| Description |
1 online resource (xvii, 301 pages) : illustrations |
| Series |
IEEE Press understanding science & technology series |
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IEEE Press understanding science & technology series.
|
| Contents |
ch. 1. Lines -- ch. 2. Parabolas, ellipses, hyperbolas -- ch. 3. Differentiation -- ch. 4. Differentiation formulas -- ch. 5. The chain rule -- ch. 6. Trigonometric functions -- ch. 8. Inverse functions -- ch. 9. Derivatives and graphs -- ch. 10. Following the tangent line -- ch. 11. The indefinite integral -- ch. 12. The definite integral -- ch. 13. Work, volume, and force -- ch. 14. Parametric equations -- ch. 15. Change of variable -- ch. 16. Integrating rational functions -- ch. 17. Integration by parts -- ch. 18. Trigonometric integrals -- ch. 19. Trigonometric substitution -- ch. 20. Numerical integration -- ch. 21. Limits at [infinite], sequences -- ch. 22. Improper integrals -- ch. 23. Series -- ch. 24. Power series -- ch. 25. Taylor polynomials -- ch. 26. Taylor series -- ch. 27. Separable differential equations -- ch. 28. First-order linear equations -- ch. 29. Homogeneous second-order linear equations -- ch. 30. Nonhomogeneous second-order equations -- ch. 31. Vectors -- ch. 32. The dot product -- ch. 33. Lines and planes in space -- ch. 34. Surfaces -- ch. 35. partial derivatives -- ch. 36. Tangent plane and differential approximation -- ch. 37. Chain rules -- ch. 38. Gradient and directional derivatives -- ch. 39. Maxima and minima -- ch. 40. Double integrals -- ch. 41. Line integrals -- ch. 42. Green's theorem -- ch. 43. Exact differentials |
| Summary |
Everything you need to know-basic essential concepts-about calculus For anyone looking for a readable alternative to the usual unwieldy calculus text, here's a concise, no-nonsense approach to learning calculus. Following up on the highly popular first edition of Understanding Calculus, Professor H.S. Bear offers an expanded, improved edition that will serve the needs of every mathematics and engineering student, or provide an easy-to-use refresher text for engineers. Understanding Calculus, Second Edition provides in a condensed format all the material covered in the standard two-year calculus course. In addition to the first edition's comprehensive treatment of one-variable calculus, it covers vectors, lines, and planes in space; partial derivatives; line integrals; Green's theorem; and much more. More importantly, it teaches the material in a unique, easy-to-read style that makes calculus fun to learn. By explaining calculus concepts through simple geometric and physical examples rather than formal proofs, Understanding Calculus, Second Edition, makes it easy for anyone to master the essentials of calculus. If the dry "theorem-and-proof" approach just doesn't work, and the traditional twenty pound calculus textbook is just too much, this book is for you |
| Notes |
English |
|
Print version record |
| Subject |
Calculus.
|
|
calculus.
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Calculus
|
| Form |
Electronic book
|
| ISBN |
9780470546765 |
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047054676X |
|
9780471433071 |
|
0471433071 |
|
