Introduction To Mathematics For Computing Algorithms And Data Structures

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An Introduction To Data Structures And Algorithms
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Author : J.A. Storer
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
An Introduction To Data Structures And Algorithms written by J.A. Storer 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.
Data structures and algorithms are presented at the college level in a highly accessible format that presents material with one-page displays in a way that will appeal to both teachers and students. The thirteen chapters cover: Models of Computation, Lists, Induction and Recursion, Trees, Algorithm Design, Hashing, Heaps, Balanced Trees, Sets Over a Small Universe, Graphs, Strings, Discrete Fourier Transform, Parallel Computation. Key features: Complicated concepts are expressed clearly in a single page with minimal notation and without the "clutter" of the syntax of a particular programming language; algorithms are presented with self-explanatory "pseudo-code." * Chapters 1-4 focus on elementary concepts, the exposition unfolding at a slower pace. Sample exercises with solutions are provided. Sections that may be skipped for an introductory course are starred. Requires only some basic mathematics background and some computer programming experience. * Chapters 5-13 progress at a faster pace. The material is suitable for undergraduates or first-year graduates who need only review Chapters 1 -4. * This book may be used for a one-semester introductory course (based on Chapters 1-4 and portions of the chapters on algorithm design, hashing, and graph algorithms) and for a one-semester advanced course that starts at Chapter 5. A year-long course may be based on the entire book. * Sorting, often perceived as rather technical, is not treated as a separate chapter, but is used in many examples (including bubble sort, merge sort, tree sort, heap sort, quick sort, and several parallel algorithms). Also, lower bounds on sorting by comparisons are included with the presentation of heaps in the context of lower bounds for comparison-based structures. * Chapter 13 on parallel models of computation is something of a mini-book itself, and a good way to end a course. Although it is not clear what parallel
Introduction To Mathematics For Computing Algorithms And Data Structures
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Author : Enamul Haque
language : en
Publisher: Enel Publications
Release Date : 2023-03-01
Introduction To Mathematics For Computing Algorithms And Data Structures written by Enamul Haque and has been published by Enel Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-01 with Business & Economics categories.
Enter the captivating world of Mathematics and Computing with "Introduction to Mathematics for Computing: Algorithms and Data Structures." This comprehensive guide is designed for non-technical enthusiasts, providing an accessible and engaging introduction to essential mathematical concepts for computing. Dive into six insightful chapters that introduce you to the foundations of mathematical structures in computing, discrete mathematics and algorithms, linear algebra and calculus, probability and statistics, optimisation, and Boolean algebra. Explore sets, sequences, functions, graphs, counting principles, and more. Learn about data structures, algorithms, and optimisation techniques used in computing. The book's practice questions, exercises, and projects reinforce the concepts learned, ensuring a solid understanding of these essential topics. Written in accessible and straightforward language, "Introduction to Mathematics for Computing: Algorithms and Data Structures" is the perfect resource for anyone eager to explore the exciting world of Mathematics and Computing. Start your journey today!
Discrete Mathematical Algorithm And Data Structures
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Author : Sanjib Sinha
language : en
Publisher:
Release Date : 2021-03-26
Discrete Mathematical Algorithm And Data Structures written by Sanjib Sinha and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-26 with categories.
Readers will learn discrete mathematical abstracts as well as its implementation in algorithm and data structures shown in various programming languages, such as C, C++, PHP, Java, C#, Python and Dart. This book combines two major components of Mathematics and Computer Science under one roof. Without the core conceptions and tools derived from discrete mathematics, one cannot understand the abstract or the general idea involving algorithm and data structures in Computer Science. The objects of data structures are basically objects of discrete mathematics. This book tries to bridge the gap between two major components of Mathematics and Computer Science.In any computer science course, studying discrete mathematics is essential, although they are taught separately, except in a few cases. Yet, a comprehensive book, combining these two major components, is hard to find out; not only that, it is almost impossible to understand one without the help of other.Hope, this book will fill the gap. Readers will learn discrete mathematical abstracts as well as its implementation in algorithm and data structures shown in various programming language, such as C++, Java, C#, Python and Dart.1. Introduction to the Discourse Is Discrete Mathematics enough to study Computer Science? A short Introduction to Discrete Mathematics What is Discrete Mathematics What is the relationship between Discrete Mathematics and Computer Science Introducing necessary conceptions 2. Introduction to Programming Language and Boolean Algebra Logic, Mathematics, and Programming Language Introduction to Boolean Algebra 3. De Morgan's Laws on Boolean Algebra, Logical Expression, and Algorithm Logical Expression Short Circuit EvaluationSyntax, Semantics and Conditional ExecutionWhy we need Control Constructs Discrete Mathematical Notations and Algorithm 4. Data Structures in different Programming languages Mean, Median and Mode Array, the First Step to Data Structure Let us understand some Array features Set Theory, Probability and Array Skewed Mean, Maximized Median Complex Array Algorithm 5. Data Structures: Abstractions and Implementation How objects work with each other More Algorithm and Time Complexity Introducing Data Structures How Calculus and Linear Algebra are Related to this Discourse 6. Data Structures in Detail Frequently Asked Questions about Data Structures Abstract Data Type (ADT) Linear Data Structures Modeling of a Structure ArrayList to overcome limitations of Array ArrayList or LinkedList, which is faster? Collection Framework in programming languages Stack and Queue in Java Deque, a high-performance Abstract Data Type 7. Algorithm, Data Structure, Collection Framework and Standard Template Library (STL) Introducing Algorithm Library Different types of Algorithms Binary Tree and Data Structure Collection Framework in Java Discrete Mathematical Abstractions and Implementation through Java Collection Comparator, Comparable and Iterator Standard Template Library in C++ 8. Time Complexity Order of n, or O(n) Big O Notation 9. Set, Symmetric Difference and Propositional Logic Why Set is important in Data Structures How Symmetric Difference and Propositional Logic combine 10. Combinatorics and Counting, Permutation and Combinations Permutation and CombinationWhat Next
Discrete Mathematical Algorithm And Data Structures
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Author : Sanjib Sinha
language : en
Publisher:
Release Date : 2020-05-28
Discrete Mathematical Algorithm And Data Structures written by Sanjib Sinha and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-28 with categories.
