An introduction to partial differential equations with MATLAB:
"Many problems in the physical world can be modeled by partial differential equations, from applications as diverse as the flow of heat, the vibration of a ball, the propagation of sound waves, the diffusion of ink in a glass of water, electric and magnetic fields, the spread of algae along the...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boca Raton, Fla. [u.a.]
CRC Press
2013
|
| Ausgabe: | 2. edition |
| Schriftenreihe: | Chapman & Hall/CRC Applied Mathematics and Nonlinear Science Series
|
| Schlagworte: | |
| Online-Zugang: | Cover |
| Zusammenfassung: | "Many problems in the physical world can be modeled by partial differential equations, from applications as diverse as the flow of heat, the vibration of a ball, the propagation of sound waves, the diffusion of ink in a glass of water, electric and magnetic fields, the spread of algae along the ocean's surface, the fluctuation in the price of a stock option, and the quantum mechanical behavior of a hydrogen atom. However, as with any area of applied mathematics, the field of PDEs is interesting not only because of its applications, but because it has taken on a mathematical life of its own. The author has written this book with both ideas in mind, in the hope that the student will appreciate the usefulness of the subject and, at the same time, get a glimpse into the beauty of some of the underlying mathematics. This text is suitable for a two-semester introduction to partial differential equations and Fourier series for students who have had basic courses in multivariable calculus (through Stokes's and the Divergence Theorems) and ordinary differential equations. Over the years, the author has taught much of the material to undergraduate mathematics, physics and engineering students at Penn State and Fairfield Universities, as well as to engineering graduate students at Penn State and mathematics and engineering graduate students at Fairfield. It is assumed that the student has not had a course in real analysis. Thus, we treat pointwise convergence of Fourier series and do not talk about mean-square convergence until Chapter 8 (and, there, in terms of the Riemann, and not the Lebesgue, integral). Further, we feel that it is not appropriate to introduce so subtle an idea as uniform convergence in this setting, so we discuss it only in the Appendices"-- |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | XIV, 669 Seiten Diagramme |
| ISBN: | 9781439898468 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV041294169 | ||
| 003 | DE-604 | ||
| 005 | 20211104 | ||
| 007 | t | ||
| 008 | 130927s2013 |||| |||| 00||| eng d | ||
| 010 | |a 2012050932 | ||
| 020 | |a 9781439898468 |c hardback |9 978-1-4398-9846-8 | ||
| 035 | |a (OCoLC)864558311 | ||
| 035 | |a (DE-599)GBV739863916 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-29T |a DE-523 | ||
| 084 | |a SK 540 |0 (DE-625)143245: |2 rvk | ||
| 100 | 1 | |a Coleman, Matthew P. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a An introduction to partial differential equations with MATLAB |c Matthew P. Coleman |
| 250 | |a 2. edition | ||
| 264 | 1 | |a Boca Raton, Fla. [u.a.] |b CRC Press |c 2013 | |
| 300 | |a XIV, 669 Seiten |b Diagramme | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Chapman & Hall/CRC Applied Mathematics and Nonlinear Science Series | |
| 500 | |a Includes bibliographical references and index | ||
| 520 | 1 | |a "Many problems in the physical world can be modeled by partial differential equations, from applications as diverse as the flow of heat, the vibration of a ball, the propagation of sound waves, the diffusion of ink in a glass of water, electric and magnetic fields, the spread of algae along the ocean's surface, the fluctuation in the price of a stock option, and the quantum mechanical behavior of a hydrogen atom. However, as with any area of applied mathematics, the field of PDEs is interesting not only because of its applications, but because it has taken on a mathematical life of its own. The author has written this book with both ideas in mind, in the hope that the student will appreciate the usefulness of the subject and, at the same time, get a glimpse into the beauty of some of the underlying mathematics. This text is suitable for a two-semester introduction to partial differential equations and Fourier series for students who have had basic courses in multivariable calculus (through Stokes's and the Divergence Theorems) and ordinary differential equations. Over the years, the author has taught much of the material to undergraduate mathematics, physics and engineering students at Penn State and Fairfield Universities, as well as to engineering graduate students at Penn State and mathematics and engineering graduate students at Fairfield. It is assumed that the student has not had a course in real analysis. Thus, we treat pointwise convergence of Fourier series and do not talk about mean-square convergence until Chapter 8 (and, there, in terms of the Riemann, and not the Lebesgue, integral). Further, we feel that it is not appropriate to introduce so subtle an idea as uniform convergence in this setting, so we discuss it only in the Appendices"-- | |
