sitemap | contact us
  Book Series
  Book Proposal Form
  Using Published Material
  Rights and Permissions
  Examination Copies
  List of Publishers
  About Narosa
  Group Companies
  Our Strength
view in print mode
Calculus with Maple Labs
Author(s): W. Krawcewicz, B. Rai

ISBN:    978-81-7319-409-2 
Publication Year:   2003
Pages:   712
Binding:   Paper Back
Dimension:   160mm x 240mm
Weight:   1200


About the book

This text contains a consistent and complete exposition of a single variable calculus course for any university 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 coverge of integration techniques with applications to geometric problems • Systems 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 Maplemathematical software for solving complex calculus problems

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


Undergraduate students and Teachers


| Companies | Mission | Strength | Values | History | Contact us
© Narosa Publishing House