New methods of solving algebraic equations:
The main problem of solving an algebraic equation which is of higher degree is that of factorizing the polynomial in a product of polynomial factors of Degrees 1 and 2. A class of linear factors can be found with the aid of a power table. When these evident real roots are eliminated, the residue pol...
Saved in:
| Format: | Book |
|---|---|
| Language: | English |
| Published: |
Hanscom Field, Mass.
Air Force Cambridge Research Laboratories
1963
|
| Series: | Research Report
AFCRL-63-560 |
| Subjects: | |
| Summary: | The main problem of solving an algebraic equation which is of higher degree is that of factorizing the polynomial in a product of polynomial factors of Degrees 1 and 2. A class of linear factors can be found with the aid of a power table. When these evident real roots are eliminated, the residue polynomial can be factorized in quadratic polynomial factors. A 'Table Method' is devised by which coefficient approximations can easily be found, and methods are shown for use when solving a quartic equation and when solving a sextic equation. (Author). |
| Physical Description: | IX, 43 S. |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV036116142 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | t | ||
| 008 | 100412s1963 |||| 00||| eng d | ||
| 035 | |a (OCoLC)227324189 | ||
| 035 | |a (DE-599)BVBBV036116142 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-37 |a DE-210 | ||
| 245 | 1 | 0 | |a New methods of solving algebraic equations |c Kurt H. Haase* |
| 264 | 1 | |a Hanscom Field, Mass. |b Air Force Cambridge Research Laboratories |c 1963 | |
| 300 | |a IX, 43 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Research Report |v AFCRL-63-560 | |
| 520 | 3 | |a The main problem of solving an algebraic equation which is of higher degree is that of factorizing the polynomial in a product of polynomial factors of Degrees 1 and 2. A class of linear factors can be found with the aid of a power table. When these evident real roots are eliminated, the residue polynomial can be factorized in quadratic polynomial factors. A 'Table Method' is devised by which coefficient approximations can easily be found, and methods are shown for use when solving a quartic equation and when solving a sextic equation. (Author). | |
| 650 | 4 | |a SUCCESSIVE APPROXIMATION | |
| 650 | 7 | |a (Equations |2 dtict | |
| 650 | 7 | |a Algebra |2 dtict | |
| 650 | 7 | |a Numerical analysis |2 dtict | |
| 650 | 7 | |a Polynomials) |2 dtict | |
| 700 | 1 | |a Haase, Kurt Harald |e Sonstige |0 (DE-588)125014805 |4 oth | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-019006249 | ||
Record in the Search Index
| _version_ | 1804141219384655872 |
|---|---|
| any_adam_object | |
| author_GND | (DE-588)125014805 |
| building | Verbundindex |
| bvnumber | BV036116142 |
| ctrlnum | (OCoLC)227324189 (DE-599)BVBBV036116142 |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01520nam a2200325 cb4500</leader><controlfield tag="001">BV036116142</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">100412s1963 |||| 00||| eng d</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)227324189</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV036116142</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-37</subfield><subfield code="a">DE-210</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">New methods of solving algebraic equations</subfield><subfield code="c">Kurt H. Haase*</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Hanscom Field, Mass.</subfield><subfield code="b">Air Force Cambridge Research Laboratories</subfield><subfield code="c">1963</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">IX, 43 S.</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">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Research Report</subfield><subfield code="v">AFCRL-63-560</subfield></datafield><datafield tag="520" ind1="3" ind2=" "><subfield code="a">The main problem of solving an algebraic equation which is of higher degree is that of factorizing the polynomial in a product of polynomial factors of Degrees 1 and 2. A class of linear factors can be found with the aid of a power table. When these evident real roots are eliminated, the residue polynomial can be factorized in quadratic polynomial factors. A 'Table Method' is devised by which coefficient approximations can easily be found, and methods are shown for use when solving a quartic equation and when solving a sextic equation. (Author).</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">SUCCESSIVE APPROXIMATION</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">(Equations</subfield><subfield code="2">dtict</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Algebra</subfield><subfield code="2">dtict</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Numerical analysis</subfield><subfield code="2">dtict</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Polynomials)</subfield><subfield code="2">dtict</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Haase, Kurt Harald</subfield><subfield code="e">Sonstige</subfield><subfield code="0">(DE-588)125014805</subfield><subfield code="4">oth</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-019006249</subfield></datafield></record></collection> |
| id | DE-604.BV036116142 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T22:12:24Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-019006249 |
| oclc_num | 227324189 |
| open_access_boolean | |
| owner | DE-37 DE-210 |
| owner_facet | DE-37 DE-210 |
| physical | IX, 43 S. |
| publishDate | 1963 |
| publishDateSearch | 1963 |
| publishDateSort | 1963 |
| publisher | Air Force Cambridge Research Laboratories |
| record_format | marc |
| series2 | Research Report |
| spelling | New methods of solving algebraic equations Kurt H. Haase* Hanscom Field, Mass. Air Force Cambridge Research Laboratories 1963 IX, 43 S. txt rdacontent n rdamedia nc rdacarrier Research Report AFCRL-63-560 The main problem of solving an algebraic equation which is of higher degree is that of factorizing the polynomial in a product of polynomial factors of Degrees 1 and 2. A class of linear factors can be found with the aid of a power table. When these evident real roots are eliminated, the residue polynomial can be factorized in quadratic polynomial factors. A 'Table Method' is devised by which coefficient approximations can easily be found, and methods are shown for use when solving a quartic equation and when solving a sextic equation. (Author). SUCCESSIVE APPROXIMATION (Equations dtict Algebra dtict Numerical analysis dtict Polynomials) dtict Haase, Kurt Harald Sonstige (DE-588)125014805 oth |
| spellingShingle | New methods of solving algebraic equations SUCCESSIVE APPROXIMATION (Equations dtict Algebra dtict Numerical analysis dtict Polynomials) dtict |
| title | New methods of solving algebraic equations |
| title_auth | New methods of solving algebraic equations |
| title_exact_search | New methods of solving algebraic equations |
| title_full | New methods of solving algebraic equations Kurt H. Haase* |
| title_fullStr | New methods of solving algebraic equations Kurt H. Haase* |
| title_full_unstemmed | New methods of solving algebraic equations Kurt H. Haase* |
| title_short | New methods of solving algebraic equations |
| title_sort | new methods of solving algebraic equations |
| topic | SUCCESSIVE APPROXIMATION (Equations dtict Algebra dtict Numerical analysis dtict Polynomials) dtict |
| topic_facet | SUCCESSIVE APPROXIMATION (Equations Algebra Numerical analysis Polynomials) |
| work_keys_str_mv | AT haasekurtharald newmethodsofsolvingalgebraicequations |