdf
  6.  http://www3.ntu.edu.sg/home/Frederique/chap2.pdf
  7.  http://www.jmilne.org/math/CourseNotes/CFT310.pdf
  8.  http://www.lorentz.leidenuniv.nl/~vanbaal/FTcourse.html
  9.  http://www.lorentz.leidenuniv.nl/~vanbaal/FTcourse.html 
  10. http://www-thphys.physics.ox.ac.uk/people/JamesBinney/lectures.html
  11. http://www.maths.usyd.edu.au/u/bobh/UoS/

  • COMBINATORIAL OPTIMIZATION and Matroids  ( COMMUTATIVE ALGEBRA ) 
  1. http://users.eecs.northwestern.edu/~nickle/combOpt/index.html
  2. http://www.mast.queensu.ca/~ahhoefel/pub/ccas/
  3. http://math.mit.edu/~goemans/18433.html
  4. http://www.math.washington.edu/~billey/classes/582/bulletins/wilson.matroids.pdf
  5. http://www.whitman.edu/mathematics/SeniorProjectArchive/2008/hillman.pdf
  6. https://www.math.lsu.edu/~oxley/survey4.pdf 
  7. http://math.sfsu.edu/federico/Clase/Matroids/lectures.html
  8. http://users.eecs.northwestern.edu/~nickle/combOpt/index.html
  9. http://www.math.umn.edu/~reiner/Talks/Vienna05/Lectures.pdf
  10. http://www.math.uga.edu/~pete/MATH8020.html
  11. http://www.math.cmu.edu/users/jcumming/teaching/commalg05/

  • Algebraic Structures 
  1. http://www.maths.qmul.ac.uk/~pjc/notes/algstr.pdf
  2. http://www.math.niu.edu/~beachy/courses/520.html
  3. http://www.cs.ubc.ca/~nickhar/Publications/AlgebraicMatching/AlgebraicMatching.pdf 
  4. http://homepage.lnu.se/staff/psvmsi/2MA105.html
  5. http://www.math.niu.edu/~beachy/courses/520.html
  6. http://www.ma.huji.ac.il/~sefil/TA/2005/struct/struct.html

  • Symmetries 
  1. http://math.mit.edu/~apost/papers/symmetries.pdf
  2. ftp://ftp.cs.wisc.edu/Approx/symmetries.pdf
  3. http://www.math.ubc.ca/~cass/symmetry.pdf 
  4. http://www.math.umn.edu/~olver/s_/v.pdf 
  5. http://www.math.columbia.edu/~bayer/F03/symmetry/
  6. http://hans.math.upenn.edu/~galois/

  • Algebraic Topology 
  1. http://www.math.uchicago.edu/~may/CONCISE/ConciseRevised.pdf
  2. http://www.maths.tcd.ie/~dwilkins/Courses/421/
  3. http://www.math.muni.cz/~cadek/at/at.pdf
  4. http://arxiv.org/list/math.AT/current  
  5. http://math.ucr.edu/home/baez/algebraic_topology/
  6. http://ocw.mit.edu/courses/mathematics/18-906-algebraic-topology-ii-spring-2006/lecture-notes/
  7. http://www.ams.org/bookstore/pspdf/gsm-35-prev.pdf
  8. http://math.berkeley.edu/~auroux/215Bs12/

  • Geometric Topology 
  1. http://www.maths.ed.ac.uk/~aar/books/gtop.pdf
  2. http://fds.oup.com/www.oup.co.uk/pdf/0-19-851597-9.pdf
  3. http://arxiv.org/list/math.GT/current
  4. http://www.math.harvard.edu/~ctm/home/text/class/harvard/99r/03/html/home/course/course.pdf  
  5. http://www.wfu.edu/~parslerj/math733/note.html
  6. http://www.tylerclark12.com/blog/resources-for-students/course-notes/geometric-topology-course-notes/
  7. http://www.math.rutgers.edu/~sferry/ps/geotop.pdf
  8. http://www.math.ucdavis.edu/~deloera/MISC/BIBLIOTECA/trunk/MacPherson/MacPherson4.pdf
  9. http://www.math.harvard.edu/~lurie/937.html
  10. http://www.msp.warwick.ac.uk/agt/2012/12-01/b024.xhtml

