Mathematical Problems and Proofs

Combinatorics, Number Theory, and Geometry
1998
ISBN: 978-0-306-45967-2
Verlag: Springer US

Buch, Englisch, 220 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1160 g

A gentle introduction to the highly sophisticated world of discrete mathematics, presents topics ranging from elementary definitions and theorems to advanced topics -- such as cardinal numbers, generating functions, properties of Fibonacci numbers, and Euclidean algorithm. This excellent primer illustrates more than 150 solutions and proofs, thoroughly explained in clear language. The generous historical references and anecdotes interspersed throughout the text create interesting intermissions that will fuel readers' eagerness to inquire further about the topics and some of our greatest mathematicians. The author guides readers through the process of solving enigmatic proofs and problems, and assists them in making the transition from problem solving to theorem proving.
At once a requisite text and an enjoyable read, is an excellent entrée to discrete mathematics for advanced students interested in mathematics, engineering, and science.

Zielgruppe

Research

Autoren/Hrsg.

Kisa¿anin, Branislav

Kisacanin, Branislav

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Zahlentheorie
• Mathematik | Informatik Mathematik Algebra Elementare Algebra
• Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Ausbildung, Jobs, Karriere: Naturwissenschaften, Technik, Medizin
• Mathematik | Informatik Mathematik Mathematik Allgemein
• Mathematik | Informatik Mathematik Operations Research Graphentheorie

Inhaltsverzeichnis

Set Theory.- Combinatorics.- Number Theory.- Geometry.