A Beginner’s Guide to Discrete Mathematics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
2003
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This introduction to discrete mathematics is aimed primarily at undergraduates in mathematics and computer science at the freshmen and sophomore levels. The text has a distinctly applied orientation and begins with a survey of number systems and elementary set theory. Included are discussions of scientific notation and the representation of numbers in computers. An introduction to set theory includes mathematical induction, and leads into a discussion of Boolean algebras and circuits. Relations and functions are defined. An introduction to counting, including the Binomial Theorem, is used in studying the basics of probability theory. Graph study is discussed, including Euler and Hamilton cycles and trees. This is a vehicle for some easy proofs, as well as serving as another example of a data structure. Matrices and vectors are then defined. The book concludes with an introduction to cryptography, including the RSA cryptosystem, together with the necessary elementary number theory, such as the Euclidean algorithm. Good examples occur throughout, and most worked examples are followed by easy practice problems for which full solutions are provided. At the end of every section there is a problem set, with solutions to odd-numbered exercises. There is a full index. A math course at the college level is the required background for this text; college algebra would be the most helpful. However, students with greater mathematical preparation will benefit from some of the more challenging sections |
| Beschreibung: | 1 Online-Ressource (XIII, 367 p) |
| ISBN: | 9781475738261 9780817642693 |
| DOI: | 10.1007/978-1-4757-3826-1 |
Internformat
MARC
| LEADER | 00000nmm a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV042421529 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 150317s2003 |||| o||u| ||||||eng d | ||
| 020 | |a 9781475738261 |c Online |9 978-1-4757-3826-1 | ||
| 020 | |a 9780817642693 |c Print |9 978-0-8176-4269-3 | ||
| 024 | 7 | |a 10.1007/978-1-4757-3826-1 |2 doi | |
| 035 | |a (OCoLC)863937000 | ||
| 035 | |a (DE-599)BVBBV042421529 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-384 |a DE-703 |a DE-91 |a DE-634 | ||
| 082 | 0 | |a 511.3 |2 23 | |
| 084 | |a MAT 000 |2 stub | ||
| 100 | 1 | |a Wallis, W. D. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a A Beginner’s Guide to Discrete Mathematics |c by W. D. Wallis |
| 264 | 1 | |a Boston, MA |b Birkhäuser Boston |c 2003 | |
| 300 | |a 1 Online-Ressource (XIII, 367 p) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 500 | |a This introduction to discrete mathematics is aimed primarily at undergraduates in mathematics and computer science at the freshmen and sophomore levels. The text has a distinctly applied orientation and begins with a survey of number systems and elementary set theory. Included are discussions of scientific notation and the representation of numbers in computers. An introduction to set theory includes mathematical induction, and leads into a discussion of Boolean algebras and circuits. Relations and functions are defined. An introduction to counting, including the Binomial Theorem, is used in studying the basics of probability theory. Graph study is discussed, including Euler and Hamilton cycles and trees. This is a vehicle for some easy proofs, as well as serving as another example of a data structure. Matrices and vectors are then defined. The book concludes with an introduction to cryptography, including the RSA cryptosystem, together with the necessary elementary number theory, such as the Euclidean algorithm. Good examples occur throughout, and most worked examples are followed by easy practice problems for which full solutions are provided. At the end of every section there is a problem set, with solutions to odd-numbered exercises. There is a full index. A math course at the college level is the required background for this text; college algebra would be the most helpful. However, students with greater mathematical preparation will benefit from some of the more challenging sections | ||
| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Computational complexity | |
| 650 | 4 | |a Combinatorics | |
| 650 | 4 | |a Logic, Symbolic and mathematical | |
| 650 | 4 | |a Mathematical statistics | |
| 650 | 4 | |a Mathematical Logic and Foundations | |
| 650 | 4 | |a Discrete Mathematics in Computer Science | |
| 650 | 4 | |a Statistical Theory and Methods | |
| 650 | 4 | |a Mathematik | |
| 650 | 0 | 7 | |a Diskrete Mathematik |0 (DE-588)4129143-8 |2 gnd |9 rswk-swf |
| 655 | 7 | |8 1\p |0 (DE-588)4123623-3 |a Lehrbuch |2 gnd-content | |
