Thinking Recursively

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Thinking Recursively

Author : Eric Roberts
Publisher : John Wiley & Sons
Page : 200 pages
File Size : 42,5 Mb
Release : 1986-01-17
Category : Computers
ISBN : UOM:39015009830640

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Thinking Recursively by Eric Roberts Pdf

The process of solving large problems by breaking them down intosmaller, more simple problems that have identical forms. ThinkingRecursively: A small text to solve large problems. Concentrating onthe practical value of recursion. this text, the first of its kind,is essential to computer science students' education. In thistext, students will learn the concept and programming applicationsof recursive thinking. This will ultimately prepare students foradvanced topics in computer science such as compiler construction,formal language theory, and the mathematical foundations ofcomputer science. Key Features: * Concentration on the practical value of recursion. * Eleven chapters emphasizing recursion as a unifiedconcept. * Extensive discussion of the mathematical concepts which helpthe students to develop an appropriate conceptual model. * Large number of imaginative examples with solutions. * Large sets of exercises.

Introduction to Recursive Programming

Author : Manuel Rubio-Sanchez
Publisher : CRC Press
Page : 420 pages
File Size : 49,9 Mb
Release : 2017-10-05
Category : Computers
ISBN : 9781351647175

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Introduction to Recursive Programming by Manuel Rubio-Sanchez Pdf

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.

The Recursive Mind

Author : Michael C. Corballis
Publisher : Princeton University Press
Page : 309 pages
File Size : 48,9 Mb
Release : 2014-04-27
Category : Psychology
ISBN : 9781400851492

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The Recursive Mind by Michael C. Corballis Pdf

A groundbreaking theory of what makes the human mind unique The Recursive Mind challenges the commonly held notion that language is what makes us uniquely human. In this compelling book, Michael Corballis argues that what distinguishes us in the animal kingdom is our capacity for recursion: the ability to embed our thoughts within other thoughts. "I think, therefore I am," is an example of recursive thought, because the thinker has inserted himself into his thought. Recursion enables us to conceive of our own minds and the minds of others. It also gives us the power of mental "time travel"—the ability to insert past experiences, or imagined future ones, into present consciousness. Drawing on neuroscience, psychology, animal behavior, anthropology, and archaeology, Corballis demonstrates how these recursive structures led to the emergence of language and speech, which ultimately enabled us to share our thoughts, plan with others, and reshape our environment to better reflect our creative imaginations. He shows how the recursive mind was critical to survival in the harsh conditions of the Pleistocene epoch, and how it evolved to foster social cohesion. He traces how language itself adapted to recursive thinking, first through manual gestures, then later, with the emergence of Homo sapiens, vocally. Toolmaking and manufacture arose, and the application of recursive principles to these activities in turn led to the complexities of human civilization, the extinction of fellow large-brained hominins like the Neandertals, and our species' supremacy over the physical world.

Think Like a Programmer

Author : V. Anton Spraul
Publisher : No Starch Press
Page : 260 pages
File Size : 40,9 Mb
Release : 2012-08-12
Category : Computers
ISBN : 9781593274566

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Think Like a Programmer by V. Anton Spraul Pdf

The real challenge of programming isn't learning a language's syntax—it's learning to creatively solve problems so you can build something great. In this one-of-a-kind text, author V. Anton Spraul breaks down the ways that programmers solve problems and teaches you what other introductory books often ignore: how to Think Like a Programmer. Each chapter tackles a single programming concept, like classes, pointers, and recursion, and open-ended exercises throughout challenge you to apply your knowledge. You'll also learn how to: –Split problems into discrete components to make them easier to solve –Make the most of code reuse with functions, classes, and libraries –Pick the perfect data structure for a particular job –Master more advanced programming tools like recursion and dynamic memory –Organize your thoughts and develop strategies to tackle particular types of problems Although the book's examples are written in C++, the creative problem-solving concepts they illustrate go beyond any particular language; in fact, they often reach outside the realm of computer science. As the most skillful programmers know, writing great code is a creative art—and the first step in creating your masterpiece is learning to Think Like a Programmer.

