Advanced mathematics for engineers and physicists:
This book is designed to be an introductory course to some basic chapters of Advanced Mathematics for Engineering and Physics students, researchers in different branches of Applied Mathematics and anyone wanting to improve their mathematical knowledge by a clear, live, self-contained and motivated t...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cham, Switzerland
Springer Nature
[2022]
|
| Schlagworte: | |
| Zusammenfassung: | This book is designed to be an introductory course to some basic chapters of Advanced Mathematics for Engineering and Physics students, researchers in different branches of Applied Mathematics and anyone wanting to improve their mathematical knowledge by a clear, live, self-contained and motivated text. Here, one can find different topics, such as differential (first order or higher order) equations, systems of differential equations, Fourier series, Fourier and Laplace transforms, partial differential equations, some basic facts and applications of the calculus of variations and, last but not least, an original and more intuitive introduction to probability theory. All these topics are carefully introduced, with complete proofs, motivations, examples, applications, problems and exercises, which are completely solved at the end of the book. We added a generous supplementary material (11.1) with a self-contained and complete introduction to normed, metric and Hilbert spaces. Since we used some topics from complex function theory, we also introduced in Chapter 11 a section (11.2) with the basic facts in this important field. What a reader needs for a complete understanding of this book? For a deep understanding of this book, it is required to take a course in undergraduate calculus and linear algebra. We mostly tried to use the engineering intuition instead of insisting on mathematical tricks. The main feature of the material presented here is its clarity, motivation and the genuine desire of the authors to make extremely transparent the "mysterious" mathematical tools that are used to describe and organize the great variety of impressions that come to the searching mind, from the infinite complexity of Nature. The book is recommended not only to engineering and physics students or researchers but also to junior students in mathematics because it shows the connection between pure mathematics and physical phenomena, which always supply motivations for mathematical discoveries. |
| Beschreibung: | xiv, 828 Seiten Diagramme |
| ISBN: | 9783031215018 9783031215032 9783031215049 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV049331201 | ||
| 003 | DE-604 | ||
| 005 | 20231106 | ||
| 007 | t | ||
| 008 | 230918s2022 sz |||| |||| 00||| eng d | ||
| 020 | |a 9783031215018 |9 978-3-031-21501-8 | ||
| 020 | |a 9783031215032 |9 978-3-031-21503-2 | ||
| 020 | |a 9783031215049 |9 978-3-031-21504-9 | ||
| 024 | 7 | |a 10.1007/978-3-031-21502-5 |2 doi | |
| 035 | |a (OCoLC)1371292450 | ||
| 035 | |a (DE-599)KXP1837755043 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 044 | |a sz |c XA-CH | ||
| 049 | |a DE-83 | ||
| 084 | |a SK 950 |0 (DE-625)143273: |2 rvk | ||
| 100 | 1 | |a Popescu, Angel |e Verfasser |0 (DE-588)1114694428 |4 aut | |
| 245 | 1 | 0 | |a Advanced mathematics for engineers and physicists |c Sever Angel Popescu, Marilena Jianu |
| 264 | 1 | |a Cham, Switzerland |b Springer Nature |c [2022] | |
| 300 | |a xiv, 828 Seiten |b Diagramme | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 520 | 3 | |a This book is designed to be an introductory course to some basic chapters of Advanced Mathematics for Engineering and Physics students, researchers in different branches of Applied Mathematics and anyone wanting to improve their mathematical knowledge by a clear, live, self-contained and motivated text. Here, one can find different topics, such as differential (first order or higher order) equations, systems of differential equations, Fourier series, Fourier and Laplace transforms, partial differential equations, some basic facts and applications of the calculus of variations and, last but not least, an original and more intuitive introduction to probability theory. All these topics are carefully introduced, with complete proofs, motivations, examples, applications, problems and exercises, which are completely solved at the end of the book. We added a generous supplementary material (11.1) with a self-contained and complete introduction to normed, metric and Hilbert spaces. | |
| 520 | 3 | |a Since we used some topics from complex function theory, we also introduced in Chapter 11 a section (11.2) with the basic facts in this important field. What a reader needs for a complete understanding of this book? For a deep understanding of this book, it is required to take a course in undergraduate calculus and linear algebra. We mostly tried to use the engineering intuition instead of insisting on mathematical tricks. The main feature of the material presented here is its clarity, motivation and the genuine desire of the authors to make extremely transparent the "mysterious" mathematical tools that are used to describe and organize the great variety of impressions that come to the searching mind, from the infinite complexity of Nature. | |
