A first course in computing and numerical methods:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | Undetermined |
| Veröffentlicht: |
Reading, Mass.
Addison-Wesley
1970
|
| Schriftenreihe: | Addison-Wesley series in mathematics.
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVI,365 S.m.Abb.u.Tab. |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV005710534 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | t | ||
| 008 | 921028s1970 |||| 00||| und d | ||
| 035 | |a (OCoLC)251902373 | ||
| 035 | |a (DE-599)BVBBV005710534 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | |a und | ||
| 049 | |a DE-703 |a DE-355 |a DE-824 |a DE-29T |a DE-83 | ||
| 084 | |a SK 910 |0 (DE-625)143270: |2 rvk | ||
| 100 | 1 | |a Jacquez, John A. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a A first course in computing and numerical methods |
| 264 | 1 | |a Reading, Mass. |b Addison-Wesley |c 1970 | |
| 300 | |a XVI,365 S.m.Abb.u.Tab. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Addison-Wesley series in mathematics. | |
| 650 | 0 | 7 | |a Optimierung |0 (DE-588)4043664-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Numerische Mathematik |0 (DE-588)4042805-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Programmierung |0 (DE-588)4076370-5 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4151278-9 |a Einführung |2 gnd-content | |
| 689 | 0 | 0 | |a Numerische Mathematik |0 (DE-588)4042805-9 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Optimierung |0 (DE-588)4043664-0 |D s |
| 689 | 1 | |5 DE-604 | |
| 689 | 2 | 0 | |a Programmierung |0 (DE-588)4076370-5 |D s |
| 689 | 2 | |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=003567237&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 940 | 1 | |q TUB-nveb | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-003567237 | ||
Datensatz im Suchindex
| _version_ | 1804119896581210112 |
|---|---|
| adam_text | CONTENTS
1 The Scientific Process
1 1 Introduction 1
1 2 Entitation 2
1 3 Hypotheses, models, analogs 2
1 4 Problem solving 3
1 5 Science—an adaptive control process 4
1 6 Computers 5
1 7 Programming 5
2 Logic, Mathematics, and Mathematical Proof
2 1 Introduction 7
2 2 The statement calculus 7
2 3 The statement calculus and the predicate calculus 13
2 4 Set theory 13
2 5 Ordered collections, vectors, and Cartesian products 17
2 6 Relations 18
2 7 Functions, mappings, and transformations 20
2 8 Mathematical proof 21
3 Number Systems and Computing
3 1 Introduction 24
3 2 Positional notations 24
3 3 Arithmetics 27
3 4 Binary, octal, decimal, hexadecimal 28
3 5 Conversion between different systems 29
3 6 Representation of numbers in computers 32
3 7 Complement arithmetic 34
xi
xii Contents
4 Computers and Programming
4 1 Introduction 36
4 2 Organization and operation of the digital computer 37
4 3 Machine language programming 40
4 4 Symbolic programming and programming languages 41
4—5 Basic programming 42
5 MAD, FORTRAN, and ALGOL
5 1 Introduction 48
5 2 General structure of compiler level languages 49
5 3 Flow charting as a universal algorithmic language 52
5 4 MAD 54
5 5 FORTRAN IV 64
5 6 ALGOL 77
6 Functions of One Variable and Iterative Methods
6 1 The pillars of analysis 87
6 2 The roots of equations 91
6 3 Iterative methods 98
7 Introduction to Error Analysis
7 1 The sources of error 106
7 2 A dictionary of computational errors 107
7 3 General formulation 108
7 4 Generation of error in the basic arithmetic operations 109
7 5 Limitations of the computer 112
7 6 Generation of error in repeated summation 114
7 7 Generation of error in repeated multiplication 121
Contents xiii
8 Vectors, Vector Spaces, and Linear Transformations
8 1 Vectors and vector spaces 123
8 2 Basic definitions and operations 126
8 3 Linear independence and vector bases 129
8 4 Generalization of concept of a vector space 131
8 5 Linear transformations 133
9 Determinants
9 1 Simultaneous linear equations 140
9 2 Determinants 141
9 3 Expansion of determinants 143
9 4 Evaluation of determinants 144
9 5 Cramer s rule 144
10 Matrices
10 1 Definitions 146
10 2 Basic operations with matrices 147
10 3 Partitioning of matrices 150
10 4 Simultaneous linear equations and elementary row and column operations 150
10 5 Transpose 153
10 6 Inverse 154
10 7 Cramer s rule 155
10 8 The characteristic polynomial 155
10 9 Linear transformations 156
11 Simultaneous Linear Equations
11 1 Introduction 160
11 2 Gaussian elimination and the Gauss Jordan method 161
11 3 Iterative methods 169
11 4 Matrix inversion 171
xiv Contents
12 Eigenvalues and Eigenvectors
12 1 Linear transformations and eigenvalues 179
12 2 Roots of the characteristic polynomial 183
12 3 The largest and smallest eigenvalues 183
12 4 Quadratic forms and the principal axis transformation 185
12 5 Eigenvalues and eigenvectors of a real symmetric matrix 188
13 Linear Programming
13 1 Introduction 197
13 2 Examples 197
13 3 The linear programming problem in standard form 198
13 4 Convex sets and a geometric interpretation of the linear programming
problem 200
13 5 The linear programming problem in canonical or superstandard form . . 203
13 6 The simplex method 204
13 7 Programming the simplex method 210
13 8 An example from analytical ultraviolet spectrophotometry 216
13 9 The dual problem 218
14 Finite Differences
14 1 Introduction 221
14 2 Finite differences 222
14 3 Fundamental properties of operators 223
14 4 Basic formulae and functions of the difference calculus 227
14 5 Summation 230
15 Difference Equations
15 1 Introduction 234
15 2 General properties of solutions of linear difference equations .... 235
15 3 Linear difference equations with constant coefficients 238
Contents xv
15 4 Linear difference equations with variable coefficients 242
15 5 Generating functions 243
15 6 Systems of simultaneous linear difference equations 247
16 Polynomial Interpretation and Quadrature
16 1 Introduction 254
16 2 Polynomial interpretation 254
16 3 Hermite s problem and Hermite interpolation 261
16 4 The general problem of polynomial fitting 262
16 5 Piecewise fitting and splines 263