The Recursive Book of Recursion

Author : Al Sweigart
Publisher : No Starch Press
Page : 330 pages
File Size : 53,8 Mb
Release : 2022-08-16
Category : Computers
ISBN : 9781718502031

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The Recursive Book of Recursion by Al Sweigart Pdf

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.

Think Java

Author : Allen B. Downey,Chris Mayfield
Publisher : "O'Reilly Media, Inc."
Page : 251 pages
File Size : 41,5 Mb
Release : 2016-05-06
Category : Computers
ISBN : 9781491929537

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Think Java by Allen B. Downey,Chris Mayfield Pdf

Currently used at many colleges, universities, and high schools, this hands-on introduction to computer science is ideal for people with little or no programming experience. The goal of this concise book is not just to teach you Java, but to help you think like a computer scientist. You’ll learn how to program—a useful skill by itself—but you’ll also discover how to use programming as a means to an end. Authors Allen Downey and Chris Mayfield start with the most basic concepts and gradually move into topics that are more complex, such as recursion and object-oriented programming. Each brief chapter covers the material for one week of a college course and includes exercises to help you practice what you’ve learned. Learn one concept at a time: tackle complex topics in a series of small steps with examples Understand how to formulate problems, think creatively about solutions, and write programs clearly and accurately Determine which development techniques work best for you, and practice the important skill of debugging Learn relationships among input and output, decisions and loops, classes and methods, strings and arrays Work on exercises involving word games, graphics, puzzles, and playing cards

Introduction to Recursive Programming

Author : Manuel Rubio-Sanchez
Publisher : CRC Press
Page : 411 pages
File Size : 52,5 Mb
Release : 2017-10-05
Category : Computers
ISBN : 9781498735308

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Introduction to Recursive Programming by Manuel Rubio-Sanchez Pdf

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.

Think Julia

Author : Ben Lauwens,Allen B. Downey
Publisher : "O'Reilly Media, Inc."
Page : 298 pages
File Size : 52,8 Mb
Release : 2019-04-05
Category : Computers
ISBN : 9781492044987

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Think Julia by Ben Lauwens,Allen B. Downey Pdf

If you’re just learning how to program, Julia is an excellent JIT-compiled, dynamically typed language with a clean syntax. This hands-on guide uses Julia 1.0 to walk you through programming one step at a time, beginning with basic programming concepts before moving on to more advanced capabilities, such as creating new types and multiple dispatch. Designed from the beginning for high performance, Julia is a general-purpose language ideal for not only numerical analysis and computational science but also web programming and scripting. Through exercises in each chapter, you’ll try out programming concepts as you learn them. Think Julia is perfect for students at the high school or college level as well as self-learners and professionals who need to learn programming basics. Start with the basics, including language syntax and semantics Get a clear definition of each programming concept Learn about values, variables, statements, functions, and data structures in a logical progression Discover how to work with files and databases Understand types, methods, and multiple dispatch Use debugging techniques to fix syntax, runtime, and semantic errors Explore interface design and data structures through case studies

Algorithmic Thinking

Author : Daniel Zingaro
Publisher : No Starch Press
Page : 409 pages
File Size : 55,7 Mb
Release : 2020-12-15
Category : Computers
ISBN : 9781718500815

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Algorithmic Thinking by Daniel Zingaro Pdf

