Mathematics For Competitive Programming And Data Structures Mastering The Essentials

Author : Anonim
Publisher : Ayush Saxena
Page : 104 pages
File Size : 49,9 Mb
Release : 2023-07-01
Category : Antiques & Collectibles
ISBN : 9798397120371

Get Book

Mathematics for Competitive Programming and Data Structures: Mastering the Essentials by Anonim Pdf

"Mathematics for Competitive Programming and Data Structures: Mastering the Essentials" is a comprehensive guide that bridges the gap between mathematics and programming, catering specifically to the needs of competitive programmers and those studying data structures and algorithms. This book equips readers with a solid foundation in essential mathematical concepts and techniques that are frequently used in the field of computer science. With a focus on practicality and problem-solving, this book covers a wide range of topics including prime numbers, combinatorics, discrete mathematics, graph theory, trees, order statistics, probability and statistics, geometry, numerical methods, and linear algebra. Each topic is explained in detail, providing clear explanations, algorithms, and code examples in C++ to reinforce understanding and implementation. By exploring prime numbers, permutations, combinations, set theory, graph algorithms, and more, readers will develop a strong mathematical toolkit for solving complex algorithmic problems efficiently. The book also delves into probability theory, statistical measures, geometric algorithms, numerical integration, and linear algebra, empowering readers to tackle a wide variety of programming challenges. Whether you are preparing for competitive programming contests, enhancing your problem-solving skills, or looking to strengthen your foundation in data structures and algorithms, "Mathematics for Competitive Programming and Data Structures" is your go-to resource. Sharpen your mathematical prowess, optimize your coding techniques, and gain the confidence to excel in the world of competitive programming and algorithmic problem-solving.

Author : Antti Laaksonen
Publisher : Springer Nature
Page : 316 pages
File Size : 55,5 Mb
Release : 2020-05-08
Category : Computers
ISBN : 9783030393571

Get Book

Guide to Competitive Programming by Antti Laaksonen Pdf

Building on what already is the most comprehensive introduction to competitive programming, this enhanced new textbook features new material on advanced topics, such as calculating Fourier transforms, finding minimum cost flows in graphs, and using automata in string problems. Critically, the text accessibly describes and shows how competitive programming is a proven method of implementing and testing algorithms, as well as developing computational thinking and improving both programming and debugging skills. Topics and features: introduces dynamic programming and other fundamental algorithm design techniques, and investigates a wide selection of graph algorithms; compatible with the IOI Syllabus, yet also covering more advanced topics, such as maximum flows, Nim theory, and suffix structures; surveys specialized algorithms for trees, and discusses the mathematical topics that are relevant in competitive programming; reviews the features of the C++ programming language, and describes how to create efficient algorithms that can quickly process large data sets; discusses sorting algorithms and binary search, and examines a selection of data structures of the C++ standard library; covers such advanced algorithm design topics as bit-parallelism and amortized analysis, and presents a focus on efficiently processing array range queries; describes a selection of more advanced topics, including square-root algorithms and dynamic programming optimization. Fully updated, expanded and easy to follow, this core textbook/guide is an ideal reference for all students needing to learn algorithms and to practice for programming contests. Knowledge of programming basics is assumed, but previous background in algorithm design or programming contests is not necessary. With its breadth of topics, examples and references, the book is eminently suitable for both beginners and more experienced readers alike.

Author : Antti Laaksonen
Publisher : Springer
Page : 283 pages
File Size : 53,8 Mb
Release : 2018-01-02
Category : Computers
ISBN : 9783319725475

