000 -LEADER |
fixed length control field |
03715cam a2200397 a 4500 |
001 - CONTROL NUMBER |
control field |
12754456 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
CITU |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20240507175338.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
020425s2003 maua b 001 0 eng |
010 ## - LIBRARY OF CONGRESS CONTROL NUMBER |
LC control number |
2002070890 |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
0072424346 (acidfree paper) |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9780072424348 |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9780071237307 |
040 ## - CATALOGING SOURCE |
Original cataloging agency |
CITU LRAC |
Transcribing agency |
DLC |
Modifying agency |
DLC |
Language of cataloging |
eng |
041 ## - LANGUAGE CODE |
Language code of text/sound track or separate title |
eng |
050 00 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA39.3 |
Item number |
.R67 2003 |
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
511 |
Edition number |
21 |
100 1# - MAIN ENTRY--PERSONAL NAME |
Preferred name for the person |
Rosen, Kenneth H. |
Relator term |
author |
245 10 - TITLE STATEMENT |
Title |
Discrete mathematics and its applications / |
Statement of responsibility, etc |
Kenneth H. Rosen. |
250 ## - EDITION STATEMENT |
Edition statement |
Fifth edition |
264 #1 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
Place of publication, distribution, etc |
Boston : |
Name of publisher, distributor, etc |
McGraw-Hill, |
Date of publication, distribution, etc |
c2003. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
xxi, 787, 9, 8, 83, 1, 18 pages : |
Other physical details |
illustrations (some color.) ; |
Dimensions |
26 cm. |
336 ## - CONTENT TYPE |
Source |
rdacontent |
Content type term |
text |
Content type code |
txt |
337 ## - MEDIA TYPE |
Source |
rdamedia |
Media type term |
unmediated |
Media type code |
n |
338 ## - CARRIER TYPE |
Source |
rdacarrier |
Carrier type term |
volume |
Carrier type code |
nc |
504 ## - BIBLIOGRAPHY, ETC. NOTE |
Bibliography, etc |
Includes bibliographic references (p. 1-8, 4th set) and indexes. |
505 ## - CONTENTS |
Formatted contents note |
The foundations: logic and proof, sets, and functions : Logic ; Propositional equivalences ; Predicates and quantifiers ; Nested quantifiers ; Methods of proof ; Sets ; Set operations ; Functions --<br/>The fundamentals: algorithms, the integers, and matrices : Algorithms ; The growth of functions ; Complexity of algorithms ; The integers and division ; Applications of number theory ; Matrices --<br/>Mathematical reasoning, induction, and recursion : Proof strategy ; Sequences and summations ; Mathematical induction ; Recursive definitions and structural induction ; Recursive algorithms ; Program correctness --<br/>Counting : The basics of counting ; The pigeonhole principle ; Permutations and combinations ; Binomial coefficients ; Generalized permutations and combinations ; Generating permutations and combinations --<br/>Discrete probability : An introduction to discrete probability ; Probability theory ; Expected value and variance --<br/>Advanced counting techniques : Recurrence relations ; Solving recurrence relations ; Divide-and-conquer algorithms and recurrence relations ; Generating functions ; Inclusion-exclusion ; Applications of inclusion-exclusion --<br/>Relations : Relations and their properties ; n-ary relations and their applications ; Representing relations ; Closures of relations ; Equivalence relations ; Partial orderings --<br/>Graphs : Introduction to graphs ; Graph terminology ; Representing graphs and graph isomorphism ; Connectivity ; Euler and Hamilton paths ; Shortest-path problems ; Planar graphs ; Graph coloring --<br/>Trees : introduction to trees ; Applications of trees ; Tree traversal ; Spanning trees ; Minimum spanning trees --<br/>Boolean algebra : Boolean functions ; Representing Boolean functions ; Logic gates ; Minimization of circuits --<br/>Modeling computation : Languages and grammars ; Finite-state machines with output ; Finite-state machines with no output ; Language recognition ; Turing machines --<br/>Appendixes : A.1. Exponential and logarithmic functions ; A.2. Pseudocode. |
520 ## - SUMMARY, ETC. |
Summary, etc |
[This text] is appropriate for a one- or two-term introductory discrete mathematics course to be taken by students in a wide variety of majors, including computer science, mathematics, and engineering. College Algebra is the only explicit prerequisite.-Pref. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Mathematics. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Computer science |
General subdivision |
Mathematics. |
856 41 - ELECTRONIC LOCATION AND ACCESS |
Materials specified |
Table of contents |
Uniform Resource Identifier |
http://www.loc.gov/catdir/toc/mh031/2002070890.html |
856 42 - ELECTRONIC LOCATION AND ACCESS |
Materials specified |
Publisher description |
Uniform Resource Identifier |
http://www.loc.gov/catdir/description/mh024/2002070890.html |
906 ## - LOCAL DATA ELEMENT F, LDF (RLIN) |
a |
7 |
b |
cbc |
c |
orignew |
d |
1 |
e |
ocip |
f |
20 |
g |
y-gencatlg |
942 ## - ADDED ENTRY ELEMENTS |
Source of classification or shelving scheme |
|
Item type |
BOOK |
Issues (borrowed), all copies |
2 |