Engineering Mathematics with Examples and Applications
eBook - ePub

Engineering Mathematics with Examples and Applications

  1. 400 pages
  2. English
  3. ePUB (mobile friendly)
  4. 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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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

  1. Cover image
  2. Title page
  3. Table of Contents
  4. Copyright
  5. About the Author
  6. Preface
  7. Acknowledgment
  8. Part I: Fundamentals
  9. Chapter 1: Equations and Functions
  10. Chapter 2: Polynomials and Roots
  11. Chapter 3: Binomial Theorem and Expansions
  12. Chapter 4: Sequences
  13. Chapter 5: Exponentials and Logarithms
  14. Chapter 6: Trigonometry
  15. Part II: Complex Numbers
  16. Chapter 7: Complex Numbers
  17. Part III: Vectors and Matrices
  18. Chapter 8: Vectors and Vector Algebra
  19. Chapter 9: Matrices
  20. Part IV: Calculus
  21. Chapter 10: Differentiation
  22. Chapter 11: Integration
  23. Chapter 12: Ordinary Differential Equations
  24. Chapter 13: Partial Differentiation
  25. Chapter 14: Multiple Integrals and Special Integrals
  26. Chapter 15: Complex Integrals
  27. Part V: Fourier and Laplace Transforms
  28. Chapter 16: Fourier Series and Transform
  29. Chapter 17: Laplace Transforms
  30. Part VI: Statistics and Curve Fitting
  31. Chapter 18: Probability and Statistics
  32. Chapter 19: Regression and Curve Fitting
  33. Part VII: Numerical Methods
  34. Chapter 20: Numerical Methods
  35. Chapter 21: Computational Linear Algebra
  36. Part VIII: Optimization
  37. Chapter 22: Linear Programming
  38. Chapter 23: Optimization
  39. Part IX: Advanced Topics
  40. Chapter 24: Partial Differential Equations
  41. Chapter 25: Tensors
  42. Chapter 26: Calculus of Variations
  43. Chapter 27: Integral Equations
  44. Chapter 28: Mathematical Modeling
  45. Appendix A: Mathematical Formulas
  46. Appendix B: Mathematical Software Packages
  47. Appendix C: Answers to Exercises
  48. Bibliography
  49. Index