  • Gauge Theory(ies)
  1. http://psroc.phys.ntu.edu.tw/cjp/v30/955.pdf
  2. http://www2.warwick.ac.uk/fac/sci/physics/current/teach/module_home/px430
  3. http://www.claymath.org/millennium/Yang-Mills_Theory/yangmills.pdf
  4. http://math.ucr.edu/home/baez/qg-winter2005/group.pdf
  5. http://arxiv.org/pdf/hep-th/9910190.pdf 
  6. http://www.scholarpedia.org/article/Gauge_theories
  7. http://arxiv.org/abs/math-ph/9902027


  • Tensor Analysis 
  1. http://samizdat.mines.edu/tensors/ShR6b.pdf
  2. http://www.math.princeton.edu/~nelson/books/ta.pdf
  3. http://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/20050175884_2005173651.pdf
  4. http://assets.cambridge.org/97805216/52278/excerpt/9780521652278_excerpt.pdf
  5. http://www.teorfys.uu.se/people/minahan/Courses/SR/tensors.pdf
  6. http://kolxo3.tiera.ru/M_Mathematics/MC_Calculus/MCta_Tensor%20calculus,%20forms/Shapiro%20I.L.%20Lecture%20notes%20on%20vector%20and%20tensor%20algebra%20and%20analysis%20(draft,%202004)(89s)_MCta_.pd
  7. http://arxiv.org/pdf/math/0403252.pdf
  8. http://www.win.tue.nl/~rvhassel/Onderwijs/Tensor-ConTeX-Bib/Translated_Tensor.pdf
  9. http://www.math.odu.edu/~jhh/counter2.html
  10. http://www.grc.nasa.gov/WWW/K-12/Numbers/Math/documents/Tensors_TM2002211716.pdf

  • Point Set Topology 
  1. http://www.math.cornell.edu/~hatcher/Top/TopNotes.pdf
  2. http://home.imf.au.dk/marcel/gentop/noter.pdf
  3. http://match.stanford.edu/bump/math171/topology.pdf
  4. http://math.ou.edu/~amiller/4853/TopologyNotes.pdf
  5. http://www.grc.nasa.gov/WWW/k-12/Numbers/Math/Mathematical_Thinking/blackhl.htm 
  6. http://www.tylerclark12.com/blog/resources-for-students/course-notes/point-set-topology-course-notes/
  7. http://www.millersville.edu/~bikenaga/topology/topology-notes.html

  • Number Theory 
  1. http://www.artofproblemsolving.com/Resources/Papers/SatoNT.pdf
  2. http://www.jmilne.org/math/CourseNotes/ANT.pdf
  3. http://wstein.org/ent/ent.pdf
  4. http://www.macalester.edu/~hutchinson/book/chapter4.pdf 
  5. http://www.numbertheory.org/ntw/lecture_notes.html

  • Discrete Mathematics 
  1. http://www.cs.tau.ac.il/~odedr/teaching/discrete_math_fall_2005/dmbook.pdf
  2. http://home.iitk.ac.in/~arlal/book/mth202.pdf
  3. http://www.abstractmath.org/MM/dm.pdf  
  4. http://www.scribd.com/doc/7736026/Lecture-Notes-in-Discrete-Mathematics
  5. http://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-042j-mathematics-for-computer-science-fall-2005/

  • Non Commutative Geometry 
  1. http://www.math.vanderbilt.edu/~bisch/ncgoa04/talks/masoud_khalkhali.pdf
  2. http://www.claymath.org/library/proceedings/cmip06.pdf
  3. http://alainconnes.org/docs/einsymp.pdf
  4. http://arxiv.org/abs/1005.1174
  5. http://www.math.fsu.edu/~marcolli/NCGindex.html 
  6. http://arxiv.org/abs/hep-th/9701078/
  7. www.math.utexas.edu/~benzvi/GRASP/lectures/NCconf.html
  8. http://imperium.lenin.ru/~kaledin/math/tokyo/

  • Discrete Geometry 
  1. http://www.claremontmckenna.edu/pages/faculty/lenny/papers/m149_notes.pdf
  2. http://www.intlpress.com/books/_preview/9781571461919.pdf
  3. http://russell.lums.edu.pk/~cs611s09/lectures.html
  4. http://www.dmg.tuwien.ac.at/gruber/gruber_arbeiten/convex_and_discrete_geometry.pdf
  5. http://geometry.caltech.edu/pubs/GSD06.pdf
  6. http://yvettehba.over-blog.com/pages/downloads-lectures-on-discrete-geometry-book-7899864.html

