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Assigned Numbers

Ralph Grimaldi Fibonacci and Catalan Numbers. An Introduction

Ralph Grimaldi Fibonacci and Catalan Numbers. An Introduction

Discover the properties and real-world applications of the Fibonacci and the Catalan numbers With clear explanations and easy-to-follow examples, Fibonacci and Catalan Numbers: An Introduction offers a fascinating overview of these topics that is accessible to a broad range of readers. Beginning with a historical development of each topic, the book guides readers through the essential properties of the Fibonacci numbers, offering many introductory-level examples. The author explains the relationship of the Fibonacci numbers to compositions and palindromes, tilings, graph theory, and the Lucas numbers. The book proceeds to explore the Catalan numbers, with the author drawing from their history to provide a solid foundation of the underlying properties. The relationship of the Catalan numbers to various concepts is then presented in examples dealing with partial orders, total orders, topological sorting, graph theory, rooted-ordered binary trees, pattern avoidance, and the Narayana numbers. The book features various aids and insights that allow readers to develop a complete understanding of the presented topics, including: Real-world examples that demonstrate the application of the Fibonacci and the Catalan numbers to such fields as sports, botany, chemistry, physics, and computer science More than 300 exercises that enable readers to explore many of the presented examples in greater depth Illustrations that clarify and simplify the concepts Fibonacci and Catalan Numbers is an excellent book for courses on discrete mathematics, combinatorics, and number theory, especially at the undergraduate level. Undergraduates will find the book to be an excellent source for independent study, as well as a source of topics for research. Further, a great deal of the material can also be used for enrichment in high school courses.

Tom Campbell Painting with Numbers. Presenting Financials and Other Numbers So People Will Understand You

Tom Campbell Painting with Numbers. Presenting Financials and Other Numbers So People Will Understand You

Learn how to communicate better with numbers Whether you are distributing a report or giving a presentation, you have a lot of numbers to present and only a few minutes to get your point across. Your audience is busy and has a short attention span. Don't let an amateur presentation bog you down, confuse your audience, and damage your credibility. Instead, learn how to present numerical information effectively—in the same way you learned how to speak or write. With Painting with Numbers, you'll discover how to present numbers clearly and effectively so your ideas and your presentation shine. Use the Arabic numeral system to your advantage master the use of layout and visual effects to communicate powerfully Understand how audiences process your information and how that affects your «personal brand image» Learn how to be perceived as a professional who truly understands the business concepts and issues underlying your numbers Use software tools, including Excel, PowerPoint, and graphs, efficiently and to drive home your point Author Randall Bolten shares his decades of experience as a senior finance executive distilling complicated information into clear presentations, to help you make your numerical information more comprehensible, meaningful, and accessible. Painting with Numbers is brimming with hands-on advice, techniques, tools, rules, and guidelines for producing clear, attractive, and effective quantation (the word the author has coined for the skill of presenting numbers).


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