Advanced Engineering Mathematics

by Zill, Dennis G.; Wright, Warren S.

• ISBN13: 9781449691721
• ISBN10: 1449691722
• Edition: 5th
• Format: Hardcover
• Copyright: 2012-10-18
• Publisher: Jones & Bartlett Learning

Summary

Every new copy includes access to the Student Companion Website and Project Center!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 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.New and Key Features of the Fifth Edition:- 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 determing 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 learningInstructor materials include: complete instructor solutions manual, PowerPoint Image Bank, and Test Bank.

Table of Contents

Part1 Ordinary Differential Equations
Chapter1 Introduction to Differential Equations
Chapter2 First-Order Differential Equations
Chapter3 Higher-Order Differential Equations
Chapter4 The Laplace Transform
Chapter5 Series Solutions of Linear Differential Equations
Chapter6 Numerical Solutions of Ordinary Differential Equations
Part2 Vectors, Matrices, and Vector Calculus
Chapter7 Vectors
Chapter8 Matrices
Chapter9 Vector Calculus
Part3 Systems of Differential Equations
Chapter10 Systems of Linear Differential Equations
Chapter11 Systems of Nonlinear Differential Equations
Part4 Partial Differential Equations
Chapter12 Orthogonal Functions and Fourier Series
Chapter13 Boundary-Value Problems in Rectangular Coordinates
Chapter14 Boundary-Value Problems in Other Coordinate Systems
Chapter15 Integral Transform Method
Chapter16 Numerical Solutions of Partial Differential Equations
Part5 Complex Analysis
Chapter17 Functions of a Complex Variable
Chapter18 Integration in the Complex Plane
Chapter19 Series and Residues
Chapter20 Conformal Mappings