Elements of algebra:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York
Chelsea Publ. Co.
1961
|
| Ausgabe: | 4. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 189 S. |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV002507732 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | t | ||
| 008 | 900315s1961 |||| 00||| engod | ||
| 035 | |a (OCoLC)1143701 | ||
| 035 | |a (DE-599)BVBBV002507732 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-91G |a DE-384 |a DE-706 |a DE-634 |a DE-188 | ||
| 050 | 0 | |a QA155 | |
| 082 | 0 | |a 512 | |
| 084 | |a SK 200 |0 (DE-625)143223: |2 rvk | ||
| 100 | 1 | |a Levi, Howard |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Elements of algebra |
| 250 | |a 4. ed. | ||
| 264 | 1 | |a New York |b Chelsea Publ. Co. |c 1961 | |
| 300 | |a 189 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Algèbre | |
| 650 | 7 | |a Algèbre |2 ram | |
| 650 | 7 | |a Álgebra |2 larpcal | |
| 650 | 4 | |a Algebra | |
| 650 | 0 | 7 | |a Algebra |0 (DE-588)4001156-2 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4151278-9 |a Einführung |2 gnd-content | |
| 689 | 0 | 0 | |a Algebra |0 (DE-588)4001156-2 |D s |
| 689 | 0 | |5 DE-604 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001615303&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-001615303 | ||
Datensatz im Suchindex
| _version_ | 1804116913597448192 |
|---|---|
| adam_text | CONTENTS
Preface to the Fourth Edition 5
Preface to the Second Edition 6
Preface to the First Edition 9
Preface to the Preliminary Edition 11
I. Sets, Statements, and Variables
Introduction, 19—Sets and their Members, 19 — Construction of Sets, 21
Variables and Statement forms, 23 — Functions, 25 — Rules of Inference
and Proofs, 28 — Beliefs, Validity, and Sets, 31 — Exercises, 32.
II. Cardinal Numbers
Introduction, 35 — Standard Sets and Cardinal Numbers, 35 — Addition
of Cardinal Numbers, 36 — The Commutative and Associative Laws
of Addition, 37 — Multiplication of Cardinal Numbers, 40 — The Com¬
mutative and Associative Laws of Multiplication, 41 — The Distributive
Law, 42 — Comments on the Five Basic Laws, 43 — Cancellation
Laws, 43 — Special Properties of Zero and One, 44 — The Addition
and Multiplication Tables for Cardinals, 46 — Exercises, 48.
III. Expressions
Introduction, 50 — Parentheses, 50 — Expressions, 51 — Evaluation of
Expressions, 52 — Equal Expressions, 53 — The Algebra of Expres¬
sions, 53 — Parentheses and the Generalized Addition Law, 55 —
Parentheses and the Generalized Multiplication Law, 57 — Parentheses
and the Generalized Distributive Law, 58 — Exercises, 61.
IV. Polynomials
Introduction, 63 — Expressions with No Parentheses, 63 — Expon¬
ents, 65 — Monomials, 67 — Multiplication and Addition of Mono¬
mials, 68 — Polynomials, 69 — Exercises, 71.
13
14 Contents
V. Number Systems in General
Introduction, 72 — Operations on a Set, 72 — Commutative and Associ¬
ative Operations, 74 — Distributive Operations, 75 — Numbers and
Number Systems, 76 — Zero Element and One Element of a Number
System, 76 — Inverses, Negatives, and Reciprocals, 78 — Some
Remarks About Numbers in General, 80 — Exercises, 80.
VI. Construction of the Integers
Introduction, 83 — Definition of Integers, 83 — Relations Among the
Sets l{x,y), 84 — Definition of Addition for Integers, 86 — The
Commutative and Associative Laws for Addition of Integers, 88 —
Definition of Multiplication for Integers, 90 — The Commutative and
Associative Laws for Multiplication of Integers, 91 — The Distributive
Laws for Integers, 93 — Relation Between Cardinals and Integers;
Isomorphisms, 94 — Exercises, 96.
VII. Properties of the Integers
Introduction, 99 — The Generalized Laws and Expressions, 99 — The
Zero Element and One Element of the Integers, 100 — The Negative of
an Integer, 101 — Standard Notation for the Integers, 103 — The Can¬
cellation Laws for Integers, 105 — Expressions Over the Integers, 107 —
Subtraction, 107 — Exercises, 108.
VIII. The Rational Number System
Introduction, 111 — The Set of Rational Numbers, 111 — Addition and
Multiplication of Rationals, 113 — One Element, Zero Element and
Negatives, 116—Relation Between Rationals and Integers, 117—Recip¬
rocals, 118 — Traditional Notation for Rationals, 119 — Standard
Forms, 120 — Expressions Over the Rationals, 120 — Exercises, 123.
