Multiple Integrals In Calculus: Improper Integrals, Line Int...

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Title:Multiple Integrals In Calculus: Improper Integrals, Line Integrals, Surface Svetlin G. (Author), Zennir, Khaled (Author)Description:The Book Consists Of Eight Chapters, Each Focusing On Different Aspects Of Multiple Integrals And Related Topics In Mathematical Analysis In Chapter 1, Multiple Integrals Are Defined And Developed The Jordan Measure In N-Dimensional Unit Balls Is Introduced, Along With The Definition And Criteria For Multiple Integrals, As Well As Their Properties Chapter 2 Delves Into Advanced Techniques For Computing Multiple Integrals It Introduces The Taylor Formula, Discusses Linear Maps On Measurable Sets, And Explores The Metric Properties Of Differentiable Maps In Chapter 3, We Focus On Improper Multiple Integrals And Their Properties The Chapter Deduces Criteria For The Integrability Of Functions Of Several Variables And Develops Concepts Such As Improper Integrals Of Nonnegative Functions, Comparison Criteria, And Absolute Convergence Chapter 4 Investigates The Stieltjes Integral And Its Properties Topics Covered Include The Differentiation Of Monotone Functions Of Finite Variation And The Helly Principle Of Choice, As Well As Continuous Functions Of Finite Variation Chapter 5 Addresses Curvilinear Integrals, Defining Line Integrals Of Both The First And Second Kinds It Also Discusses The Independence Of Line Integrals From The Path Of Integration In Chapter 6, Surface Integrals Of The First And Second Kinds Are Introduced The Chapter Presents The Gauss-Ostrogradsky Theorem And Stokes\' Formulas, Along With Advanced Practical Problems To Practice These Concepts Binding:Paperback, PaperbackPublisher:de GruyterPublication Date:2025-11-07Dimensions:Number of Pages:406Language:English