Get Book

Guide to Competitive Programming by Antti Laaksonen Pdf

This invaluable textbook presents a comprehensive introduction to modern competitive programming. The text highlights how competitive programming has proven to be an excellent way to learn algorithms, by encouraging the design of algorithms that actually work, stimulating the improvement of programming and debugging skills, and reinforcing the type of thinking required to solve problems in a competitive setting. The book contains many “folklore” algorithm design tricks that are known by experienced competitive programmers, yet which have previously only been formally discussed in online forums and blog posts. Topics and features: reviews the features of the C++ programming language, and describes how to create efficient algorithms that can quickly process large data sets; discusses sorting algorithms and binary search, and examines a selection of data structures of the C++ standard library; introduces the algorithm design technique of dynamic programming, and investigates elementary graph algorithms; covers such advanced algorithm design topics as bit-parallelism and amortized analysis, and presents a focus on efficiently processing array range queries; surveys specialized algorithms for trees, and discusses the mathematical topics that are relevant in competitive programming; examines advanced graph techniques, geometric algorithms, and string techniques; describes a selection of more advanced topics, including square root algorithms and dynamic programming optimization. This easy-to-follow guide is an ideal reference for all students wishing to learn algorithms, and practice for programming contests. Knowledge of the basics of programming is assumed, but previous background in algorithm design or programming contests is not necessary. Due to the broad range of topics covered at various levels of difficulty, this book is suitable for both beginners and more experienced readers.

Author : Bonnie Averbach,Orin Chein
Publisher : Courier Corporation
Page : 480 pages
File Size : 54,9 Mb
Release : 2012-03-15
Category : Mathematics
ISBN : 9780486131740

Get Book

Problem Solving Through Recreational Mathematics by Bonnie Averbach,Orin Chein Pdf

Fascinating approach to mathematical teaching stresses use of recreational problems, puzzles, and games to teach critical thinking. Logic, number and graph theory, games of strategy, much more. Includes answers to selected problems. Free solutions manual available for download at the Dover website.

Author : Sanjib Sinha
Publisher : Unknown
Page : 650 pages
File Size : 51,5 Mb
Release : 2020-05-28
Category : Electronic
ISBN : 9798648521728

Get Book

Discrete Mathematical Algorithm, and Data Structures by Sanjib Sinha Pdf

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

Author : Robert Sedgewick
Publisher : Addison-Wesley Professional
Page : 1415 pages
File Size : 43,7 Mb
Release : 1997-08-22
Category : Computers
ISBN : 9780768685015

Get Book

Algorithms in C, Parts 1-4 by Robert Sedgewick Pdf

Robert Sedgewick has thoroughly rewritten and substantially expanded his popular work to provide current and comprehensive coverage of important algorithms and data structures. Many new algorithms are presented, and the explanations of each algorithm are much more detailed than in previous editions. A new text design and detailed, innovative figures, with accompanying commentary, greatly enhance the presentation. The third edition retains the successful blend of theory and practice that has made Sedgewick's work an invaluable resource for more than 250,000 programmers! This particular book, Parts 1-4, represents the essential first half of Sedgewick's complete work. It provides extensive coverage of fundamental data structures and algorithms for sorting, searching, and related applications. The algorithms and data structures are expressed in concise implementations in C, so that you can both appreciate their fundamental properties and test them on real applications. Of course, the substance of the book applies to programming in any language. Highlights Expanded coverage of arrays, linked lists, strings, trees, and other basic data structures Greater emphasis on abstract data types (ADTs) than in previous editions Over 100 algorithms for sorting, selection, priority queue ADT implementations, and symbol table ADT (searching) implementations New implementations of binomial queues, multiway radix sorting, Batcher's sorting networks, randomized BSTs, splay trees, skip lists, multiway tries, and much more Increased quantitative information about the algorithms, including extensive empirical studies and basic analytic studies, giving you a basis for comparing them Over 1000 new exercises to help you learn the properties of algorithms Whether you are a student learning the algorithms for the first time or a professional interested in having up-to-date reference material, you will find a wealth of useful information in this book.