| 689 | 0 | 0 | |a Diskrete Mathematik |0 (DE-588)4129143-8 |D s |
| 689 | 0 | |8 2\p |5 DE-604 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-1-4757-3826-1 |x Verlag |3 Volltext |
| 912 | |a ZDB-2-SMA |a ZDB-2-BAE | ||
| 940 | 1 | |q ZDB-2-SMA_Archive | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-027856946 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 883 | 1 | |8 2\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Datensatz im Suchindex
| _version_ | 1804153094696599552 |
|---|---|
| any_adam_object | |
| author | Wallis, W. D. |
| author_facet | Wallis, W. D. |
| author_role | aut |
| author_sort | Wallis, W. D. |
| author_variant | w d w wd wdw |
| building | Verbundindex |
| bvnumber | BV042421529 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)863937000 (DE-599)BVBBV042421529 |
| dewey-full | 511.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.3 |
| dewey-search | 511.3 |
| dewey-sort | 3511.3 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4757-3826-1 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03376nmm a2200529zc 4500</leader><controlfield tag="001">BV042421529</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150317s2003 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781475738261</subfield><subfield code="c">Online</subfield><subfield code="9">978-1-4757-3826-1</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780817642693</subfield><subfield code="c">Print</subfield><subfield code="9">978-0-8176-4269-3</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-1-4757-3826-1</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)863937000</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042421529</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-634</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">511.3</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 000</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Wallis, W. D.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">A Beginner’s Guide to Discrete Mathematics</subfield><subfield code="c">by W. D. Wallis</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Boston, MA</subfield><subfield code="b">Birkhäuser Boston</subfield><subfield code="c">2003</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (XIII, 367 p)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">This introduction to discrete mathematics is aimed primarily at undergraduates in mathematics and computer science at the freshmen and sophomore levels. The text has a distinctly applied orientation and begins with a survey of number systems and elementary set theory. Included are discussions of scientific notation and the representation of numbers in computers. An introduction to set theory includes mathematical induction, and leads into a discussion of Boolean algebras and circuits. Relations and functions are defined. An introduction to counting, including the Binomial Theorem, is used in studying the basics of probability theory. Graph study is discussed, including Euler and Hamilton cycles and trees. This is a vehicle for some easy proofs, as well as serving as another example of a data structure. Matrices and vectors are then defined. The book concludes with an introduction to cryptography, including the RSA cryptosystem, together with the necessary elementary number theory, such as the Euclidean algorithm. Good examples occur throughout, and most worked examples are followed by easy practice problems for which full solutions are provided. At the end of every section there is a problem set, with solutions to odd-numbered exercises. There is a full index. A math course at the college level is the required background for this text; college algebra would be the most helpful. However, students with greater mathematical preparation will benefit from some of the more challenging sections</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Computational complexity</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Combinatorics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Logic, Symbolic and mathematical</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematical statistics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematical Logic and Foundations</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Discrete Mathematics in Computer Science</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Statistical Theory and Methods</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Diskrete Mathematik</subfield><subfield code="0">(DE-588)4129143-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="8">1\p</subfield><subfield code="0">(DE-588)4123623-3</subfield><subfield code="a">Lehrbuch</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Diskrete Mathematik</subfield><subfield code="0">(DE-588)4129143-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">2\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-1-4757-3826-1</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-SMA</subfield><subfield code="a">ZDB-2-BAE</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">ZDB-2-SMA_Archive</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027856946</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection> |
