Methods of Applied Mathematics for Engineers and Scientists
eBook - PDF

Methods of Applied Mathematics for Engineers and Scientists

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Methods of Applied Mathematics for Engineers and Scientists

About this book

Based on course notes from over twenty years of teaching engineering and physical sciences at Michigan Technological University, Tomas Co's engineering mathematics textbook is rich with examples, applications and exercises. Professor Co uses analytical approaches to solve smaller problems to provide mathematical insight and understanding, and numerical methods for large and complex problems. The book emphasises applying matrices with strong attention to matrix structure and computational issues such as sparsity and efficiency. Chapters on vector calculus and integral theorems are used to build coordinate-free physical models with special emphasis on orthogonal co-ordinates. Chapters on ODEs and PDEs cover both analytical and numerical approaches. Topics on analytical solutions include similarity transform methods, direct formulas for series solutions, bifurcation analysis, Lagrange–Charpit formulas, shocks/rarefaction and others. Topics on numerical methods include stability analysis, DAEs, high-order finite-difference formulas, Delaunay meshes, and others. MATLAB® implementations of the methods and concepts are fully integrated.

Frequently asked questions

Yes, you can cancel anytime from the Subscription tab in your account settings on the Perlego website. Your subscription will stay active until the end of your current billing period. Learn how to cancel your subscription.
At the moment all of our mobile-responsive ePub books are available to download via the app. Most of our PDFs are also available to download and we're working on making the final remaining ones downloadable now. Learn more here.
Perlego offers two plans: Essential and Complete
  • Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
  • Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
Both plans are available with monthly, semester, or annual billing cycles.
We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1 million books across 1000+ topics, we’ve got you covered! Learn more here.
Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more here.
Yes! You can use the Perlego app on both iOS or Android devices to read anytime, anywhere — even offline. Perfect for commutes or when you’re on the go.
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 Methods of Applied Mathematics for Engineers and Scientists by Tomas B. Co in PDF and/or ePUB format, as well as other popular books in Technology & Engineering & Engineering General. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Contents
  2. Preface
  3. I Matrix Theory
  4. 2 Solution of Multiple Equations
  5. 3 Matrix Analysis
  6. II Vectors and Tensors
  7. 5 Vector Integral Theorems
  8. III Ordinary Differential Equations
  9. 7 Numerical Solution of Initial and Boundary Value Problems
  10. 8 Qualitative Analysis of Ordinary Differential Equations
  11. 9 Series Solutions of Linear Ordinary Differential Equations
  12. IV Partial Differential Equations
  13. 11 Linear Partial Differential Equations
  14. 12 Integral Transform Methods
  15. 13 Finite Difference Methods
  16. 14 Method of Finite Elements
  17. Appendix A: Additional Details and Fortificationfor Chapter 1
  18. Appendix B: Additional Details and Fortificationfor Chapter 2
  19. Appendix C: Additional Details and Fortificationfor Chapter 3
  20. Appendix D: Additional Details and Fortificationfor Chapter 4
  21. Appendix E: Additional Details and Fortificationfor Chapter 5
  22. Appendix F: Additional Details and Fortificationfor Chapter 6
  23. Appendix G: Additional Details and Fortificationfor Chapter 7
  24. Appendix H: Additional Details and Fortification for Chapter 8
  25. Appendix I: Additional Details and Fortificationfor Chapter 9
  26. Appendix J: Additional Details and Fortification for Chapter 10
  27. Appendix K: Additional Details and Fortificationfor Chapter 11
  28. Appendix L: Additional Details and Fortification for Chapter 12
  29. Appendix M: Additional Details and Fortificationfor Chapter 13
  30. Appendix N: Additional Details and Fortification for Chapter 14
  31. Bibliography
  32. Index