Author : Dennis C. Smolarski
Publisher : Research & Education Assoc.
Page : 110 pages
File Size : 41,9 Mb
Release : 2013-01-01
Category : Computers
ISBN : 073867172X

Get Book

Data Structures II Essentials by Dennis C. Smolarski Pdf

REA’s Essentials provide quick and easy access to critical information in a variety of different fields, ranging from the most basic to the most advanced. As its name implies, these concise, comprehensive study guides summarize the essentials of the field covered. Essentials are helpful when preparing for exams, doing homework and will remain a lasting reference source for students, teachers, and professionals. Data Structures II includes sets, trees, advanced sorting, elementary graph theory, hashing, memory management and garbage collection, and appendices on recursion vs. iteration, algebraic notation, and large integer arithmetic.

Author : Steven Halim,Felix Halim
Publisher : Unknown
Page : 246 pages
File Size : 42,9 Mb
Release : 2011
Category : Electronic
ISBN : OCLC:781433129

Get Book

Competitive Programming 2 by Steven Halim,Felix Halim Pdf

Author : Anonim
Publisher : Cybellium Ltd
Page : 225 pages
File Size : 44,8 Mb
Release : 2024-06-30
Category : Computers
ISBN : 9798863672595

Get Book

Mastering Algorithms and Data Structures by Anonim Pdf

Unleash the Power of Efficient Problem-Solving In the realm of computer science and programming, algorithms and data structures are the building blocks of efficient problem-solving. "Mastering Algorithms and Data Structures" is your essential guide to understanding and harnessing the potential of these foundational concepts, empowering you to create optimized and elegant solutions. About the Book: As technology evolves and computational challenges grow more complex, a solid foundation in algorithms and data structures becomes crucial for programmers and engineers. "Mastering Algorithms and Data Structures" offers an in-depth exploration of these core concepts—an indispensable toolkit for professionals and enthusiasts alike. This book caters to both beginners and experienced programmers aiming to excel in algorithmic thinking, problem-solving, and code optimization. Key Features: Algorithmic Fundamentals: Begin by understanding the core principles of algorithms. Learn how algorithms drive the execution of tasks and solve computational problems. Data Structures: Dive into the world of data structures. Explore arrays, linked lists, stacks, queues, trees, and graphs—the fundamental building blocks of organizing and storing data. Algorithm Analysis: Grasp the art of analyzing algorithm complexity. Learn how to measure time and space efficiency to ensure optimal algorithm performance. Searching and Sorting Algorithms: Explore essential searching and sorting algorithms. Understand how to search for data efficiently and how to sort data for easier manipulation. Dynamic Programming: Understand the power of dynamic programming. Learn how to break down complex problems into smaller subproblems for efficient solving. Graph Algorithms: Delve into graph algorithms. Explore techniques for traversing graphs, finding shortest paths, and detecting cycles. String Algorithms: Grasp techniques for manipulating and analyzing strings. Learn how to search for patterns, match substrings, and perform string transformations. Real-World Applications: Gain insights into how algorithms and data structures are applied across industries. From software development to machine learning, discover the diverse applications of these concepts. Why This Book Matters: In a digital age driven by technological innovation, mastering algorithms and data structures is a competitive advantage. "Mastering Algorithms and Data Structures" empowers programmers, software engineers, and technology enthusiasts to leverage these foundational concepts, enabling them to create efficient, elegant, and optimized solutions that solve complex computational problems. Unlock the Potential of Problem-Solving: In the landscape of computer science, algorithms and data structures are the keys to efficient problem-solving. "Mastering Algorithms and Data Structures" equips you with the knowledge needed to leverage these foundational concepts, enabling you to design elegant and optimized solutions to a wide range of computational challenges. Whether you're an experienced programmer or new to the world of algorithms, this book will guide you in building a solid foundation for effective problem-solving and algorithmic thinking. Your journey to mastering algorithms and data structures starts here. © 2023 Cybellium Ltd. All rights reserved. www.cybellium.com

Author : Ronald L. Graham,Donald E. Knuth,Oren Patashnik
Publisher : Addison-Wesley Professional
Page : 811 pages
File Size : 49,9 Mb
Release : 1994-02-28
Category : Computers
ISBN : 9780134389981

