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Posts tagged #Realanalysis

The Usual Metric

The Usual Metric

The Usual Metric

#Mathematics #Calculus #Realanalysis #Measuretheory #Foundations

sciencehumor.io/math-memes/the-usual-met...

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Continuous Function: Two Mathematical Worlds Apart

Continuous Function: Two Mathematical Worlds Apart

Continuous Function: Two Mathematical Worlds Apart

#Math #Calculus #Continuity #Epsilon-delta #Realanalysis

sciencehumor.io/math-memes/continuous-fu...

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MR4929931
Coffman, Adam; Pan, Yifei; Zhang, Yuan
Unique continuation for a gradient inequality with Ln potential.
J. Math. Anal. Appl. 553 (2026), no. 1, Paper No. 129847, 20 pp.

MR4929931 Coffman, Adam; Pan, Yifei; Zhang, Yuan Unique continuation for a gradient inequality with Ln potential. J. Math. Anal. Appl. 553 (2026), no. 1, Paper No. 129847, 20 pp.

The #MathReviews math review of my latest joint paper 🐘 in analysis has appeared! 📙
link for subscribers=
mathscinet.ams.org/mathscinet/article
#RealAnalysis #PDE #PurdueFortWayne

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Lecture 22: Fundamental Theorem of Calculus, Integration by Parts, and Change of Variable Formula
Lecture 22: Fundamental Theorem of Calculus, Integration by Parts, and Change of Variable Formula YouTube video by MIT OpenCourseWare

#MITOCW #RealAnalysis #providence

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Lecture 21: The Riemann Integral of a Continuous Function
Lecture 21: The Riemann Integral of a Continuous Function YouTube video by MIT OpenCourseWare

#RealAnalysis #MITOCW

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Lecture 20: Taylor's Theorem and the Definition of Riemann Sums
Lecture 20: Taylor's Theorem and the Definition of Riemann Sums YouTube video by MIT OpenCourseWare

#RealAnalysis #MITOCW

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Lecture 19: Differentiation Rules, Rolle's Theorem, and the Mean Value Theorem
Lecture 19: Differentiation Rules, Rolle's Theorem, and the Mean Value Theorem YouTube video by MIT OpenCourseWare

#RealAnalysis #MITOCW

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Lecture 18: Weierstrass's Example of a Continuous and Nowhere Differentiable Function
Lecture 18: Weierstrass's Example of a Continuous and Nowhere Differentiable Function YouTube video by MIT OpenCourseWare

#RealAnalysis #MITOCW

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Lecture 17: Uniform Continuity and the Definition of the Derivative
Lecture 17: Uniform Continuity and the Definition of the Derivative YouTube video by MIT OpenCourseWare

#RealAnalysis #MITOCW #providence

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Post image

The Beautiful Monster
#mathematics #math #RealAnalysis #FourierAnalysis
Source:https://buff.ly/XnX7myz

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Lecture 16: The Min/Max Theorem and Bolzano's Intermediate Value Theorem
Lecture 16: The Min/Max Theorem and Bolzano's Intermediate Value Theorem YouTube video by MIT OpenCourseWare

#RealAnalysis #MITOCW #providence

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Lecture 15: The Continuity of Sine and Cosine and the Many Discontinuities of Dirichlet's Function
Lecture 15: The Continuity of Sine and Cosine and the Many Discontinuities of Dirichlet's Function YouTube video by MIT OpenCourseWare

#RealAnalysis #MITOCW

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Lecture 14: Limits of Functions in Terms of Sequences and Continuity
Lecture 14: Limits of Functions in Terms of Sequences and Continuity YouTube video by MIT OpenCourseWare

#RealAnalysis #MITOCW

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Post image

#mathematics #math #RealAnalysis #AI
Source:https://buff.ly/5zsWuPY

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Lecture 13: Limits of Functions
Lecture 13: Limits of Functions YouTube video by MIT OpenCourseWare

#RealAnalysis #MITOCW

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The Mathematical Glow-Up Trap

The Mathematical Glow-Up Trap

The Mathematical Glow-Up Trap

#Math #Calculus #Differentialequations #Realanalysis #College

sciencehumor.io/math-memes/the-mathemati...

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Lecture 12: The Ratio, Root, and Alternating Series Tests
Lecture 12: The Ratio, Root, and Alternating Series Tests YouTube video by MIT OpenCourseWare

#RealAnalysis #MITOCW

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Lecture 11: Absolute Convergence and the Comparison Test for Series
Lecture 11: Absolute Convergence and the Comparison Test for Series YouTube video by MIT OpenCourseWare

#RealAnalysis #MITOCW

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Preview
MWAA 2025 The Midwestern Workshop on Asymptotic Analysis mwaa.math.indianapolis.iu.edu/ at Purdue Fort Wayne supported in part by the National Science Foundation

My photos from the Oct. 10-12 Midwestern Workshop on Asymptotic Analysis :gauss: , here at #PurdueFortWayne 🐘
www.flickr.com/photos/coffmanadam/album...
#NSFfunded #math #MathConference #RealAnalysis #ComplexAnalysis

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Video

𝐌𝐞𝐫𝐜𝐚𝐭𝐨𝐫 𝐒𝐞𝐫𝐢𝐞𝐬
Also called = Taylor/Maclaurin expansion of ln(1+𝑥)

If |𝑥|<1 then:
ln(1+𝑥) = Σₙ₌₁ (−1)ⁿ⁺¹ 𝑥ⁿ/𝑛
ln(1+𝑥) = 𝑥 − 𝑥²⁄2 + 𝑥³⁄3 − 𝑥⁴⁄4 + …

#mathematics #RealAnalysis

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Lecture 10: The Completeness of the Real Numbers and Basic Properties of Infinite Series
Lecture 10: The Completeness of the Real Numbers and Basic Properties of Infinite Series YouTube video by MIT OpenCourseWare

#RealAnalysis #MITOCW

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Lecture 9: Limsup, Liminf, and the Bolzano-Weierstrass Theorem
Lecture 9: Limsup, Liminf, and the Bolzano-Weierstrass Theorem YouTube video by MIT OpenCourseWare

#RealAnalysis #MITOCW

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Lecture 8: The Squeeze Theorem and Operations Involving Convergent Sequences
Lecture 8: The Squeeze Theorem and Operations Involving Convergent Sequences YouTube video by MIT OpenCourseWare

#RealAnalysis #MITOCW

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Post image

#mathematics #math #RealAnalysis
Source:https://buff.ly/jQXdcHN

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Lecture 7: Convergent Sequences of Real Numbers
Lecture 7: Convergent Sequences of Real Numbers YouTube video by MIT OpenCourseWare

#RealAnalysis #MITOCW

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Lecture 6: The Uncountabality of the Real Numbers
Lecture 6: The Uncountabality of the Real Numbers YouTube video by MIT OpenCourseWare

#RealAnalysis #MITOCW

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Lecture 5: The Archimedian Property, Density of the Rationals, and Absolute Value
Lecture 5: The Archimedian Property, Density of the Rationals, and Absolute Value YouTube video by MIT OpenCourseWare

#RealAnalysis #MITOCW

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Lecture 4: The Characterization of the Real Numbers
Lecture 4: The Characterization of the Real Numbers YouTube video by MIT OpenCourseWare

#RealAnalysis #MITOCW

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Lecture 3: Cantor's Remarkable Theorem and the Rationals' Lack of the Least Upper Bound Property
Lecture 3: Cantor's Remarkable Theorem and the Rationals' Lack of the Least Upper Bound Property YouTube video by MIT OpenCourseWare

#RealAnalysis #MITOCW

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