Warenkorb
€ 0,00 0 Buch dabei,
portofrei
A Path to Combinatorics for Undergraduates als Buch
PORTO-
FREI

A Path to Combinatorics for Undergraduates

Counting Strategies. Auflage 2004. Book. Sprache: Englisch.
Buch (kartoniert)
Ihr 13%-Rabatt auf alle Spielwaren, Hörbücher, Filme, Musik u.v.m
 
13% Rabatt sichern mit Gutscheincode: GIBMIR13
 
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 aspec … weiterlesen
Buch

50,49*

inkl. MwSt.
Portofrei
Sofort lieferbar
A Path to Combinatorics for Undergraduates als Buch

Produktdetails

Titel: A Path to Combinatorics for Undergraduates
Autor/en: Titu Andreescu, Zuming Feng

ISBN: 0817642889
EAN: 9780817642884
Counting Strategies.
Auflage 2004.
Book.
Sprache: Englisch.
Birkhäuser Boston

11. November 2003 - kartoniert - 252 Seiten

Beschreibung

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.

Inhaltsverzeichnis

Preface * Introduction * Acknowledgments * Abbreviations and Notations * Addition on Multiplication? * Combinations * Properties of Binomial Coefficients * Bijections * Inclusions and Exclusions * Recursions * Calculating in Two Ways --- Fubini's Principle * Generating Functions * Review Exercises * Glossary * Further Reading

Pressestimmen

From the reviews:

"A good foundation in combinatorics is provided in the early chapters that cover ideas in combinatorial geometry.... This book serves as a solid stepping stone for more advanced combinatorics studies in related mathematical science fields or in computer science."

- L'Enseignement Mathématique

"This book is an introduction to counting strategies in combinatorial theory. The main mathematical ideas are carefully worked into organized, challenging, and instructive examples given in the nine chapters of this book. In the last chapter we find 111 problems (without solutions). The greater part of them are from various mathematical contests. The...experience of the authors in preparing students for various mathematical competitions allowed them to present a big collection of beautiful problems. By studying this book, undergraduates will be well-equipped to further their knowledge in more abstract combinatorics and its related fields."

-MAA Online

"...the book provides quite an amazing collection of combinatorial problems, many of them original, and many of them from a hard to find sources like Russian olympiads. (...) The presentation of the solutions is very clear and instructive, with emphasis on common mistakes."

-Mathematics Bohemica

"The goal of the book is to explain the main concepts and ideas of combinatorics to undergraduate students. Extremely helpful is the extensive use of examples for explanation purposes, which makes this book so pleasant to read. All the ideas and problems are addressed by giving rich examples, and what is even more, each example is solved in high detail immediately after it is posed. ... So it is highly recommended to read everything in the book." (Simon Seichter, Simulation News Europe, Vol. 16 (1), 2006)
Servicehotline
089 - 70 80 99 47

Mo. - Fr. 8.00 - 20.00 Uhr
Sa. 10.00 - 20.00 Uhr
Filialhotline
089 - 30 75 75 75

Mo. - Sa. 9.00 - 20.00 Uhr
Bleiben Sie in Kontakt:
Sicher & bequem bezahlen:
akzeptierte Zahlungsarten: Überweisung, offene Rechnung,
Visa, Master Card, American Express, Paypal
Zustellung durch:
* Alle Preise verstehen sich inkl. der gesetzlichen MwSt. Informationen über den Versand und anfallende Versandkosten finden Sie hier.
** Deutschsprachige eBooks und Bücher dürfen aufgrund der in Deutschland geltenden Buchpreisbindung und/oder Vorgaben von Verlagen nicht rabattiert werden. Soweit von uns deutschsprachige eBooks und Bücher günstiger angezeigt werden, wurde bei diesen kürzlich von den Verlagen der Preis gesenkt oder die Buchpreisbindung wurde für diese Titel inzwischen aufgehoben. Angaben zu Preisnachlässen beziehen sich auf den dargestellten Vergleichspreis.