Advanced Engineering Mathematics

Key differences between 10th and 9th editions

• Period between current and previous publications: 6 years (2011 vs 2005).
• Kreyszig's Advanced Engineering Mathematics text was first published in 1972.
• The Tenth Edition includes an extensive revision of the problem sets.
• The openings of parts and chapters have been rewritten.
• Many chapters in the Tenth Ed. have been rewritten entirely. Some chapters contain new material, including:
• Introduction of Euler's Method in section 1.2
• Section 7.4 includes equivalent definition of basis.
• Composition of linear transformations and 2 new examples in section 7.9
• Partial Derivatives on a Surface in section 9.6
• Introduction to the Heat Equation in section 12.5
• New section 12.7 Heat Equation: Modeling Very Long Bars. Solution by Fourier Integrals and Transforms.
• Chapter 11 "Fourier Analysis" (former chapter 11 "Fourier Series, Integrals, and Transforms") has been extensively updated:
• Former sections 11.2 "Functions of Any Period p = 2L" and 11.3 "Even and Odd Functions. Half-Range Expansions" have been combined into one section 11.2 "Arbitrary Period. Even and Odd Functions. Half-Range Expansions".
• Former section 11.4 "Complex Fourier Series. Optional" has been removed.
• New sections "11.5 Sturm-Liouville Problems. Orthogonal Functions" and "11.6 Orthogonal Series. Generalized Fourier Series". Previous 9th edition covered these topics were in the Chapter 5.
• Section 11.9 includes new problems on the discrete Fourier transform, including Sturm–Liouville problems.