MATHEMATICAL ANALYSIS FOR ENGINEERS

By: DACOROGNA BERNARD

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Hardcover | 26 June 2012

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374 Pages

Dimensions(cm)
22.86 x 15.24 x 2.24

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This book follows an advanced course in analysis (vector analysis, complex analysis and Fourier analysis) for engineering students, but can also be useful, as a complement to a more theoretical course, to mathematics and physics students.The first three parts of the book represent the theoretical aspect and are independent of each other. The fourth part gives detailed solutions to all exercises that are proposed in the first three parts.ForewordForeword (71 KB)

Industry Reviews

Undergraduate students will benefit much from this book as a self-study at their own pace to learn and master Analysis. Starred exercises give deeper understanding of concepts. The book is very well-organised, clearly written and well presented for the targeted students and faculty for tutorial adoption but does no have enough material for a main text. -- Professor B.K.Sahu "Department of Earth Sciences, Indian Institute of Technology, India"

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Foreword	p. ix
Vector analysis	p. 1
Differential operators of mathematical physics	p. 3
Definitions and theoretical results	p. 3
Examples	p. 5
Exercises	p. 7
Line integrals	p. 9
Definitions and theoretical results	p. 9
Examples	p. 10
Exercises	p. 11
Gradient vector fields	p. 13
Definitions and theoretical results	p. 13
Examples	p. 14
Exercises	p. 18
Green theorem	p. 21
Definitions and theoretical results	p. 21
Examples	p. 23
Exercises	p. 24
Surface integrals	p. 27
Definitions and theoretical results	p. 27
Examples	p. 29
Exercises	p. 31
Divergence theorem	p. 33
Definitions and theoretical results	p. 33
Examples	p. 34
Exercises	p. 37
Stokes theorem	p. 39
Definitions and theoretical results	p. 39
Examples	p. 41
Exercises	p. 43
Appendix	p. 45
Some notations and notions of topology	p. 45
Some notations for functional spaces	p. 49
Curves	p. 50
Surfaces	p. 52
Change of variables	p. 64
Complex analysis	p. 67
Holomorphic functions and Cauchy-Riemann equations	p. 69
Definitions and theoretical results	p. 69
Examples	p. 71
Exercises	p. 74
Complex integration	p. 77
Definitions and theoretical results	p. 77
Examples	p. 78
Exercises	p. 79
Laurent series	p. 83
Definitions and theoretical results	p. 83
Examples	p. 86
Exercises	p. 88
Residue theorem and applications	p. 91
Part I	p. 91
Definitions and theoretical results	p. 91
Examples	p. 92
Part II: Evaluation of real integrals	p. 93
Exercises	p. 97
Conformal mapping	p. 101
Definitions and theoretical results	p. 101
Examples	p. 102
Exercises	p. 104
Fourier analysis	p. 107
Fourier series	p. 109
Definitions and theoretical results	p. 109
Examples	p. 113
Exercises	p. 116
Fourier transform	p. 121
Definitions and theoretical results	p. 121
Examples	p. 123
Exercises	p. 125
Laplace transform	p. 127
Definitions and theoretical results	p. 127
Examples	p. 129
Exercises	p. 132
Applications to ordinary differential equations	p. 135
Cauchy problem	p. 135
Sturm-Liouville problem	p. 137
Some other examples solved by Fourier analysis	p. 140
Exercises	p. 143
Applications to partial differential equations	p. 145
Heat equation	p. 145
Wave equation	p. 150
Laplace equation in a rectangle	p. 152
Laplace equation in a disk	p. 155
Laplace equation in a simply connected domain	p. 159
Exercises	p. 162
Solutions to the exercises	p. 167
Differential operators of mathematical physics	p. 169
Line integrals	p. 177
Gradient vector fields	p. 181
Green theorem	p. 189
Surface integrals	p. 199
Divergence theorem	p. 203
Stokes theorem	p. 219
Holomorphic functions and Cauchy-Riemann equations	p. 233
Complex integration	p. 239
Laurent series	p. 247
Residue theorem and applications	p. 263
Conformal mapping	p. 277
Fourier series	p. 291
Fourier transform	p. 303
Laplace transform	p. 309
Applications to ordinary differential equations	p. 317
Applications to partial differential equations	p. 331
Bibliography	p. 353
Table of Fourier Transform	p. 355
Table of Laplace Transform	p. 356
Index	p. 357
Table of Contents provided by Ingram. All Rights Reserved.

MATHEMATICAL ANALYSIS FOR ENGINEERS

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

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