000 03493nam a22004455i 4500
001 u370174
003 SIRSI
005 20160812080018.0
007 cr nn 008mamaa
008 100301s2010 xxu| s |||| 0|eng d
020 _a9780387096391
_9978-0-387-09639-1
040 _cMX-MeUAM
050 4 _aQA71-90
082 0 4 _a518
_223
082 0 4 _a518
_223
100 1 _aRosenberg, Arnold L.
_eauthor.
245 1 4 _aThe Pillars of Computation Theory
_h[recurso electrónico] :
_bState, Encoding, Nondeterminism /
_cby Arnold L. Rosenberg.
250 _aFirst.
264 1 _aNew York, NY :
_bSpringer New York,
_c2010.
300 _aXVIII, 326p. 49 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aUniversitext
505 0 _aPROLEGOMENA -- Mathematical Preliminaries -- STATE -- Online Automata: Exemplars of “State” -- Finite Automata and Regular Languages -- Applications of the Myhill–Nerode Theorem -- Enrichment Topics -- ENCODING -- Countability and Uncountability: The Precursors of “Encoding” -- Enrichment Topic: “Efficient” Pairing Functions, with Applications -- Computability Theory -- NONDETERMINISM -- Nondeterministic Online Automata -- Nondeterministic FAs -- Nondeterminism in Computability Theory -- Complexity Theory.
520 _aComputation theory is a discipline that strives to use mathematical tools and concepts in order to expose the nature of the activity that we call “computation” and to explain a broad range of observed 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? Even more basically: how does one reason about such questions? This book strives to endow upper-level undergraduate students and lower-level graduate students with the conceptual and manipulative tools necessary to make Computation theory part of their professional lives. The author tries to achieve this goal via three stratagems that set this book apart from most other texts on the subject. (1) The author develops the necessary mathematical concepts and tools from their simplest instances, so that the student has the opportunity to gain operational control over the necessary mathematics. (2) He organizes the development of the theory around the three “pillars” that give the book its name, so that the student sees computational topics that have the same intellectual origins developed in physical proximity to one another. (3) He strives to illustrate the “big ideas” that computation theory is built upon with applications of these ideas within “practical” domains that the students have seen elsewhere in their courses, in mathematics, in computer science, and in computer engineering.
650 0 _aMathematics.
650 0 _aComputer science
_xMathematics.
650 1 4 _aMathematics.
650 2 4 _aComputational Mathematics and Numerical Analysis.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780387096384
830 0 _aUniversitext
856 4 0 _zLibro electrónico
_uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-0-387-09639-1
596 _a19
942 _cLIBRO_ELEC
999 _c198054
_d198054