Calculus, Band 1SIAM, 01.01.1991 - 706 Seiten Gilbert Strang's Calculus textbook is ideal both as a course companion and for self study. The author has a direct style. His book presents detailed and intensive explanations. Many diagrams and key examples are used to aid understanding, as well as the application of calculus to physics and engineering and economics. The text is well organized, and it covers single variable and multivariable calculus in depth. An instructor's manual and student guide are available online at http: //ocw.mit.edu/ans7870/ |
Inhalt
| 1 | |
| 44 | |
Applications of the Derivative | 91 |
The Chain Rule | 154 |
Integrals | 177 |
Exponentials and Logarithms | 228 |
Techniques of Integration | 282 |
Applications of the Integral | 311 |
Infinite Series | 366 |
Vectors and Matrices | 397 |
Motion along a Curve | 446 |
Partial Derivatives | 471 |
Multiple Integrals | 521 |
Vector Calculus | 549 |
Mathematics after Calculus | 597 |
Polar Coordinates and Complex Numbers | 348 |
Andere Ausgaben - Alle anzeigen
Häufige Begriffe und Wortgruppen
algebra angle answer antiderivative approaches average axis calculus chain rule circle compute constant converges coordinates cosine cross product df/dx difference direction distance div F divergence divide dot product dx dy dy/dt dy/dx ellipse equals error EXAMPLE field Figure formula function geometric series gives goes grad f gradient graph Green's Theorem height hyperbola infinite integral inverse inverse functions l'Hôpital's Rule length level curves limit logarithm mass mathematics matrix Mean Value Theorem minimum multiply Newton's method parabola perpendicular plane Problem radius Read-through questions rectangles second derivative Section shows side sin² sine sinh slices slope solution solve speed square root starting step substitute surface tangent line Taylor series Theorem triangle vector velocity volume zero
Beliebte Passagen
Seite 5 - Domain and Range The domain of a function is the set of values for which the function is defined.
Seite 268 - San Antonio, May 26 — More than 200 years ago, a wealthy Pennsylvania merchant named Jacob DeHaven lent $450,000 to the Continental Congress to rescue the troops at Valley Forge. That loan was apparently never repaid. So Mr. DeHaven's descendants are taking the United States Government to court to collect what they believe they are owed. The total: $141 billion if the interest is compounded daily at 6 percent, the going rate at the time.
Seite 194 - Find the area under the parabola y = x2 from x = 0 to x = 1 (see Fig.
Seite 438 - Matrix multiplication is the operation of creating a new matrix with a series of vector products using the rows of the first matrix and the columns of the second matrix.
Seite 326 - Area of a Surface of Revolution. The area of the surface of a solid of revolution generated by revolving the curve y = f(x) between x = a and x...
Seite 269 - But they also note that interest is accumulating at $190 a second. "None of these people have any intention of bankrupting the Government," said Jo Beth Kloecker, a lawyer from Stafford, Texas.
Seite 540 - V is bounded by the planes .x = О, у = 0. z = 0, and x...