Advanced Engineering Mathematics

Front Cover
Elsevier, Jun 19, 2001 - Technology & Engineering - 1184 pages
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 as Maple or Mathematica) that reinforce ideas and provide insight into more advanced problems.
  • 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
 

Contents

Vectors and Matrices
53
Ordinary Differential Equations
225
Fourier series Integrals and The Fourier Transform
543
Vector Calculus
623
Complex Analysis
709
Partial Differential Equations
925
Numerical Mathematics
1043
Answers
1109
References
1143
Index
1147
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