Handbook of Differential Equations
, by ZwillingerNote: Supplemental materials are not guaranteed with Rental or Used book purchases.
- ISBN: 9780127843964 | 0127843965
- Cover: Hardcover
- Copyright: 3/4/2022
This book and CD-ROM compile the most widely applicable methods for solving and approximating differential equations. The CD-ROM provides convenient access to these methods through electronic search capabilities, andtogether the book and CD-ROM contain numerous examples showing the methods use. Topics include ordinary differential equations, symplectic integration of differential equations, and the use of wavelets when numerically solving differential equations. * For nearly every technique, the book and CD-ROM provide: * The types of equations to which the method is applicable * The idea behind the method * The procedure for carrying out the method * At least one simple example of the method * Any cautions that should be exercised * Notes for more advanced users * References to the literature for more discussion or more examples, including pointers to electronic resources, such as URLs
Preface | xiv | (2) | |||
Introduction | xvi | (2) | |||
Introduction to the Electronic Version | xviii | (1) | |||
How to Use This Book | xix | ||||
I.A Definitions and Concepts | 1 | (114) | |||
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1 | (12) | |||
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13 | (3) | |||
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16 | (8) | |||
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24 | (2) | |||
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26 | (7) | |||
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33 | (6) | |||
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39 | (4) | |||
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43 | (3) | |||
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46 | (3) | |||
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49 | (5) | |||
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54 | (2) | |||
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56 | (4) | |||
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60 | (6) | |||
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66 | (3) | |||
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69 | (3) | |||
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72 | (4) | |||
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76 | (2) | |||
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78 | (5) | |||
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83 | (3) | |||
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86 | (6) | |||
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92 | (2) | |||
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94 | (5) | |||
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97 | (2) | |||
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99 | (5) | |||
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104 | (4) | |||
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108 | (3) | |||
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111 | (4) | |||
I.B Transformations | 115 | (46) | |||
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115 | (3) | |||
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118 | (3) | |||
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121 | (4) | |||
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125 | (2) | |||
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127 | (3) | |||
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130 | (1) | |||
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131 | (2) | |||
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133 | (2) | |||
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135 | (2) | |||
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137 | (4) | |||
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141 | (2) | |||
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143 | (3) | |||
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146 | (3) | |||
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149 | (2) | |||
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151 | (5) | |||
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156 | (5) | |||
II Exact Analytical Methods | 161 | (302) | |||
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161 | (1) | |||
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162 | (39) | |||
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163 | (9) | |||
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163 | (1) | |||
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164 | (7) | |||
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171 | (1) | |||
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172 | (10) | |||
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172 | (2) | |||
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174 | (2) | |||
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176 | (6) | |||
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182 | (5) | |||
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182 | (1) | |||
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183 | (4) | |||
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187 | (1) | |||
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188 | (13) | |||
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201 | (4) | |||
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202 | (1) | |||
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203 | (1) | |||
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203 | (1) | |||
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203 | (1) | |||
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203 | (1) | |||
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203 | (2) | |||
II.A Exact Methods for ODEs | 205 | (182) | |||
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205 | (2) | |||
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207 | (3) | |||
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210 | (4) | |||
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214 | (2) | |||
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216 | (2) | |||
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218 | (7) | |||
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225 | (2) | |||
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227 | (3) | |||
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230 | (7) | |||
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237 | (2) | |||
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239 | (1) | |||
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240 | (3) | |||
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243 | (7) | |||
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250 | (3) | |||
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253 | (3) | |||
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256 | (2) | |||
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258 | (2) | |||
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260 | (3) | |||
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263 | (2) | |||
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265 | (1) | |||
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266 | (6) | |||
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272 | (3) | |||
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275 | (4) | |||
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279 | (3) | |||
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282 | (3) | |||
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285 | (3) | |||
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288 | (9) | |||
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297 | (2) | |||
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299 | (4) | |||
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303 | (1) | |||
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304 | (5) | |||
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309 | (5) | |||
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314 | (8) | |||
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322 | (4) | |||
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326 | (2) | |||
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328 | (3) | |||
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331 | (13) | |||
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344 | (4) | |||
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348 | (4) | |||
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352 | (2) | |||
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354 | (3) | |||
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357 | (3) | |||
