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Multiple Integrals(1st Edition)
Authors:
Adel Al Saeed
Cover Type:Hardcover
Condition:Used
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Book details
ISBN: B0C2SPBV41, 979-8393005764
Book publisher: Independently published
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Book Summary: The "Multiple Integrals: A Comprehensive Guide" Booklet Is A Valuable Resource For Students, Educators, And Mathematics Enthusiasts Seeking A Thorough Understanding Of Multiple Integrals. With 50 Pages Measuring 8.5" X 11" In Size, This Comprehensive Booklet Provides A Comprehensive Exploration Of Various Topics Related To Multiple Integrals.The Booklet Begins With An Introduction To "Double Integrals," Covering The Basic Concepts And Properties Of Integrating Functions Of Two Variables. It Explores The Evaluation Of Double Integrals And Emphasizes Techniques Such As Iterated Integration And The Use Of Cartesian Coordinates.Continuing On, The Booklet Delves Into The "Properties Of A Double Integral," Discussing Important Properties That Aid In The Evaluation And Manipulation Of Double Integrals, Such As Linearity And Symmetry.The Section On "Change Of Variables In A Double Integral" Introduces The Concept Of Variable Substitution, Providing Techniques For Transforming The Limits Of Integration And The Integrand. Additionally, "Change Of Order Of Integrals" Explores The Flexibility Of In"Area Enclosed By Plane Curves" Focuses On Finding The Area Bounded By Curves In The Plane Using Double Integrals, Providing Step-by-step Explanations And Techniques For Calculating These Areas.tegrating With Respect To Different Orders Of Variables."Area Enclosed By Plane Curves" Focuses On Finding The Area Bounded By Curves In The Plane Using Double Integrals, Providing Step-by-step Explanations And Techniques For Calculating These Areas.The Booklet Then Addresses The Application Of Double Integrals In Calculating "Volume And Surface Area." It Explores How Double Integrals Can Be Used To Find The Volume Of Solid Regions And Determine Surface Areas, Emphasizing The Connection Between Volume And Triple Integrals.Moving Forward, The Booklet Introduces "Triple Integrals And Their Evaluation," Extending The Concept Of Integration To Three Dimensions. It Covers The Evaluation Of Triple Integrals And Provides Insights Into Techniques Such As Iterated Integration And The Use Of Cartesian Coordinates.The Section On "Change To Spherical Polar Coordinates From Cartesian In Triple Integrals" Explores The Advantages Of Using Spherical Coordinates In Solving Triple Integrals And Provides Guidance On Making The Coordinate Transformation."Volume As Triple Integrals" Focuses On The Application Of Triple Integrals In Calculating Volumes Of Three-dimensional Regions, Providing Examples And Techniques For Solving These Types Of Problems.The Booklet Also Includes A Section Titled "Miscellaneous Examples," Which Offers Additional Practice Problems Covering Various Aspects Of Multiple Integrals.Throughout The Booklet, Readers Will Find A Total Of 87 Problems And Solutions, Allowing For Ample Practice And Reinforcement Of The Concepts Covered. These Problems Cover A Wide Range Of Difficulty Levels, Enabling Learners To Gradually Build Their Proficiency In Multiple Integrals.With Clear Explanations, Detailed Examples, And A Wealth Of Practice Problems, The "Multiple Integrals: A Comprehensive Guide" Booklet Equips Readers With The Necessary Tools To Master Multiple Integrals. Whether You Are A Student Studying Mathematics Or An Enthusiast Seeking To Deepen Your Understanding Of This Important Mathematical Concept, This Booklet Serves As An Essential Reference For Exploring The World Of Multiple Integrals.
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