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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 expert 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 a readable, entertaining, and energetic book that will motivate and challenge students to open their minds 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
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
Mathematics of Program Construction
This volume contains the proceedings of MPC 2000, the ?fth international c- ference on Mathematics of Program Construction. This series of conferences aims to promote the development of mathematical principles and techniques that are demonstrably useful and usable in the process of constructing c- puter programs (whether implemented in hardware or software). The focus is on techniques that combine precision with concision, enabling programs to be constructed by formal calculation. Within this theme, the scope of the series is very diverse, including programming methodology, program speci?cation and transformation, programming paradigms, programming calculi, and progr- ming language semantics...
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.
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.
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 ...
Mathematics of Program Construction
This book constitutes the refereed proceedings of the 9th International Conference on Mathematics of Program Construction, MPC 2008, held in Marseille, France in July 2008. The 18 revised full papers presented together with 1 invited talk were carefully reviewed and selected from 41 submissions. Issues addressed range from algorithmics to support for program construction in programming languages and systems. Topics of special interest are type systems, program analysis and transformation, programming language semantics, program logics.
Mathematics of Program Construction
This volume contains the proceedings of MPC 2004, the Seventh International Conference on the Mathematics of Program Construction. This series of c- ferences aims to promote the development of mathematical principles and te- niquesthataredemonstrablyusefulinthe processofconstructingcomputerp- grams, whether implementedinhardwareorsoftware. Thefocus isontechniques that combine precision with conciseness, enabling programs to be constructed by formal calculation. Within this theme, the scope of the series is very diverse, including programmingmethodology, programspeci?cation and transformation, programming paradigms, programming calculi, and programming language - mantics. The quality of the p...
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...
Mathematics of Program Construction
This book constitutes the refereed proceedings of the 6th International Conference on Mathematics of Program Construction, MPC 2002, held in Dagstuhl Castle, Germany, in July 2002. The 11 revised full papers presented were carefully reviewed and selected for inclusion in the book; also presented are one invited paper and the abstracts of two invited talks. Among the topics covered are programming methodology, program specification, program transformation, programming paradigms, programming calculi, and programming language semantics.
