Vector calculus / (Record no. 15854)

MARC details
000 -LEADER
fixed length control field 03170nam a2200253Ia 4500
003 - CONTROL NUMBER IDENTIFIER
control field NULRC
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20250520102816.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 250520s9999 xx 000 0 und d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781429215084
040 ## - CATALOGING SOURCE
Transcribing agency NULRC
050 ## - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA 303 .M37 2012
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Marsden, Jerrold E.
Relator term author
245 #0 - TITLE STATEMENT
Title Vector calculus /
Statement of responsibility, etc. Jerrold E. Marsden and Anthony J. Tromba.
250 ## - EDITION STATEMENT
Edition statement Sixth edition.
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc. New York :
Name of publisher, distributor, etc. W.H. Freeman and Company,
Date of publication, distribution, etc. c2012
300 ## - PHYSICAL DESCRIPTION
Extent xxv, 545 pages :
Other physical details illustrations ;
Dimensions 27 cm.
365 ## - TRADE PRICE
Price amount USD111.75
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc. note Includes bibliographical references and index.
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note 1. The Geometry of Euclidean Space -- 1.1. Vectors In Two- and Three-Dimensional Space -- 1.2. The Inner Product, Length, and Distance -- 1.3. Matrices, Determinants, and the Cross Product -- 1.4. Cylindrical and Spherical Coordinates -- 1.5. n-Dimensional Euclidean Space -- Review Exercises for Chapter 1 -- 2. Differentiation -- 2.1. The Geometry of Real-Valued Functions -- 2.2. Limits and Continuity -- 2.3. Differentiation -- 2.4. Introduction to Paths and Curves -- 2.5. Properties of the Derivative -- 2.6. Gradients and Directional Derivatives -- Review Exercises for Chapter 2 -- 3. Higher-Order Derivatives: Maxima and Minima -- 3.1. Iterated Partial Derivatives -- 3.2. Taylor's Theorem -- 3.3. Extrema of Real-Valued Functions -- 3.4. Constrained Extrema and Lagrange Multipliers -- 3.5. The Implicit Function Theorem (Optional) -- Review Exercises for Chapter 3 -- 4. Vector-Valued Functions -- 4.1. Acceleration and Newton's Second Law -- 4.2. Arc Length -- 4.3. Vector Fields -- 4.4. Divergence and Curl -- Review Exercises for Chapter 4 -- 5. Double and Triple Integrals -- 5.1. Introduction -- 5.2. The Double Integral Over a Rectangle -- 5.3. The Double Integral Over More General Regions -- 5.4. Changing the Order of Integration -- 5.5. The Triple Integral -- Review Exercises for Chapter 5 -- 6. The Change of Variables Formula and Applications of Integration -- 6.1. The Geometry of Maps from R2 to R2 -- 6.2. The Change of Variables Theorem -- 6.3. Applications -- 6.4. Improper Integrals (Optional) -- Review Exercises for Chapter 6 -- 7. Integrals Over Paths and Surfaces -- 7.1. The Path Integral -- 7.2. Line Integrals -- 7.3. Parametrized Surfaces -- 7.4. Area of a Surface -- 7.5. Integrals of Scalar Functions Over Surfaces -- 7.6. Surface Integrals of Vector Fields -- 7.7. Applications to Differential Geometry, Physics, and Forms of Life -- Review Exercises for Chapter 7 -- 8. The Integral Theorems of Vector Analysis -- 8.1. Green's Theorem -- 8.2. Stokes' Theorem -- 8.3. Conservative Fields -- 8.4. Gauss' Theorem -- 8.5. Differential Forms -- Review Exercises for Chapter 8.
520 ## - SUMMARY, ETC.
Summary, etc. Vector Calculus helps students gain an intuitive and solid understanding of this important subject. The book's careful account is a contemporary balance between theory, application, and historical development, providing it's readers with an insight into how mathematics progresses and is in turn influenced by the natural world.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element CALCULUS
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Anthony J. Tromba.
Relator term co-author
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Library of Congress Classification
Koha item type Books
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Collection Home library Current library Shelving location Date acquired Source of acquisition Cost, normal purchase price Total checkouts Full call number Barcode Date last seen Copy number Price effective from Koha item type
    Library of Congress Classification     Electronics and Communications Engineering LRC - Main National University - Manila General Circulation 05/11/2017 Purchased - Amazon 111.75   GC QA 303 .M37 2012 NULIB000013613 05/20/2025 c.1 05/20/2025 Books

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