Calculus with Maple Labs: Early TranscendentalsThis 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 arbitrary arctan Assume bounded calculus called clear command compute Consequently consider constant contains continuous converges cosh curve defined definition denote derivative differentiable diverges Dom(f domain element elementary equal equation error evaluate example exists expression fact finite formula fraction function f(x given graph hand implies improper integral increasing induction inequality infinite integral interval inverse length limit Maple mathematical means method natural number Notice obtain partial plot polynomial positive prime problem Proof properties Proposition prove radius of convergence rational numbers real numbers region represented result roots Rule satisfies sequence Show sin(x sinh solution solve substitution Suppose tangent Taylor Test Theorem true variable volume write zero Δα
Bibliographic information
| Title | Calculus with Maple Labs: Early Transcendentals |
| 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 |
| Export Citation | BiBTeX EndNote RefMan |