(eBook PDF) Advanced Engineering Mathematics ,5th Edition

(eBook PDF) Advanced Engineering Mathematics 5th Edition – Digital Ebook – Instant Delivery Download

Product details:

• ISBN-10 ‏ : ‎ 1449691722
• ISBN-13 ‏ : ‎ 978-1449691721
• Author: Dennis Zill

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.

Table contents:

Part A. Ordinary Differential Equations (ODEs)
Chapter 1. First-Order ODEs
Chapter 2. Second-Order Linear ODEs
Chapter 3. Higher Order Linear ODEs
Chapter 4. Systems of ODEs. Phase Plane. Qualitative Methods
Chapter 5. Series Solutions of ODEs. Special Functions
Chapter 6. Laplace Transforms

Part B. Linear Algebra, Vector Calculus
Chapter 7. Matrices, Vectors, Determinants. Linear Systems
Chapter 8. Linear Algebra: Matrix Eigenvalue Problems
Chapter 9. Vector Differential Calculus. Grad, Div, Curl
Chapter 10. Vector Integral Calculus. Integral Theorems

Part C. Fourier Analysis. Partial Differential Equations
Chapter 11. Fourier Series, Integrals, and Transforms
Chapter 12. Partial Differential Equations (PDEs)

Part D. Complex Analysis
Chapter 13. Complex Numbers and Functions
Chapter 14. Complex Integration
Chapter 15. Power Series, Taylor Series
Chapter 16. Laurent Series. Residue Integration
Chapter 17. Conformal Mapping
Chapter 18. Complex Analysis and Potential Theory

Part E. Numeric Analysis
Chapter 19. Numerics in General
Chapter 20. Numeric Linear Algebra
Chapter 21. Numerics for ODEs and PDEs

Part F. Optimization, Graphs
Chapter 22. Unconstrained Optimization. Linear Programming
Chapter 23. Graphs and Combinatorial Optimization

Part G. Probability, Statistics
Chapter 24. Data Analysis. Probability Theory
Chapter 25. Mathematical Statistics

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