Modern Engineering Mathematics & Solution Manuals

先进的现代工程数学及解决方案手册

Advanced Engineering Mathematics with a Solutions Manual to accompany Advanced Engineering Mathematics, is known for its comprehensive coverage, careful and correct mathematics, outstanding exercises, and self-contained subject matter parts for maximum flexibility. This app continues with the tradition of providing instructors and students with a comprehensive and up-to-date resource for teaching and learning engineering mathematics, that is, applied mathematics for engineers and physicists, mathematicians and computer scientists, as well as members of other disciplines.

Advanced Engineering Mathematics with a Solutions Manual to accompany 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 app, 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.

Key Features

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

Building on the foundations laid in the companion text Modern Engineering Mathematics, this app gives an extensive treatment of some of the advanced areas of mathematics that have applications in various fields of engineering, particularly as tools for computer-based system modelling, analysis and design. The philosophy of learning by doing helps students develop the ability to use mathematics with understanding to solve engineering problems. A wealth of engineering examples and the integration of MATLAB, MAPLE and R further support students.

Some of the Table of Contents

First-Order Odes

Second-Order Linear Odes

Higher Order Linear Odes

Systems Of Odes. Phase Plane. Qualitative Methods

Series Solutions Of Odes. Special Functions

Laplace Transforms

Linear Algebra: Matrices, Vectors, Determinants. Linear Systems

Linear Algebra: Matrix Eigenvvalue Problems

Vector Differential Calculus, Grad, Div, Curl

Vector Integral Calculus. Integral Theorems

Fourier Analysis

Partial Differential Equations (Pdes)

Complex Numbers And Functions. Complex Differentiation

Complex Integration

Power Series, Taylor Series

Laurent Series. Residue Integration

Confomal Mapping

Complex Analysis And Potential Theory

Numerics In General

Numeric Linear Algebra

Numerics For Odes And Pdes

Unconstrained Optimization. Linear Programming

Graphs. Combinatorial Optimization

Data Analysis, Probability Theory

Mathematical Statistics