Availability: Introduction to differential equations | Technische Universität München

Introduction to differential equations:

Saved in:

Bibliographic Details
Main Author:	Taylor, Michael Eugene 1946- (Author)
Format:	Book
Language:	English
Published:	Providence, Rhode Island, USA AMS American Mathematical Society [2022]
Edition:	Second edition
Series:	Pure and applied undergraduate texts 52
Subjects:	Gewöhnliche Differentialgleichung Differential equations Ordinary differential equations > Instructional exposition (textbooks, tutorial papers, etc.) Ordinary differential equations > General theory > Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions Ordinary differential equations > General theory > Linear equations and systems, general Ordinary differential equations > General theory > Nonlinear equations and systems, general
Links:	https://zbmath.org/?q=an%3A1236.34001 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=033031106&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Abstract:	"The pdf contains a draft title page, draft copyright page and a draft manuscript"--
Item Description:	Includes bibliographical references and index
Physical Description:	xiv, 388 Seiten Illustrationen
ISBN:	9781470467623

Staff View

MARC


LEADER	00000nam a2200000 cb4500
001	BV047646950
003	DE-604
005	20230426
007	t\|
008	211217s2022 xxua\|\|\| \|\|\|\| 00\|\|\| eng d
020			\|a 9781470467623 \|q paperback \|9 978-1-4704-6762-3
035			\|a (OCoLC)1302321853
035			\|a (DE-599)KXP176282969X
040			\|a DE-604 \|b ger \|e rda
041	0		\|a eng
044			\|a xxu \|c XD-US
049			\|a DE-91G \|a DE-19 \|a DE-739
050		0	\|a QA372
082	0		\|a 515/.35
084			\|a SK 500 \|0 (DE-625)143243: \|2 rvk
084			\|a MAT 340 \|2 stub
100	1		\|a Taylor, Michael Eugene \|d 1946- \|e Verfasser \|0 (DE-588)123980119 \|4 aut
245	1	0	\|a Introduction to differential equations \|c Michael E. Taylor
250			\|a Second edition
264		1	\|a Providence, Rhode Island, USA \|b AMS American Mathematical Society \|c [2022]
300			\|a xiv, 388 Seiten \|b Illustrationen
336			\|b txt \|2 rdacontent
337			\|b n \|2 rdamedia
338			\|b nc \|2 rdacarrier
490	1		\|a Pure and applied undergraduate texts \|v 52
500			\|a Includes bibliographical references and index
520	3		\|a "The pdf contains a draft title page, draft copyright page and a draft manuscript"--
650	0	7	\|a Gewöhnliche Differentialgleichung \|0 (DE-588)4020929-5 \|2 gnd \|9 rswk-swf
653		0	\|a Differential equations
653		0	\|a Ordinary differential equations -- Instructional exposition (textbooks, tutorial papers, etc.)
653		0	\|a Ordinary differential equations -- General theory -- Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions
653		0	\|a Ordinary differential equations -- General theory -- Linear equations and systems, general
653		0	\|a Ordinary differential equations -- General theory -- Nonlinear equations and systems, general
689	0	0	\|a Gewöhnliche Differentialgleichung \|0 (DE-588)4020929-5 \|D s
689	0		\|5 DE-604
776	0	8	\|i Erscheint auch als \|n Online-Ausgabe \|z 978-1-4704-6772-2 \|c ebook
830		0	\|a Pure and applied undergraduate texts \|v 52 \|w (DE-604)BV035489189 \|9 52
856	4	2	\|u https://zbmath.org/?q=an%3A1236.34001 \|y zbMATH \|3 Rezension
856	4	2	\|m Digitalisierung UB Passau - ADAM Catalogue Enrichment \|q application/pdf \|u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=033031106&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA \|3 Inhaltsverzeichnis
943	1		\|a oai:aleph.bib-bvb.de:BVB01-033031106

