Universitext

The Pillars of Computation Theory

State, Encoding, Nondeterminism

Authors: Rosenberg, Arnold L.

  • Large selection of exercises
  • Presents a unique approach to computation theory
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eBook $44.99
price for USA (gross)
  • ISBN 978-0-387-09639-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.95
price for USA
  • ISBN 978-0-387-09638-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

Computation 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.

Reviews

From the reviews:

“Rosenberg (Colorado State) charts another path by teaching the major themes that underlie all of computer science. He identifies three themes, or pillars: ‘state,’ ‘encoding,’ and ‘nondeterminism.’ … This work is helpful for mathematically prepared undergraduates … . Summing Up: Recommended. Upper-division undergraduates, graduate students, researchers, and faculty.” (P. Cull, Choice, Vol. 47 (9), May, 2010)

“The author’s intentions are clear from the very beginning: he wants to change the way computation theory is taught to undergraduates. … The intended audience includes advanced undergraduates and beginning graduate students. … student whose interests run to theoretical computer science, this would be a challenging and attractive book. … For more typical students there are no exercises directly tied to the immediate text and few anywhere that are more routine ­­­­­­­­­­­­­–­­­ the kind of many students need to ground themselves in the subject.” (William J. Satzer, The Mathematical Association of America, March, 2010)

“This authoritative, tightly woven book is unsurpassed as the definitive computation theory text and reference … it has my highest recommendation.” (George Hacken, ACM Computing Reviews, August, 2010)


Table of contents (13 chapters)

  • Introduction

    Rosenberg, Arnold L.

    Pages 3-12

  • Mathematical Preliminaries

    Rosenberg, Arnold L.

    Pages 13-29

  • Online Automata: Exemplars of “State”

    Rosenberg, Arnold L.

    Pages 33-50

  • Finite Automata and Regular Languages

    Rosenberg, Arnold L.

    Pages 51-62

  • Applications of the Myhill–Nerode Theorem

    Rosenberg, Arnold L.

    Pages 63-90

Buy this book

eBook $44.99
price for USA (gross)
  • ISBN 978-0-387-09639-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.95
price for USA
  • ISBN 978-0-387-09638-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
The Pillars of Computation Theory
Book Subtitle
State, Encoding, Nondeterminism
Authors
Series Title
Universitext
Copyright
2010
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-0-387-09639-1
DOI
10.1007/978-0-387-09639-1
Softcover ISBN
978-0-387-09638-4
Series ISSN
0172-5939
Edition Number
1
Number of Pages
XVIII, 326
Number of Illustrations and Tables
49 b/w illustrations
Topics