| 520 | 3 | |a The book is recommended not only to engineering and physics students or researchers but also to junior students in mathematics because it shows the connection between pure mathematics and physical phenomena, which always supply motivations for mathematical discoveries. | |
| 650 | 0 | 7 | |a Angewandte Mathematik |0 (DE-588)4142443-8 |2 gnd |9 rswk-swf |
| 653 | 0 | |a Mathematical analysis. | |
| 653 | 0 | |a Probabilities. | |
| 653 | 0 | |a Mathematical optimization. | |
| 653 | 0 | |a Calculus of variations. | |
| 653 | 0 | |a Differential equations. | |
| 689 | 0 | 0 | |a Angewandte Mathematik |0 (DE-588)4142443-8 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Jianu, Marilena |e Verfasser |4 aut | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-034591948 | ||
Datensatz im Suchindex
| _version_ | 1804185847481761792 |
|---|---|
| adam_txt | |
| any_adam_object | |
| any_adam_object_boolean | |
| author | Popescu, Angel Jianu, Marilena |
| author_GND | (DE-588)1114694428 |
| author_facet | Popescu, Angel Jianu, Marilena |
| author_role | aut aut |
| author_sort | Popescu, Angel |
| author_variant | a p ap m j mj |
| building | Verbundindex |
| bvnumber | BV049331201 |
| classification_rvk | SK 950 |
| ctrlnum | (OCoLC)1371292450 (DE-599)KXP1837755043 |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03448nam a2200457 c 4500</leader><controlfield tag="001">BV049331201</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20231106 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">230918s2022 sz |||| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783031215018</subfield><subfield code="9">978-3-031-21501-8</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783031215032</subfield><subfield code="9">978-3-031-21503-2</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783031215049</subfield><subfield code="9">978-3-031-21504-9</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-3-031-21502-5</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1371292450</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)KXP1837755043</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">sz</subfield><subfield code="c">XA-CH</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-83</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">Popescu, Angel</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1114694428</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Advanced mathematics for engineers and physicists</subfield><subfield code="c">Sever Angel Popescu, Marilena Jianu</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cham, Switzerland</subfield><subfield code="b">Springer Nature</subfield><subfield code="c">[2022]</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">xiv, 828 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="520" ind1="3" ind2=" "><subfield code="a">This book is designed to be an introductory course to some basic chapters of Advanced Mathematics for Engineering and Physics students, researchers in different branches of Applied Mathematics and anyone wanting to improve their mathematical knowledge by a clear, live, self-contained and motivated text. Here, one can find different topics, such as differential (first order or higher order) equations, systems of differential equations, Fourier series, Fourier and Laplace transforms, partial differential equations, some basic facts and applications of the calculus of variations and, last but not least, an original and more intuitive introduction to probability theory. All these topics are carefully introduced, with complete proofs, motivations, examples, applications, problems and exercises, which are completely solved at the end of the book. We added a generous supplementary material (11.1) with a self-contained and complete introduction to normed, metric and Hilbert spaces. </subfield></datafield><datafield tag="520" ind1="3" ind2=" "><subfield code="a">Since we used some topics from complex function theory, we also introduced in Chapter 11 a section (11.2) with the basic facts in this important field. What a reader needs for a complete understanding of this book? For a deep understanding of this book, it is required to take a course in undergraduate calculus and linear algebra. We mostly tried to use the engineering intuition instead of insisting on mathematical tricks. The main feature of the material presented here is its clarity, motivation and the genuine desire of the authors to make extremely transparent the "mysterious" mathematical tools that are used to describe and organize the great variety of impressions that come to the searching mind, from the infinite complexity of Nature. </subfield></datafield><datafield tag="520" ind1="3" ind2=" "><subfield code="a">The book is recommended not only to engineering and physics students or researchers but also to junior students in mathematics because it shows the connection between pure mathematics and physical phenomena, which always supply motivations for mathematical discoveries.