Assuming a minimum of mathematical preparation, Basic Category Theory for Computer Scientists provides a straightforward presentation of the basic constructions and terminology of category theory, including limits, functors, natural transformations, adjoints, and cartesian closed categories. Four case studies illustrate applications of category theory to programming language design, semantics, and the solution of recursive domain equations. A brief literature survey offers suggestions for further study in more advanced texts.

    Learn how to master the Metro and how to bypass the long lines at Antoni Gaudí's Sagrada Família. Immerse yourself in Catalan culture, ponder the art at the Picasso Museum, and go on a tapas bar crawl. Then head to the Eixample—Barcelona's "uptown"—to marvel at the Modernista architecture of Casa Milà and the Block of Discord.Rick's candid, humorous advice will guide you to good-value hotels and restaurants. He'll help you plan where to go and what to see, depending on the length of your trip. You'll get up-to-date recommendations on what is worth your time and money. More than just reviews and directions, a Rick Steves guidebook is a tour guide in your pocket.

    In this book, over 20 Michaela teachers explore controversial ideas that improve the lives of pupils from disadvantaged backgrounds. Michaela is blazing a trail in education, defying many of the received notions about what works best in schools.Michaela teachers, from founders to classroom teachers to senior leaders, lead readers through different aspects of what makes Michaela unique. The school gets hundreds of visitors a year. So many ask: what's the secret? But the reality is that it isn't only one thing that makes Michaela work.This book raises challenging questions for teachers and school leaders about how they see education. How can we help new Year 7 pupils get their bearings in secondary school quickly? How do we teach pupils to remember rather than forget what they've learned? How do didactic teaching, drill and memorisation boost motivation and academic achievement? How do we get pupils to be considerate, kind and caring to each other? How do we make lunchtime a calm, happy time every day? How do we ensure new teachers are just as respected as veteran teachers? How can we ensure the weakest readers do the most reading rather than the least? How can we make sure all teachers love teaching in our schools, and want to stay in teaching? How can we prevent teachers from overworking and burning out? What do we do about parents that push back against the school's rules? These questions cut to the core of how we educate and how we see the world.

    

    With an accessible and lively writing style, it introduces modern techniques to what can often be a formal and intimidating subject. Readers are led from the physics of flat spacetime (special relativity), through the intricacies of differential geometry and Einstein's equations, and on to exciting applications such as black holes, gravitational radiation, and cosmology.

    Even for people not working with the Unified Process, the book is still of great use. UML 2 and the Unified Process, Second Edition is a must-read for every UML 2 beginner and a helpful guide and reference for the experienced practitioner."--Roland Leibundgut, Technical Director, Zuehlke Engineering Ltd."This book is a good starting point for organizations and individuals who are adopting UP and need to understand how to provide visualization of the different aspects needed to satisfy it. "--Eric Naiburg, Market Manager, Desktop Products, IBM Rational SoftwareThis thoroughly revised edition provides an indispensable and practical guide to the complex process of object-oriented analysis and design using UML 2. It describes how the process of OO analysis and design fits into the software development lifecycle as defined by the Unified Process (UP). UML 2 and the Unified Process contains a wealth of practical, powerful, and useful techniques that you can apply immediately. As you progress through the text, you will learn OO analysis and design techniques, UML syntax and semantics, and the relevant aspects of the UP. The book provides you with an accurate and succinct summary of both UML and UP from the point of view of the OO analyst and designer.This book providesChapter roadmaps, detailed diagrams, and margin notes allowing you to focus on your needs Outline summaries for each chapter, making it ideal for revision, and a comprehensive index that can be used as a reference New to this edition:Completely revised and updated for UML 2 syntax Easy to understand explanations of the new UML 2 semantics More real-world examples A new section on the Object Constraint Language (OCL) Introductory material on the OMG's Model Driven Architecture (MDA) The accompanying website providesA complete example of a simple e-commerce system Open source tools for requirements engineering and use case modeling Industrial-strength UML course materials based on the book

    Here are Pythagoras, intoxicated by the mystical significance of numbers; Euclid, who gave the world the very idea of a proof; Leibniz and Newton, co-discoverers of the calculus; Cantor, master of the infinite; and Gödel, who in one magnificent proof placed everything in doubt. The elaboration of mathematical knowledge has meant nothing less than the unfolding of human consciousness itself. With his unmatched ability to make abstract ideas concrete and approachable, Berlinski both tells an engrossing tale and introduces us to the full power of what surely ranks as one of the greatest of all human endeavors.