| 650 | 0 | 7 | |a Partielle Differentialgleichung |0 (DE-588)4044779-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a MATLAB |0 (DE-588)4329066-8 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Partielle Differentialgleichung |0 (DE-588)4044779-0 |D s |
| 689 | 0 | 1 | |a MATLAB |0 (DE-588)4329066-8 |D s |
| 689 | 0 | |5 DE-604 | |
| 856 | 4 | |u http://images.tandf.co.uk/common/jackets/websmall/978143989/9781439898468.jpg |3 Cover | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-026743098 | ||
Datensatz im Suchindex
| _version_ | 1804151359920930816 |
|---|---|
| any_adam_object | |
| author | Coleman, Matthew P. |
| author_facet | Coleman, Matthew P. |
| author_role | aut |
| author_sort | Coleman, Matthew P. |
| author_variant | m p c mp mpc |
| building | Verbundindex |
| bvnumber | BV041294169 |
| classification_rvk | SK 540 |
| ctrlnum | (OCoLC)864558311 (DE-599)GBV739863916 |
| discipline | Mathematik |
| edition | 2. edition |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03198nam a2200397 c 4500</leader><controlfield tag="001">BV041294169</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20211104 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">130927s2013 |||| |||| 00||| eng d</controlfield><datafield tag="010" ind1=" " ind2=" "><subfield code="a">2012050932</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781439898468</subfield><subfield code="c">hardback</subfield><subfield code="9">978-1-4398-9846-8</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)864558311</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)GBV739863916</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-29T</subfield><subfield code="a">DE-523</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 540</subfield><subfield code="0">(DE-625)143245:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Coleman, Matthew P.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">An introduction to partial differential equations with MATLAB</subfield><subfield code="c">Matthew P. Coleman</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">2. edition</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Boca Raton, Fla. [u.a.]</subfield><subfield code="b">CRC Press</subfield><subfield code="c">2013</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XIV, 669 Seiten</subfield><subfield code="b">Diagramme</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">Chapman & Hall/CRC Applied Mathematics and Nonlinear Science Series</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references and index</subfield></datafield><datafield tag="520" ind1="1" ind2=" "><subfield code="a">"Many problems in the physical world can be modeled by partial differential equations, from applications as diverse as the flow of heat, the vibration of a ball, the propagation of sound waves, the diffusion of ink in a glass of water, electric and magnetic fields, the spread of algae along the ocean's surface, the fluctuation in the price of a stock option, and the quantum mechanical behavior of a hydrogen atom. However, as with any area of applied mathematics, the field of PDEs is interesting not only because of its applications, but because it has taken on a mathematical life of its own. The author has written this book with both ideas in mind, in the hope that the student will appreciate the usefulness of the subject and, at the same time, get a glimpse into the beauty of some of the underlying mathematics. This text is suitable for a two-semester introduction to partial differential equations and Fourier series for students who have had basic courses in multivariable calculus (through Stokes's and the Divergence Theorems) and ordinary differential equations. Over the years, the author has taught much of the material to undergraduate mathematics, physics and engineering students at Penn State and Fairfield Universities, as well as to engineering graduate students at Penn State and mathematics and engineering graduate students at Fairfield. It is assumed that the student has not had a course in real analysis. Thus, we treat pointwise convergence of Fourier series and do not talk about mean-square convergence until Chapter 8 (and, there, in terms of the Riemann, and not the Lebesgue, integral). Further, we feel that it is not appropriate to introduce so subtle an idea as uniform convergence in this setting, so we discuss it only in the Appendices"--</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Partielle Differentialgleichung</subfield><subfield code="0">(DE-588)4044779-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">MATLAB</subfield><subfield code="0">(DE-588)4329066-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Partielle Differentialgleichung</subfield><subfield code="0">(DE-588)4044779-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">MATLAB</subfield><subfield code="0">(DE-588)4329066-8</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=" "><subfield code="u">http://images.tandf.co.uk/common/jackets/websmall/978143989/9781439898468.jpg</subfield><subfield code="3">Cover</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-026743098</subfield></datafield></record></collection> |