16 6 Numerical integration: quadrature 266
17 Orthogonal Polynomials and Gaussian Quadrature
17 1 Polynomial fitting and orthogonal polynomials 272
17 2 Polynomials orthogonal on a finite set of points 275
17 3 Polynomials orthogonal on an interval 278
17 4 Families of polynomials orthogonal on an interval 280
17 5 Gaussian quadrature 285
18 Least Squares Fitting
18 1 Introduction 290
18 2 Statistical preliminaries 293
18 3 Linear regression 298
18 4 Nonlinear regression 307
19 Ordinary Differential Equations
19 1 Introduction 321
19 2 Taylor s series 322
19 3 Numerical integration of differential equations 322
xvi Contents
19 4 Euler s method 324
19 5 Runge Kutta methods 328
19 6 Predictor corrector methods 331
19 7 Systems of first order ordinary differential equations 340
19 8 Programming considerations 340
19 9 Introduction to boundary value problems 343
19 10 Boundary value problems in linear
differential equations with variable coefficients 344
19 11 Boundary value problems in nonlinear
differential equations and quasilinearization 348
19 12 Least squares parameter estimation and quasilinearization 351
Index 357
|
| any_adam_object | 1 |
| author | Jacquez, John A. |
| author_facet | Jacquez, John A. |
| author_role | aut |
| author_sort | Jacquez, John A. |
| author_variant | j a j ja jaj |
| building | Verbundindex |
| bvnumber | BV005710534 |
| classification_rvk | SK 910 |
| ctrlnum | (OCoLC)251902373 (DE-599)BVBBV005710534 |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01562nam a2200409 c 4500</leader><controlfield tag="001">BV005710534</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">921028s1970 |||| 00||| und d</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)251902373</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV005710534</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=" " ind2=" "><subfield code="a">und</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-703</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 910</subfield><subfield code="0">(DE-625)143270:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Jacquez, John A.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">A first course in computing and numerical methods</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Reading, Mass.</subfield><subfield code="b">Addison-Wesley</subfield><subfield code="c">1970</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XVI,365 S.m.Abb.u.Tab.</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">Addison-Wesley series in mathematics.</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Optimierung</subfield><subfield code="0">(DE-588)4043664-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Numerische Mathematik</subfield><subfield code="0">(DE-588)4042805-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Programmierung</subfield><subfield code="0">(DE-588)4076370-5</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">Numerische Mathematik</subfield><subfield code="0">(DE-588)4042805-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Optimierung</subfield><subfield code="0">(DE-588)4043664-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Programmierung</subfield><subfield code="0">(DE-588)4076370-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" 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=003567237&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">TUB-nveb</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-003567237</subfield></datafield></record></collection> |
| genre | (DE-588)4151278-9 Einführung gnd-content |
| genre_facet | Einführung |
| id | DE-604.BV005710534 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:33:29Z |
| institution | BVB |
| language | Undetermined |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003567237 |
| oclc_num | 251902373 |
| open_access_boolean | |
| owner | DE-703 DE-355 DE-BY-UBR DE-824 DE-29T DE-83 |
| owner_facet | DE-703 DE-355 DE-BY-UBR DE-824 DE-29T DE-83 |
| physical | XVI,365 S.m.Abb.u.Tab. |
| psigel | TUB-nveb |
| publishDate | 1970 |
| publishDateSearch | 1970 |
| publishDateSort | 1970 |
| publisher | Addison-Wesley |
| record_format | marc |
| series2 | Addison-Wesley series in mathematics. |
| spelling | Jacquez, John A. Verfasser aut A first course in computing and numerical methods Reading, Mass. Addison-Wesley 1970 XVI,365 S.m.Abb.u.Tab. txt rdacontent n rdamedia nc rdacarrier Addison-Wesley series in mathematics. Optimierung (DE-588)4043664-0 gnd rswk-swf Numerische Mathematik (DE-588)4042805-9 gnd rswk-swf Programmierung (DE-588)4076370-5 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Numerische Mathematik (DE-588)4042805-9 s DE-604 Optimierung (DE-588)4043664-0 s Programmierung (DE-588)4076370-5 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003567237&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Jacquez, John A. A first course in computing and numerical methods Optimierung (DE-588)4043664-0 gnd Numerische Mathematik (DE-588)4042805-9 gnd Programmierung (DE-588)4076370-5 gnd |
| subject_GND | (DE-588)4043664-0 (DE-588)4042805-9 (DE-588)4076370-5 (DE-588)4151278-9 |
| title | A first course in computing and numerical methods |
| title_auth | A first course in computing and numerical methods |
| title_exact_search | A first course in computing and numerical methods |
| title_full | A first course in computing and numerical methods |
| title_fullStr | A first course in computing and numerical methods |
| title_full_unstemmed | A first course in computing and numerical methods |
| title_short | A first course in computing and numerical methods |
| title_sort | a first course in computing and numerical methods |
| topic | Optimierung (DE-588)4043664-0 gnd Numerische Mathematik (DE-588)4042805-9 gnd Programmierung (DE-588)4076370-5 gnd |
| topic_facet | Optimierung Numerische Mathematik Programmierung Einführung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003567237&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT jacquezjohna afirstcourseincomputingandnumericalmethods |