| genre | 1\p (DE-588)4123623-3 Lehrbuch gnd-content |
| genre_facet | Lehrbuch |
| id | DE-604.BV042421529 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:09Z |
| institution | BVB |
| isbn | 9781475738261 9780817642693 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027856946 |
| oclc_num | 863937000 |
| open_access_boolean | |
| owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (XIII, 367 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Birkhäuser Boston |
| record_format | marc |
| spelling | Wallis, W. D. Verfasser aut A Beginner’s Guide to Discrete Mathematics by W. D. Wallis Boston, MA Birkhäuser Boston 2003 1 Online-Ressource (XIII, 367 p) txt rdacontent c rdamedia cr rdacarrier This introduction to discrete mathematics is aimed primarily at undergraduates in mathematics and computer science at the freshmen and sophomore levels. The text has a distinctly applied orientation and begins with a survey of number systems and elementary set theory. Included are discussions of scientific notation and the representation of numbers in computers. An introduction to set theory includes mathematical induction, and leads into a discussion of Boolean algebras and circuits. Relations and functions are defined. An introduction to counting, including the Binomial Theorem, is used in studying the basics of probability theory. Graph study is discussed, including Euler and Hamilton cycles and trees. This is a vehicle for some easy proofs, as well as serving as another example of a data structure. Matrices and vectors are then defined. The book concludes with an introduction to cryptography, including the RSA cryptosystem, together with the necessary elementary number theory, such as the Euclidean algorithm. Good examples occur throughout, and most worked examples are followed by easy practice problems for which full solutions are provided. At the end of every section there is a problem set, with solutions to odd-numbered exercises. There is a full index. A math course at the college level is the required background for this text; college algebra would be the most helpful. However, students with greater mathematical preparation will benefit from some of the more challenging sections Mathematics Computational complexity Combinatorics Logic, Symbolic and mathematical Mathematical statistics Mathematical Logic and Foundations Discrete Mathematics in Computer Science Statistical Theory and Methods Mathematik Diskrete Mathematik (DE-588)4129143-8 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Diskrete Mathematik (DE-588)4129143-8 s 2\p DE-604 https://doi.org/10.1007/978-1-4757-3826-1 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Wallis, W. D. A Beginner’s Guide to Discrete Mathematics Mathematics Computational complexity Combinatorics Logic, Symbolic and mathematical Mathematical statistics Mathematical Logic and Foundations Discrete Mathematics in Computer Science Statistical Theory and Methods Mathematik Diskrete Mathematik (DE-588)4129143-8 gnd |
| subject_GND | (DE-588)4129143-8 (DE-588)4123623-3 |
| title | A Beginner’s Guide to Discrete Mathematics |
| title_auth | A Beginner’s Guide to Discrete Mathematics |
| title_exact_search | A Beginner’s Guide to Discrete Mathematics |
| title_full | A Beginner’s Guide to Discrete Mathematics by W. D. Wallis |
| title_fullStr | A Beginner’s Guide to Discrete Mathematics by W. D. Wallis |
| title_full_unstemmed | A Beginner’s Guide to Discrete Mathematics by W. D. Wallis |
| title_short | A Beginner’s Guide to Discrete Mathematics |
| title_sort | a beginner s guide to discrete mathematics |
| topic | Mathematics Computational complexity Combinatorics Logic, Symbolic and mathematical Mathematical statistics Mathematical Logic and Foundations Discrete Mathematics in Computer Science Statistical Theory and Methods Mathematik Diskrete Mathematik (DE-588)4129143-8 gnd |
| topic_facet | Mathematics Computational complexity Combinatorics Logic, Symbolic and mathematical Mathematical statistics Mathematical Logic and Foundations Discrete Mathematics in Computer Science Statistical Theory and Methods Mathematik Diskrete Mathematik Lehrbuch |
| url | https://doi.org/10.1007/978-1-4757-3826-1 |
| work_keys_str_mv | AT walliswd abeginnersguidetodiscretemathematics |