A hands-on, problem-based introduction to building algorithms and data structures to solve problems with a computer. Algorithmic Thinking will teach you how to solve challenging programming problems and design your own algorithms. Daniel Zingaro, a master teacher, draws his examples from world-class programming competitions like USACO and IOI. You'll learn how to classify problems, choose data structures, and identify appropriate algorithms. You'll also learn how your choice of data structure, whether a hash table, heap, or tree, can affect runtime and speed up your algorithms; and how to adopt powerful strategies like recursion, dynamic programming, and binary search to solve challenging problems. Line-by-line breakdowns of the code will teach you how to use algorithms and data structures like: The breadth-first search algorithm to find the optimal way to play a board game or find the best way to translate a book Dijkstra's algorithm to determine how many mice can exit a maze or the number of fastest routes between two locations The union-find data structure to answer questions about connections in a social network or determine who are friends or enemies The heap data structure to determine the amount of money given away in a promotion The hash-table data structure to determine whether snowflakes are unique or identify compound words in a dictionary NOTE: Each problem in this book is available on a programming-judge website. You'll find the site's URL and problem ID in the description. What's better than a free correctness check?

Algorithmic Thinking, 2nd Edition

Author : Daniel Zingaro
Publisher : No Starch Press
Page : 481 pages
File Size : 40,7 Mb
Release : 2024-01-23
Category : Computers
ISBN : 9781718503236

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Algorithmic Thinking, 2nd Edition by Daniel Zingaro Pdf

Get in the game and learn essential computer algorithms by solving competitive programming problems, in the fully revised second edition of the bestselling original. (Still no math required!) Are you hitting a wall with data structures and algorithms? Whether you’re a student prepping for coding interviews or an independent learner, this book is your essential guide to efficient problem-solving in programming. UNLOCK THE POWER OF DATA STRUCTURES & ALGORITHMS: Learn the intricacies of hash tables, recursion, dynamic programming, trees, graphs, and heaps. Become proficient in choosing and implementing the best solutions for any coding challenge. REAL-WORLD, COMPETITION-PROVEN CODE EXAMPLES: The programs and challenges in this book aren’t just theoretical—they’re drawn from real programming competitions. Train with problems that have tested and honed the skills of coders around the world. GET INTERVIEW-READY: Prepare yourself for coding interviews with practice exercises that help you think algorithmically, weigh different solutions, and implement the best choices efficiently. WRITTEN IN C, USEFUL ACROSS LANGUAGES: The code examples are written in C and designed for clarity and accessibility to those familiar with languages like C++, Java, or Python. If you need help with the C code, no problem: We’ve got recommended reading, too. Algorithmic Thinking is the complete package, providing the solid foundation you need to elevate your coding skills to the next level.

Joe Celko's Thinking in Sets: Auxiliary, Temporal, and Virtual Tables in SQL

Author : Joe Celko
Publisher : Morgan Kaufmann
Page : 384 pages
File Size : 54,6 Mb
Release : 2008-01-22
Category : Computers
ISBN : 008055752X

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Joe Celko's Thinking in Sets: Auxiliary, Temporal, and Virtual Tables in SQL by Joe Celko Pdf

Perfectly intelligent programmers often struggle when forced to work with SQL. Why? Joe Celko believes the problem lies with their procedural programming mindset, which keeps them from taking full advantage of the power of declarative languages. The result is overly complex and inefficient code, not to mention lost productivity. This book will change the way you think about the problems you solve with SQL programs.. Focusing on three key table-based techniques, Celko reveals their power through detailed examples and clear explanations. As you master these techniques, you’ll find you are able to conceptualize problems as rooted in sets and solvable through declarative programming. Before long, you’ll be coding more quickly, writing more efficient code, and applying the full power of SQL • Filled with the insights of one of the world’s leading SQL authorities - noted for his knowledge and his ability to teach what he knows. • Focuses on auxiliary tables (for computing functions and other values by joins), temporal tables (for temporal queries, historical data, and audit information), and virtual tables (for improved performance). • Presents clear guidance for selecting and correctly applying the right table technique.

