Advanced engineering mathematics with modeling applications:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boca Raton [u.a.]
CRC Press
2009
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | XII, 524 S. graph. Darst. |
| ISBN: | 9780849395338 |
Internformat
MARC
| LEADER | 00000nam a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV035286091 | ||
| 003 | DE-604 | ||
| 005 | 20090204 | ||
| 007 | t | ||
| 008 | 090202s2009 xxud||| |||| 00||| eng d | ||
| 010 | |a 2008046267 | ||
| 020 | |a 9780849395338 |c alk. paper |9 978-0-8493-9533-8 | ||
| 035 | |a (OCoLC)149657394 | ||
| 035 | |a (DE-599)BVBBV035286091 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 044 | |a xxu |c US | ||
| 049 | |a DE-29T |a DE-92 | ||
| 050 | 0 | |a TA330 | |
| 082 | 0 | |a 620.001/51 | |
| 084 | |a SK 950 |0 (DE-625)143273: |2 rvk | ||
| 100 | 1 | |a Kelly, S. Graham |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Advanced engineering mathematics with modeling applications |c S. Graham Kelly |
| 264 | 1 | |a Boca Raton [u.a.] |b CRC Press |c 2009 | |
| 300 | |a XII, 524 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Includes bibliographical references and index | ||
| 650 | 4 | |a Ingenieurwissenschaften | |
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Engineering mathematics | |
| 650 | 4 | |a Engineering |x Mathematical models | |
| 650 | 0 | 7 | |a Mathematik |0 (DE-588)4037944-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Mathematisches Modell |0 (DE-588)4114528-8 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Mathematik |0 (DE-588)4037944-9 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Mathematisches Modell |0 (DE-588)4114528-8 |D s |
| 689 | 1 | |5 DE-604 | |
| 856 | 4 | 2 | |m GBV Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017091226&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-017091226 | ||
Datensatz im Suchindex
| _version_ | 1804138580675657728 |
|---|---|
| adam_text | ADVANCED ENGINEERING MATHEMATICS WITH MODELIN! APPLICATIONS S. GRAHAM
KELLY O ~ ~~F~~~~~ P BOCA RATON LONDON NEW YORK CRC PRESS IS AN IMPRINT
OF THE TAYLOR & FRANCIS GROUP, AN INFORMA BUSINESS CONTENTS PREFACE XI
AUTHOR XIII CHAPTER 1 FOUNDATIONS OF MATHEMATICAL MODELING 1 1.1
ENGINEERING ANALYSIS 1 1.2 CONSERVATION LAWS AND MATHEMATICAL MODELING 6
1.3 PROBLEM FORMULATION 10 1.4 NONDIMENSIONALIZATION 27 1.5 SCALING 45
PROBLEMS 56 CHAPTER 2 LINEAR ALGEBRA 65 2.1 INTRODUCTION 65 2.2
THREE-DIMENSIONAL SPACE 66 2.3 VECTOR SPACES 73 2.4 LINEAR INDEPENDENCE
77 2.5 BASIS AND DIMENSION 80 2.6 INNER PRODUCTS 86 2.7 NORMS 93 2.8
GRAM-SCHMIDT ORTHONORMALIZATION 98 2.9 ORTHOGONAL EXPANSIONS 105 2.10
LINEAR OPERATORS 109 2.11 ADJOINT OPERATORS 121 2.12 POSITIVE DEFINITE
OPERATORS 129 2.13 ENERGY INNER PRODUCTS 132 PROBLEMS 139 CHAPTER 3
ORDINARY DIFFERENTIAL EQUATIONS 143 3.1 LINEAR DIFFERENTIAL EQUATIONS
143 3.2 GENERAL THEORY FOR SECOND-ORDER DIFFERENTIAL EQUATIONS 146 3.3
DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS 149 3.4 DIFFERENTIAL
EQUATIONS WITH VARIABLE COEFFICIENTS 167 3.5 SINGULAR POINTS OF
SECOND-ORDER EQUATIONS 173 VIII CONTENTS 3.6 BESSEL FUNCTIONS 180 3.7
DIFFERENTIAL EQUATIONS WHOSE SOLUTIONS ARE EXPRESSIBLE IN TERMS OF
BESSEL FUNCTIONS 193 3.8 LEGENDRE FUNCTIONS 198 PROBLEMS 201 CHAPTER 4
VARIATIONAL METHODS 209 4.1 INTRODUCTION 209 4.2 THE GENERAL VARIATIONAL
PROBLEM 210 4.3 VARIATIONAL SOLUTIONS OF OPERATOR EQUATIONS 224 4.3.1
METHOD OF LEAST SQUARES 224 4.3.2 RAYLEIGH-RITZ METHOD 226 4.4
FINITE-ELEMENT METHOD 242 4.5 GALERKIN SMETHOD 270 PROBLEMS 273
CHAPTER 5 EIGENVALUE PROBLEMS 277 5.1 EIGENVALUE AND EIGENVECTOR
PROBLEMS 277 5.2 EIGENVALUES OF ADJOINT OPERATORS 278 5.3 EIGENVALUES OF
