Klientu atbalsts: 27018494

Grāmatu iegāde | Jauns profils | Ienākt

E-grāmata: A MatLabĀ® Companion to Complex Variables

A. David Wunsch (University of Massachusetts Lowell, USA)

Formāts: 360 pages
Sērija : Textbooks in Mathematics
Izdošanas datums: 03-Sep-2018
Izdevniecība: CRC Press Inc
ISBN-13: 9781498755702

Citas grāmatas par šo tēmu:

Formāts - EPUB+DRM
Cena: 86,40 €*
* ši ir gala cena, t.i., netiek piemērotas nekādas papildus atlaides
Ielikt grozā
Pievienot vēlmju sarakstam
Šī e-grāmata paredzēta tikai personīgai lietošanai. E-grāmatas nav iespējams atgriezt un nauda par iegādātajām e-grāmatām netiek atmaksāta.

Formāts: 360 pages
Sērija : Textbooks in Mathematics
Izdošanas datums: 03-Sep-2018
Izdevniecība: CRC Press Inc
ISBN-13: 9781498755702

Citas grāmatas par šo tēmu:

DRM restrictions

Kopēšana (kopēt/ievietot):

nav atļauts
Drukāšana:

nav atļauts
Lietošana:

Digitālo tiesību pārvaldība (Digital Rights Management (DRM))
Izdevējs ir piegādājis šo grāmatu šifrētā veidā, kas nozīmē, ka jums ir jāinstalē bezmaksas programmatūra, lai to atbloķētu un lasītu. Lai lasītu šo e-grāmatu, jums ir jāizveido Adobe ID. Vairāk informācijas šeit. E-grāmatu var lasīt un lejupielādēt līdz 6 ierīcēm (vienam lietotājam ar vienu un to pašu Adobe ID).

Nepieciešamā programmatūra
Lai lasītu šo e-grāmatu mobilajā ierīcē (tālrunī vai planšetdatorā), jums būs jāinstalē šī bezmaksas lietotne: PocketBook Reader (iOS / Android)

Lai lejupielādētu un lasītu šo e-grāmatu datorā vai Mac datorā, jums ir nepieciešamid Adobe Digital Editions (šī ir bezmaksas lietotne, kas īpaši izstrādāta e-grāmatām. Tā nav tas pats, kas Adobe Reader, kas, iespējams, jau ir jūsu datorā.)

Jūs nevarat lasīt šo e-grāmatu, izmantojot Amazon Kindle.

This book is intended for someone learning functions of a complex variable and who enjoys using MATLAB. It will enhance the exprience of learning complex variable theory and will strengthen the knowledge of someone already trained in ths branch of advanced calculus. ABET, the accrediting board for engineering programs, makes it clear that engineering graduates must be skilled in the art of programming in a language such as MATLAB®. Supplying students with a bridge between the functions of complex variable theory and MATLAB, this supplemental text enables instructors to easily add a MATLAB component to their complex variables courses.A MATLAB® Companion to Complex Variables provides readers with a clear understanding of the utility of MATLAB in complex variable calculus. An ideal adjunct to standard texts on the functions of complex variables, the book allows professors to quickly find and assign MATLAB programming problems that will strengthen students knowledge of the language and concepts of complex variable theory.The book shows students how MATLAB can be a powerful learning aid in such staples of complex variable theory as conformal mapping, infinite series, contour integration, and Laplace and Fourier transforms. In addition to MATLAB programming problems, the text includes many examples in each chapter along with MATLAB code.Fractals, the most recent interesting topic involving complex variables, demands to be treated with a language such as MATLAB. This book concludes with a Coda, which is devoted entirely to this visually intriguing subject.MATLAB is not without constraints, limitations, irritations, and quirks, and there are subtleties involved in performing the calculus of complex variable theory with this language. Without knowledge of these subtleties, engineers or scientists attempting to use MATLAB for solutions of practical problems in complex variable theory suffer the risk of making major mistakes. This book serves as an early warning system about these pitfalls.

Acknowledgments

Introduction

xiii

A Note to the Reader

1 Complex Arithmetic

(26)

1.1 The Rectangular Form

(4)

1.1.1 A Caveat on Complex Numbers as Matrix Elements

(1)

Exercises

(1)

1.2 The Polar Form of Complex Numbers

(4)

Exercises

(1)

1.3 Fractional Powers of Complex Numbers

(12)

1.3.1 Using sqrt

(1)

1.3.2 Reminder: A Warning about Square Roots and Fractional Powers in MATLAB

(1)

1.3.3 Use of roots

(3)

1.3.4 A Program to Give You Fractional Roots and to Do a Check

(1)

1.3.5 A Further Caveat with Fractional Powers: The Plot Function

(5)

Exercises

(2)

1.4 Complex Symbolic Algebra

(6)

1.4.1 Numbers as Symbols

(2)

Exercises

(3)

2 Loci and Regions in the Complex Plane and Displaying Complex Functions

(42)

