Mathematics of Discrete Structures for Computer Science

Drawing from a wide variety of mathematical subjects, this book aims to show how mathematics is realised in practice in the everyday world. Dozens of applications are used to show that applied mathematics is much more than a series of academic calculations. Mathematical topics covered include distributions, ordinary and partial differential equations, and asymptotic methods as well as basics of modelling. The range of applications is similarly varied, from the modelling of hair to piano tuning, egg incubation and traffic flow. The style is informal but not superficial. In addition, the text is supplemented by a large number of exercises and sideline discussions, assisting the reader's grasp of the material. Used either in the classroom by upper-undergraduate students, or as extra reading for any applied mathematician, this book illustrates how the reader's knowledge can be used to describe the world around them.

Teaching About Evolution and the Nature of Science provides a well-structured framework for understanding and teaching evolution. Written for teachers, parents, and community officials as well as for

A comprehensive introduction to the concepts of joining technologies for hybrid structures This book introduces the concepts of joining technology for polymer-metal hybrid structures by addressing cur

Topics covered in the book include: Methods and tools for loads and load effects, Methods and tools for strength assessment, Experimental analysis of structures, Materials and fabrication of structure

This book was first published in 2003. Combinatorica, an extension to the popular computer algebra system Mathematica®, is the most comprehensive software available for teaching and research applications of discrete mathematics, particularly combinatorics and graph theory. This book is the definitive reference/user's guide to Combinatorica, with examples of all 450 Combinatorica functions in action, along with the associated mathematical and algorithmic theory. The authors cover classical and advanced topics on the most important combinatorial objects: permutations, subsets, partitions, and Young tableaux, as well as all important areas of graph theory: graph construction operations, invariants, embeddings, and algorithmic graph theory. In addition to being a research tool, Combinatorica makes discrete mathematics accessible in new and exciting ways to a wide variety of people, by encouraging computational experimentation and visualization. The book contains no formal proofs, but enoug

Intended for mathematics educators, this volume presents a discussion of the use of video games for teaching middle school math and the challenges facing educational game developers in an era of ever

This new, practical book provides an explanation of each of the eight mathematical practices and gives high school educators specific instructional strategies that align with the Common Core State Sta

Save planning and preparation time with this flexible, ready-to-run bank of lessons that will develop the curriculum within your school.This bank of easy-to-use lesson plans is written by experienced

This book opens up alternative ways of thinking and talking about ways in which a person can "know" a subject (in this case, mathematics), leading to a reconsideration of what it may mean to be a teac

This volume addresses the specific subject of fatigue, a subject not familiar to many engineers, but still relevant for proper and good design of numerous steel structures. It explains all issues rela

Recognized for their superior strength, corrosion/oxidation resistance, and biocompatibility, titanium alloys are particularly intriguing to engineers, scientists, and metallurgists in aerospace, biom

Designed for senior-level and graduate courses in Dynamics of Structures and Earthquake Engineering. Dynamics of Structures includes many topics encompassing the theory of structural dynamics and

Theoretical and experimental advances in the techniques available for solving crystal structures have led to the development of several powerful techniques for solving complex structures, including those of proteins. In this 1995 book, Michael Woolfson and Fan Hai-Fu describe all the available methods and how they are used. In addition to traditional methods such as the use of the Patterson function and isomorphous replacement, and the direct methods, the authors include methods that use anomalous scattering and observations from multiple-beam scattering. The fundamental physics and mathematical analyses are fully explained. Practical aspects of applying the methods are emphasised.

Theoretical and experimental advances in the techniques available for solving crystal structures have led to the development of several powerful techniques for solving complex structures, including those of proteins. In this 1995 book, Michael Woolfson and Fan Hai-Fu describe all the available methods and how they are used. In addition to traditional methods such as the use of the Patterson function and isomorphous replacement, and the direct methods, the authors include methods that use anomalous scattering and observations from multiple-beam scattering. The fundamental physics and mathematical analyses are fully explained. Practical aspects of applying the methods are emphasised.

Safety and Reliability of Industrial Products, Systems and Structures deals with risk assessment, which is a fundamental support for decisions related to the design, construction, operation and mainte

Structures that are essential for economy and security such as energy production, transportation and supply, water supply, buildings, are susceptible to failure, because of defects already present in

Structures that are essential for economy and security such as energy production, transportation and supply, water supply, buildings, are susceptible to failure, because of defects already present in

This book presents the state-of-the-art in multiscale modeling and simulation techniques for composite materials and structures. It focuses on the structural and functional properties of engineering c

The international system is undergoing a fundamental change from unipolarity to multipolarity and is facing a growing importance of Asia in world politics. In order to build Global Governance for the

Designed to provide engineers with quick access to current and practical information on the dynamics of structure and foundation, this 2-volume reference work is intended for engineers involved with e

The increased computational power and software tools available to engineers have increased the use and dependence on modeling and computer simulation throughout the design process. These tools have g

This unique reference is the first to cover the theory of adjoint sensitivity analysis and explains how it can be applied to different types of electromagnetic structures. It is an invaluable book for

Introduces young readers to basic construction concepts and architectural elements through the eyes of five friends who set out to build a doghouse for their pet pooch, Max. Includes an activity at th

Utterly compelling! Barbara Ann Kipfer has elevated the list to high art and bestselling pleasure. A foremost expert of classification, in The Order of Things, she does for life what her previous boo

The Handbook of Categorical Algebra is designed to give, in three volumes, a detailed account of what should be known by everybody working in, or using, category theory. As such it will be a unique reference. The volumes are written in sequence. The second, which assumes familiarity with the material in the first, introduces important classes of categories that have played a fundamental role in the subject's development and applications. In addition, after several chapters discussing specific categories, the book develops all the major concepts concerning Benabou's ideas of fibred categories. There is ample material here for a graduate course in category theory, and the book should also serve as a reference for users.

In this book Lee Rudolph brings together international contributors who combine psychological and mathematical perspectives to analyse how qualitative mathematics can be used to create models of socia

Perfect for homework help, study sessions, or when your textbook just doesn't make any sense, this bundle of Big Fat Notebooks is the one-stop-shop for middle school STEM study guides. Together, these three bestselling books cover all the important STEM concepts middle schoolers need to know--from the Pythagorean Theorem to exponents, atoms to outer space, and binary code to Boolean expressions. Big Fat Notebooks are packed with all the information you need for an entire year of middle school Math, Science, or Computer Science and Coding classes. Plus, they're written in language that's actually easy-to-understand, and full of colorful diagrams and hilarious doodles that help important information stick. Soon, you'll be the smartest kid in class!

Most syntacticians, no matter their theoretical persuasion, agree that features (types or categories) are the most important units of analysis. Within Chomskyan generative grammar, the importance of features has grown steadily and within minimalism, it can be said that everything depends on features. They are obstacles in any interdisciplinary investigation concerning the nature of language and it is hard to imagine a syntactic description that does not explore them. For the first time, this book turns grammar upside down and proposes a new model of syntax that is better suited for interdisciplinary interactions, and shows how syntax can proceed free of lexical influence. The empirical domain examined is vast, and all the fundamental units and properties of syntax (categories, parameters, Last Resort, labelling, and hierarchies) are rethought. Opening up new avenues of investigation, this book will be invaluable to researchers and students in syntactic theory, and linguistics more broa