Advanced Engineering Mathematics 4th Edition 4th Edition  (English, Paperback, Dennis G. Zill, Warren S. Wright)

Now with a full-color design, the new fourth edition of Zill"s Advanced Engineering Mathematics provides an in-depth overview of the many mathematical topics necessary for students planning a career in engineering or the sciences. A key strength of this text is Zill’s emphasis on differential equations as mathematical models, discussing the constructs and pitfalls of each. The Fourth edition is comprehensive, yet flexible, to meet the unique needs of various course offerings ranging from ordinary differential equations to vector calculus. New modern applications and projects, makes Zill’s classic text a must-have text and resource for Engineering Math students.

Key Features

• New full-colour design and art program
• Nine new interesting projects appear in the front of the text
• Comprises a new section on Green’s functions for ordinary differential equations. Includes new modern projects and applications
• Sections on Dot Product and Cross Product have been completely rewritten to bring them in conformity with the current approach to these subjects
• The section on Independence of the Path has also been completely rewritten. As an aftereffect of the calculus reform movement, the approach to this subject puts special emphasis on the notion of a conservative vector field; the rewriting brings this section into conformity with that approach
• New problems have been added throughout the entire text

Table of Contents
Projects

Projects for Section 2.2: When Differential Equations Invaded Geometry: Inverse Tangent Problems in the 17th Century
Projects for Section 2.5: Two properties of the sphere
Projects for Section 2.7: Potassium-Argon Dating
Projects for Section 2.8: Tricky timing: The Isochrones of Huygenes and Leibniz
Projects for Section 3.8: Vibration control: Vibration Isolation
Projects for Section 3.11: Vibration control: Vibration Absorbers
Projects for Section 9.16: Minimal Surfaces
Projects for Section 13.4: Making waves: Convection, Diffusion, and Traffic Flow
Projects for Section 14.4: The uncertainity inequality in signal processing

Part 1: Ordinary Differential Equations

Chapter 1: Introduction to 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

Appendix 1:
Appendix II
Appendix III
Appendix IV
Index