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| 2 | +<head> |
| 3 | +<title>Foundations Of Computation</title> |
| 4 | +</head> |
| 5 | +<body bgcolor="#FFEEBB"> |
| 6 | + |
| 7 | +<hr> |
| 8 | +<h1 align=center>Foundations of Computation</h1> |
| 9 | +<hr> |
| 10 | + |
| 11 | +<table border=0 cellpadding=15> |
| 12 | +<tr><td valign=top> |
| 13 | +<img src="FoundationsOfComputation_small_cover.png" width="200" |
| 14 | + height="306" align=right alt=""> |
| 15 | +</td> |
| 16 | +<td valign=top> |
| 17 | +<p><i><a href="FoundationsOfComputation_2.3.2_6x9.pdf"><big>F</big>oundations of Computation</a></i> is a <b>free</b> textbook for a one-semester |
| 18 | +course in theoretical computer science. It has been used for several years |
| 19 | +in a course at Hobart and William Smith Colleges. The course has no |
| 20 | +prerequisites other than introductory computer programming. The first half |
| 21 | +of the course covers material on logic, sets, and functions that would often |
| 22 | +be taught in a course in discrete mathematics. The second part covers |
| 23 | +material on automata, formal languages, and grammar that would ordinarily |
| 24 | +be encountered in an upper level course in theoretical computer science. |
| 25 | +</p> |
| 26 | +<p>Version 2.3 (Summer 2010) added a section on pushdown automata; |
| 27 | +aside from that, there were only minor corrections and changes. |
| 28 | +The most recent version, 2.3.1 (Summer 2011), is a very minor update, |
| 29 | +with one new proof and a few corrections. In December 2016, the license under |
| 30 | +which the book is released was changed; the version number was changed to 2.3.2, |
| 31 | +but 2.3.2 is identical to 2.3.1 except for the new license. In June 2020, new versions |
| 32 | +of the PDF files were posted, with internal links, and a link was added to the |
| 33 | +version at LibreTexts. |
| 34 | +</p> |
| 35 | + |
| 36 | +<p><b>Table of Contents:</b></p> |
| 37 | +<ul> |
| 38 | +<li>Chapter 1: Logic and Proof |
| 39 | +<li>Chapter 2: Sets, Functions, and Relations |
| 40 | +<li>Chapter 3: Regular Expressions and FSA's |
| 41 | +<li>Chapter 4: Grammars |
| 42 | +<li>Chapter 5: Turing Machines and Computability |
| 43 | +</ul> |
| 44 | +<p><i>Foundations Of Computation</i> is available in two free |
| 45 | +PDF versions, with different page sizes. See the links at the bottom |
| 46 | +of this page to access the PDFs. |
| 47 | +A <b>printed version</b> can be ordered from <a href="https://www.lulu.com/shop/carol-critchlow-and-david-eck/foundations-of-computation/paperback/product-1m4znw8.html?q=David+Eck&page=1&pageSize=4">lulu.com</a> |
| 48 | +for the cost of reproduction plus shipping. Readers are also welcome to print out |
| 49 | +the PDF themselves. The book can be freely redistributed in unmodified form for |
| 50 | +non-commercial purposes. This applies to the entire book, as well as to parts of |
| 51 | +the book, provided that proper attribution to the authors is given. |
| 52 | +</p> |
| 53 | +<p align=center><b><small>This work is licensed under a<br> |
| 54 | +<a rel="license" href="http://creativecommons.org/licenses/by-nc-sa/4.0/">Creative |
| 55 | +Commons Attribution-Noncommercial-ShareAlike 4.0 License</a>.</small></b></p> |
| 56 | +<p>(The image on the left is the cover of the print version of the book. |
| 57 | +The background image is a visualization of a small piece of the famous |
| 58 | +<a href="http://math.hws.edu/eck/js/mandelbrot/MB.html">Mandelbrot set</a>, |
| 59 | +which has nothing to do with the content of the book — |
| 60 | +except for the fact that the Mandelbrot set is an example of a complicated |
| 61 | +and beautiful structure produced by very simple computational means. The |
| 62 | +region of the xy-plane that is shown on the cover is approximately |
| 63 | +0.35471950 < x < 0.35473217 and |
| 64 | +0.09540064 < y < 0.09542001). |
| 65 | +</p> |
| 66 | +<hr> |
| 67 | +<p><b>The Authors:</b></p> |
| 68 | +<p align=center> |
| 69 | +<big>Carol Critchlow ( [email protected]) </big><br> |
| 70 | +<big>David Eck ( [email protected], <a href=" http://math.hws.edu/eck/" >math.hws.edu/eck </a>) </big><br> |
| 71 | +Department of Mathematics and Computer Science<br> |
| 72 | +Hobart and William Smith Colleges<br> |
| 73 | +300 Pulteney Street<br> |
| 74 | +Geneva, NY 14456 |
| 75 | +</p> |
| 76 | +<hr> |
| 77 | +<p><b><a name="PDF">Click here for the PDF versions:</a></b></p> |
| 78 | +<table border=1 align=center cellpadding=3 bgcolor=white><tr><td> |
| 79 | +<p align=center><small>A <b>6-by-9 inch</b> version, which might<br> |
| 80 | +be better for viewing on screen:</small> |
| 81 | +<h3 align=center> <a href="FoundationsOfComputation_2.3.2_6x9.pdf">Foundations Of Computation, Version 2.3.2 (Summer 2011), 6x9</a> </h3> |
| 82 | +<h4 align=center>(256 pages, 1.9 megabytes)</h4> |
| 83 | +</td></tr></table><br> |
| 84 | +<table border=1 align=center cellpadding=3 bgcolor=white><tr><td> |
| 85 | +<p align=center><small>An <b>8.5-by-11 inch</b> version, which might<br> |
| 86 | +be better for printing:</small> |
| 87 | +<h3 align=center><a href="FoundationsOfComputation_2.3.2_8.5x11.pdf">Foundations Of Computation, Version 2.3.2 (Summer 2011), 8.5x11</a></h3> |
| 88 | +<h4 align=center>(223 pages, 1.9 megabytes)</h4> |
| 89 | +</td></tr></table> |
| 90 | +<hr> |
| 91 | +<p>An <a href="https://eng.libretexts.org/Bookshelves/Computer_Science/Book%3A_Foundations_of_Computation_(Critchlow_and_Eck)">HTML version of the book</a> |
| 92 | +(which was not prepared by the authors) can be found at <a href="https://eng.libretexts.org/">LibreTexts</a>.</p> |
| 93 | +<p><b>A Zip archive of the full source code is alsp available through the following link</b> The source is written for the LaTeX |
| 94 | +typesetting program, with figures created by several different programs. The source was not designed |
| 95 | +for publication and will be useful only to a very small audience. It is provided as-is for people |
| 96 | +interested in making modified versions of the book. Note that any modified version that is distributed |
| 97 | +beyond its maker must be released under the same Creative Commons, Non-commercial, Share-alike license |
| 98 | +as the original.</p> |
| 99 | +<p align=center><a href="http://math.hws.edu/FoundationsOfComputation/FoundationsOfComputation-source.zip">http://math.hws.edu/FoundationsOfComputation/FoundationsOfComputation-source.zip</a> (4 MB)</p> |
| 100 | +</td> |
| 101 | +</table> |
| 102 | +</body> |
| 103 | +</html> |
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