POSITIVE DEFINITE OPERATORS 279 5.4 EIGENVALUE PROBLEMS FOR OPERATORS IN
FINITE-DIMENSIONAL VECTOR SPACES 280 5.5 SECOND-ORDER DIFFERENTIAL
OPERATORS 287 5.6 EIGENVECTOR EXPANSIONS 303 5.6.1 COMPLETENESS THEOREM
303 5.6.2 TRIGONOMETRIE FOURIER SERIES 309 5.6.3 COMPLETENESS OF
EIGENVECTORS FOR SELF-ADJOINT AND NON-SELF-ADJOINT OPERATORS 312 5.6.4
SOLUTION OF NONHOMOGENEOUS EQUATIONS USING EIGENVECTOR EXPANSIONS 314
5.7 FOURTH-ORDER DIFFERENTIAL OPERATORS 318 5.8 DIFFERENTIAL OPERATORS
WITH EIGENVALUES IN BOUNDARY CONDITIONS 329 5.9 EIGENVALUE PROBLEMS
INVOLVING BESSEL FUNCTIONS 336 5.10 EIGENVALUE PROBLEMS IN OTHER
INFINITE-DIMENSIONAL VECTOR SPACES 349 5.11 SOLVABILITY CONDITIONS 354
5.12 ASYMPTOTIC APPROXIMATIONS TO SOLUTIONS OF EIGENVALUE PROBLEMS 358
5.13 RAYLEIGH S QUOTIENT 370 5.14 RAYLEIGH-RITZ METHOD 376 5.15
GREEN SFUNCTIONS 394 PROBLEMS 408 CONTENTS IX CHAPTER 6 PARTIAL
DIFFERENTIAL EQUATIONS 419 6.1 HOMOGENEOUS PARTIAL DIFFERENTIAL
EQUATIONS 419 6.2 SECOND-ORDER STEADY-STATE PROBLEMS, LAPLACE S EQUATION
421 6.3 TIME-DEPENDENT PROBLEMS: INITIAL VALUE PROBLEMS 441 6.4
NONHOMOGENEOUS PARTIAL DIFFERENTIAL EQUATIONS 455 6.5 PROBLEMS IN
CYLINDRICAL COORDINATES 471 6.6 PROBLEMS IN SPHERICAL COORDINATES 491
PROBLEMS 508 INDEX 517
|
| any_adam_object | 1 |
| author | Kelly, S. Graham |
| author_facet | Kelly, S. Graham |
| author_role | aut |
| author_sort | Kelly, S. Graham |
| author_variant | s g k sg sgk |
| building | Verbundindex |
| bvnumber | BV035286091 |
| callnumber-first | T - Technology |
| callnumber-label | TA330 |
| callnumber-raw | TA330 |
| callnumber-search | TA330 |
| callnumber-sort | TA 3330 |
| callnumber-subject | TA - General and Civil Engineering |
| classification_rvk | SK 950 |
| ctrlnum | (OCoLC)149657394 (DE-599)BVBBV035286091 |
| dewey-full | 620.001/51 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 620 - Engineering and allied operations |
| dewey-raw | 620.001/51 |
| dewey-search | 620.001/51 |
| dewey-sort | 3620.001 251 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01669nam a2200457zc 4500</leader><controlfield tag="001">BV035286091</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20090204 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">090202s2009 xxud||| |||| 00||| eng d</controlfield><datafield tag="010" ind1=" " ind2=" "><subfield code="a">2008046267</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780849395338</subfield><subfield code="c">alk. paper</subfield><subfield code="9">978-0-8493-9533-8</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)149657394</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV035286091</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="044" ind1=" " ind2=" "><subfield code="a">xxu</subfield><subfield code="c">US</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-29T</subfield><subfield code="a">DE-92</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">TA330</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">620.001/51</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 950</subfield><subfield code="0">(DE-625)143273:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Kelly, S. Graham</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Advanced engineering mathematics with modeling applications</subfield><subfield code="c">S. Graham Kelly</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Boca Raton [u.a.]</subfield><subfield code="b">CRC Press</subfield><subfield code="c">2009</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XII, 524 S.</subfield><subfield code="b">graph. Darst.