Algorithms and Data Structures: Foundations and Probabilistic Methods for Design and Analysis

ISBN-13: 9783030597603 / Angielski / Miękka / 2021 / 364 str.

Helmut Knebl

Opis

This is a central topic in any computer science curriculum. To distinguish this textbook from others, the author considers probabilistic methods as being fundamental for the construction of simple and efficient algorithms, and in each chapter at least one problem is solved using a randomized algorithm. Data structures are discussed to the extent needed for the implementation of the algorithms. The specific algorithms examined were chosen because of their wide field of application.

This book originates from lectures for undergraduate and graduate students. The text assumes experience in programming algorithms, especially with elementary data structures such as chained lists, queues, and stacks. It also assumes familiarity with mathematical methods, although the author summarizes some basic notations and results from probability theory and related mathematical terminology in the appendices. He includes many examples to explain the individual steps of the algorithms, and he concludes each chapter with numerous exercises.

Spis treści

Introduction.- Sorting and Searching.- Hashing.- Trees.- Graphs.- Weighted Graphs.- App. A, Probabilities.- App. B, Mathematical Terminology and Useful Formulas.- References.- Symbols.- Index.

O autorze

Prof. Dr. Helmut Knebl is a researcher and lecturer in the Faculty of Informatics of the Technische Hochschule Nürnberg Georg Simon Ohm, where he has taught courses on the topic of this book to students of computer science, media, and business informatics at bachelor's and master's levels. He is the coauthor of the successful textbook Introduction to Cryptography, now in its 3rd edition.