Hey there, based on your need for an English engineering math textbook that mirrors the content of Mathematik für Ingenieure—with a focus on foundational concepts, practical examples, and plenty of practice problems—here are some top picks that align perfectly with your listed topics:

• Engineering Mathematics by K.A. Stroud & Dexter Booth
  This is a staple for engineering students worldwide. It covers all the topics you mentioned: differential calculus, integral calculus, vectors & matrices, complex numbers, multivariable real analysis, and Fourier transforms. What makes it a great match is its emphasis on practical engineering applications—each section ties math concepts directly to real-world problems (like circuit analysis, mechanical systems, etc.). Plus, it has tons of graded exercises (from basic to advanced) with detailed solutions, so you can reinforce your understanding step by step. It's consistently high-rated on Amazon for exactly this kind of engineering-focused math learning.

• Advanced Engineering Mathematics by Erwin Kreyszig
  Another classic that’s widely used in university engineering programs. It dives deep into the core topics you listed, with a strong balance between theory and practical application. The book includes numerous engineering case studies (e.g., signal processing for Fourier transforms, structural analysis with vectors/matrices) and a huge bank of practice problems. While it’s a bit more comprehensive than some other texts, it’s structured to guide you through foundational concepts first, making it a solid equivalent to Mathematik für Ingenieure.

• Engineering Mathematics by John Bird
  This book is tailored specifically for engineering students who need to apply math to their field. It covers all your required topics with clear, concise explanations, and every chapter is packed with practical examples (like using complex numbers for AC circuit calculations or multivariable calculus for fluid dynamics). It also has end-of-chapter exercises with answers, plus supplementary problem sets for extra practice. It’s known for being approachable while still covering all the essential engineering math fundamentals.

Quick Tips for Amazon Selection #

When browsing Amazon, use the "Look Inside" feature to sample chapters from these books—this lets you check if the tone, depth, and application focus match what you’re familiar with from Mathematik für Ingenieure. Opt for the latest editions if available, as they often update examples to reflect modern engineering practices. All three titles have consistently high ratings for their alignment with engineering math curricula, so you can feel confident they’ll meet your needs.

内容的提问来源于stack exchange，提问作者Darío A. Gutiérrez