Record in the Search Index

DE-BY-TUM_call_number	0102 MAT 001 2001 B 939-52 0202 MAT 340 2022 B 534(2)
DE-BY-TUM_katkey	2602868
DE-BY-TUM_location	01 02
DE-BY-TUM_media_number	040009532769 040008584485
_version_	1821935752048541696
adam_text	Contents Preface ix Some basic notation Chapter 1. Single differential equations 1.1. The exponential and trigonometric functions xiii 1 3 Exercises 1.2. First order linear equations 9 13 Exercises 16 1.3. 17 Separable equations Exercises 21 1.4. Second order equations-reducible cases Exercises 21 23 1.5. Newton’s equations for motion in onedimension 23 Exercises 26 1.6. The pendulum Exercises 27 34 1.7. 35 Motion with resistance Exercises 1.8. Linearization 36 37 Exercises 1.9. Second order constant-coefficient linear equations-homogeneous 38 38 Exercises 43 1.10. Nonhomogeneous equations I-undetermined coefficients Exercises 1.11. Forced pendulum-resonance 44 48 49 v Contents vi Exercises 1.12. Spring motion 51 52 Exercises 1.13. RLC circuits Exercises 1.14. Nonhomogeneous equations Il-variation of parameters 53 53 56 56 Exercises 58 1.15. Variable coefficient second orderequations Exercises 59 61 1.16. Bessel’s equation Exercises 1.17. Higher order linear equations Exercises 1.18. The Laplace transform Exercises 62 67 68 69 70 77 l.A. The genesis of Bessel’s equation:PDE in polar coordinates 78 l.B. Euler’s gamma function 80 l.C. Differentiating power series Chapter 2. Linear algebra 2.1. Vector spaces 82 87 88 Exercises 89 2.2. Linear transformations and matrices Exercises 90 93 2.3. Basis and dimension Exercises 94 98 2.4. Matrix representation of a linear transformation Exercises 99 101 2.5. Determinants and invertibility Exercises 102 107 2.6. Eigenvalues and eigenvectors Exercises 110 111 2.7. Generalized eigenvectors and theminimal polynomial Exercises 112 117 2.8. Triangular matrices Exercises 118 120 2.9. Inner products and norms Exercises 121 125 2.10. Norm, trace, and adjoint of a linear transformation 126 Contents vii Exercises 2.11. Self-adjoint and skew-adjoint transformations 128 129 Exercises 2.12. Unitary and orthogonal transformations Exercises 2.A. The Jordan canonical form 2.B. Schur’s upper triangular representation 2.C. The fundamental theorem of algebra 131 132 135 138 139 140 Chapter 3. Linear systems of differential equations 3.1. The matrix exponential Exercises 3.2. Exponentials and trigonometric functions 143 144 150 153 Exercises 3.3. First order systems derived from higher order equations Exercises 3.4. Nonhomogeneous equations and Duhamel’s formula Exercises 3.5. Simple electrical circuits Exercises 3.6. Second order systems Exercises 155 156 158 158 160 161 165 166 171 3.7. Curves in R3 and the Frenet-Serret equations Exercises 3.8. Variable coefficient systems Exercises 3.9. Variation of parameters and Duhamel’s formula Exercises 3.10. Power series expansions Exercises 3.11. Regular singular points Exercises 3.A. Logarithms of matrices 3.B. The matrix Laplace transform 3.C. Complex analytic functions 172 177 178 182 184 186 186 193 194 204 206 207 210 Chapter 4. Nonlinear systems of differential equations 4.1. Existence and uniqueness of solutions Exercises 4.2. Dependence of solutions on initial data andother parameters 213 215 221 224 viii Contents Exercises 4.3. Vector fields, orbits, and flows Exercises 4.4. Gradient vector fields Exercises 4.5. Newtonian equations 227 228 242 245 251 251 Exercises 4.6. Central force problems and two-body planetary motion Exercises 4.7. Variational problems and the stationary action principle 255 256 262 264 Exercises 4.8. The brachistochrone problem Exercises 4.9. The double pendulum Exercises 4.10. Momentum-quadratic Hamiltonian systems Exercises 4.11. Numerical study-difference schemes Exercises 4.12. Limit sets and periodic orbits Exercises 4.13. Predator-prey equations Exercises 4.14. Competing species equations Exercises 4.15. Chaos in multidimensional systems Exercises 4.A. The derivative in several variables 4.B. Convergence, compactness, and continuity 4.C. Critical points that are saddles 4.D. Blown up phase portrait at a critical point 4.E. Periodic solutions of x + x = εψ^χ) 4.F. A dram of potential theory 4.G. Brouwer’s fixed-point theorem 269 274 278 278 282 282 286 287 294 295 304 306 316 320 324 326 336 337 340 343 352 358 364 366 4.H. Geodesic equations on surfaces 4.1. Rigid body motion in Rn and geodesics on SO{n) 368 371 Bibliography 381 Index 385
any_adam_object	1
author	Taylor, Michael Eugene 1946-
author_GND	(DE-588)123980119
author_facet	Taylor, Michael Eugene 1946-
author_role	aut
author_sort	Taylor, Michael Eugene 1946-
author_variant	m e t me met
building	Verbundindex
bvnumber	BV047646950
callnumber-first	Q - Science
callnumber-label	QA372
callnumber-raw	QA372
callnumber-search	QA372
callnumber-sort	QA 3372
callnumber-subject	QA - Mathematics
classification_rvk	SK 500
classification_tum	MAT 340
ctrlnum	(OCoLC)1302321853 (DE-599)KXP176282969X
dewey-full	515/.35
dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	515 - Analysis
dewey-raw	515/.35
dewey-search	515/.35
dewey-sort	3515 235
dewey-tens	510 - Mathematics
discipline	Mathematik
edition	Second edition
format	Book