Get Book

Concrete Mathematics by Ronald L. Graham,Donald E. Knuth,Oren Patashnik Pdf

This book introduces the mathematics that supports advanced computer programming and the analysis of algorithms. The primary aim of its well-known authors is to provide a solid and relevant base of mathematical skills - the skills needed to solve complex problems, to evaluate horrendous sums, and to discover subtle patterns in data. It is an indispensable text and reference not only for computer scientists - the authors themselves rely heavily on it! - but for serious users of mathematics in virtually every discipline. Concrete Mathematics is a blending of CONtinuous and disCRETE mathematics. "More concretely," the authors explain, "it is the controlled manipulation of mathematical formulas, using a collection of techniques for solving problems." The subject matter is primarily an expansion of the Mathematical Preliminaries section in Knuth's classic Art of Computer Programming, but the style of presentation is more leisurely, and individual topics are covered more deeply. Several new topics have been added, and the most significant ideas have been traced to their historical roots. The book includes more than 500 exercises, divided into six categories. Complete answers are provided for all exercises, except research problems, making the book particularly valuable for self-study. Major topics include: Sums Recurrences Integer functions Elementary number theory Binomial coefficients Generating functions Discrete probability Asymptotic methods This second edition includes important new material about mechanical summation. In response to the widespread use of the first edition as a reference book, the bibliography and index have also been expanded, and additional nontrivial improvements can be found on almost every page. Readers will appreciate the informal style of Concrete Mathematics. Particularly enjoyable are the marginal graffiti contributed by students who have taken courses based on this material. The authors want to convey not only the importance of the techniques presented, but some of the fun in learning and using them.

Author : Daniel Zingaro
Publisher : No Starch Press
Page : 409 pages
File Size : 51,6 Mb
Release : 2020-12-15
Category : Computers
ISBN : 9781718500815

Get Book

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?

Author : Steven S Skiena,Miguel A. Revilla
Publisher : Springer Science & Business Media
Page : 376 pages
File Size : 55,5 Mb
Release : 2006-04-18
Category : Computers
ISBN : 9780387220819

Get Book

Programming Challenges by Steven S Skiena,Miguel A. Revilla Pdf

There are many distinct pleasures associated with computer programming. Craftsmanship has its quiet rewards, the satisfaction that comes from building a useful object and making it work. Excitement arrives with the flash of insight that cracks a previously intractable problem. The spiritual quest for elegance can turn the hacker into an artist. There are pleasures in parsimony, in squeezing the last drop of performance out of clever algorithms and tight coding. The games, puzzles, and challenges of problems from international programming competitions are a great way to experience these pleasures while improving your algorithmic and coding skills. This book contains over 100 problems that have appeared in previous programming contests, along with discussions of the theory and ideas necessary to attack them. Instant online grading for all of these problems is available from two WWW robot judging sites. Combining this book with a judge gives an exciting new way to challenge and improve your programming skills. This book can be used for self-study, for teaching innovative courses in algorithms and programming, and in training for international competition. The problems in this book have been selected from over 1,000 programming problems at the Universidad de Valladolid online judge. The judge has ruled on well over one million submissions from 27,000 registered users around the world to date. We have taken only the best of the best, the most fun, exciting, and interesting problems available.

Author : Gayle Laakmann McDowell
Publisher : CreateSpace
Page : 0 pages
File Size : 42,9 Mb
Release : 2011
Category : Computer programmers
ISBN : 1466208686

Get Book

Cracking the Coding Interview by Gayle Laakmann McDowell Pdf

Now in the 5th edition, Cracking the Coding Interview gives you the interview preparation you need to get the top software developer jobs. This book provides: 150 Programming Interview Questions and Solutions: From binary trees to binary search, this list of 150 questions includes the most common and most useful questions in data structures, algorithms, and knowledge based questions. 5 Algorithm Approaches: Stop being blind-sided by tough algorithm questions, and learn these five approaches to tackle the trickiest problems. Behind the Scenes of the interview processes at Google, Amazon, Microsoft, Facebook, Yahoo, and Apple: Learn what really goes on during your interview day and how decisions get made. Ten Mistakes Candidates Make -- And How to Avoid Them: Don't lose your dream job by making these common mistakes. Learn what many candidates do wrong, and how to avoid these issues. Steps to Prepare for Behavioral and Technical Questions: Stop meandering through an endless set of questions, while missing some of the most important preparation techniques. Follow these steps to more thoroughly prepare in less time.

