Dear Students of Mate8005 and Mate6021:</br>

    I am in Denmark on an official visit, and will return on August 23. 
</br>

    Prof. Puhua Guan will be in-charge of the class until then.
</br>

    More details will be regularly posted at my homepage http://ramanujan.uprrp.edu/

</br>
    and on the class BLACKBOARD: http://virtual.uprrp.edu
</br>

    Both classes Mate8005 and Mate6021 are Por Accuerdo,
</br>
     and to meet and to schedule the classs,
</br>
     please send an email to me at me at  hjanwa@gmail.com,
</br>
    (with CC:  pu2guan@yahoo.com and at pguan@cnnet.upr.edu).
</br>

    Your email should  the dates and  times when you have I) classes; II) TA assignment; III) Other regular assignments;
</br>
    IV) Absolutely can not attend for personal reasons.
</br>

    ===============MATE8021=======================
</br>
    MATE8025: "Enumerative Combinatorics I":
</br>

    You can find the list of topics on the Departmental Homepage.
</br>

    The Textbok will  be Richard Stanley, "Enumerative Combinatorics."
</br>
    I have put a copy of the book on reserve in the library. I will follow it faithfully.
</br>

</br>
    I have taught from this textbook in the past at other universities such  as CALTECH, MRI.
</br>

    The paperback is around $30. Here are the links:
</br>

    http://www.bestwebbuys.com/Enumerative_Combinatorics-ISBN_9780521789875.html?isrc=b-compare-otherver

</br>
    And description at Google Books: http://books.google.com/books

</br>

    http://books.google.com/books?id=rizijWib6okC&printsec=frontcover&dq=Enumerative+Combinatorics+Stanley&sig=00ai5Q1IGXz81hPSrZywqSQU2Sg


</br>

    The standard of the course will be similar to that of Mte 8021 with HWs+Project (50% each).

</br>
    You should all be eligible to take this class.
</br>

    If you have any doubts on account  the formal requisities of Mate 8005,
</br>
    let me know.
</br>

    I will emphasize, POSETS, Lattices, generating functions, Moebious Inversion Functions (this a generalization
    of the Inclusion Exclusion Principle you learned as Under Graduates). I will emphasize more algebraic tools, as thosse
    are the ones much used now in other subjects such as Group Theory, Knot Theory, representation theory, coding theory,
    cryptography, complexity theory, computer science, and several areas of Discrete Mathematics.

    I will give at some point a rapid introduction to some  graph theoretical background
    needed.  What will be  required is Mathematical Maturity to grasp new concepts. If you have difficult registering
    in the class on account of missing the Mate 8001 (for example some of you are students with interest in Algebra
    or Number Theory), let me know.
</br>

    Please forward this information to your friends and colleagues.
</br>
    ======================================
     MATE6021:
</br>
    Textbooks:
</br>
    Algebra: A Graduate Course (Mathematics) (Hardcover)
    I. Martin Isaacs
</br>

    Topics: See the Departmental homepage. A detailed prontuario
    will be handed out in the class..
</br>

    The book is expensive but you can purchase much cheaper (and even cheape
    International editions) at www.bestbookbuys.com or www.addall.com,
    or usedbooks at www.amazon.com

</br>


    Best
    HJanwa

</br>







    MATE 8005 Combinatoria Enumerativa I. Tres Crétos. Prerequisitos: MATE 6150, MATE 6201, MATE 8001.
    Repaso de combinatoria elemental. Bosquejo de los problemas y enfoques principales de la combinatoria enumerativa. Enumerando áoles. Teorema del áol de matrices. Codificando áoles. Conteo de ciclos de Euler en un grafo. Conteo y listado de áoles no isomorfos de diferentes tipos. Médo de la funcióeneratriz en combinatoria enumerativa. Enumerando grafos de diferentes tipos. La teoríde conteo de Pó para objetos no isomorfos. Enumerando grafos no isomorfos de diferentes tipos. Principio de inclusió exclusióReticulados, sus funciones de Mös y áebras de Mös. Resultados asintóos en combinatoria enumerativa.




    -- 
    Prof. Heeralal Janwa
    Department of Mathematics
    UPR
    San Juan, PR 00931
    Phone: 787-764-0000 ext. 4689#, 2212#
    Fax: 787-281-0651