Preface to Second Edition; Preface; 5. Trees and the Composition of Generating Functions; 6. Algebraic Generating Functions; 7. Symmetric Functions; Appendices: References; Index.
Revised second volume of the standard guide to enumerative combinatorics, including the theory of symmetric functions and 159 new exercises.
Richard P. Stanley is Emeritus Professor of Mathematics at the Massachusetts Institute of Technology and an Arts and Sciences Distinguished Professor at the University of Miami. He has written over 180 research articles and six books. Among Stanley's many distinctions are membership in the National Academy of Sciences (elected in 1995) and the 2001 Leroy P. Steele Prize for Mathematical Exposition.
'This is one of the great books; readable, deep and full of gems.
It brings algebraic combinatorics to life. I teach out of it
and feel that if I can get my students to 'touch Stanley' I have
given them a gift for life.' Persi Diaconis, Stanford
University
'It is wonderful to celebrate the completion of the second edition
of Richard Stanley's Enumerative Combinatorics, one of the finest
mathematical works of all time. He has added nearly 200 exercises,
together with their answers, to what was already a uniquely
masterful summary of a vast and beautiful theory. When paired with
the second edition of Volume 1, his two classic volumes will surely
be a timeless treasure for generations to come.' Donald E. Knuth,
Stanford University
'An updated classic with a mesmerizing array of interconnected
examples. Through Stanley's masterful exposition, the current and
future generations of mathematicians will learn the inherent beauty
and pleasures of enumeration.' June Huh, Princeton University
'I have used Richard Stanley's books on Enumerative Combinatorics
numerous times for the combinatorics classes I have taught. This
new edition contains many new exercises, which will no doubt be
extremely useful for the next generation of combinatorialists.'
Anne Schilling, University of California, Davis
'Richard Stanley's Enumerative Combinatorics, in two volumes, is an
essential reference for researchers and graduate students in the
field of enumeration. Volume 2, newly revised, includes
comprehensive coverage of composition and inversion of generating
functions, exponential and algebraic generating functions, and
symmetric functions. The treatment of symmetric functions is
especially noteworthy for its thoroughness and accessibility.
Engaging problems and solutions, and detailed historical notes, add
to the value of this book. It provides an excellent introduction to
the subject for beginners while also offering advanced researchers
new insights and perspectives.' Ira Gessel, Brandeis University
|
Ask a Question About this Product More... |
|
