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Numbering with colors is tutorial in nature, with many practical examples given throughout the presentation. It is heavily illustrated with gray-scale images, but also included is an 8-page signature of 4-color illustrations to support the presentation. While the organization is somewhat similar to that found in "The Data Handbook," there is little overlap with the content material in that publication. The first section in the book discusses Color Physics, Physiology and Psychology, talking about the details of the eye, the visual pathway, and how the brain converts colors into perceptions of hues. This is followed by the second section, in which Color Technologies are explained, i.e. how we describe colors using the CIE diagram, and how colors can be reproduced using various technologies such as offset printing and video screens. The third section of the book, Using Colors, relates how scientists and engineers can use color to help gain insight into their data sets through true color, false color, and pseudocolor imaging.
Victor Klee and Stan Wagon discuss some of the unsolved problems in number theory and geometry, many of which can be understood by readers with a very modest mathematical background. The presentation is organized around 24 central problems, many of which are accompanied by other, related problems. The authors place each problem in its historical and mathematical context, and the discussion is at the level of undergraduate mathematics. Each problem section is presented in two parts. The first gives an elementary overview discussing the history and both the solved and unsolved variants of the problem. The second part contains more details, including a few proofs of related results, a wider and deeper survey of what is known about the problem and its relatives, and a large collection of references. Both parts contain exercises, with solutions. The book is aimed at both teachers and students of mathematics who want to know more about famous unsolved problems.
This book highlights cutting-edge research in the field of network science, offering scientists, researchers, students, and practitioners a unique update on the latest advances in theory and a multitude of applications. It presents the peer-reviewed proceedings of the X International Conference on Complex Networks and their Applications (COMPLEX NETWORKS 2021). The carefully selected papers cover a wide range of theoretical topics such as network models and measures; community structure, network dynamics; diffusion, epidemics and spreading processes; resilience and control as well as all the main network applications, including social and political networks; networks in finance and economics; biological and neuroscience networks, and technological networks.
What Is Combinatorics Anyway? Broadly speaking, combinatorics is the branch of mathematics dealing with different ways of selecting objects from a set or arranging objects. It tries to answer two major kinds of questions, namely, counting questions: how many ways can a selection or arrangement be chosen with a particular set of properties; and structural questions: does there exist a selection or arrangement of objects with a particular set of properties? The authors have presented a text for students at all levels of preparation. For some, this will be the first course where the students see several real proofs. Others will have a good background in linear algebra, will have completed the calculus stream, and will have started abstract algebra. The text starts by briefly discussing several examples of typical combinatorial problems to give the reader a better idea of what the subject covers. The next chapters explore enumerative ideas and also probability. It then moves on to enumerative functions and the relations between them, and generating functions and recurrences., Important families of functions, or numbers and then theorems are presented. Brief introductions to computer algebra and group theory come next. Structures of particular interest in combinatorics: posets, graphs, codes, Latin squares, and experimental designs follow. The authors conclude with further discussion of the interaction between linear algebra and combinatorics. Features Two new chapters on probability and posets. Numerous new illustrations, exercises, and problems. More examples on current technology use A thorough focus on accuracy Three appendices: sets, induction and proof techniques, vectors and matrices, and biographies with historical notes, Flexible use of MapleTM and MathematicaTM
R Visualizations: Derive Meaning from Data focuses on one of the two major topics of data analytics: data visualization, a.k.a., computer graphics. In the book, major R systems for visualization are discussed, organized by topic and not by system. Anyone doing data analysis will be shown how to use R to generate any of the basic visualizations with the R visualization systems. Further, this book introduces the author’s lessR system, which always can accomplish a visualization with less coding than the use of other systems, sometimes dramatically so, and also provides accompanying statistical analyses. Key Features Presents thorough coverage of the leading R visualization system, ggplot2. Gives specific guidance on using base R graphics to attain visualizations of the same quality as those provided by ggplot2. Shows how to create a wide range of data visualizations: distributions of categorical and continuous variables, many types of scatterplots including with a third variable, time series, and maps. Inclusion of the various approaches to R graphics organized by topic instead of by system. Presents the recent work on interactive visualization in R. David W. Gerbing received his PhD from Michigan State University in 1979 in quantitative analysis, and currently is a professor of quantitative analysis in the School of Business at Portland State University. He has published extensively in the social and behavioral sciences with a focus on quantitative methods. His lessR package has been in development since 2009.