    Because the computer gathers knowledge from experience, there is no need for a human computer operator to formally specify all the knowledge that the computer needs. The hierarchy of concepts allows the computer to learn complicated concepts by building them out of simpler ones; a graph of these hierarchies would be many layers deep. This book introduces a broad range of topics in deep learning.The text offers mathematical and conceptual background, covering relevant concepts in linear algebra, probability theory and information theory, numerical computation, and machine learning. It describes deep learning techniques used by practitioners in industry, including deep feedforward networks, regularization, optimization algorithms, convolutional networks, sequence modeling, and practical methodology; and it surveys such applications as natural language processing, speech recognition, computer vision, online recommendation systems, bioinformatics, and videogames. Finally, the book offers research perspectives, covering such theoretical topics as linear factor models, autoencoders, representation learning, structured probabilistic models, Monte Carlo methods, the partition function, approximate inference, and deep generative models.Deep Learning can be used by undergraduate or graduate students planning careers in either industry or research, and by software engineers who want to begin using deep learning in their products or platforms. A website offers supplementary material for both readers and instructors.

    "More concretely," the authors explain, "it is the controlled manipulation of mathematical formulas, using a collection of techniques for solving problems."

    Book by Waring, Chris

    Johnson. It was the first book exclusively on the theory of NP-completeness and computational intractability. The book features an appendix providing a thorough compendium of NP-complete problems (which was updated in later printings of the book). The book is now outdated in some respects as it does not cover more recent development such as the PCP theorem. It is nevertheless still in print and is regarded as a classic: in a 2006 study, the CiteSeer search engine listed the book as the most cited reference in computer science literature.

    This newest edition expands on the strengths of earlier versions, helping students bridge the gap between concepts and reasoning. Students are shown, rather than told about, how physics works and are given the opportunity to apply concepts to real-world problems. Each chapter and concept has been scrutinized to ensure clarity, currency, and accuracy while checkpoints, problem solving tactics, and sample problems help students make sense of new concepts. As always, Fundamentals of Physics covers every aspect of basic physics, from force and motion to relativity and will prepare today's students to be tomorrow's scientists.

    The cases in the 15th edition are excerpted and edited by the authors. The syntax is not altered, therefore retains the language of the courts. As in recent previous editions, the 15th edition includes a mix of actual AND hypothetical cases. This text is our most research-based Business Law text.

    Includes many examples and figures. GENERAL TOPOLOGY. Set Theory and Logic. Topological Spaces and Continuous Functions. Connectedness and Compactness. Countability and Separation Axioms. The Tychonoff Theorem. Metrization Theorems and paracompactness. Complete Metric Spaces and Function Spaces. Baire Spaces and Dimension Theory. ALGEBRAIC TOPOLOGY. The Fundamental Group. Separation Theorems. The Seifert-van Kampen Theorem. Classification of Surfaces. Classification of Covering Spaces. Applications to Group Theory. For anyone needing a basic, thorough, introduction to general and algebraic topology and its applications.

    This is a very old science and its gems have lost their charm for us through everyday use. We have tried in this book to refresh them for you. The main part of the book is made up of problems. The best way to deal with them is: Solve the problem by yourself - compare your solution with the solution in the book (if it exists) - go to the next problem. However, if you have difficulties solving a problem (and some of them are quite difficult), you may read the hint or start to read the solution. If there is no solution in the book for some problem, you may skip it (it is not heavily used in the sequel) and return to it later. The book is divided into sections devoted to different topics. Some of them are very short, others are rather long. Of course, you know arithmetic pretty well. However, we shall go through it once more, starting with easy things. 2 Exchange of terms in addition Let's add 3 and 5: 3+5=8. And now change the order: 5+3=8. We get the same result. Adding three apples to five apples is the same as adding five apples to three - apples do not disappear and we get eight of them in both cases. 3 Exchange of terms in multiplication Multiplication has a similar property. But let us first agree on notation.