  • Differential Geometry 
  1. http://people.uncw.edu/lugo/courses/diffgeom/dg1.pdf
  2. http://www.math.uga.edu/~shifrin/ShifrinDiffGeo.pdf
  3. http://www.astrohandbook.com/ch10/differential_geometry.pdf
  4. http://people.math.gatech.edu/~ghomi/LectureNotes/index.html
  5. http://www.cis.upenn.edu/~jean/gbooks/manif.html
  6. http://people.math.gatech.edu/~ghomi/LectureNotes/index.html
  7. http://www.wisdom.weizmann.ac.il/~yakov/Geometry/
  8. http://www.cs.elte.hu/geometry/csikos/dif/dif.html
  9. http://ocw.mit.edu/courses/mathematics/18-950-differential-geometry-fall-2008/lecture-notes/
  10. http://www.matematik.lu.se/matematiklu/personal/sigma/Geometry-on-web.html
  11. http://people.hofstra.edu/Stefan_Waner/diff_geom/tc.html
  12. http://www1.maths.leeds.ac.uk/pure/geometry/

  • Manifolds
  1. http://www.nd.edu/~lnicolae/Lectures.pdf
  2. http://www.math.washington.edu/~lee/Books/Smooth/c01.pdf
  3. http://www.mpfiltricanada.com/pdf/9_manifolds.pdf
  4. http://www.few.vu.nl/~vdvorst/diffgeom1b.pdf
  5. http://www.math.cornell.edu/~hatcher/3M/3M.pdf
  6. http://ocw.mit.edu/courses/mathematics/18-965-geometry-of-manifolds-fall-2004/lecture-notes/
  7. http://www.math.cornell.edu/~sjamaar/classes/3210/notes.html
  8. http://ocw.mit.edu/courses/mathematics/18-965-geometry-of-manifolds-fall-2004/lecture-notes/
  9. http://ocw.mit.edu/courses/mathematics/18-966-geometry-of-manifolds-spring-2007/lecture-notes/
  10. http://www.math.columbia.edu/~neumann/preprints/budfinal.pdf

  • Ordinary and Partial Differential Equations 
  1. http://www.math.iitb.ac.in/~siva/afs07.pdf
  2. http://www.math.cornell.edu/~bterrell/dn.pdf
  3. http://ocw.mit.edu/courses/mathematics/18-03-differential-equations-spring-2010/ 
  4. http://www-solar.mcs.st-and.ac.uk/~alan/MT2003/PDE/PDE.html 
  5. http://math.berkeley.edu/~evans/

  • Mathematical Methods 
  1. http://nd.edu/~powers/ame.60611/M.pdf
  2. http://www.mpipks-dresden.mpg.de/~jochen/methoden/outline.html
  3. http://www.physics.miami.edu/~nearing/mathmethods/
  4. http://physics.bgu.ac.il/~gedalin/Teaching/Mater/mmp.pdf
  5. http://www.math.leidenuniv.nl/~kooman/problem_setMMP.pdf
  6. http://www.math.umn.edu/~voronov/18.276/
  7. http://infohost.nmt.edu/~iavramid/notes/mathphys.pdf
  8. http://people.uncw.edu/hermanr/phy311/MathPhysBook/index.htm 
  9. http://arxiv.org/abs/1203.4558

  • Algebraic Surfaces 
  1. http://arxiv.org/abs/alg-geom/9602006
  2. http://www-math.sp2mi.univ-poitiers.fr/~sarti/corso_Perego.pdf
  3. http://ocw.mit.edu/courses/mathematics/18-727-topics-in-algebraic-geometry-algebraic-surfaces-spring-2008/lecture-notes/ 
  4. http://homepages.warwick.ac.uk/~masda/surf/ParkC/
  5. http://ocw.mit.edu/courses/mathematics/18-727-topics-in-algebraic-geometry-algebraic-surfaces-spring-2008/lecture-notes/
  6. http://math.stanford.edu/~vakil/02-245/
  7. http://math.stanford.edu/~vakil/725/course.html
  8. http://www.fen.bilkent.edu.tr/~franz/LN/LN-algeo.html
  9. http://www.mathematik.uni-kl.de/~gathmann/class/alggeom-2002/main.pdf
  10. http://ocw.mit.edu/courses/mathematics/18-726-algebraic-geometry-spring-2009/lecture-notes/
  11. http://www.math.rice.edu/~hassett/teaching/465spring02/465lec.html
  12. http://math.stanford.edu/~vakil/0506-216/

