User studyhard - Mathematics Stack Exchange

4 votes

1 answer

265 views

The proof about Cauchy's Integral Formula in Ahlfors' Complex Analysis

asked Feb 3 at 5:39

2 votes

1 answer

230 views

Mistakes in proving $\int_{\gamma}\frac{dz}{z-a}=2k\pi i$ in Ahlfors' Complex Analysis

asked Feb 15 at 13:36

2 votes

1 answer

103 views

Confusions about the definition of "residue" in Ahlfors' Complex Analysis

asked Feb 16 at 20:59

2 votes

0 answers

77 views

confused about Lemma 5.28 in Rotman's A First Course in Abstract Algebra

asked Jan 16, 2021 at 3:57

2 votes

1 answer

313 views

A question about Dedekind cut in Rudin's Principles of Mathematical Analysis

asked Feb 11, 2022 at 11:07

2 votes

1 answer

64 views

A question about multiplication of Dedekind cuts

asked Mar 7, 2022 at 12:28

2 votes

1 answer

104 views

A confusion about the radius of convergence in Ahlfors' "Complex Analysis"?

asked Jan 19 at 17:48

1 vote

1 answer

91 views

Why "it suffices to consider the case m=1" Theorem 9.21 in Rudin's Principles of Mathematical Analysis?

asked Feb 11, 2023 at 18:15

1 vote

1 answer

91 views

How to understand $Im \left[\frac{z-a}{b}\right] <0 $ is a half plane?

asked Jan 10 at 11:05

1 vote

1 answer

33 views

Harmonic conjugated functions and simply connected domain in wikipedia

asked Mar 8 at 22:04

1 vote

0 answers

46 views

A mistake in Munkres' Analysis on Manifolds about proving if $D$ has measure zero in $\mathbf{R}^{n}$, then $\int_{Q}f$ exists

asked Apr 30 at 19:25

1 vote

1 answer

78 views

Proof of the Chain Rule of multivariable functions in Munkres' Analysis on Manifolds

asked Feb 20 at 14:38

0 votes

1 answer

106 views

Is $\int_0^{\pi}\log \sin \theta d\theta$ not well-defined?

asked Feb 22 at 15:47

0 votes

1 answer

48 views

Question about Lemma 19.1 in Munkres' Analysis on Manifolds

asked Jul 4 at 14:22

0 votes

0 answers

44 views

A contradiction about an open set whose boundary is not of measure zero. [duplicate]

asked May 13 at 18:58

0 votes

1 answer

129 views

How to prove $\oint_{A}\mathbf{E}\cdot d\mathbf{A}=\frac{q}{\epsilon_{0}}$ mathematically and rigorously?

asked Feb 19 at 12:35

0 votes

1 answer

88 views

How to calculate $\int_{C_a} \frac{e^z}{(z-a)(z-b)}dz$?

asked Feb 14 at 14:20

0 votes

1 answer

113 views

How to prove $f(z)=a_0+a_1z+\cdots+a_nz^n+\cdots$, which has infinite items, is an analytic function? [duplicate]

asked Jan 18 at 8:46

0 votes

2 answers

146 views

I find a "mistake" on p.40 in Ahlfors' "Complex Analysis"?

asked Jan 18 at 19:30

0 votes

0 answers

58 views

Why will $u$ and $v$ have continuous partial derivatives of all orders if $f$ is an analytic function in Ahlfors' Complex Analysis?

asked Jan 8 at 18:13

0 votes

1 answer

86 views

A confusion about Cauchy's Theorem for a Rectangle in Ahlfors' Complex Analysis?

asked Jan 25 at 20:31

0 votes

0 answers

62 views

A problem about Cauchy's Theorem in a Disk in Ahlfors' Complex Analysis?

asked Jan 28 at 1:29

0 votes

0 answers

56 views

Confusions about proof of Cauchy-Riemann equations for $r$ and $\theta$

asked Jan 29 at 22:10

0 votes

2 answers

67 views

How to evaluate the following integral in Chapter 2 of Griffiths' Introduction to Electrodynamics?

asked Nov 1, 2022 at 9:22

0 votes

1 answer

68 views

How to understand the integral in the Fourier coefficient?

asked Dec 1, 2022 at 5:34

0 votes

1 answer

104 views

confused about a statement of pure extension in Rotman's abstract algebra textbook

asked Jan 17, 2021 at 12:37

0 votes

2 answers

39 views

confused about Lemma 5.33 (about Galois Theory) in Rotman's textbook

asked Jan 19, 2021 at 10:55

0 votes

1 answer

58 views

A problem about Sylow Theorem [closed]

asked Jan 30, 2021 at 12:41

-1 votes

1 answer

86 views

confused about the inverse function theorem in Rudin's textbook

asked Aug 22, 2021 at 11:18

-4 votes

2 answers

152 views

Theorem 16.5, Munkres' Analysis on Manifolds [closed]

asked Jun 27 at 4:32

Stack Exchange Network

30 Questions

The proof about Cauchy's Integral Formula in Ahlfors' Complex Analysis

Mistakes in proving $\int_{\gamma}\frac{dz}{z-a}=2k\pi i$ in Ahlfors' Complex Analysis

Confusions about the definition of "residue" in Ahlfors' Complex Analysis

confused about Lemma 5.28 in Rotman's A First Course in Abstract Algebra

A question about Dedekind cut in Rudin's Principles of Mathematical Analysis

A question about multiplication of Dedekind cuts

A confusion about the radius of convergence in Ahlfors' "Complex Analysis"?

Why "it suffices to consider the case m=1" Theorem 9.21 in Rudin's Principles of Mathematical Analysis?

How to understand $Im \left[\frac{z-a}{b}\right] <0 $ is a half plane?

Harmonic conjugated functions and simply connected domain in wikipedia

A mistake in Munkres' Analysis on Manifolds about proving if $D$ has measure zero in $\mathbf{R}^{n}$, then $\int_{Q}f$ exists

Proof of the Chain Rule of multivariable functions in Munkres' Analysis on Manifolds

Is $\int_0^{\pi}\log \sin \theta d\theta$ not well-defined?

Question about Lemma 19.1 in Munkres' Analysis on Manifolds

A contradiction about an open set whose boundary is not of measure zero. [duplicate]

How to prove $\oint_{A}\mathbf{E}\cdot d\mathbf{A}=\frac{q}{\epsilon_{0}}$ mathematically and rigorously?

How to calculate $\int_{C_a} \frac{e^z}{(z-a)(z-b)}dz$?

How to prove $f(z)=a_0+a_1z+\cdots+a_nz^n+\cdots$, which has infinite items, is an analytic function? [duplicate]

I find a "mistake" on p.40 in Ahlfors' "Complex Analysis"?

Why will $u$ and $v$ have continuous partial derivatives of all orders if $f$ is an analytic function in Ahlfors' Complex Analysis?

A confusion about Cauchy's Theorem for a Rectangle in Ahlfors' Complex Analysis?

A problem about Cauchy's Theorem in a Disk in Ahlfors' Complex Analysis?

Confusions about proof of Cauchy-Riemann equations for $r$ and $\theta$

How to evaluate the following integral in Chapter 2 of Griffiths' Introduction to Electrodynamics?

How to understand the integral in the Fourier coefficient?

confused about a statement of pure extension in Rotman's abstract algebra textbook

confused about Lemma 5.33 (about Galois Theory) in Rotman's textbook

A problem about Sylow Theorem [closed]

confused about the inverse function theorem in Rudin's textbook

Theorem 16.5, Munkres' Analysis on Manifolds [closed]