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020 _a9783031100550
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024 7 _a10.1007/978-3-031-10055-0
_2doi
050 4 _aQA75.5-76.95
072 7 _aUYA
_2bicssc
072 7 _aCOM014000
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082 0 4 _a004.0151
_223
100 1 _aRosenberg, Arnold L.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aUnderstanding Computation
_h[electronic resource] :
_bPillars, Paradigms, Principles /
_cby Arnold L. Rosenberg, Lenwood S. Heath.
250 _a1st ed. 2022.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2022.
300 _aXVII, 570 p. 87 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _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 SelectedExercises, 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 tosee 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. .
650 0 _aComputer science.
650 1 4 _aTheory of Computation.
700 1 _aHeath, Lenwood S.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031100543
776 0 8 _iPrinted edition:
_z9783031100567
776 0 8 _iPrinted edition:
_z9783031100574
830 0 _aTexts in Computer Science,
_x1868-095X
856 4 0 _uhttps://doi.org/10.1007/978-3-031-10055-0
912 _aZDB-2-SCS
912 _aZDB-2-SXCS
942 _cSPRINGER
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