  • Banach Algebras( and Spaces )
  1. http://www.maths.tcd.ie/~levene/442C/?notes
  2. http://www.math.ucsd.edu/~bdriver/240A-C-03-04/240_lecture_notes.htm
  3. http://matematicas.univalle.edu.co/~juancamg/Banach2.pdf
  4. http://www.math.ucdavis.edu/~hunter/book/ch5.pdf 
  5. http://homepage.ntlworld.com/ivan.wilde/notes/fa1/fa1.pdf
  6. http://www.imsc.res.in/xmlui/handle/123456789/168

  • Linear Dynamical systems/Chaotic dynamical Systems and Fractals
  1. http://www.stanford.edu/~boyd/ee263/reader/ee263_course_reader.pdf
  2. http://www.ams.jhu.edu/~ers/book.pdf
  3. http://catdir.loc.gov/catdir/samples/cam033/2001052863.pdf
  4. http://ipht.cea.fr/Pisp/stephane.nonnenmacher/notesSD-en.pdf
  5. http://ifts.zju.edu.cn/~xingangwang/Course2010/download/Yorke-chaos.pdf
  6. http://www.brotherstechnology.com/docs/fractals.pdf
  7. http://www.math.nus.edu.sg/aslaksen/gem-projects/maa/World_of_Fractal.pdf
  8. http://www.fractovia.org/art/pdf/nature_or_fractals.pdf
  9. http://homepages.warwick.ac.uk/~masdbl/dimension-total.pdf
  10. http://classes.yale.edu/fractals/Aut11/Aut11DailyNotes.html 


  • Set Theory, Logic And Probability
  1. http://www.comp.nus.edu.sg/~fstephan/settheory.pdf
  2. http://www.math.toronto.edu/weiss/set_theory.pdf
  3. http://www.scribd.com/doc/25318637/Set-Theory-Lecture-Notes
  4. http://www.math.ucla.edu/~ineeman/223s.1.11s/
  5. http://people.umass.edu/partee/NZ_2006/Set%20Theory%20Basics.pdf
  6. http://homepages.math.uic.edu/~marker/math512/dst.pdf
  7. http://www.math.psu.edu/simpson/notes/logic.pdf
  8. http://www.math.umn.edu/~jodeit/course/ACaRA01.pdf
  9. http://www.cs.utexas.edu/~vl/teaching/388Lnotes.pdf
  10. http://www.algebraworkbench.net/download/n41main.pdf
  11. http://www.maths.qmul.ac.uk/~pjc/notes/prob.pdf
  12. http://www.dartmouth.edu/~chance/teaching_aids/books_articles/probability_book/amsbook.mac.pdf
  13. http://homepages.uconn.edu/~rib02005/lecture.html
  14. http://www.math.drexel.edu/~jsa33/311.html
  15. http://www.math.ucla.edu/~ynm/books.htm
  16. http://www.nikipdf.com/freedownload/lecture-1-basic-concepts-of-set-theory-functions-and-relations.html
  17. http://ocw.mit.edu/courses/mathematics/18-440-probability-and-random-variables-spring-2011/lecture-notes/
  18. http://homepages.uconn.edu/~rib02005/lecture.html
  19. http://ocw.mit.edu/courses/mathematics/18-175-theory-of-probability-fall-2008/lecture-notes/
  20. http://www.math.psu.edu/simpson/notes/logic.pdf
  21. http://www.maths.wits.ac.za/~goranko/ML/ML08.html



  • Lie Groups and Lie Algebras 
  1. http://www.math.sunysb.edu/~kirillov/mat552/liegroups.pdf
  2. http://www.worldscibooks.com/etextbook/6462/6462_chap00.pdf
  3. http://math.berkeley.edu/~anton/written/LieGroups/LieGroups.pdf
  4. http://www.math.columbia.edu/~khovanov/lgroups/
  5. http://arxiv.org/abs/math-ph/0005032

  • Geometric Representation Theory and Graph Theory 
  1. http://www.math.columbia.edu/~khovanov/resources/
  2. http://www.math.harvard.edu/~gaitsgde/267y/catO.pdf
  3. http://math.ucr.edu/home/baez/qg-fall2007/
  4. http://users.utu.fi/harju/graphtheory/graphtheory.pdf
  5. http://homepages.warwick.ac.uk/~masgax/notes.pdf
  6. http://john.fremlin.de/schoolwork/graph/index.html
  7. http://www.cs.elte.hu/~karolyi/GT/index.html 

