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A Course in Enumeration [Hardcover]

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  • Category: Books (Mathematics)
  • Author:  Aigner, Martin
  • Author:  Aigner, Martin
  • ISBN-10:  3540390324
  • ISBN-10:  3540390324
  • ISBN-13:  9783540390329
  • ISBN-13:  9783540390329
  • Publisher:  Springer
  • Publisher:  Springer
  • Binding:  Hardcover
  • Binding:  Hardcover
  • Pub Date:  01-Jan-2007
  • Pub Date:  01-Jan-2007
  • SKU:  3540390324-11-SPRI
  • SKU:  3540390324-11-SPRI
  • Item ID: 100704438
  • List Price: $89.95
  • Seller: ShopSpell
  • Ships in: 5 business days
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  • Delivery by: Jul 04 to Jul 06
  • Notes: Brand New Book. Order Now.

Combinatorial enumeration is a readily accessible subject full of easily stated, but sometimes tantalizingly difficult problems. This book leads the reader in a leisurely way from basic notions of combinatorial enumeration to a variety of topics, ranging from algebra to statistical physics. The book is organized in three parts: Basics, Methods, and Topics. The aim is to introduce readers to a fascinating field, and to offer a sophisticated source of information for professional mathematicians desiring to learn more. There are 666 exercises, and every chapter ends with a highlight section, discussing in detail a particularly beautiful or famous result.

Combinatorial enumeration is a readily accessible subject full of easily stated, but sometimes tantalizingly difficult problems. This book leads the reader in a leisurely way from basic notions of combinatorial enumeration to advanced topics, ranging from algebra to statistical physics.

Combinatorial enumeration is a readily accessible subject full of easily stated, but sometimes tantalizingly difficult problems. This book leads the reader in a leisurely way from the basic notions to a variety of topics, ranging from algebra to statistical physics. Its aim is to introduce the student to a fascinating field, and to be a source of information for the professional mathematician who wants to learn more about the subject. The book is organized in three parts: Basics, Methods, and Topics. There are 666 exercises, and as a special feature every chapter ends with a highlight, discussing a particularly beautiful or famous result.

Basics.- Fundamental Coefficients.- Formal Series and Infinite Matrices.- Methods.- Generating Functions.- Hypergeometric Summation.- Sieve Methods.- Enumeration of Patterns.- Topics.- The Catalan Connection.- Symmetric Functions.- Counting Polynomials.- Models from Statistical Physics.

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