By Miklos Bona

Introduction to Enumerative Combinatorics, Second Edition

Chapman and Hall/CRC 2015 550 pages

Hardback:
978-1-48-224909-5
14th October 2015

Description

Divided into three parts, this book fills in the gap between introductory texts in discrete mathematics and advanced graduate textbooks in enumerative combinatorics. Part I deals with basic counting principles, compositions and partitions, and generating functions. Part II focuses on the structure of permutations, graph enumeration, and extremal combinatorics. Finally, Part III covers supplemental topics, including error-correcting codes, properties of sequences, and magic squares.

By Robert E. White

Computational Mathematics
Models, Methods, and Analysis with MATLAB and MPI, Second Edition

Chapman and Hall/CRC 2015 450 pages
Series: Textbooks in Mathematics

Hardback:
978-1-48-223515-9
25th September 2015

Description

This book is designed for courses in mathematical modeling where programming with MatLAB is taught, including Introduction to Scientific Computing with MatLAB, Numerical Methods with MatLAB. Anyone using MatLAB in a mathematics, engineering or computer science department should be interested in this text. It could be used for an advanced course in MatLAB or a Topics course at European universities. The book focuses on computational science and uses MatLAB, making it ideal for introducing computational science, MatLAB, or applied methods (numerical).

By Gerald B. Folland

A Course in Abstract Harmonic Analysis, 2nd Edition

Chapman and Hall/CRC 2015 328 pages
Series: Studies in Advanced Mathematics

Hardback:
978-1-49-872713-6
15th October 2015

Description

The second edition of this book includes research advancements from the past two decades and additional topics on abstract harmonic analysis. A brief review of Banach algebra theory, Abelian groups, the Peter-Weyl theorem, and spectral theory is followed by basic facts concerning locally compact groups, Haar measure, and unitary representations. The revision also covers modern topics such as representation theory, Frobenius reciprocity, and the Plancherel theorem. Both the first edition and this revision serve as entrees to advanced mathematics.