  • List of some ACE books which you should buy 
  1. http://www.amazon.com/Favorite-math-books-physics-self-study/lm/R2NCH1NBTUYXBR
  2. http://www.amazon.com/Best-Math-Books/lm/2J1BZG9FH9R8L
  3. http://www.physicsforums.com/showthread.php?t=611953
  4. http://www.librarything.com/series/Mathematics+for+Self-Study
  5. http://www.ocf.berkeley.edu/~abhishek/chicmath.htm
  6. http://en.wikipedia.org/wiki/Undergraduate_Texts_in_Mathematics 
  7. http://www.maths.cam.ac.uk/undergrad/admissions/readinglist.pdf
  8. http://en.wikipedia.org/wiki/Graduate_Texts_in_Mathematics (Graduate Level)
  9. http://www.amazon.com/graduate-math-books-algebraic-stand/lm/RW8A044JA4987




  • Some more important links 
  1. http://tgd.wippiespace.com/public_html/tgdclass/tgdclass.html#rgflow
  2. http://www.rzuser.uni-heidelberg.de/~hb3/notes.html
  3. http://maths.mq.edu.au/~wchen/ln.html
  4. http://ocw.mit.edu/courses/mathematics/
  5. http://www.math.cmu.edu/~ploh/olympiad.shtml
  6. http://www.math.tifr.res.in/~publ/ln/index.html
  7. http://www.scribd.com/doc/39062851/9814293547-Olympiad-Courses-1
  8. http://olympiads.win.tue.nl/imo/
  9. http://www.paultaylor.eu/tripos/
  10. http://www.math.wisc.edu/~angenent/Free-Lecture-Notes/
  11. http://math.mit.edu/classes/18.095/
  12. http://www.math.psu.edu/simpson/courses/
  13. http://www.mathematicsgre.com/viewtopic.php?f=1&t=842
  14. http://www.math.ucla.edu/~tao/tags.html
  15. http://educhoices.org/articles/Applied_Mathematics_OpenCourseWare_MITs_Free_Online_Undergraduate_Course_on_Applied_Mathematics.html
  16. http://tutorial.math.lamar.edu/Classes/CalcI/CalcI.aspx
  17. http://www.pages.drexel.edu/~gln22/Lecture%20Notes%20on%20Calculus.htm
  18. http://ocw.mit.edu/resources/res-18-001-calculus-online-textbook-spring-2005/textbook/
  19. http://ocw.mit.edu/courses/mathematics/18-022-calculus-of-several-variables-fall-2010/
  20. http://euclid.ucc.ie/pages/staff/Mckay/calculus/Rossi/
  21. http://www.cacr.caltech.edu/~sean/applied_math.pdf
  22. http://www.understandingcalculus.com/
  23. http://www.math.wisc.edu/~keisler/calc.html
  24. http://www.lightandmatter.com/calc/calc.pdf
  25. http://arxiv.org/abs/1205.0174
  26. http://www.math.miami.edu/~dsolis/notes.html
  27. http://www.maths.cam.ac.uk/studentreps/res/notes.html
  28. http://www.damtp.cam.ac.uk/user/examples/
  29. http://www.puremaths.info/video-lectures-in-mathematics/
  30. http://freescienceonline.blogspot.in/2006/06/free-mathematics-video-courses.html
  31. http://freescienceonline.blogspot.in/2008/10/more-free-mathematics-video-courses.html
  32. http://freescienceonline.blogspot.in/2009/10/mathematics-video-lectures.html
  33. http://www.extension.harvard.edu/open-learning-initiative/abstract-algebra 
  34. http://archim.org.uk/index.php
  35. http://press.princeton.edu/video/banner/
  36. http://hbpms.blogspot.in/
  37. http://bengtmn.wordpress.com/?blogsub=confirming#subscribe-blog
  38. http://www.nptel.iitm.ac.in/courses.php?disciplineId=115
  39. http://www.math.harvard.edu/~mazur/
  40. http://www.e-booksdirectory.com/listing.php?category=32
  41. http://www.maths.ox.ac.uk/courses/material/
  42. http://v5o5jotqkgfu3btr91t7w5fhzedjaoaz8igl.unbsj.ca/~tim/UWOnotes/notes.htm
  43. http://maths.dur.ac.uk/pure/preprint.html
  44. http://www.e-booksdirectory.com/mathematics.php
  45. http://www.e-booksdirectory.com/listing.php?category=3
  46. http://web.itu.edu.tr/~delidumanc/math.html
  47. http://www.learnerstv.com
  48. if you want more follow us