Student solutions manual for differential equations:
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Pacific Grove [u.a.]
Brooks-Cole
1998
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Erg. zu: Blanchard, Paul: Differential equations |
| Physical Description: | IV, 242 S. graph. Darst. |
| ISBN: | 0534352537 |
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MARC
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| 245 | 1 | 0 | |a Student solutions manual for differential equations |c Paul Blanchard ; Robert L. Devaney ; Glen R. Hall |
| 264 | 1 | |a Pacific Grove [u.a.] |b Brooks-Cole |c 1998 | |
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Record in the Search Index
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| adam_text | STUDENT SOLUTIONS MANUAL FOR DIFFERENTIAL EQUATIONS PAUL BLANCHARD
BOSTON UNIVERSITY ROBERT L. DEVANEY BOSTON UNIVERSITY GLEN R. HALL
BOSTON UNIVERSITY SUB GOTTINGEN 216611 717 BROOKS/COLE PUBLISHING
COMPANY 3 AN INTERNATIONAL THOMSON PUBLISHING COMPANY PACIFIC GROVE *
ALBANY * BELMONT * BONN * BOSTON * CINCINNATI * DETROIT * JOHANNESBURG *
LONDON MADRID * MELBOURNE * MEXICO CITY * NEW YORK * PARIS * SINGAPORE *
TOKYO * TORONTO * WASHINGTON CONTENTS 1 FIRST-ORDER DIFFERENTIAL
EQUATIONS 1 1.1 MODELING VIA DIFFERENTIAL EQUATIONS 2 1.2 ANALYTIC
TECHNIQUE: SEPARATION OF VARIABLES 5 1.3 QUALITATIVE TECHNIQUE: SLOPE
FIELDS 13 1.4 NUMERICAL TECHNIQUE: EULER S METHOD 16 1.5 EXISTENCE AND
UNIQUENESS OF SOLUTIONS 19 1.6 EQUILIBRIA AND THE PHASE LINE 21 1.7
BIFURCATIONS 25 1.8 LINEAR DIFFERENTIAL EQUATIONS 29 1.9 CHANGING
VARIABLES 37 2 FIRST-ORDER SYSTEMS 45 2.1 MODELING VIA SYSTEMS 46 2.2
THE GEOMETRY OF SYSTEMS 48 2.3 ANALYTIC METHODS FOR SPECIAL SYSTEMS 52
2.4 EULER S METHOD FOR SYSTEMS 57 2.5 THE LORENZ EQUATIONS 59 3 LINEAR
SYSTEMS 63 3.1 PROPERTIES OF LINEAR SYSTEMS AND THE LINEARITY PRINCIPLE
64 3.2 STRAIGHT-LINE SOLUTIONS 69 3.3 PHASE PLANES FOR LINEAR SYSTEMS
WITH REAL EIGENVALUES 80 3.4 COMPLEX EIGENVALUES 91 3.5 SPECIAL CASES:
REPEATED AND ZERO EIGENVALUES 97 3.6 SECOND-ORDER LINEAR EQUATIONS 106
3.7 THE TRACE-DETERMINANT PLANE 114 3.8 LINEAR SYSTEMS IN THREE
DIMENSIONS 117 4 FORCING AND RESONANCE 125 4.1 FORCED HARMONIC
OSCILLATORS 126 4.2 SINUSOIDAL FORCING 137 4.3 UNDAMPED FORCING AND
RESONANCE 142 4.4 AMPLITUDE AND PHASE OF THE STEADY STATE 147 4.5 THE
TACOMA NARROWS BRIDGE 148 III IV CONTENTS 5 NONLINEAR SYSTEMS 151 5.1
EQUILIBRIUM POINT ANALYSIS 152 5.2 QUALITATIVE ANALYSIS 163 5.3
HAMILTONIAN SYSTEMS 168 5.4 DISSIPATIVE SYSTEMS 172 5.5 NONLINEAR
SYSTEMS IN THREE DIMENSIONS 177 5.6 PERIODIC FORCING OF NONLINEAR
SYSTEMS AND CHAOS 179 6 LAPLACE TRANSFORMS 181 6.1 LAPLACE TRANSFORMS
182 6.2 DISCONTINUOUS FUNCTIONS 188 6.3 SECOND-ORDER EQUATIONS 195 6.4
DELTA FUNCTIONS AND IMPULSE FORCING 202 6.5 CONVOLUTIONS 203 6.6 THE
QUALITATIVE THEORY OF LAPLACE TRANSFORMS 207 7 NUMERICAL METHODS 211 7.1
NUMERICAL ERROR IN EULER S METHOD 212 7.2 IMPROVING EULER S METHOD 220
7.3 THE RUNGE-KUTTA METHOD 223 7.4 THE EFFECTS OF FINITE ARITHMETIC 225
8 DISCRETE DYNAMICAL SYSTEMS 227 8.1 THE DISCRETE LOGISTIC EQUATION 228
8.2 FIXED POINTS AND PERIODIC POINTS 230 8.3 BIFURCATIONS 233 8.4 CHAOS
234 APPENDICES 237 A FIRST-ORDER LINEAR EQUATIONS REVISITED 238
|
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| indexdate | 2024-07-09T18:35:27Z |
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| isbn | 0534352537 |
| language | English |
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| physical | IV, 242 S. graph. Darst. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Brooks-Cole |
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| spelling | Blanchard, Paul Verfasser aut Student solutions manual for differential equations Paul Blanchard ; Robert L. Devaney ; Glen R. Hall Pacific Grove [u.a.] Brooks-Cole 1998 IV, 242 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Erg. zu: Blanchard, Paul: Differential equations Differential equations Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 gnd rswk-swf (DE-588)4143389-0 Aufgabensammlung gnd-content Differentialgleichung (DE-588)4012249-9 s DE-604 Gewöhnliche Differentialgleichung (DE-588)4020929-5 s Devaney, Robert L. Verfasser aut Hall, Glen R. Verfasser aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008770645&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Blanchard, Paul Devaney, Robert L. Hall, Glen R. Student solutions manual for differential equations Differential equations Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd Differentialgleichung (DE-588)4012249-9 gnd |
| subject_GND | (DE-588)4020929-5 (DE-588)4012249-9 (DE-588)4143389-0 |
| title | Student solutions manual for differential equations |
| title_auth | Student solutions manual for differential equations |
| title_exact_search | Student solutions manual for differential equations |
| title_full | Student solutions manual for differential equations Paul Blanchard ; Robert L. Devaney ; Glen R. Hall |
| title_fullStr | Student solutions manual for differential equations Paul Blanchard ; Robert L. Devaney ; Glen R. Hall |
| title_full_unstemmed | Student solutions manual for differential equations Paul Blanchard ; Robert L. Devaney ; Glen R. Hall |
| title_short | Student solutions manual for differential equations |
| title_sort | student solutions manual for differential equations |
| topic | Differential equations Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd Differentialgleichung (DE-588)4012249-9 gnd |
| topic_facet | Differential equations Gewöhnliche Differentialgleichung Differentialgleichung Aufgabensammlung |
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