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02452nam a2200505 cb4500</leader><controlfield tag="001">BV047646950</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20230426 </controlfield><controlfield tag="007">t\|</controlfield><controlfield tag="008">211217s2022 xxua\|\|\| \|\|\|\| 00\|\|\| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781470467623</subfield><subfield code="q">paperback</subfield><subfield code="9">978-1-4704-6762-3</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1302321853</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)KXP176282969X</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">xxu</subfield><subfield code="c">XD-US</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91G</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-739</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA372</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515/.35</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 500</subfield><subfield code="0">(DE-625)143243:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 340</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Taylor, Michael Eugene</subfield><subfield code="d">1946-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)123980119</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Introduction to differential equations</subfield><subfield code="c">Michael E. Taylor</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">Second edition</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Providence, Rhode Island, USA</subfield><subfield code="b">AMS American Mathematical Society</subfield><subfield code="c">[2022]</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">xiv, 388 Seiten</subfield><subfield code="b">Illustrationen</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="1" ind2=" "><subfield code="a">Pure and applied undergraduate texts</subfield><subfield code="v">52</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references and index</subfield></datafield><datafield tag="520" ind1="3" ind2=" "><subfield code="a">"The pdf contains a draft title page, draft copyright page and a draft manuscript"--</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Gewöhnliche Differentialgleichung</subfield><subfield code="0">(DE-588)4020929-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="653" ind1=" " ind2="0"><subfield code="a">Differential equations</subfield></datafield><datafield tag="653" ind1=" " ind2="0"><subfield code="a">Ordinary differential equations -- Instructional exposition (textbooks, tutorial papers, etc.)</subfield></datafield><datafield tag="653" ind1=" " ind2="0"><subfield code="a">Ordinary differential equations -- General theory -- Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions</subfield></datafield><datafield tag="653" ind1=" " ind2="0"><subfield code="a">Ordinary differential equations -- General theory -- Linear equations and systems, general</subfield></datafield><datafield tag="653" ind1=" " ind2="0"><subfield code="a">Ordinary differential equations -- General theory -- Nonlinear equations and systems, general</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Gewöhnliche Differentialgleichung</subfield><subfield code="0">(DE-588)4020929-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe</subfield><subfield code="z">978-1-4704-6772-2</subfield><subfield code="c">ebook</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Pure and applied undergraduate texts</subfield><subfield code="v">52</subfield><subfield code="w">(DE-604)BV035489189</subfield><subfield code="9">52</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="u">https://zbmath.org/?q=an%3A1236.34001</subfield><subfield code="y">zbMATH</subfield><subfield code="3">Rezension</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Passau - ADAM Catalogue Enrichment</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=033031106&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-033031106</subfield></datafield></record></collection>
id	DE-604.BV047646950
illustrated	Illustrated
indexdate	2024-12-20T19:25:07Z
institution	BVB
isbn	9781470467623
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-033031106
oclc_num	1302321853
open_access_boolean
owner	DE-91G DE-BY-TUM DE-19 DE-BY-UBM DE-739
owner_facet	DE-91G DE-BY-TUM DE-19 DE-BY-UBM DE-739
physical	xiv, 388 Seiten Illustrationen
publishDate	2022
publishDateSearch	2022
publishDateSort	2022
publisher	AMS American Mathematical Society
record_format	marc
series	Pure and applied undergraduate texts
series2	Pure and applied undergraduate texts
spellingShingle	Taylor, Michael Eugene 1946- Introduction to differential equations Pure and applied undergraduate texts Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd
subject_GND	(DE-588)4020929-5
title	Introduction to differential equations
title_auth	Introduction to differential equations
title_exact_search	Introduction to differential equations
title_full	Introduction to differential equations Michael E. Taylor
title_fullStr	Introduction to differential equations Michael E. Taylor
title_full_unstemmed	Introduction to differential equations Michael E. Taylor
title_short	Introduction to differential equations
title_sort	introduction to differential equations
topic	Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd
topic_facet	Gewöhnliche Differentialgleichung
url	https://zbmath.org/?q=an%3A1236.34001 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=033031106&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV035489189
work_keys_str_mv	AT taylormichaeleugene introductiontodifferentialequations

Availability

Order (Login required)

Table of Contents
Order paper/chapter scan

Branch Library Mathematics & Informatics

Holdings details from Teilbibliothek Mathematik & Informatik
Call Number:	0102 MAT 001 2001 B 939-52 Floor plan
Copy 1	Available for loan On Shelf

Branch Library Physics

Holdings details from Teilbibliothek Physik
Call Number:	0202 MAT 340 2022 B 534(2) Floor plan
Copy 1	Available for loan On Shelf