Modern and comprehensive, the new Fifth Edition of Zill's Advanced Engineering Mathematics, Fifth Edition provides an in-depth overview of the many mathematical topics required for students planning a career in engineering or the sciences. A key strength of this best-selling text is Zill's emphasis on differential equations as mathematical models, discussing the constructs and pitfalls of each.
The Fifth Edition is a full compendium of topics that are most often covered in the Engineering Mathematics course or courses, and is extremely flexible, to meet the unique needs of various course offerings ranging from ordinary differential equations to vector calculus. The new edition offers a reorganized project section to add clarity to course material and new content has been added throughout, including new discussions on: Autonomous Des and Direction Fields; Translation Property, Bessel Functions, LU-Factorization, Da Vinci's apparatus for determining speed and more.
Key Features
- Available with WebAssign with full integrated eBook
- Two new chapters, Probability and Statistics, are available online
- Updated example throughout
- Projects, formerly found at the beginning of the text, are now included within the appropriate chapters.
- New and updated content throughout including new discussions on: Autonomous Des and Direction Fields; Translation Property, Bessel Functions, LU-Factorization, Da Vinci's apparatus for determining speed and more.
- The Student Companion Website, included with every new copy, includes a wealth of study aids, learning tools, projects, and essays to enhance student learning
- Instructor materials include: complete instructor solutions manual, PowerPoint Image Bank, and Test Bank.
Contents
- 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
About the Author
- Dennis G. Zill, Loyola Marymount University. He received a PhD in applied mathematics from Iowa State University and is currently professor of mathematics and former chair of the mathematics department at Loyola Marymount University in Los Angeles. Zill's research interests include Applied Mathematics, Special Functions, and Integral Transforms.
Book Details
- Hardcover: 1004 pages
- Publisher: Jones & Bartlett Learning; 5 edition (©2014)
- Language: English
- ISBN-10: 1449691722
- ISBN-13: 978-1449691721
- Product Dimensions: 11 x 8.6 x 1.5 inches
- List Price: $266.95