Every new copy includes access to the Student Companion Website and Project Center!
This updated Fifth Edition of the bestselling text Advanced Engineering Mathematics provides an in-depth overview of the many mathematical topics required for students planning a career in engineering or the sciences. Comprehensive, accessible, and thorough, this highly flexible text is the ideal resource for a multitude of science and engineering classes, and will prove invaluable to graduate and undergraduate students pursuing careers in these fields. Critically acclaimed author Dennis G. Zill has structured the text around the belief that the backbone of science- and engineering-related mathematics is the theory and application of ordinary and partial differential equations, resulting in a text that is as relevant and well-organized as it is thorough.
The revised and updated Fifth Edition includes a full suite of instructor materials, including a Complete Solutions Manual, Test Bank, Image Bank, and Lecture Outlines in PowerPoint format, and additional chapters on probability and statistics. There is also a Student Companion Website with supplemental resources for individual study. A Student Solutions Manual is also available.
Features & Benefits
New and Key Features of the Fifth Edition:
- Eight all-new contributed applied project problems spread throughout the text, including an in-depth discussion of the mathematics and history of the Paris Guns of World War I
- An all-new section on the LU-factorization of a matrix
- Updated examples throughout
- Revisions and reorganization throughout the text to improve clarity and flow
- An expanded discussion of spherical Bessel functions
- All-new boundary-value problems added to the chapters on partial differential equations
Appropriate for the college level course in Advanced Engineering Mathematics, as well as courses in Differential Equations and Complex Analysis.
Chapter 1 Introduction to Differential Equations
Part 1 Ordinary Differential Equations
Chapter 2 First-Order Differential Equations
Chapter 3 Higher-Order Differential Equations
Chapter 4 The Laplace Transform
Chapter 5 Series Solutions of Linear Differential Equations
Chapter 6 Numerical Solutions of Ordinary Differential Equations
Part 2 Vectors, Matrices, and Vector Calculus
Chapter 7 Vectors
Chapter 8 Matrices
Chapter 9 Vector Calculus
Part 3 Systems of Differential Equations
Chapter 10 Systems of Linear Differential Equations
Chapter 11 Systems of Nonlinear Differential Equations
Part 4 Partial Differential Equations
Chapter 12 Orthogonal Functions and Fourier Series
Chapter 13 Boundary-Value Problems in Rectangular Coordinates
Chapter 14 Boundary-Value Problems in Other Coordinate Systems
Chapter 15 Integral Transform Method
Chapter 16 Numerical Solutions of Partial Differential Equations
Part 5 Complex Analysis
Chapter 17 Functions of a Complex Variable
Chapter 18 Integration in the Complex Plane
Chapter 19 Series and Residues
Chapter 20 Conformal Mappings
Dennis G. Zill-Loyola Marymount University
Dennis Zill received a PhD in Applied Mathematics from Iowa State University, and is a former professor of Mathematics at Loyola Marymount University in Los Angeles, Loras College in Iowa, and California Polytechnic State University. He is also the former chair of the Mathematics department at Loyola Marymount University, where he currently holds a rank as Professor Emeritus of Mathematics. Zill holds interests in astronomy, modern literature, music, golf, and good wine, while his research interests include Special Functions, Differential Equations, Integral Transformations, and Complex Analysis.
Additional Titles by this Author
- ISBN-13: 9781284056327
- ISBN-13: 9781449694616
- ISBN-13: 9781284021448
Warren S. Wright-Loyola Marymount University
Warren S. Wright received his M.A. in mathematics from the University of Southern California and is currently professor of mathematics at Loyola Marymount University in Los Angeles. Wright has previously coauthored two textbooks with Dennis Zill and has authored numerous solutions manuals to accompany Zill's texts.
Additional Titles by this Author
- ISBN-13: 9781284020991
- ISBN-13: 9781449691585
- ISBN-13: 9781449689698