Advanced Engineering Mathematics, 7/e (IE-Paperback)
暫譯: 高等工程數學，第7版 (IE-平裝本)

Through previous editions, Peter O'Neil has made rigorous engineering mathematics topics accessible to thousands of students by emphasizing visuals, numerous examples, and interesting mathematical models. Now, ADVANCED ENGINEERING MATHEMATICS features revised examples and problems as well as newly added content that has been fine-tuned throughout to improve the clear flow of ideas. The computer plays a more prominent role than ever in generating computer graphics used to display concepts and problem sets. In this new edition, computational assistance in the form of a self contained Maple Primer has been included to encourage students to make use of such computational tools. The content has been reorganized into 7 parts and covers a wide spectrum of topics including Ordinary Differential Equations, Vectors and Linear Algebra, Systems of Differential Equations and Qualitative Methods, Vector Analysis, Fourier Analysis, Orthogonal Expansions, and Wavelets, and much more

PART I: ORDINARY DIFFERENTIAL EQUATIONS
Ch 1 First-Order Differential Equations.
Ch 2 Linear Second-Order Equations.
Ch 3 The Laplace Transform
Ch 4 Series Solutions.
Ch 5 Approximation Of Solutions

PART II: VECTORS, LINEAR ALGEBRA, AND SUSTEMS OF LINEAR DIFFERENTIAL EQUATIONS
Ch 6 Vectors And Vector Spaces.
Ch 7 Matrices And Linear Systems.
Ch 8 Determinants.
Ch 9 Eigenvalues, Diagonalization And Special Matrices
Ch10 Systems Of Linear Differential Equations

PART III: VECTOR ANALYSIS
Ch11 Vector Differential Calculus.
Ch12 Vector Integral Calculus.

PART IV: FOURIER ANALYSIS, SPECIAL FUNCTIONS, AND EIGENFUNCTION EXPANSIONS
Ch13 Fourier Series.
Ch14 The Fourier Integral And Transforms.
Ch15 Special Functions And Eigenfunction Expansions.

PART V: PARTIAL DIFFERENTIAL EQUATIONS
Ch16 The Wave Equation.
Ch17 The Heat Equation.
Ch18 The Potential Equation.

PART VI: COMPLEX FUNCTIONS
Ch19 Complex Numbers And Functions.
Ch20 Complex Integration.
Ch21 Series Representations Of Functions.
Ch22 Singularities And The Residue Theorem.
Ch23 Conformal Mappings And Applications.

PART VII: PROBABILITY AND STATISTICS
Ch24 Probability
Ch25 Statistics

Appendix: A Maple Primer.