About this product

Product Identifiers

PublisherSpringer International Publishing A&G

ISBN-103031100573

ISBN-139783031100574

eBay Product ID (ePID)16061936729

Product Key Features

Number of PagesXvii, 570 Pages

Publication NameUnderstanding Computation : Pillars, Paradigms, Principles

LanguageEnglish

Publication Year2023

SubjectComputer Science, General

TypeTextbook

AuthorArnold L. Rosenberg, Lenwood S. Heath

Subject AreaMathematics, Computers

SeriesTexts in Computer Science Ser.

FormatTrade Paperback

Dimensions

Item Weight31.4 Oz

Item Length9.3 in

Item Width6.1 in

Additional Product Features

Dewey Edition23

Number of Volumes1 vol.

IllustratedYes

Dewey Decimal511

Table Of ContentPreface.- I: Introduction.- 1 Introducing Computation Theory.- 2 Introducing the Book.- II: Pillar S: STATE.- 3 Pure State-Based Computational Models.- 4 The Myhill-Nerode Theorem: Implications and Applications.- 5 Online Turing Machines and the Implications of Online Computing.- 6 Pumping: Computational Pigeonholes in Finitary Systems.- 7 Mobility in Computing: An FA Navigates a Mesh.- 8 The Power of Cooperation: Teams of MFAs on a Mesh.- III: Pillar E: ENCODING.- 9 Countability and Uncountability: The Precursors of ENCODING .- 10 Computability Theory.- 11 A Church-Turing Zoo of Computational Models.- 12 Pairing Functions as Encoding Mechanisms.- IV: Pillar N: NONDETERMINISM.- 13 Nondeterminism as Unbounded Parallelism.- 14 Nondeterministic Finite Automata.- 15 Nondeterminism as Unbounded Search.- 16 Complexity Theory.- V: Pillar P: PRESENTATION/SPECIFICATION.- 17 The Elements of Formal Language Theory.- A A Chapter-Long Text on Discrete Mathematics.- B SelectedExercises, by Chapter.- List of ACRONYMS and SYMBOLS.- References.- Index.

SynopsisComputation theory is a discipline that uses mathematical concepts and tools to expose the nature of "computation" and to explain a broad range of computational phenomena: Why is it harder to perform some computations than others? Are the differences in difficulty that we observe inherent, or are they artifacts of the way we try to perform the computations? How does one reason about such questions? This unique textbook strives to endow students with conceptual and manipulative tools necessary to make computation theory part of their professional lives. The work achieves this goal by means of three stratagems that set its approach apart from most other texts on the subject. For starters, it develops the necessary mathematical concepts and tools from the concepts' simplest instances, thereby helping students gain operational control over the required mathematics. Secondly, it organizes development of theory around four "pillars," enabling students to see computational topics that have the same intellectual origins in physical proximity to one another. Finally, the text illustrates the "big ideas" that computation theory is built upon with applications of these ideas within "practical" domains in mathematics, computer science, computer engineering, and even further afield. Suitable for advanced undergraduate students and beginning graduates, this textbook augments the "classical" models that traditionally support courses on computation theory with novel models inspired by "real, modern" computational topics,such as crowd-sourced computing, mobile computing, robotic path planning, and volunteer computing. Arnold L. Rosenberg is Distinguished Univ. Professor Emeritus at University of Massachusetts, Amherst, USA. Lenwood S. Heath is Professor at Virgina Tech, Blacksburg, USA., Computation theory is a discipline that uses mathematical concepts and tools to expose the nature of "computation" and to explain a broad range of computational phenomena: Why is it harder to perform some computations than others? Are the differences in difficulty that we observe inherent, or are they artifacts of the way we try to perform the computations? How does one reason about such questions? This unique textbook strives to endow students with conceptual and manipulative tools necessary to make computation theory part of their professional lives. The work achieves this goal by means of three stratagems that set its approach apart from most other texts on the subject. For starters, it develops the necessary mathematical concepts and tools from the concepts' simplest instances, thereby helping students gain operational control over the required mathematics. Secondly, it organizes development of theory around four "pillars," enabling students to see computational topics that have the same intellectual origins in physical proximity to one another. Finally, the text illustrates the "big ideas" that computation theory is built upon with applications of these ideas within "practical" domains in mathematics, computer science, computer engineering, and even further afield. Suitable for advanced undergraduate students and beginning graduates, this textbook augments the "classical" models that traditionally support courses on computation theory with novel models inspired by "real, modern" computational topics, such as crowd-sourced computing, mobile computing, robotic path planning, and volunteer computing. Arnold L. Rosenberg is Distinguished Univ. Professor Emeritus at University of Massachusetts, Amherst, USA. Lenwood S. Heath is Professor at Virgina Tech, Blacksburg, USA.

LC Classification NumberQA75.5-76.95