IX. Equations
Introduction, 125 — Definitions, 125 — Classification and Solution of
Equations, 127 — Equations in One Variable, 127 — Equations of the
First Degree, 131 — Quadratic Equations, 132 — Equations with More
than One Variable, 136 — Simultaneous Equations, 137 — Additional
Comments, 139 — Exercises, 140.
X. Order
Introduction, 143 — Order for the Cardinals, 143 — Order for the
Integers, 145 — Order in General, 147 — Order for the Rationals, 150
— Exercises, 152.
Contents 15
XI. The Real Number System
Introduction, 155 — Finite Decimals, 155 — The Rationals as Infinite
Decimals, 157 — Repeating Decimals, 160 — Construction of the Real
Number System, 162 — Order Properties of the Real Number System,
163 — The Reals as an Extension of the Rationals, 165 — Extraction
of Roots, 166 — Exponents, 168 — Logarithms, 169 — Exercises, 170.
XII. Appendix
Introduction, 172 — Infinite Sets and the Cancellation Laws, 172 —
Equal and Unequal Infinities, 173 — Peano Axioms for Natural Num¬
bers, 175 — Proof by Mathematical Induction, 176 — Axioms, Groups,
Rings, and Fields, 178 — Exercises, 180.
Index 185
|
| any_adam_object | 1 |
| author | Levi, Howard |
| author_facet | Levi, Howard |
| author_role | aut |
| author_sort | Levi, Howard |
| author_variant | h l hl |
| building | Verbundindex |
| bvnumber | BV002507732 |
| callnumber-first | Q - Science |
| callnumber-label | QA155 |
| callnumber-raw | QA155 |
| callnumber-search | QA155 |
| callnumber-sort | QA 3155 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 200 |
| ctrlnum | (OCoLC)1143701 (DE-599)BVBBV002507732 |
| dewey-full | 512 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512 |
| dewey-search | 512 |
| dewey-sort | 3512 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 4. ed. |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01299nam a2200397 c 4500</leader><controlfield tag="001">BV002507732</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">900315s1961 |||| 00||| engod</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1143701</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV002507732</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91G</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA155</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 200</subfield><subfield code="0">(DE-625)143223:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Levi, Howard</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Elements of algebra</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">4. ed.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York</subfield><subfield code="b">Chelsea Publ. Co.</subfield><subfield code="c">1961</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">189 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="650" ind1=" " ind2="4"><subfield code="a">Algèbre</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Algèbre</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Álgebra</subfield><subfield code="2">larpcal</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Algebra</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Algebra</subfield><subfield code="0">(DE-588)4001156-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)4151278-9</subfield><subfield code="a">Einführung</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Algebra</subfield><subfield code="0">(DE-588)4001156-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001615303&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-001615303</subfield></datafield></record></collection> |
| genre | (DE-588)4151278-9 Einführung gnd-content |
| genre_facet | Einführung |
| id | DE-604.BV002507732 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:46:04Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001615303 |
| oclc_num | 1143701 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-384 DE-706 DE-634 DE-188 |
| owner_facet | DE-91G DE-BY-TUM DE-384 DE-706 DE-634 DE-188 |
| physical | 189 S. |
| publishDate | 1961 |
| publishDateSearch | 1961 |
| publishDateSort | 1961 |
| publisher | Chelsea Publ. Co. |
| record_format | marc |
| spelling | Levi, Howard Verfasser aut Elements of algebra 4. ed. New York Chelsea Publ. Co. 1961 189 S. txt rdacontent n rdamedia nc rdacarrier Algèbre Algèbre ram Álgebra larpcal Algebra Algebra (DE-588)4001156-2 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Algebra (DE-588)4001156-2 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001615303&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Levi, Howard Elements of algebra Algèbre Algèbre ram Álgebra larpcal Algebra Algebra (DE-588)4001156-2 gnd |
| subject_GND | (DE-588)4001156-2 (DE-588)4151278-9 |
| title | Elements of algebra |
| title_auth | Elements of algebra |
| title_exact_search | Elements of algebra |
| title_full | Elements of algebra |
| title_fullStr | Elements of algebra |
| title_full_unstemmed | Elements of algebra |
| title_short | Elements of algebra |
| title_sort | elements of algebra |
| topic | Algèbre Algèbre ram Álgebra larpcal Algebra Algebra (DE-588)4001156-2 gnd |
| topic_facet | Algèbre Álgebra Algebra Einführung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001615303&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT levihoward elementsofalgebra |