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360 | (3) | |||
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363 | (1) | |||
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364 | (6) | |||
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370 | (1) | |||
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371 | (2) | |||
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373 | (2) | |||
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375 | (3) | |||
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378 | (3) | |||
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381 | (6) | |||
II.B Exact Methods for PDEs | 387 | (76) | |||
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387 | (3) | |||
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390 | (6) | |||
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396 | (3) | |||
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399 | (4) | |||
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403 | (3) | |||
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406 | (2) | |||
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408 | (3) | |||
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411 | (1) | |||
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412 | (4) | |||
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416 | (3) | |||
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419 | (3) | |||
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422 | (4) | |||
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426 | (7) | |||
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433 | (3) | |||
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436 | (5) | |||
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441 | (6) | |||
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447 | (3) | |||
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450 | (4) | |||
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454 | (3) | |||
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457 | (6) | |||
III Approximate Analytical Methods | 463 | (124) | |||
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463 | (1) | |||
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464 | (3) | |||
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467 | (2) | |||
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469 | (2) | |||
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471 | (3) | |||
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474 | (3) | |||
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477 | (6) | |||
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483 | (3) | |||
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486 | (3) | |||
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489 | (4) | |||
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493 | (3) | |||
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496 | (3) | |||
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499 | (2) | |||
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501 | (3) | |||
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504 | (5) | |||
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509 | (5) | |||
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514 | (2) | |||
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516 | (4) | |||
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520 | (2) | |||
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522 | (2) | |||
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524 | (4) | |||
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528 | (3) | |||
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531 | (4) | |||
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535 | (7) | |||
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542 | (7) | |||
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549 | (4) | |||
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553 | (3) | |||
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556 | (4) | |||
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560 | (2) | |||
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562 | (2) | |||
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564 | (3) | |||
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567 | (2) | |||
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569 | (3) | |||
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572 | (3) | |||
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575 | (3) | |||
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578 | (3) | |||
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581 | (6) | |||
IV.A Numerical Methods: Concepts | 587 | (44) | |||
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587 | (2) | |||
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589 | (3) | |||
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592 | (7) | |||
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599 | (8) | |||
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600 | (1) | |||
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601 | (1) | |||
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601 | (1) | |||
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602 | (1) | |||
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603 | (1) | |||
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604 | (1) | |||
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604 | (1) | |||
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604 | (1) | |||
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605 | (2) | |||
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607 | (4) | |||
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611 | (4) | |||
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615 | (3) | |||
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618 | (5) | |||
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623 | (3) | |||
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626 | (1) | |||
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627 | (4) | |||
IV.B Numerical Methods for ODEs | 631 | (86) | |||
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631 | (3) | |||
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634 | (4) | |||
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638 | (3) | |||
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641 | (3) | |||
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644 | (3) | |||
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647 | (3) | |||
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650 | (5) | |||
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655 | (4) | |||
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659 | (4) | |||
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663 | (10) | |||
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673 | (2) | |||
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675 | (5) | |||
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680 | (2) | |||
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682 | (4) | |||
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686 | (4) | |||
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690 | (7) | |||
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697 | (5) | |||
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702 | (4) | |||
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706 | (4) | |||
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710 | (2) | |||
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712 | (5) | |||
IV.C Numerical Methods for PDEs | 717 | (60) | |||
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717 | (4) | |||
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721 | (3) | |||
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724 | (5) | |||
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729 | (4) | |||
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733 | (6) | |||
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739 | (3) | |||
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742 | (4) | |||
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746 | (4) | |||
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750 | (2) | |||
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752 | (4) | |||
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756 | (4) | |||
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760 | (5) | |||
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765 | (6) | |||
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771 | (6) | |||
Mathematical Nomenclature | 777 | (2) | |||
Differential Equation Index | 779 | (6) | |||
Index | 785 |
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The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.