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Infinite Series(1st Edition)
Authors:
Adel Al Saeed
Cover Type:Hardcover
Condition:Used
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Book details
ISBN: B0C2RX96G1, 979-8392796397
Book publisher: Independently published
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Book Summary: Description:The Booklet Titled "Infinite Series" Is A Comprehensive Guide That Delves Into The Intricate World Of Mathematical Sequences And Series. With A Total Of 61 Pages, This Compact Booklet Measures 8.5 X 11 Inches, Making It Easily Portable And Accessible For Students, Mathematicians, And Enthusiasts Alike.The Booklet Covers A Wide Range Of Topics Related To Sequences And Series, Providing A Thorough Understanding Of Their Properties And Convergence. The Contents Are Organized Systematically To Facilitate Learning And Comprehension. Here Is An Overview Of The Topics Covered:Sequences: This Section Introduces The Concept Of Sequences, Their Notation, And Basic Properties.Convergence Of Sequences: Exploring The Convergence Of Sequences, This Chapter Discusses The Terms Upper And Lower Limits And Cauchy's Principle Of Convergence.Monotonic Sequences: This Section Focuses On Monotonic Sequences And Their Properties, Including Theorems On Limits.Subsequences: An In-depth Explanation Of Subsequences And Their Significance In The Study Of Sequences.Series: This Chapter Introduces The Concept Of Series, Including Summation Notation And Basic Properties.Comparison Tests: A Discussion Of Various Comparison Tests Used To Determine The Convergence Or Divergence Of Series, Including The Cauchy's And Alembert’s Ratio Tests, Cauchy's Root Test, Raba’s Test, Logarithmic Test, De Morgan-Bertrand Test, Gauss's Test, Cauchy's Integral Test, Cauchy's Condensation Test, And Kumar’s Test.Alternating Series: The Convergence Properties Of Alternating Series Are Examined In This Section.Absolute Convergence Of A Series: Exploring The Concept Of Absolute Convergence And Its Implications For Series.Convergence Of Series Of The Type: This Section Focuses On Specific Types Of Series And Their Convergence Properties.Derangement Of Series: Investigating The Impact Of Derangement On Series And Their Convergence.Nature Of Non-Absolutely Convergent Series: A Discussion On The Nature And Behavior Of Non-absolutely Convergent Series.Effect Of Derangement Of Non-Absolutely Convergent Series: Examining The Effect Of Derangement On Non-absolutely Convergent Series.Uniform Convergence: Introducing The Concept Of Uniform Convergence And Its Applications.Uniform Convergence Of A Series Of Functions: This Chapter Explores The Convergence Properties Of Series Of Functions And Their Uniform Convergence.Properties Of Uniformly Convergent Series: A Comprehensive Examination Of The Properties And Characteristics Of Uniformly Convergent Series.Power Series: The Booklet Concludes With An Exploration Of Power Series, Their Representation, And Convergence Properties.The Booklet "Infinite Series" Serves As A Valuable Resource For Those Seeking A Thorough Understanding Of The Intricacies Of Sequences And Series. With Its Concise Explanations, Examples, And Comprehensive Coverage, It Is An Indispensable Companion For Anyone Interested In Diving Deep Into The Fascinating Realm Of Infinite Series.
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