This is Fred’s first children’s book (for ages 9 to 100). It came about because an artist friend, who used to work with young children, told Fred she loved one of his digital art pictures of a colorful tree. She felt this picture and some others he had done could be used to create a wonderful storybook for children. Fred came up with the book title and started writing the story with hardly anything in mind at first... it just began with the ‘tree’ and one other picture, which he used for one of the main characters. The story quickly flowed out from him and was completed in little more than a week. Fred just kept thinking to himself, “This is crazy.” Being a musician his whole life and having just retired, he wondered why he was writing a book for children. But this is not just for children. There’s a universal message here for everyone. It’s about ‘giving and receiving love’ - the purpose of life! Nine year-old Hugh has an amazing adventure meeting an ancient friend from the past who teaches him some lessons about love, tells an incredible tale about their ancestors, and shares memories of when they were together in a time long forgotten. It all begins with the ‘tree’... This book contains both fiction and simple truths. It has something the world can use right now. It can open your heart and bring out the ‘child’ in you, regardless of your age! Regarding his art for this book, Fred says: “Whatever you can imagine already exists somewhere!” Here’s some comments about Fred’s book: “Out of this world pictures.” “It breaks boundaries...” “Beyond your bridled imagination.” “It lets you see things from another part of the world, dimension, or existence.” “Helps show you how important love is, in so many ways.”
The Handbook of Graph Theory is the most comprehensive single-source guide to graph theory ever published. Best-selling authors Jonathan Gross and Jay Yellen assembled an outstanding team of experts to contribute overviews of more than 50 of the most significant topics in graph theory-including those related to algorithmic and optimization approach
"Graph Theory: NP Problems" offers a comprehensive exploration of complex computational challenges through the lens of graph theory. From fundamental concepts to advanced applications, this book delves into NP problems—examining their theoretical foundations, practical implications, and algorithmic solutions. Whether you're a student, researcher, or practitioner, discover how graphs serve as powerful models to unravel intricate problems in computer science and beyond, providing essential insights into the nature of computational complexity and efficient problem-solving strategies.
"The book itself is a diagram of clarification, containing hundreds of examples of work by those who favor the communication of information over style and academic postulation—and those who don't. Many blurbs such as this are written without a thorough reading of the book. Not so in this case. I read it and love it. I suggest you do the same." —Richard Saul Wurman "This handsome, clearly organized book is itself a prime example of the effective presentation of complex visual information." —eg magazine "It is a dream book, we were waiting for...on the field of information. On top of the incredible amount of presented knowledge this is also a beautifully designed piece, very easy to follow..." —Krzysztof Lenk, author of Mapping Websites: Digital Media Design "Making complicated information understandable is becoming the crucial task facing designers in the 21st century. With Designing Information, Joel Katz has created what will surely be an indispensable textbook on the subject." —Michael Bierut "Having had the pleasure of a sneak preview, I can only say that this is a magnificent achievement: a combination of intelligent text, fascinating insights and - oh yes - graphics. Congratulations to Joel." —Judith Harris, author of Pompeii Awakened: A Story of Rediscovery Designing Information shows designers in all fields - from user-interface design to architecture and engineering - how to design complex data and information for meaning, relevance, and clarity. Written by a worldwide authority on the visualization of complex information, this full-color, heavily illustrated guide provides real-life problems and examples as well as hypothetical and historical examples, demonstrating the conceptual and pragmatic aspects of human factors-driven information design. Both successful and failed design examples are included to help readers understand the principles under discussion.