Advanced Engineering Mathematics, Student Solutions Manual / Edition 1

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More About This Textbook

Overview

Advanced Engineering Mathematics provides comprehensive and contemporary coverage of key mathematical ideas, techniques, and their widespread applications, for students majoring in engineering, computer science, mathematics and physics. Using a wide range of examples throughout the book, Jeffrey illustrates how to construct simple mathematical models, how to apply mathematical reasoning to select a particular solution from a range of possible alternatives, and how to determine which solution has physical significance. Jeffrey includes material that is not found in works of a similar nature, such as the use of the matrix exponential when solving systems of ordinary differential equations. The text provides many detailed, worked examples following the introduction of each new idea, and large problem sets provide both routine practice, and, in many cases, greater challenge and insight for students. Most chapters end with a set of computer projects that require the use of any CAS (such asMaple orMathematica) that reinforce ideas and provide insight into more advanced problems. A Student Solutions Manual is also available.

* Comprehensive coverage of frequently used integrals, functions and fundamental mathematical results
* Contents selected and organized to suit the needs of students, scientists, and engineers
* Contains tables of Laplace and Fourier transform pairs
* New section on numerical approximation
* New section on the z-transform
* Easy reference system

Audience: Engineers, engineering academics, and mathematicians.

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Product Details

  • ISBN-13: 9780123825940
  • Publisher: Elsevier Science
  • Publication date: 7/1/2001
  • Edition description: Student
  • Edition number: 1
  • Pages: 136
  • Product dimensions: 8.20 (w) x 10.90 (h) x 0.40 (d)

Table of Contents

Preface
Pt. 1 Review Material 1
Ch. 1 Review of Prerequisites 3
Pt. 2 Vectors and Matrices 53
Ch. 2 Vectors and Vector Spaces 55
Ch. 3 Matrices and Systems of Linear Equations 105
Ch. 4 Eigenvalues, Eigenvectors, and Diagonalization 177
Pt. 3 Ordinary Differential Equations 225
Ch. 5 First Order Differential Equations 227
Ch. 6 Second and Higher Order Linear Differential Equations and Systems 269
Ch. 7 The Laplace Transform 379
Ch. 8 Series Solutions of Differential Equations, Special Functions, and Sturm - Liouville Equations 443
Pt. 4 Fourier Series, Integrals, and The Fourier Transform 543
Ch. 9 Fourier Series 545
Ch. 10 Fourier Integrals and the Fourier Transform 589
Pt. 5 Vector Calculus 625
Ch. 11 Vector Differential Calculus 625
Ch. 12 Vector Integral Calculus 677
Pt. 6 Complex Analysis 709
Ch. 13 Analytic Functions 711
Ch. 14 Complex Integration 745
Ch. 15 Laurent Series, Residues, and Contour Integration 791
Ch. 16 The Laplace Inversion Integral 863
Ch. 17 Conformal Mapping and Applications to Boundary Value Problems 877
Pt. 7 Partial Differential Equations 925
Ch. 18 Partial Differential Equations 927
Pt. 8 Numerical Mathematics 1043
Ch. 19 Numerical Mathematics 1045
Answers 1109
References 1143
Index 1147
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