http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
"While retaining the style and content that made the first edition so successful, the second edition provides even more examples, new material, and most importantly, an introduction to using two of the most prevalent software packages in engineering: Maple and MATLAB." "The author includes all of the topics typically covered in first-year undergraduate engineering mathematics courses, organized into short, easily digestible sections that make it easy to find any subject of interest. Concise, right-to-the-point exposition, a wealth of examples, and extensive problem sets at the end each chapter - with answers at the end of the book - combine to make Essentials of Engineering Mathematics, Second Edition ideal as a supplemental textbook, for self-study, and as a quick guide to fundamental concepts and techniques."--Jacket.
Sect. 1. Real numbers, inequalities and intervals -- Sect. 2. Function, domain and range -- Sect. 3. Basic coordinate geometry -- Sect. 4. Polar coordinates -- Sect. 5. Mathematical induction -- Sect. 6. Binomial theorem -- Sect. 7. Combination of functions -- Sect. 8. Symmetry in functions and graphs -- Sect. 9. Inverse functions -- Sect. 10. Complex numbers : real and imaginary forms -- Sect. 11. Geometry of complex numbers -- Sect. 12. Modulus-argument form of a complex number -- Sect. 13. Roots of complex numbers -- Sect. 14. Limits -- Sect. 15. One-sided limits : continuity -- Sect. 16. Derivatives -- Sect. 17. Leibniz's formula -- Sect. 18. Differentials -- Sect. 19. Differentiation of inverse trigonometric functions -- Sect. 20. Implicit differentiation -- Sect. 21. Parametrically defined curves and parametric differentiation -- Sect. 22. exponential function -- Sect. 23. logarithmic function -- Sect. 24. Hyperbolic functions -- Sect. 25. Inverse hyperbolic functions -- Sect. 26. Properties and applications of differentiability -- Sect. 27. Functions of two variables -- Sect. 28. Limits and continuity of functions of two real variables -- Sect. 29. Partial differentiation -- Sect. 30. total differential -- Sect. 31. chain rule -- Sect. 32. Change of variable in partial differentiation -- Sect. 33. Antidifferentiation (integration) -- Sect. 34. Integration by substitution -- Sect. 35. Some useful standard forms -- Sect. 36. Integration by parts -- Sect. 37. Partial fractions and integration of rational functions -- Sect. 38. definite integral -- Sect. 39. fundamental theorem of integral calculus and the evaluation of definite integrals -- Sect. 40. Improper integrals -- Sect. 41. Numerical integration -- Sect. 42.