Zill D. Advanced Engineering Mathematics

6th Edition. — Jones & Bartlett Learning, 2018. — 1046 p. — ISBN: 978-1-284-10590-2.Modern and comprehensive, the new sixth edition of award-winning author, Dennis G. Zill’s Advanced Engineering Mathematics is a compendium of topics that are most often covered in courses in engineering mathematics, and is extremely flexible to meet the unique needs of courses ranging from ordinary differential equations, to vector calculus, to partial differential equations. A key strength of this best-selling text is the author’s emphasis on differential equations as mathematical models, discussing the constructs and pitfalls of each. An accessible writing style and robust pedagogical aids guide students through difficult concepts with thoughtful explanations, clear examples, interesting applications, and contributed project problems.Ordinary Differential Equations
Introduction to Differential Equations
First-Order Differential Equations
Higher-Order Differential Equations
The Laplace Transform
Series Solutions of Linear Differential Equations
Numerical Solutions of Ordinary Differential EquationsVectors, Matrices, and Vector Calculus
Vectors
Matrices
Vector CalculusSystems of Differential Equations
Systems of Linear Differential Equations
Systems of Nonlinear Differential EquationsPartial Differential Equations
Orthogonal Functions and Fourier Series
Boundary-Value Problems in Rectangular Coordinates
Boundary-Value Problems in Other Coordinate Systems
Integral Transform Method
Numerical Solutions of Partial Differential EquationsComplex Analysis
Functions of a Complex Variable
Integration in the Complex Plane
Series and Residues
Conformal MappingsAppendices
I Derivative and Integral Formulas APP-2
II Gamma Function APP-4
III Table of Laplace Transforms APP-6
IV Conformal Mappings APP-9
Answers to Selected Odd-Numbered Problems ANS-1