A Path to Combinatorics for Undergraduates - Info and Reading Options
Counting Strategies
By Titu Andreescu and Zuming Feng
"A Path to Combinatorics for Undergraduates" is published by Birkhäuser Boston in November 11, 2003, it has 228 pages and the language of the book is English.
“A Path to Combinatorics for Undergraduates” Metadata:
- Title: ➤ A Path to Combinatorics for Undergraduates
- Authors: Titu AndreescuZuming Feng
- Language: English
- Number of Pages: 228
- Publisher: Birkhäuser Boston
- Publish Date: November 11, 2003
“A Path to Combinatorics for Undergraduates” Subjects and Themes:
- Subjects: ➤ Combinatorial analysis - Combinatorial number theory - Geometry - Mathematics - Distribution (Probability theory) - Discrete groups - Convex and Discrete Geometry - Probability Theory and Stochastic Processes
Edition Specifications:
- Format: Paperback
- Weight: 11.2 ounces
- Dimensions: 8.8 x 5.9 x 0.6 inches
Edition Identifiers:
- The Open Library ID: OL8074780M - OL18607549W
- Online Computer Library Center (OCLC) ID: 52688074
- Library of Congress Control Number (LCCN): 2003057761
- ISBN-13: 9780817642884
- ISBN-10: 0817642889
- All ISBNs: 0817642889 - 9780817642884
AI-generated Review of “A Path to Combinatorics for Undergraduates”:
"A Path to Combinatorics for Undergraduates" Description:
The Open Library:
This unique approach to combinatorics is centered around challenging examples, fully-worked solutions, and hundreds of problems---many from Olympiads and other competitions, and many original to the authors. Each chapter highlights a particular aspect of the subject and casts combinatorial concepts in the guise of questions, illustrations, and exercises that are designed to encourage creativity, improve problem-solving techniques, and widen the reader's mathematical horizons. Topics encompass permutations and combinations, binomial coefficients and their applications, recursion, bijections, inclusions and exclusions, and generating functions. The work is replete with a broad range of useful methods and results, such as Sperner's Theorem, Catalan paths, integer partitions and Young's diagrams, and Lucas' and Kummer's Theorems on divisibility. Strong emphasis is placed on connections between combinatorial and graph-theoretic reasoning and on links between algebra and geometry. The authors' previous text, 102 Combinatorial Problems, makes a fine companion volume to the present work, which is ideal for Olympiad participants and coaches, advanced high school students, undergraduates, and college instructors. The book's unusual problems and examples will stimulate seasoned mathematicians as well. A Path to Combinatorics for Undergraduates is a lively introduction not only to combinatorics, but also to mathematical ingenuity, rigor, and the joy of solving puzzles.
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