| id | DE-604.BV041294169 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T00:53:34Z |
| institution | BVB |
| isbn | 9781439898468 |
| language | English |
| lccn | 2012050932 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-026743098 |
| oclc_num | 864558311 |
| open_access_boolean | |
| owner | DE-29T DE-523 |
| owner_facet | DE-29T DE-523 |
| physical | XIV, 669 Seiten Diagramme |
| publishDate | 2013 |
| publishDateSearch | 2013 |
| publishDateSort | 2013 |
| publisher | CRC Press |
| record_format | marc |
| series2 | Chapman & Hall/CRC Applied Mathematics and Nonlinear Science Series |
| spelling | Coleman, Matthew P. Verfasser aut An introduction to partial differential equations with MATLAB Matthew P. Coleman 2. edition Boca Raton, Fla. [u.a.] CRC Press 2013 XIV, 669 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Chapman & Hall/CRC Applied Mathematics and Nonlinear Science Series Includes bibliographical references and index "Many problems in the physical world can be modeled by partial differential equations, from applications as diverse as the flow of heat, the vibration of a ball, the propagation of sound waves, the diffusion of ink in a glass of water, electric and magnetic fields, the spread of algae along the ocean's surface, the fluctuation in the price of a stock option, and the quantum mechanical behavior of a hydrogen atom. However, as with any area of applied mathematics, the field of PDEs is interesting not only because of its applications, but because it has taken on a mathematical life of its own. The author has written this book with both ideas in mind, in the hope that the student will appreciate the usefulness of the subject and, at the same time, get a glimpse into the beauty of some of the underlying mathematics. This text is suitable for a two-semester introduction to partial differential equations and Fourier series for students who have had basic courses in multivariable calculus (through Stokes's and the Divergence Theorems) and ordinary differential equations. Over the years, the author has taught much of the material to undergraduate mathematics, physics and engineering students at Penn State and Fairfield Universities, as well as to engineering graduate students at Penn State and mathematics and engineering graduate students at Fairfield. It is assumed that the student has not had a course in real analysis. Thus, we treat pointwise convergence of Fourier series and do not talk about mean-square convergence until Chapter 8 (and, there, in terms of the Riemann, and not the Lebesgue, integral). Further, we feel that it is not appropriate to introduce so subtle an idea as uniform convergence in this setting, so we discuss it only in the Appendices"-- Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf MATLAB (DE-588)4329066-8 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 s MATLAB (DE-588)4329066-8 s DE-604 http://images.tandf.co.uk/common/jackets/websmall/978143989/9781439898468.jpg Cover |
| spellingShingle | Coleman, Matthew P. An introduction to partial differential equations with MATLAB Partielle Differentialgleichung (DE-588)4044779-0 gnd MATLAB (DE-588)4329066-8 gnd |
| subject_GND | (DE-588)4044779-0 (DE-588)4329066-8 |
| title | An introduction to partial differential equations with MATLAB |
| title_auth | An introduction to partial differential equations with MATLAB |
| title_exact_search | An introduction to partial differential equations with MATLAB |
| title_full | An introduction to partial differential equations with MATLAB Matthew P. Coleman |
| title_fullStr | An introduction to partial differential equations with MATLAB Matthew P. Coleman |
| title_full_unstemmed | An introduction to partial differential equations with MATLAB Matthew P. Coleman |
| title_short | An introduction to partial differential equations with MATLAB |
| title_sort | an introduction to partial differential equations with matlab |
| topic | Partielle Differentialgleichung (DE-588)4044779-0 gnd MATLAB (DE-588)4329066-8 gnd |
| topic_facet | Partielle Differentialgleichung MATLAB |
| url | http://images.tandf.co.uk/common/jackets/websmall/978143989/9781439898468.jpg |
| work_keys_str_mv | AT colemanmatthewp anintroductiontopartialdifferentialequationswithmatlab |