People find it difficult to express ideas and solve problems purely with words. They find it much easier to use diagrams. Distilled into this single, handy-sized volume are 60 of the most useful diagrams, which are used by the smartest managers and entrepreneurs globally, to aid their problem-solving and thinking. Triangles and pyramids, grids and axes, timelines, flows and concepts - the 60 diagrams are each visually presented, and then explained in an accessible manner, including tips and advice on how you can apply them to your own situations.

Provides an introduction to understanding diagrams and discusses how famous thinkers used them and how diagrams are used in everday life.

100 Diagrams That Changed The World is a fascinating collection of the most significant plans, sketches, drawings and illustrations that have changed the way we think about the world. From primitive cave paintings to the complicated DNA double helix drawn by Crick and Watson, they chart dramatic breakthroughs in our understanding of the world and its history. This fascinating book encompasses everything from the triple spirals found on prehistoric megalithic tombs dating right up to the drawings sent out on the side of space exploration probes. Discover Leonardo da Vinci's beautiful technical drawings, pre-empting the invention of manned flight, Copernicus's bold diagrams that dared to tell us that Earth was not at the centre of the Universe, as well as the history of the more everyday diagrams that we now take for granted. Every diagram is clearly illustrated and placed into context with very accessible text even for the lay reader. Diagrams include: Egyptian Book of the Dead, Chauvet cave drawings, Aztec Calendar, sheet music, Vitruvian Man, Galileo's telescope, Hooke's Micrographia, the Porphyrian Tree, Dunhuang Star Map, Newcomen's steam engine, the Morse Code, Brooks Slave Ship, William Playfair's bar chart, Thomas Edison's light bulb, Nazi propaganda map, sewing patterns, Feynman Diagrams, the DNA double helix, IKEA flat-pack furniture instructions, the World Wide Web schematic, Carl Sagan's Pioneer Plaque.

This book introduces a novel approach to discrete optimization, providing both theoretical insights and algorithmic developments that lead to improvements over state-of-the-art technology. The authors present chapters on the use of decision diagrams for combinatorial optimization and constraint programming, with attention to general-purpose solution methods as well as problem-specific techniques. The book will be useful for researchers and practitioners in discrete optimization and constraint programming. "Decision Diagrams for Optimization is one of the most exciting developments emerging from constraint programming in recent years. This book is a compelling summary of existing results in this space and a must-read for optimizers around the world." [Pascal Van Hentenryck]

This book provides an introductory overview of the rapid growth in interdisciplinary research into Thinking with Diagrams. Diagrammatic representations are becoming more common in everyday human experience, yet they offer unique challenges to cognitive science research. Neither linguistic nor perceptual theories are sufficient to completely explain their advantages and applications. These research challenges may be part of the reason why so many diagrams are badly designed or badly used. This is ironic when the user interfaces of computer software and the worldwide web are becoming so completely dominated by graphical and diagrammatic representations. This book includes chapters commissioned from leading researchers in the major disciplines involved in diagrams research. They review the philosophical status of diagrams, the cognitive processes involved in their application, and a range of specialist fields in which diagrams are central, including education, architectural design and visual programming languages. The result is immediately relevant to researchers in cognitive science and artificial intelligence, as well as in applied technology areas such as human-computer interaction and information design.

Arising from the need to go beyond the semiotic, cognitive, epistemic and symbolic reading of diagrams, this book looks at what diagrams are capable of in scholarly work related to the social sciences. Rather than attempting to define what diagrams are, and what their dietic capacity might be, contributions to this volume draw together the work diagrams do in the development of theories. Across a range of disciplines, the chapters introduce the ephemeral dimensions of scientist’s interactions and collaboration with diagrams, consider how diagrams configure cooperation across disciplines, and explore how diagrams have been made to work in ways that point beyond simplification, clarification and formalization.

Phase diagrams are "maps" materials scientists often use to design new materials. They define what compounds and solutions are formed and their respective compositions and amounts when several elements are mixed together under a certain temperature and pressure. This monograph is the most comprehensive reference book on experimental methods for phase diagram determination. It covers a wide range of methods that have been used to determine phase diagrams of metals, ceramics, slags, and hydrides.* Extensive discussion on methodologies of experimental measurements and data assessments * Written by experts around the world, covering both traditional and combinatorial methodologies* A must-read for experimental measurements of phase diagrams

Phase Diagrams and Thermodynamic Modeling of Solutions provides readers with an understanding of thermodynamics and phase equilibria that is required to make full and efficient use of these tools. The book systematically discusses phase diagrams of all types, the thermodynamics behind them, their calculations from thermodynamic databases, and the structural models of solutions used in the development of these databases. Featuring examples from a wide range of systems including metals, salts, ceramics, refractories, and concentrated aqueous solutions, Phase Diagrams and Thermodynamic Modeling of Solutions is a vital resource for researchers and developers in materials science, metallurgy, combustion and energy, corrosion engineering, environmental engineering, geology, glass technology, nuclear engineering, and other fields of inorganic chemical and materials science and engineering. Additionally, experts involved in developing thermodynamic databases will find a comprehensive reference text of current solution models. - Presents a rigorous and complete development of thermodynamics for readers who already have a basic understanding of chemical thermodynamics - Provides an in-depth understanding of phase equilibria - Includes information that can be used as a text for graduate courses on thermodynamics and phase diagrams, or on solution modeling - Covers several types of phase diagrams (paraequilibrium, solidus projections, first-melting projections, Scheil diagrams, enthalpy diagrams), and more

Diagrammatic reasoning is crucial for human cognition. It is hard to think of any forms of science or knowledge without the "intermediary world" of diagrams and diagrammatic representation in thought experiments and/or processes, manifested in forms as divers as notes, tables, schemata, graphs, drawings and maps. Despite their phenomenological and structural-functional differences, these forms of representation share a number of important attributes and epistemic functions. Combining aspects of linguistic and pictorial symbolism, diagrams go beyond the traditional distinction between language and image. They do not only represent, yet intervene in what is represented. Their spatiality, materiality and operativity establish a dynamic tool to exteriorize thinking, thus contributing to the idea of the extended mind. They foster imagination and problem solving, facilitate orientation in knowledge spaces and the discovery of unsuspected relationships. How can the diagrammatic nature of cognitive and knowledge practices be theorized historically as well as systematically? This is what this volume explores by investigating the semiotic dimension of diagrams as to knowledge, information and reasoning, e.g., the 'thing-ness' of diagrams in the history of art, the range of diagrammatic reasoning in logic, mathematics, philosophy and the sciences in general, including the knowledge function of maps.

Diagram groups are groups consisting of spherical diagrams (pictures) over monoid presentations. They can be also defined as fundamental groups of the Squier complexes associated with monoid presentations. The authors show that the class of diagram groups contains some well-known groups, such as the R. Thompson group F. This class is closed under free products, finite direct products, and some other group-theoretical operations. The authors develop combinatorics on diagrams similar to the combinatorics on words. This helps in finding some structure and algorithmic properties of diagram groups. Some of these properties are new even for R. Thompson's group F. In particular, the authors describe the centralizers of elements in F, prove that it has solvable conjugacy problems, etc.