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Synopsis
This text contains a consistent and complete exposition of a single variable calculus course taught in universities across the world. The readers will find transcendental functions introduced at the very beginning, following with the notion of a sequence and its limit and the introduction of a limit of a function.
Table of Contents
• Real Numbers: Historical Remarks/Extension of Rational Numbers to Real Numbers\Axioms of Real Numbers, Absolute Values and the Principle of Mathematical Induction/Further Properties of Real Numbers: Powers and Logarithms/Complex Numbers/Review and Supplementary Problems
• Sequences: What is a Sequences/Convergence of Sequences and the Notion of a Limit/The Number /Further Properties of Limits/Complex Sequences
• Review and Supplementary Problems
• Limit of a function and Continuity: Functions and Their Properties/Definition of the Limit of a Function/Continuous Functions/Further Properties of Continuous Functions/Continuity of Elementary Functions/Functions of Complex Variable/Review and Supplementary Problems
• Derivatives and Differentials: Derivative and its Properties/Differential/Fundamental Properties of Differentiable Functions
• Hopital Rule/Further Applications of Derivatives/Higher Order Derivatives/The Taylor Formula/Convex Functions and Investigation of Graphs/Newtons's Approximation Method/Fundamental Theorem of Algebra/Review and Supplementary Problesm
• Anti derivatives and Indefinite Integrals: Antiderivatives and the Definition of an Indefinite Integral/Integration Rules/Integration of Rational Functions/Integration of Certain Irrational Expressins/Integration of Trigonometric and Hyperbolic Functions/Solving Algebraic Equations
• Review and Supplementary Problems
• Definite Integrals: Definition of the Definite Integral and Conditions for Integrability/Properties of Definite Integrals and the Fundamental Theorem of Calculus/Approximate Integration/Improper Integrals/Review and Supplementary Problems/Applications of the Definite Integrals:Arc Length of a Curve/Computing Areas Bounded by Curves/Computation of Volumes/Area of a Surface of Revolution/Review and Supplementary Problems
• Infinite Series and Power Series: Infinite Series/Absolute and Conditional Convergence of Infinite Series/Power Series/Review and Supplementary Problems
• Solutions of Selected Problems
• Appendix 1: Elements of Linear Algebra/Appendix 2: Maple V Labs (by Liping Liu
• Refereences
• Index
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About the Author
W. Krawcewicz.: Department of Mathematical Sciences University of Alberta, Edmonton, Alberta, Canada B. Rai.: Department of Mathematics, University of Allahabad Allahabad, India
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International Edition
Calculus With Maple Labs
Published by
Williston, Vermont, U.S.A.: Alpha Science Intl Ltd, 2003
ISBN 10: 1842650742
ISBN 13: 9781842650745
New
Soft cover
Seller: Sizzler Texts, SAN GABRIEL, CA, U.S.A.
Seller rating 5 out of 5 stars
Soft cover. Condition: New. Dust Jacket Condition: New. 1st Edition. **INTERNATIONAL EDITION** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design (Notice: The book may less some content), the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments contain tracking numbers. Great professional textbook selling experience and expedite shipping service. Seller Inventory # ABE-8050483260