Thomas' calculus / (Record no. 165737)

MARC details
000 -LEADER
fixed length control field 01313cam a2200289 a 4500
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9788131718674
-- 032148987X
040 ## - CATALOGING SOURCE
Transcribing agency CUS
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515
Item number WEI/T
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Weir, Maurice D.
245 10 - TITLE STATEMENT
Title Thomas' calculus /
Statement of responsibility, etc. based on the original work by George B. Thomas, Jr., as revised by Maurice D. Weir, Joel Haas, Frank R. Giordano.
250 ## - EDITION STATEMENT
Edition statement 11th ed., media upgrade.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc. Boston :
Name of publisher, distributor, etc. Pearson Addison Wesley,
Date of publication, distribution, etc. c2008.
300 ## - PHYSICAL DESCRIPTION
Extent 1 v. (various pagings) :
Other physical details ill. (some col.) ;
Dimensions 26 cm.
500 ## - GENERAL NOTE
General note Updated 10th ed. revised by Ross L. Finney, Maurice D. Weir, and Frank R. Giordano
500 ## - GENERAL NOTE
General note Includes index.
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note (Practice Exercises, Additional Exercises, and Questions to Guide Your Review appear at the end of each chapter.) Preliminaries Real Numbers and the Real Line Lines, Circles, and Parabolas Functions and Their Graphs Identifying Functions; Mathematical Models Combining Functions; Shifting and Scaling Graphs Trigonometric Functions Graphing with Calculators and Computers 2. Limits and Derivatives Rates of Change and Limits Calculating Limits Using the Limit Laws Precise Definition of a Limit One-Sided Limits and Limits at Infinity Infinite Limits and Vertical Asymptotes Continuity Tangents and Derivatives 3. Differentiation The Derivative as a Function Differentiation Rules The Derivative as a Rate of Change Derivatives of Trigonometric Functions The Chain Rule and Parametric Equations Implicit Differentiation Related Rates Linearization and Differentials 4. Applications of Derivatives Extreme Values of Functions The Mean Value Theorem Monotonic Functions and the First Derivative Test Concavity and Curve Sketching Applied Optimization Problems Indeterminate Forms and L'Hopital's Rule Newton's Method Antiderivatives 5. Integration Estimating with Finite Sums Sigma Notation and Limits of Finite Sums The Definite Integral The Fundamental Theorem of Calculus Indefinite Integrals and the Substitution Rule Substitution and Area Between Curves 6. Applications of Definite Integrals Volumes by Slicing and Rotation About an Axis Volumes by Cylindrical Shells Lengths of Plane Curves Moments and Centers of Mass Areas of Surfaces of Revolution and The Theorems of Pappus Work Fluid Pressures and Forces 7. Transcendental Functions Inverse Functions and their Derivatives Natural Logarithms The Exponential Function ax and loga x Exponential Growth and Decay Relative Rates of Growth Inverse Trigonometric Functions Hyperbolic Functions 8. Techniques of Integration Basic Integration Formulas Integration by Parts Integration of Rational Functions by Partial Fractions Trigonometric Integrals Trigonometric Substitutions Integral Tables and Computer Algebra Systems Numerical Integration Improper Integrals 9. Further Applications of Integration Slope Fields and Separable Differential Equations First-Order Linear Differential Equations Euler's Method Graphical Solutions of Autonomous Equations Applications of First-Order Differential Equations 10. Conic Sections and Polar Coordinates Conic Sections and Quadratic Equations Classifying Conic Sections by Eccentricity Quadratic Equations and Rotations Conics and Parametric Equations; The Cycloid Polar Coordinates Graphing in Polar Coordinates Area and Lengths in Polar Coordinates Conic Sections in Polar Coordinates 11. Infinite Sequences and Series Sequences Infinite Series The Integral Test Comparison Tests The Ratio and Root Tests Alternating Series, Absolute and Conditional Convergence Power Series Taylor and Maclaurin Series Convergence of Taylor Series; Error Estimates Applications of Power Series Fourier Series 12. Vectors and the Geometry of Space Three-Dimensional Coordinate Systems Vectors The Dot Product The Cross Product Lines and Planes in Space Cylinders and Quadric Surfaces 13. Vector-Valued Functions and Motion in Space Vector Functions Modeling Projectile Motion Arc Length and the Unit Tangent Vector T Curvature and the Unit Normal Vector N Torsion and the Unit Binormal Vector B Planetary Motion and Satellites 14. Partial Derivatives Functions of Several Variables Limits and Continuity in Higher Dimensions Partial Derivatives The Chain Rule Directional Derivatives and Gradient Vectors Tangent Planes and Differentials Extreme Values and Saddle Points Lagrange Multipliers *Partial Derivatives with Constrained Variables Taylor's Formula for Two Variables 15. Multiple Integrals Double Integrals Areas, Moments and Centers of Mass* Double Integrals in Polar Form Triple Integrals in Rectangular Coordinates Masses and Moments in Three Dimensions Triple Integrals in Cylindrical and Spherical Coordinates Substitutions in Multiple Integrals 16. Integration in Vector Fields Line Integrals Vector Fields, Work, Circulation, and Flux Path Independence, Potential Functions, and Conservative Fields Green's Theorem in the Plane Surface Area and Surface Integrals Parametrized Surfaces Stokes' Theorem The Divergence Theorem and a Unified Theory Appendices Mathematical Induction Proofs of Limit Theorems Commonly Occurring Limits Theory of the Real Numbers Complex Numbers The Distributive Law for Vector Cross Products Determinants and Cramer's Rule The Mixed Derivative Theorem and the Increment Theorem The Area of a Parallelogram's Projection on a Plane
650 #0 - SUBJECT
Keyword Calculus
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type General Books
Holdings
Withdrawn status Lost status Damaged status Not for loan Home library Current library Shelving location Date acquired Full call number Accession number Date last seen Date last checked out Koha item type
        Central Library, Sikkim University Central Library, Sikkim University General Book Section 29/08/2016 515 WEI/T P20664 17/03/2020 17/03/2020 General Books
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