</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Angewandte Mathematik</subfield><subfield code="0">(DE-588)4142443-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="653" ind1=" " ind2="0"><subfield code="a">Mathematical analysis.</subfield></datafield><datafield tag="653" ind1=" " ind2="0"><subfield code="a">Probabilities.</subfield></datafield><datafield tag="653" ind1=" " ind2="0"><subfield code="a">Mathematical optimization.</subfield></datafield><datafield tag="653" ind1=" " ind2="0"><subfield code="a">Calculus of variations.</subfield></datafield><datafield tag="653" ind1=" " ind2="0"><subfield code="a">Differential equations.</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Angewandte Mathematik</subfield><subfield code="0">(DE-588)4142443-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Jianu, Marilena</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-034591948</subfield></datafield></record></collection> |
| id | DE-604.BV049331201 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T22:45:17Z |
| indexdate | 2024-07-10T10:01:44Z |
| institution | BVB |
| isbn | 9783031215018 9783031215032 9783031215049 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-034591948 |
| oclc_num | 1371292450 |
| open_access_boolean | |
| owner | DE-83 |
| owner_facet | DE-83 |
| physical | xiv, 828 Seiten Diagramme |
| publishDate | 2022 |
| publishDateSearch | 2022 |
| publishDateSort | 2022 |
| publisher | Springer Nature |
| record_format | marc |
| spelling | Popescu, Angel Verfasser (DE-588)1114694428 aut Advanced mathematics for engineers and physicists Sever Angel Popescu, Marilena Jianu Cham, Switzerland Springer Nature [2022] xiv, 828 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier This book is designed to be an introductory course to some basic chapters of Advanced Mathematics for Engineering and Physics students, researchers in different branches of Applied Mathematics and anyone wanting to improve their mathematical knowledge by a clear, live, self-contained and motivated text. Here, one can find different topics, such as differential (first order or higher order) equations, systems of differential equations, Fourier series, Fourier and Laplace transforms, partial differential equations, some basic facts and applications of the calculus of variations and, last but not least, an original and more intuitive introduction to probability theory. All these topics are carefully introduced, with complete proofs, motivations, examples, applications, problems and exercises, which are completely solved at the end of the book. We added a generous supplementary material (11.1) with a self-contained and complete introduction to normed, metric and Hilbert spaces. Since we used some topics from complex function theory, we also introduced in Chapter 11 a section (11.2) with the basic facts in this important field. What a reader needs for a complete understanding of this book? For a deep understanding of this book, it is required to take a course in undergraduate calculus and linear algebra. We mostly tried to use the engineering intuition instead of insisting on mathematical tricks. The main feature of the material presented here is its clarity, motivation and the genuine desire of the authors to make extremely transparent the "mysterious" mathematical tools that are used to describe and organize the great variety of impressions that come to the searching mind, from the infinite complexity of Nature. The book is recommended not only to engineering and physics students or researchers but also to junior students in mathematics because it shows the connection between pure mathematics and physical phenomena, which always supply motivations for mathematical discoveries. Angewandte Mathematik (DE-588)4142443-8 gnd rswk-swf Mathematical analysis. Probabilities. Mathematical optimization. Calculus of variations. Differential equations. Angewandte Mathematik (DE-588)4142443-8 s DE-604 Jianu, Marilena Verfasser aut |
| spellingShingle | Popescu, Angel Jianu, Marilena Advanced mathematics for engineers and physicists Angewandte Mathematik (DE-588)4142443-8 gnd |
| subject_GND | (DE-588)4142443-8 |
| title | Advanced mathematics for engineers and physicists |
| title_auth | Advanced mathematics for engineers and physicists |
| title_exact_search | Advanced mathematics for engineers and physicists |
| title_exact_search_txtP | Advanced mathematics for engineers and physicists |
| title_full | Advanced mathematics for engineers and physicists Sever Angel Popescu, Marilena Jianu |
| title_fullStr | Advanced mathematics for engineers and physicists Sever Angel Popescu, Marilena Jianu |
| title_full_unstemmed | Advanced mathematics for engineers and physicists Sever Angel Popescu, Marilena Jianu |
| title_short | Advanced mathematics for engineers and physicists |
| title_sort | advanced mathematics for engineers and physicists |
| topic | Angewandte Mathematik (DE-588)4142443-8 gnd |
| topic_facet | Angewandte Mathematik |
| work_keys_str_mv | AT popescuangel advancedmathematicsforengineersandphysicists AT jianumarilena advancedmathematicsforengineersandphysicists |