Mathematics for Engineers and Scientists: For Engineers and Scientists
Since its original publication in 1969, Mathematics for Engineers and Scientists has built a solid foundation in mathematics for legions of undergraduate science and engineering students. It continues to do so, but as the influence of computers has grown and syllabi have evolved, once again the time has come for a new edition.
Thoroughly revised to meet the needs of today's curricula, Mathematics for Engineers and Scientists, Sixth Edition covers all of the topics typically introduced to first- or second-year engineering students, from number systems, functions, and vectors to series, differential equations, and numerical analysis. Among the most significant revisions to this edition are:
Although designed as a textbook with problem sets in each chapter and selected answers at the end of the book, Mathematics for Engineers and Scientists, Sixth Edition serves equally well as a supplemental text and for self-study. The author strongly encourages readers to make use of computer algebra software, to experiment with it, and to learn more about mathematical functions and the operations that it can perform.
Why Read This Book
You should read this book if you need a clear, compact foundation in the mathematics that underpins DSP: it walks through complex numbers, series, transforms, differential equations and basic numerical methods with engineering examples. It’s a practical bridge between high-school maths and the applied techniques you’ll use when designing filters, analysing spectra or solving ODE-based system models.
Who Will Benefit
Early undergraduate engineering students or engineers who need a refresher on the mathematical tools (calculus, series, transforms, ODEs, numerical methods) used in DSP and related fields.
Level: Beginner — Prerequisites: High-school algebra and trigonometry; basic familiarity with limits and elementary functions is helpful.
Key Takeaways
- Understand complex numbers and their use in phasors and transform methods.
- Apply Taylor and Fourier series to represent and analyze signals.
- Solve ordinary differential equations common in system modelling.
- Use Laplace transforms for system analysis and transient response.
- Implement basic numerical methods for root-finding, integration and ODEs.
- Manipulate vectors and matrices needed for linear systems and modal analysis.
Topics Covered
- Number systems and complex numbers
- Functions, graphs and limits
- Differentiation and applications
- Integration and applications
- Infinite series and power series
- Fourier series and basic Fourier methods
- Ordinary differential equations and initial-value problems
- Laplace transforms and their applications
- Vectors, matrices and elementary linear algebra
- Numerical methods: root-finding, numerical integration, ODE solvers
- Selected applications and engineering examples
How It Compares
More concise and undergraduate-focused than Kreyszig's Advanced Engineering Mathematics — Jeffrey is easier as a course text but less comprehensive as a single reference for advanced topics.
