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020 _a9783031100550
024 7 _a10.1007/978-3-031-10055-0
_2doi
040 _aES-MaUEC
_bspa
_cES-MaUEC
100 1 _aRosenberg, Arnold L
_eautor
_0(orcid)0000-0002-1171-9323
_1https://orcid.org/0000-0002-1171-9323
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aUnderstanding Computation
_bPillars, Paradigms, Principles
_cby Arnold L Rosenberg, Lenwood S Heath
250 _a1st edition 2022
264 1 _aCham
_bSpringer International Publishing
_c2022
300 _a1 recurso en línea (XVII, 570 páginas)
_b87 illus
336 _atexto
_btxt
_2rdacontent
337 _aelectrónico
_bc
_2rdamedia
338 _arecurso electrónico
_bcr
_2rdacarrier
347 _aarchivo de texto
_bPDF
490 0 _aTexts in Computer Science
_x1868-095X
505 0 _aPreface -- 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 Selected Exercises, by Chapter -- List of ACRONYMS and SYMBOLS -- References -- Index.
520 _aComputation 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. .
700 1 _aHeath, Lenwood S
_eautor
_0(orcid)0000-0003-1608-431X
_1https://orcid.org/0000-0003-1608-431X
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
776 0 8 _iPrinted edition:
_z9783031100543
776 0 8 _iPrinted edition:
_z9783031100567
776 0 8 _iPrinted edition:
_z9783031100574
856 4 0 _uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-3-031-10055-0
_zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
942 _2lcc
_cLE
988 _aSpringer_Computer_2022
999 _c394892
_d394892