Readers will learn discrete mathematical abstracts as well as its implementation in algorithm and data structures shown in various programming languages, such as C, C++, PHP, Java, C#, Python and Dart. This book combines two major components of Mathematics and Computer Science under one roof. Without the core conceptions and tools derived from discrete mathematics, one cannot understand the abstract or the general idea involving algorithm and data structures in Computer Science. The objects of data structures are basically objects of discrete mathematics. This book tries to bridge the gap between two major components of Mathematics and Computer Science.In any computer science course, studying discrete mathematics is essential, although they are taught separately, except in a few cases. Yet, a comprehensive book, combining these two major components, is hard to find out; not only that, it is almost impossible to understand one without the help of other.Hope, this book will fill the gap. Readers will learn discrete mathematical abstracts as well as its implementation in algorithm and data structures shown in various programming language, such as C++, Java, C#, Python and Dart.1. Introduction to the Discourse Is Discrete Mathematics enough to study Computer Science? A short Introduction to Discrete Mathematics What is Discrete Mathematics What is the relationship between Discrete Mathematics and Computer Science Introducing necessary conceptions 2. Introduction to Programming Language and Boolean Algebra Logic, Mathematics, and Programming Language Introduction to Boolean Algebra 3. De Morgan's Laws on Boolean Algebra, Logical Expression, and Algorithm Logical Expression Short Circuit Evaluation Syntax, Semantics and Conditional Execution Why we need Control Constructs Discrete Mathematical Notations and Algorithm 4. Data Structures in different Programming languages Mean, Median and Mode Array, the First Step to Data Structure Let us understand some Array features Set Theory, Probability and Array Skewed Mean, Maximized Median Complex Array Algorithm 5. Data Structures: Abstractions and Implementation How objects work with each other More Algorithm and Time Complexity Introducing Data Structures How Calculus and Linear Algebra are Related to this Discourse 6. Data Structures in Detail Frequently Asked Questions about Data Structures Abstract Data Type (ADT) Linear Data Structures Modeling of a Structure ArrayList to overcome limitations of Array ArrayList or LinkedList, which is faster? Collection Framework in programming languages Stack and Queue in Java Deque, a high-performance Abstract Data Type 7. Algorithm, Data Structure, Collection Framework and Standard Template Library (STL) Introducing Algorithm Library Different types of Algorithms Binary Tree and Data Structure Collection Framework in Java Discrete Mathematical Abstractions and Implementation through Java Collection Comparator, Comparable and Iterator Standard Template Library in C++ 8. Time Complexity Order of n, or O(n) Big O Notation 9. Set, Symmetric Difference and Propositional Logic Why Set is important in Data Structures How Symmetric Difference and Propositional Logic combine 10. Combinatorics and Counting, Permutation and Combinations Permutation and Combination What Next
Data Structures Algorithm Analysis In C
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Author : Clifford A. Shaffer
language : en
Publisher: Courier Corporation
Release Date : 2011-01-01
Data Structures Algorithm Analysis In C written by Clifford A. Shaffer and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-01 with Computers categories.
A comprehensive treatment focusing on the creation of efficient data structures and algorithms, this text explains how to select or design the data structure best suited to specific problems. It uses C++ as the programming language and is suitable for second-year data structure courses and computer science courses in algorithmic analysis.
Data Structures And Algorithms With Python
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Author : Kent D. Lee
language : en
Publisher: Springer
Release Date : 2015-01-12
Data Structures And Algorithms With Python written by Kent D. Lee and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-12 with Computers categories.