Author : Shi-kuo Chang
Publisher : World Scientific
Page : 360 pages
File Size : 42,6 Mb
Release : 2003-09-29
Category : Computers
ISBN : 9789814486156

Get Book

Data Structures And Algorithms by Shi-kuo Chang Pdf

This is an excellent, up-to-date and easy-to-use text on data structures and algorithms that is intended for undergraduates in computer science and information science. The thirteen chapters, written by an international group of experienced teachers, cover the fundamental concepts of algorithms and most of the important data structures as well as the concept of interface design. The book contains many examples and diagrams. Whenever appropriate, program codes are included to facilitate learning.This book is supported by an international group of authors who are experts on data structures and algorithms, through its website at www.cs.pitt.edu/~jung/GrowingBook/, so that both teachers and students can benefit from their expertise.

Author : Paul Orland
Publisher : Manning Publications
Page : 686 pages
File Size : 42,6 Mb
Release : 2021-01-12
Category : Computers
ISBN : 9781617295355

Get Book

Math for Programmers by Paul Orland Pdf

In Math for Programmers you’ll explore important mathematical concepts through hands-on coding. Filled with graphics and more than 300 exercises and mini-projects, this book unlocks the door to interesting–and lucrative!–careers in some of today’s hottest fields. As you tackle the basics of linear algebra, calculus, and machine learning, you’ll master the key Python libraries used to turn them into real-world software applications. Summary To score a job in data science, machine learning, computer graphics, and cryptography, you need to bring strong math skills to the party. Math for Programmers teaches the math you need for these hot careers, concentrating on what you need to know as a developer. Filled with lots of helpful graphics and more than 200 exercises and mini-projects, this book unlocks the door to interesting–and lucrative!–careers in some of today’s hottest programming fields. Purchase of the print book includes a free eBook in PDF, Kindle, and ePub formats from Manning Publications. About the technology Skip the mathematical jargon: This one-of-a-kind book uses Python to teach the math you need to build games, simulations, 3D graphics, and machine learning algorithms. Discover how algebra and calculus come alive when you see them in code! About the book In Math for Programmers you’ll explore important mathematical concepts through hands-on coding. Filled with graphics and more than 300 exercises and mini-projects, this book unlocks the door to interesting–and lucrative!–careers in some of today’s hottest fields. As you tackle the basics of linear algebra, calculus, and machine learning, you’ll master the key Python libraries used to turn them into real-world software applications. What's inside Vector geometry for computer graphics Matrices and linear transformations Core concepts from calculus Simulation and optimization Image and audio processing Machine learning algorithms for regression and classification About the reader For programmers with basic skills in algebra. About the author Paul Orland is a programmer, software entrepreneur, and math enthusiast. He is co-founder of Tachyus, a start-up building predictive analytics software for the energy industry. You can find him online at www.paulor.land. Table of Contents 1 Learning math with code PART I - VECTORS AND GRAPHICS 2 Drawing with 2D vectors 3 Ascending to the 3D world 4 Transforming vectors and graphics 5 Computing transformations with matrices 6 Generalizing to higher dimensions 7 Solving systems of linear equations PART 2 - CALCULUS AND PHYSICAL SIMULATION 8 Understanding rates of change 9 Simulating moving objects 10 Working with symbolic expressions 11 Simulating force fields 12 Optimizing a physical system 13 Analyzing sound waves with a Fourier series PART 3 - MACHINE LEARNING APPLICATIONS 14 Fitting functions to data 15 Classifying data with logistic regression 16 Training neural networks