Recursion Via Pascal
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Recursion Via Pascal
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Author : Jeffrey Soden Rohl
language : en
Publisher: Cambridge University Press
Release Date : 1984-07-26
Recursion Via Pascal written by Jeffrey Soden Rohl and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-07-26 with Computers categories.
This book is devoted to recursion in programming, the technique by which the solution to a problem is expressed partly in terms of the solution to a simpler version of the same problem. Ultimately the solution to the simplest version must be given explicitly. In functional programming, recursion has received its full due since it is quite often the only repetitive construct. However, the programming language used here is Pascal and the examples have been chosen accordingly. It makes an interesting contrast with the use of recursion in functional and logic programming. The early chapters consider simple linear recursion using examples such as finding the highest common factor of a pair of numbers, and processing linked lists. Subsequent chapters move up through binary recursion, with examples which include the Towers of Hanoi problem and symbolic differentiation, to general recursion. The book contains well over 100 examples.
Introduction To Recursive Programming
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Author : Manuel Rubio-Sanchez
language : en
Publisher: CRC Press
Release Date : 2017-10-05
Introduction To Recursive Programming written by Manuel Rubio-Sanchez and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-05 with Computers categories.
Recursion is one of the most fundamental concepts in computer science and a key programming technique that allows computations to be carried out repeatedly. Despite the importance of recursion for algorithm design, most programming books do not cover the topic in detail, despite the fact that numerous computer programming professors and researchers in the field of computer science education agree that recursion is difficult for novice students. Introduction to Recursive Programming provides a detailed and comprehensive introduction to recursion. This text will serve as a useful guide for anyone who wants to learn how to think and program recursively, by analyzing a wide variety of computational problems of diverse difficulty. It contains specific chapters on the most common types of recursion (linear, tail, and multiple), as well as on algorithm design paradigms in which recursion is prevalent (divide and conquer, and backtracking). Therefore, it can be used in introductory programming courses, and in more advanced classes on algorithm design. The book also covers lower-level topics related to iteration and program execution, and includes a rich chapter on the theoretical analysis of the computational cost of recursive programs, offering readers the possibility to learn some basic mathematics along the way. It also incorporates several elements aimed at helping students master the material. First, it contains a larger collection of simple problems in order to provide a solid foundation of the core concepts, before diving into more complex material. In addition, one of the book's main assets is the use of a step-by-step methodology, together with specially designed diagrams, for guiding and illustrating the process of developing recursive algorithms. Furthermore, the book covers combinatorial problems and mutual recursion. These topics can broaden students' understanding of recursion by forcing them to apply the learned concepts differently, or in a more sophisticated manner. The code examples have been written in Python 3, but should be straightforward to understand for students with experience in other programming languages. Finally, worked out solutions to over 120 end-of-chapter exercises are available for instructors.
Programming Via Pascal
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Author : J. S. Rohl
language : en
Publisher: CUP Archive
Release Date : 1990-04-26
Programming Via Pascal written by J. S. Rohl and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-04-26 with Computers categories.
Algorithms And Programming
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Author : Alexander Shen
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-03-23
Algorithms And Programming written by Alexander Shen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-23 with Mathematics categories.
This text is structured in a problem-solution format that requires the student to think through the programming process. New to the second edition are additional chapters on suffix trees, games and strategies, and Huffman coding as well as an Appendix illustrating the ease of conversion from Pascal to C.
Combinatorics
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Author : Nicholas Loehr
language : en
Publisher: CRC Press
Release Date : 2017-08-10
Combinatorics written by Nicholas Loehr and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-10 with Mathematics categories.
Combinatorics, Second Edition is a well-rounded, general introduction to the subjects of enumerative, bijective, and algebraic combinatorics. The textbook emphasizes bijective proofs, which provide elegant solutions to counting problems by setting up one-to-one correspondences between two sets of combinatorial objects. The author has written the textbook to be accessible to readers without any prior background in abstract algebra or combinatorics. Part I of the second edition develops an array of mathematical tools to solve counting problems: basic counting rules, recursions, inclusion-exclusion techniques, generating functions, bijective proofs, and linear algebraic methods. These tools are used to analyze combinatorial structures such as words, permutations, subsets, functions, graphs, trees, lattice paths, and much more. Part II cover topics in algebraic combinatorics including group actions, permutation statistics, symmetric functions, and tableau combinatorics. This edition provides greater coverage of the use of ordinary and exponential generating functions as a problem-solving tool. Along with two new chapters, several new sections, and improved exposition throughout, the textbook is brimming with many examples and exercises of various levels of difficulty.