This textbook explains the concepts and techniques required to write programs that can handle large amounts of data efficiently. Project-oriented and classroom-tested, the book presents a number of important algorithms supported by examples that bring meaning to the problems faced by computer programmers. The idea of computational complexity is also introduced, demonstrating what can and cannot be computed efficiently so that the programmer can make informed judgements about the algorithms they use. Features: includes both introductory and advanced data structures and algorithms topics, with suggested chapter sequences for those respective courses provided in the preface; provides learning goals, review questions and programming exercises in each chapter, as well as numerous illustrative examples; offers downloadable programs and supplementary files at an associated website, with instructor materials available from the author; presents a primer on Python for those from a different language background.
Sequential And Parallel Algorithms And Data Structures
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Author : Peter Sanders
language : en
Publisher: Springer Nature
Release Date : 2019-08-31
Sequential And Parallel Algorithms And Data Structures written by Peter Sanders and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-31 with Computers categories.
This textbook is a concise introduction to the basic toolbox of structures that allow efficient organization and retrieval of data, key algorithms for problems on graphs, and generic techniques for modeling, understanding, and solving algorithmic problems. The authors aim for a balance between simplicity and efficiency, between theory and practice, and between classical results and the forefront of research. Individual chapters cover arrays and linked lists, hash tables and associative arrays, sorting and selection, priority queues, sorted sequences, graph representation, graph traversal, shortest paths, minimum spanning trees, optimization, collective communication and computation, and load balancing. The authors also discuss important issues such as algorithm engineering, memory hierarchies, algorithm libraries, and certifying algorithms. Moving beyond the sequential algorithms and data structures of the earlier related title, this book takes into account the paradigm shift towards the parallel processing required to solve modern performance-critical applications and how this impacts on the teaching of algorithms. The book is suitable for undergraduate and graduate students and professionals familiar with programming and basic mathematical language. Most chapters have the same basic structure: the authors discuss a problem as it occurs in a real-life situation, they illustrate the most important applications, and then they introduce simple solutions as informally as possible and as formally as necessary so the reader really understands the issues at hand. As they move to more advanced and optional issues, their approach gradually leads to a more mathematical treatment, including theorems and proofs. The book includes many examples, pictures, informal explanations, and exercises, and the implementation notes introduce clean, efficient implementations in languages such as C++ and Java.
Data Structures And Network Algorithms
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Author : Robert Endre Tarjan
language : en
Publisher: SIAM
Release Date : 1983-01-01
Data Structures And Network Algorithms written by Robert Endre Tarjan and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983-01-01 with Technology & Engineering categories.
There has been an explosive growth in the field of combinatorial algorithms. These algorithms depend not only on results in combinatorics and especially in graph theory, but also on the development of new data structures and new techniques for analyzing algorithms. Four classical problems in network optimization are covered in detail, including a development of the data structures they use and an analysis of their running time. Data Structures and Network Algorithms attempts to provide the reader with both a practical understanding of the algorithms, described to facilitate their easy implementation, and an appreciation of the depth and beauty of the field of graph algorithms.
Space Efficient Data Structures Streams And Algorithms
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Author : Andrej Brodnik
language : en
Publisher: Springer
Release Date : 2013-08-13
Space Efficient Data Structures Streams And Algorithms written by Andrej Brodnik and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-13 with Computers categories.
This Festschrift volume, published in honour of J. Ian Munro, contains contributions written by some of his colleagues, former students, and friends. In celebration of his 66th birthday the colloquium "Conference on Space Efficient Data Structures, Streams and Algorithms" was held in Waterloo, ON, Canada, during August 15-16, 2013. The articles presented herein cover some of the main topics of Ian's research interests. Together they give a good overall perspective of the last 40 years of research in algorithms and data structures.
Introduction To Computer Systems And Software Engineering
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Author : Enamul Haque
language : en
Publisher: Enel Publications
Release Date : 2023-03-18
Introduction To Computer Systems And Software Engineering written by Enamul Haque and has been published by Enel Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-18 with Computers categories.
Discover the fascinating world of computer systems and software engineering with "Computer Science Engineering (CSE) for Non-CSE Enthusiasts: Introduction to Computer Systems and Software Engineering." This comprehensive guide is designed for enthusiasts with no prior background in computer science or programming, making complex concepts accessible and engaging. Dive into three captivating chapters that introduce you to computer systems, programming, and software engineering. Explore the history of computers, hardware, software, operating systems, and networks. Unravel the mysteries of computer programming and learn about object-oriented programming and programming languages. Finally, understand the objectives of software engineering, its comparison with other disciplines, and the software design process. The book’s practice questions, exercises, and projects reinforce the concepts learned, ensuring a solid understanding of these essential topics. Written in an accessible and straightforward language, "Computer Science Engineering (CSE) for Non-CSE Enthusiasts" is the perfect resource for anyone eager to explore the exciting world of computer systems and software engineering. Start your journey today!