The Philosophy of Recursive Thinking

Author : Manfred Kopfer
Publisher : BookRix
Page : 77 pages
File Size : 54,7 Mb
Release : 2018-10-05
Category : Philosophy
ISBN : 9783743871496

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The Philosophy of Recursive Thinking by Manfred Kopfer Pdf

If there is nothing you care for, then this book won't make a difference. For everyone else, it shows how we can escape postmodernist Nihilism and make reason great again.

Recursion Theory for Metamathematics

Author : Raymond M. Smullyan
Publisher : Oxford University Press
Page : 184 pages
File Size : 51,9 Mb
Release : 1993-01-28
Category : Mathematics
ISBN : 0195344812

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Recursion Theory for Metamathematics by Raymond M. Smullyan Pdf

This work is a sequel to the author's Gödel's Incompleteness Theorems, though it can be read independently by anyone familiar with Gödel's incompleteness theorem for Peano arithmetic. The book deals mainly with those aspects of recursion theory that have applications to the metamathematics of incompleteness, undecidability, and related topics. It is both an introduction to the theory and a presentation of new results in the field.

Discovering the Brain

Author : National Academy of Sciences,Institute of Medicine,Sandra Ackerman
Publisher : National Academies Press
Page : 195 pages
File Size : 49,9 Mb
Release : 1992-01-01
Category : Medical
ISBN : 9780309045292

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Discovering the Brain by National Academy of Sciences,Institute of Medicine,Sandra Ackerman Pdf

The brain ... There is no other part of the human anatomy that is so intriguing. How does it develop and function and why does it sometimes, tragically, degenerate? The answers are complex. In Discovering the Brain, science writer Sandra Ackerman cuts through the complexity to bring this vital topic to the public. The 1990s were declared the "Decade of the Brain" by former President Bush, and the neuroscience community responded with a host of new investigations and conferences. Discovering the Brain is based on the Institute of Medicine conference, Decade of the Brain: Frontiers in Neuroscience and Brain Research. Discovering the Brain is a "field guide" to the brainâ€"an easy-to-read discussion of the brain's physical structure and where functions such as language and music appreciation lie. Ackerman examines: How electrical and chemical signals are conveyed in the brain. The mechanisms by which we see, hear, think, and pay attentionâ€"and how a "gut feeling" actually originates in the brain. Learning and memory retention, including parallels to computer memory and what they might tell us about our own mental capacity. Development of the brain throughout the life span, with a look at the aging brain. Ackerman provides an enlightening chapter on the connection between the brain's physical condition and various mental disorders and notes what progress can realistically be made toward the prevention and treatment of stroke and other ailments. Finally, she explores the potential for major advances during the "Decade of the Brain," with a look at medical imaging techniquesâ€"what various technologies can and cannot tell usâ€"and how the public and private sectors can contribute to continued advances in neuroscience. This highly readable volume will provide the public and policymakersâ€"and many scientists as wellâ€"with a helpful guide to understanding the many discoveries that are sure to be announced throughout the "Decade of the Brain."

Recursively Enumerable Sets and Degrees

Author : Robert I. Soare
Publisher : Springer Science & Business Media
Page : 460 pages
File Size : 53,9 Mb
Release : 1999-11-01
Category : Mathematics
ISBN : 3540152997

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Recursively Enumerable Sets and Degrees by Robert I. Soare Pdf

..."The book, written by one of the main researchers on the field, gives a complete account of the theory of r.e. degrees. .... The definitions, results and proofs are always clearly motivated and explained before the formal presentation; the proofs are described with remarkable clarity and conciseness. The book is highly recommended to everyone interested in logic. It also provides a useful background to computer scientists, in particular to theoretical computer scientists." Acta Scientiarum Mathematicarum, Ungarn 1988 ..."The main purpose of this book is to introduce the reader to the main results and to the intricacies of the current theory for the recurseively enumerable sets and degrees. The author has managed to give a coherent exposition of a rather complex and messy area of logic, and with this book degree-theory is far more accessible to students and logicians in other fields than it used to be." Zentralblatt für Mathematik, 623.1988