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Algorithmic Problem Solving
An entertaining and captivating way to learn the fundamentals of using algorithms to solve problems The algorithmic approach to solving problems in computer technology is an essential tool. With this unique book, algorithm guru Roland Backhouse shares his four decades of experience to teach the fundamental principles of using algorithms to solve problems. Using fun and well-known puzzles to gradually introduce different aspects of algorithms in mathematics and computing. Backhouse presents you with a readable, entertaining, and energetic book that will motivate and challenge you to open your mind to the algorithmic nature of problem solving. Provides a novel approach to the mathematics of problem solving focusing on the algorithmic nature of problem solving Uses popular and entertaining puzzles to teach you different aspects of using algorithms to solve mathematical and computing challenges Features a theory section that supports each of the puzzles presented throughout the book Assumes only an elementary understanding of mathematics Let Roland Backhouse and his four decades of experience show you how you can solve challenging problems with algorithms!
Program Construction
Unique approach tackles what most books don't-why maths and logic are fundamental tools for a programmer This comprehensive guide is a balanced combination of mathematical theory and the practice of programming Straightforward presentation of construction principles inlcuding: assignment axiom, sequential composition, case analysis, use of invariants and bound functions Includes a wide range of entertaining and challenging examples and exercises
Algebraic and Coalgebraic Methods in the Mathematics of Program Construction
Program construction is about turning specifications of computer software into implementations. Recent research aimed at improving the process of program construction exploits insights from abstract algebraic tools such as lattice theory, fixpoint calculus, universal algebra, category theory, and allegory theory. This textbook-like tutorial presents, besides an introduction, eight coherently written chapters by leading authorities on ordered sets and complete lattices, algebras and coalgebras, Galois connections and fixed point calculus, calculating functional programs, algebra of program termination, exercises in coalgebraic specification, algebraic methods for optimization problems, and temporal algebra.
Advanced Functional Programming
This book originates from the Third Summer School on Advanced Functional Programming, held in Barga, Portugal, in September 1998. The lectures presented are targeted at individual students and programming professionals as well as at small study groups and lecturers who wish to become acquainted with recent work in the rapidly developing area of functional programming. The book presents the following seven, carefully cross-reviewed chapters, written by leading authorities in the field: Sorting Morphisms; Generic Programming: An Introduction; Generic Program Transformation; Designing and Implementing Combinator Languages; Using MetaML: A Staged Programming Language; Cayenne: A Language with Dependent Types; Haskell as an Automation Controller.
Generic Programming
Generic programming attempts to make programming more efficient by making it more general. This book is devoted to a novel form of genericity in programs, based on parameterizing programs by the structure of the data they manipulate. The book presents the following four revised and extended chapters first given as lectures at the Generic Programming Summer School held at the University of Oxford, UK in August 2002: - Generic Haskell: Practice and Theory - Generic Haskell: Applications - Generic Properties of Datatypes - Basic Category Theory for Models of Syntax
Capitalist Revolutionary
The Great Recession of 2008 restored John Maynard Keynes to prominence. After decades when the Keynesian revolution seemed to have been forgotten, the great British theorist was suddenly everywhere. The New York Times asked, “What would Keynes have done?” The Financial Times wrote of “the undeniable shift to Keynes.” Le Monde pronounced the economic collapse Keynes’s “revenge.” Two years later, following bank bailouts and Tea Party fundamentalism, Keynesian principles once again seemed misguided or irrelevant to a public focused on ballooning budget deficits. In this readable account, Backhouse and Bateman elaborate the misinformation and caricature that have led to Keynes’s ...
A Guide to Algorithm Design
Presenting a complementary perspective to standard books on algorithms, A Guide to Algorithm Design: Paradigms, Methods, and Complexity Analysis provides a roadmap for readers to determine the difficulty of an algorithmic problem by finding an optimal solution or proving complexity results. It gives a practical treatment of algorithmic complexity and guides readers in solving algorithmic problems. Divided into three parts, the book offers a comprehensive set of problems with solutions as well as in-depth case studies that demonstrate how to assess the complexity of a new problem. Part I helps readers understand the main design principles and design efficient algorithms. Part II covers polyno...
Relational Methods in Computer Science
The calculus of relations has been an important component of the development of logic and algebra since the middle of the nineteenth century, when Augustus De Morgan observed that since a horse is an animal we should be able to infer that the head of a horse is the head of an animal. For this, Aristotelian syllogistic does not suffice: We require relational reasoning. George Boole, in his Mathematical Analysis of Logic of 1847, initiated the treatment of logic as part of mathematics, specifically as part of algebra. Quite the opposite conviction was put forward early this century by Bertrand Russell and Alfred North Whitehead in their Principia Mathematica (1910 - 1913): that mathematics was...
Purely Functional Data Structures
This book describes data structures and data structure design techniques for functional languages.