Revue Roumaine De Math Matiques Pures Et Appliques
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Author :
language : en
Publisher:
Release Date : 2003
Revue Roumaine De Math Matiques Pures Et Appliques written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
Programming Structures Machines And Programs
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Author : Jan Hext
language : en
Publisher:
Release Date : 1990
Programming Structures Machines And Programs written by Jan Hext and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Computers categories.
A study of programming structures reviews sets, bit patterns, number systems, scaler types and machine architecture and discusses both straight and parallel programs.
Proofs In Competition Math Volume 1
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Author : Alexander Toller
language : en
Publisher: Lulu.com
Release Date : 2019-07-04
Proofs In Competition Math Volume 1 written by Alexander Toller and has been published by Lulu.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-04 with Education categories.
All too often, through common school mathematics, students find themselves excelling in school math classes by memorizing formulas, but not their applications or the motivation behind them. As a consequence, understanding derived in this manner is tragically based on little or no proof.This is why studying proofs is paramount! Proofs help us understand the nature of mathematics and show us the key to appreciating its elegance.But even getting past the concern of "why should this be true?" students often face the question of "when will I ever need this in life?" Proofs in Competition Math aims to remedy these issues at a wide range of levels, from the fundamentals of competition math all the way to the Olympiad level and beyond.Don't worry if you don't know all of the math in this book; there will be prerequisites for each skill level, giving you a better idea of your current strengths and weaknesses and allowing you to set realistic goals as a math student. So, mathematical minds, we set you off!
Combinatorial Methods And Models
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Author : Rudolf Ahlswede
language : en
Publisher: Springer
Release Date : 2017-06-30
Combinatorial Methods And Models written by Rudolf Ahlswede and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-30 with Mathematics categories.
The fourth volume of Rudolf Ahlswede’s lectures on Information Theory is focused on Combinatorics. Ahlswede was originally motivated to study combinatorial aspects of Information Theory via zero-error codes: in this case the structure of the coding problems usually drastically changes from probabilistic to combinatorial. The best example is Shannon’s zero error capacity, where independent sets in graphs have to be examined. The extension to multiple access channels leads to the Zarankiewicz problem. A code can be regarded combinatorially as a hypergraph; and many coding theorems can be obtained by appropriate colourings or coverings of the underlying hypergraphs. Several such colouring and covering techniques and their applications are introduced in this book. Furthermore, codes produced by permutations and one of Ahlswede’s favourite research fields -- extremal problems in Combinatorics -- are presented. Whereas the first part of the book concentrates on combinatorial methods in order to analyse classical codes as prefix codes or codes in the Hamming metric, the second is devoted to combinatorial models in Information Theory. Here the code concept already relies on a rather combinatorial structure, as in several concrete models of multiple access channels or more refined distortions. An analytical tool coming into play, especially during the analysis of perfect codes, is the use of orthogonal polynomials. Classical information processing concerns the main tasks of gaining knowledge and the storage, transmission and hiding of data. The first task is the prime goal of Statistics. For transmission and hiding data, Shannon developed an impressive mathematical theory called Information Theory, which he based on probabilistic models. The theory largely involves the concept of codes with small error probabilities in spite of noise in the transmission, which is modeled by channels. The lectures presented in this work are suitable for graduate students in Mathematics, and also for those working in Theoretical Computer Science, Physics, and Electrical Engineering with a background in basic Mathematics. The lectures can be used as the basis for courses or to supplement courses in many ways. Ph.D. students will also find research problems, often with conjectures, that offer potential subjects for a thesis. More advanced researchers may find questions which form the basis of entire research programs.
A Practical Introduction To Denotational Semantics
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Author : Lloyd Allison
language : en
Publisher: Cambridge University Press
Release Date : 1986
A Practical Introduction To Denotational Semantics written by Lloyd Allison and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Computers categories.
Basics - Notation - Lattices - A simple language - Direct semantics - Control - Data structures and data types - A prolog semantics - Miscellaneous.