</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="500" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references and index</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Ingenieurwissenschaften</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematisches Modell</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Engineering mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Engineering</subfield><subfield code="x">Mathematical models</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mathematik</subfield><subfield code="0">(DE-588)4037944-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mathematisches Modell</subfield><subfield code="0">(DE-588)4114528-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Mathematik</subfield><subfield code="0">(DE-588)4037944-9</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">Mathematisches Modell</subfield><subfield code="0">(DE-588)4114528-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">GBV 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=017091226&sequence=000001&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:BVB01-017091226</subfield></datafield></record></collection> |
| id | DE-604.BV035286091 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:30:27Z |
| institution | BVB |
| isbn | 9780849395338 |
| language | English |
| lccn | 2008046267 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017091226 |
| oclc_num | 149657394 |
| open_access_boolean | |
| owner | DE-29T DE-92 |
| owner_facet | DE-29T DE-92 |
| physical | XII, 524 S. graph. Darst. |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | CRC Press |
| record_format | marc |
| spelling | Kelly, S. Graham Verfasser aut Advanced engineering mathematics with modeling applications S. Graham Kelly Boca Raton [u.a.] CRC Press 2009 XII, 524 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index Ingenieurwissenschaften Mathematisches Modell Engineering mathematics Engineering Mathematical models Mathematik (DE-588)4037944-9 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Mathematik (DE-588)4037944-9 s DE-604 Mathematisches Modell (DE-588)4114528-8 s GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017091226&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kelly, S. Graham Advanced engineering mathematics with modeling applications Ingenieurwissenschaften Mathematisches Modell Engineering mathematics Engineering Mathematical models Mathematik (DE-588)4037944-9 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| subject_GND | (DE-588)4037944-9 (DE-588)4114528-8 |
| title | Advanced engineering mathematics with modeling applications |
| title_auth | Advanced engineering mathematics with modeling applications |
| title_exact_search | Advanced engineering mathematics with modeling applications |
| title_full | Advanced engineering mathematics with modeling applications S. Graham Kelly |
| title_fullStr | Advanced engineering mathematics with modeling applications S. Graham Kelly |
| title_full_unstemmed | Advanced engineering mathematics with modeling applications S. Graham Kelly |
| title_short | Advanced engineering mathematics with modeling applications |
| title_sort | advanced engineering mathematics with modeling applications |
| topic | Ingenieurwissenschaften Mathematisches Modell Engineering mathematics Engineering Mathematical models Mathematik (DE-588)4037944-9 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| topic_facet | Ingenieurwissenschaften Mathematisches Modell Engineering mathematics Engineering Mathematical models Mathematik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017091226&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT kellysgraham advancedengineeringmathematicswithmodelingapplications |