
- 400 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
eBook - ePub
Engineering Mathematics with Examples and Applications
About this book
Engineering Mathematics with Examples and Applications provides a compact and concise primer in the field, starting with the foundations, and then gradually developing to the advanced level of mathematics that is necessary for all engineering disciplines. Therefore, this book's aim is to help undergraduates rapidly develop the fundamental knowledge of engineering mathematics.
The book can also be used by graduates to review and refresh their mathematical skills. Step-by-step worked examples will help the students gain more insights and build sufficient confidence in engineering mathematics and problem-solving. The main approach and style of this book is informal, theorem-free, and practical. By using an informal and theorem-free approach, all fundamental mathematics topics required for engineering are covered, and readers can gain such basic knowledge of all important topics without worrying about rigorous (often boring) proofs.
Certain rigorous proof and derivatives are presented in an informal way by direct, straightforward mathematical operations and calculations, giving students the same level of fundamental knowledge without any tedious steps. In addition, this practical approach provides over 100 worked examples so that students can see how each step of mathematical problems can be derived without any gap or jump in steps. Thus, readers can build their understanding and mathematical confidence gradually and in a step-by-step manner.
- Covers fundamental engineering topics that are presented at the right level, without worry of rigorous proofs
- Includes step-by-step worked examples (of which 100+ feature in the work)
- Provides an emphasis on numerical methods, such as root-finding algorithms, numerical integration, and numerical methods of differential equations
- Balances theory and practice to aid in practical problem-solving in various contexts and applications
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Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Yes, you can access Engineering Mathematics with Examples and Applications by Xin-She Yang in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- Cover image
- Title page
- Table of Contents
- Copyright
- About the Author
- Preface
- Acknowledgment
- Part I: Fundamentals
- Chapter 1: Equations and Functions
- Chapter 2: Polynomials and Roots
- Chapter 3: Binomial Theorem and Expansions
- Chapter 4: Sequences
- Chapter 5: Exponentials and Logarithms
- Chapter 6: Trigonometry
- Part II: Complex Numbers
- Chapter 7: Complex Numbers
- Part III: Vectors and Matrices
- Chapter 8: Vectors and Vector Algebra
- Chapter 9: Matrices
- Part IV: Calculus
- Chapter 10: Differentiation
- Chapter 11: Integration
- Chapter 12: Ordinary Differential Equations
- Chapter 13: Partial Differentiation
- Chapter 14: Multiple Integrals and Special Integrals
- Chapter 15: Complex Integrals
- Part V: Fourier and Laplace Transforms
- Chapter 16: Fourier Series and Transform
- Chapter 17: Laplace Transforms
- Part VI: Statistics and Curve Fitting
- Chapter 18: Probability and Statistics
- Chapter 19: Regression and Curve Fitting
- Part VII: Numerical Methods
- Chapter 20: Numerical Methods
- Chapter 21: Computational Linear Algebra
- Part VIII: Optimization
- Chapter 22: Linear Programming
- Chapter 23: Optimization
- Part IX: Advanced Topics
- Chapter 24: Partial Differential Equations
- Chapter 25: Tensors
- Chapter 26: Calculus of Variations
- Chapter 27: Integral Equations
- Chapter 28: Mathematical Modeling
- Appendix A: Mathematical Formulas
- Appendix B: Mathematical Software Packages
- Appendix C: Answers to Exercises
- Bibliography
- Index