2.1 Meshgrid and Three-Dimensional Plotting

(7)

Exercises

(1)

2.2 Two-Dimensional Plots: The Contour Plot

(5)

Exercises

(1)

2.3 Displaying Regions in the Complex Plane

(6)

2.3.1 A Note on pcolor

(1)

Exercises

(1)

2.4 Three-Dimensional and Contour Plots for Functions with Singularities

(15)

2.4.1 Plots When There Are Isolated Singular Points

(1)

2.4.1.1 Removable Singular Points

(2)

2.4.1.2 Pole Singularities

(4)

2.4.1.3 Essential Singularities

(2)

2.4.1.4 Branch Cut and Branch Point Singularities: Three-Dimensional Plots

(4)

Exercises

(2)

2.5 Contour Plots Affected by Branch Cuts

(9)

Exercises

(3)

3 Sequences, Series, Limits, and Integrals

(44)

3.1 Sequences

(8)

Exercises

(1)

3.2 Infinite Series and Their Convergence

(16)

3.2.1 Using MATLAB to Obtain the Series Coefficients

(2)

3.2.2 Laurent Series

(6)

Exercises

(3)

3.3 Integration in the Complex Plane: Part 1, Finite Sums as Approximations

(7)

Exercises

(2)

3.4 Integrations in the Complex Plane: Part 2, int and quadgk

100

(13)

3.4.1 Integration in the Complex Plane with MATLAB

104

(1)

3.4.2 Waypoints

105

(2)

Exercises

107

(6)

4 Harmonic Functions, Conformal Mapping, and Some Applications

113

(82)

4.1 Introduction

113

(14)

Exercises

125

(2)

4.2 The Bilinear Transformation

127

(11)

4.2.1 The Cross-Ratio

131

(4)

Exercises

135

(3)

4.3 Laplace's Equation, Harmonic Functions: Voltage, Temperature, and Fluid Flow

138

(14)

Exercises

150

(2)

4.4 Complex Potentials, Cauchy-Riemann Equations, the Stream Function, and Streamlines

152

(10)

4.4.1 Cauchy-Riemann Equations

152

(8)

Exercises

160

(2)

4.5 Mapping, Dirichlet, and Neumann Problems and Line Sources

162

(33)

4.5.1 Dirichlet Problems

162

(7)

4.5.2 A Dirichlet Problem

169

(4)

4.5.3 A Neumann Problem

173

(3)

4.5.4 Line Sources and Conformal Mapping

176

(6)

Exercises

182

(13)

5 Polynomials, Roots, the Principle of the Argument, and Nyquist Stability

195

(40)

5.1 Introduction

195

(1)

5.2 The Fundamental Theorem of Algebra

195

(13)

5.2.1 MATLAB roots

196

(4)

5.2.2 Use of Zeros

200

(1)

5.2.3 Roots versus Factor

201

(1)

5.2.4 Derivatives of Polynomials and the Function Roots

202

(3)

Exercises

205

(3)

5.3 The Principle of the Argument

208

(15)

5.3.1 Rouche's Theorem

219

(2)

Exercises

221

(2)

5.4 Nyquist Plots, the Location of Roots, and the Pole-Zero Map

223

(12)

5.4.1 The Use of pzmap

230

(1)

5.4.2 A Caveat on the Use of pzmap

231

(2)

Exercises

233

(2)

6 Transforms: Laplace, Fourier, Z, and Hilbert

235

(74)

6.1 Introduction

235

(1)

6.2 The Laplace Transform

235

(22)

6.2.1 Branch Points and Branch Cuts in the Laplace Transform

239

(1)

6.2.2 Heaviside and Dirac Delta Functions

240

(6)

6.2.3 The Inverse Laplace Transform

246

(5)

Exercises

251

(6)

6.3 The Fourier Transform

257

(14)

6.3.1 Changing Variables: Fourier to Laplace and Vice Versa

266

(1)

6.3.2 Convolution of Functions

267

(2)

Exercises

269

(2)

6.4 The Z Transform

271

(28)

6.4.1 The Z Transform of a Product

290

(3)

6.4.2 Inverse Z Transform of a Product and Convolutions

293

(2)

Exercises

295

(4)

6.5 The Hilbert Transform

299

(10)

6.5.1 Definition

300

(6)

Exercises

306

(3)

7 Coda: Fractals and the Mandelbrot Set

309

(17)

7.1 Julia Sets

323

(3)

Appendices to Coda

326

(9)

Appendix A

326

(2)

Appendix B

328

(1)

Appendix C

329

(6)

Exercises

330

(5)

Index

335

A. David Wunsch is Professor Emeritus of Electrical and Computer Engineering at the University of Massachusetts Lowell, USA. He earned his PhD from Harvard University and is the author of the textbook Complex Variables with Applications, published by AddisonWesley/Pearson. The book is currently in its third edition and has been continuously in print since 1983. It is one of the most popular textbooks on the subject.

Biežāk uzdotie jautājumi par e-grāmatām