Advanced Engineering Mathematics

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9780123825926: Advanced Engineering Mathematics

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. 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

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From the Back Cover:

The design of the International Space Station was the result of extensive and detailed collaboration among researchers in engineering, space science, physics, chemistry, biology, medicine, and other fields.Mathematics provided essential and multiple links among these disciplines. Its contributions
included the specification of launch and orbital data, stress calculations for structural components, the study of gas flow from the combustion chamber, the design of high-precision
control systems for directing instruments at stellar objects, and image processing of observational data.
Advanced Engineering Mathematics presents topics such as the Laplace transform, complex
analysis, vector calculus, and ordinary and partial differential equations as the tools with which
control theory, the dynamic behavior of structures, elasticity, gas dynamics, and other applications are built. An overview of key aspects of numerical mathematics directs attention to sophisticated and highly optimized numerical packages that are used in current research and development.

Review:

From Book News, Inc.
A compilation of formulas, functions, relations and methods from algebra, trigonometric and exponential functions, combinatorics, probability, matrix theory, calculus, differential equations, Fourier series, and orthogonal polynomials. The second edition adds two chapters on the z-transform and numerical approximation. Book News, Inc., Portland, OR

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