Algorithms And Recursive Functions
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Algorithms And Recursive Functions
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Author : Anatoliĭ Ivanovich Malʹt︠s︡ev
language : en
Publisher:
Release Date : 1970
Algorithms And Recursive Functions written by Anatoliĭ Ivanovich Malʹt︠s︡ev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Algorithms categories.
Algorithms And Recursive Functions
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Author : Dr. A. I. Mal'Cev
language : en
Publisher:
Release Date : 1965
Algorithms And Recursive Functions written by Dr. A. I. Mal'Cev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with categories.
Super Recursive Algorithms
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Author : Mark Burgin
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-12-22
Super Recursive Algorithms written by Mark Burgin 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 2006-12-22 with Mathematics categories.
* The first exposition on super-recursive algorithms, systematizing all main classes and providing an accessible, focused examination of the theory and its ramifications * Demonstrates how these algorithms are more appropriate as mathematical models for modern computers and how they present a better framework for computing methods * Develops a new practically-oriented perspective on the theory of algorithms, computation, and automata, as a whole
Enumerability Decidability Computability
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Author : Hans Hermes
language : en
Publisher: Springer
Release Date : 2013-03-14
Enumerability Decidability Computability written by Hans Hermes and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.
The task of developing algorithms to solve problems has always been considered by mathematicians to be an especially interesting and im portant one. Normally an algorithm is applicable only to a narrowly limited group of problems. Such is for instance the Euclidean algorithm, which determines the greatest common divisor of two numbers, or the well-known procedure which is used to obtain the square root of a natural number in decimal notation. The more important these special algorithms are, all the more desirable it seems to have algorithms of a greater range of applicability at one's disposal. Throughout the centuries, attempts to provide algorithms applicable as widely as possible were rather unsuc cessful. It was only in the second half of the last century that the first appreciable advance took place. Namely, an important group of the inferences of the logic of predicates was given in the form of a calculus. (Here the Boolean algebra played an essential pioneer role. ) One could now perhaps have conjectured that all mathematical problems are solvable by algorithms. However, well-known, yet unsolved problems (problems like the word problem of group theory or Hilbert's tenth problem, which considers the question of solvability of Diophantine equations) were warnings to be careful. Nevertheless, the impulse had been given to search for the essence of algorithms. Leibniz already had inquired into this problem, but without success.
The Recursive Book Of Recursion
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Author : Al Sweigart
language : en
Publisher: No Starch Press
Release Date : 2022-08-16
The Recursive Book Of Recursion written by Al Sweigart and has been published by No Starch Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-16 with Computers categories.
An accessible yet rigorous crash course on recursive programming using Python and JavaScript examples. Recursion has an intimidating reputation: it’s considered to be an advanced computer science topic frequently brought up in coding interviews. But there’s nothing magical about recursion. The Recursive Book of Recursion uses Python and JavaScript examples to teach the basics of recursion, exposing the ways that it’s often poorly taught and clarifying the fundamental principles of all recursive algorithms. You’ll learn when to use recursive functions (and, most importantly, when not to use them), how to implement the classic recursive algorithms often brought up in job interviews, and how recursive techniques can help solve countless problems involving tree traversal, combinatorics, and other tricky topics. This project-based guide contains complete, runnable programs to help you learn: How recursive functions make use of the call stack, a critical data structure almost never discussed in lessons on recursion How the head-tail and “leap of faith” techniques can simplify writing recursive functions How to use recursion to write custom search scripts for your filesystem, draw fractal art, create mazes, and more How optimization and memoization make recursive algorithms more efficient Al Sweigart has built a career explaining programming concepts in a fun, approachable manner. If you’ve shied away from learning recursion but want to add this technique to your programming toolkit, or if you’re racing to prepare for your next job interview, this book is for you.
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.
A Recursive Introduction To The Theory Of Computation
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Author : Carl Smith
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
A Recursive Introduction To The Theory Of Computation written by Carl Smith 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 2012-12-06 with Computers categories.
The aim of this textbook is to present an account of the theory of computation. After introducing the concept of a model of computation and presenting various examples, the author explores the limitations of effective computation via basic recursion theory. Self-reference and other methods are introduced as fundamental and basic tools for constructing and manipulating algorithms. From there the book considers the complexity of computations and the notion of a complexity measure is introduced. Finally, the book culminates in considering time and space measures and in classifying computable functions as being either feasible or not. The author assumes only a basic familiarity with discrete mathematics and computing, making this textbook ideal for a graduate-level introductory course. It is based on many such courses presented by the author and so numerous exercises are included. In addition, the solutions to most of these exercises are provided.
An Introduction To The General Theory Of Algorithms
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Author : Michael Machtey
language : en
Publisher: North Holland
Release Date : 1978
An Introduction To The General Theory Of Algorithms written by Michael Machtey and has been published by North Holland this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Algorithms categories.
Enumerability Decidability Computability
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Author : Hans Hermes
language : en
Publisher:
Release Date : 1969
Enumerability Decidability Computability written by Hans Hermes and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with categories.
Bounded Queries In Recursion Theory
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Author : William Levine
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Bounded Queries In Recursion Theory written by William Levine 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 2012-12-06 with Computers categories.
One of the major concerns of theoretical computer science is the classifi cation of problems in terms of how hard they are. The natural measure of difficulty of a function is the amount of time needed to compute it (as a function of the length of the input). Other resources, such as space, have also been considered. In recursion theory, by contrast, a function is considered to be easy to compute if there exists some algorithm that computes it. We wish to classify functions that are hard, i.e., not computable, in a quantitative way. We cannot use time or space, since the functions are not even computable. We cannot use Turing degree, since this notion is not quantitative. Hence we need a new notion of complexity-much like time or spac~that is quantitative and yet in some way captures the level of difficulty (such as the Turing degree) of a function.