Calculus with Maple LabsThis text contains a consistent and complete exposition of a single variable calculus course for any university anywhere in the world. The readers will find transcendental functions introduced at the very beginning, the notion of a sequence and its limit studied before a limit of a function is introduced. Key Features: Theorems with complete proofs, numerous examples and practice problems of various order of difficulties Enlarged coverage of integration techniques with applications to geometric problems Systematic exposition of complex numbers merged into the main course, together with proof of the fundamental theorem of algebra and Cardans's formulas for solving algebraic equations of order 3 and 4 Set of Maple Labs, allows students to acquire the ability to use the Maple mathematical software for solving complex calculus problems |
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Contents
Real Numbers | 1 |
Sequences | 56 |
Limit of a Function and Continuity | 100 |
Derivatives and Differentials | 159 |
Antiderivatives and Indefinite Integrals | 260 |
Definite Integrals | 339 |
Applications of Definite Integrals | 418 |
Infinite Series and Power Series | 478 |
Elements of Linear Algebra | 547 |
REFERENCES | 689 |
Common terms and phrases
answer apply approximation Assume bounded calculus called clear command complex compute Consequently consider constant contains continuous converges cosh curve defined definition denote derivative differentiable diverges Dom(f domain element equal equation error evaluate example exists expression formula function f(x given graph hand implies improper integral increasing inequality infinite integral interval limit limn Maple mathematical means method natural number Notice obtain plot polynomial positive prime problem Proof properties prove radius of convergence rational numbers real numbers region result roots Rule satisfies sequence Show sin(x sinē solution solve substitution Suppose Test Theorem true variable volume write zero
Bibliographic information
| Title | Calculus with Maple Labs |
| Authors | Wiesław Krawcewicz, Bindhyachal Rai |
| Edition | illustrated |
| Publisher | Alpha Science Int'l Ltd., 2003 |
| ISBN | 1842650742, 9781842650745 |
| Length | 697 pages |
| Subjects | › › Mathematics / Arithmetic Mathematics / Calculus Mathematics / Mathematical Analysis Mathematics / Probability & Statistics / General |
| Export Citation | BiBTeX EndNote RefMan |