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Analysis

Real, Complex, and Functional Analysis
ZaidAlyafey
  • Sticky
Discussions on the convergence of integrals and series
Replies
23
Views
26K
DreamWeaver
DreamWeaver
K
Determine the area, calculate the basis vectors and determine the inner product
Replies
1
Views
505
Alan
A
C
Solving a complex value equation
Replies
4
Views
193
Klaas van Aarsen
Klaas van Aarsen
A
what % is 60M of 6 Billion
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1
Views
116
skeeter
skeeter
mathmari
Sequence of functions : pointwise & uniform convergence
Replies
11
Views
193
Klaas van Aarsen
Klaas van Aarsen
mathmari
Convergence of series
Replies
8
Views
140
mathmari
mathmari
C
Using Cauchy Integral Formula for Laurent Series Coefficients
Replies
2
Views
136
Cbarker1
C
Peter
The Set of Borel Sets ... Axler Pages 28-29 ... ...
Replies
2
Views
137
Peter
Peter
Peter
Smallest Sigma Algebra ... Axler, Example 2.28 ...
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5
Views
149
Peter
Peter
Peter
Sigma Algebras ... Axler Page 26 ...
Replies
2
Views
81
Peter
Peter
Peter
Translation Invariance of Outer Measure ... Axler, Result 2.7 ...
Replies
2
Views
97
Peter
Peter
Peter
Outer measure of an open interval ...
Replies
7
Views
201
Peter
Peter
Peter
Lebesgue Outer Measure ... Carothers, Proposition 16.2 (i) ...
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0
Views
86
Peter
Peter
Peter
Lebesgue Outer Measure ... Carothers, Proposition 16.1 ...
Replies
2
Views
96
Peter
Peter
Peter
Outer measure of a closed interval ... Axler, Result 2.14 ...
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2
Views
97
Peter
Peter
Peter
Outer measure ... Axler, Result 2.14 ... Another Question ...
Replies
3
Views
108
GJA
G
Peter
Lebesgue Outer Measure ... Carothers, Proposition 16.1 ...
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0
Views
73
Peter
Peter
Peter
Outer Measure ... Axler, Result 2.5 ...
Replies
4
Views
240
Peter
Peter
J
Finding the Unique Solution of a Polar System with Variable Radius?
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0
Views
128
Jiggerjaw
J
mathmari
Weierstrass function
2
Replies
38
Views
1K
Klaas van Aarsen
Klaas van Aarsen
Peter
Lebesgue Integration of Simple Functions ... Lindstrom, Lemma 7.4.6 ... ...
Replies
4
Views
541
Peter
Peter
Peter
Measurable Functions ... Lindstrom, Proposition 7.3.7 ... ...
Replies
8
Views
273
Opalg
Opalg
A
monotony of a function
Replies
2
Views
362
Country Boy
C
evinda
Show existence of a,b
Replies
11
Views
277
Klaas van Aarsen
Klaas van Aarsen
Peter
Open Sets in a Discrete Metric Space ... ...
Replies
2
Views
232
Peter
Peter
Peter
Open Sets in R ... ... Willard, Example 2.7 (a) ... ...
Replies
3
Views
351
GJA
G
mathmari
Limits & properties
Replies
23
Views
1K
Klaas van Aarsen
Klaas van Aarsen
S
Need help
Replies
1
Views
540
Prove It
P
mathmari
[SOLVED] Show that the two functions are identical
Replies
4
Views
496
mathmari
mathmari
A
Laplace Convolution
Replies
1
Views
547
Prove It
P
S
hello i would like some help with laplace transforms.
Replies
2
Views
637
Prove It
P
D
need help with evaluating H(t-8t)2cosh(t-8)
Replies
2
Views
552
Prove It
P
Peter
Intermediate Value Theorem ...Silva, Theorem 4.2.1 ... ...
Replies
3
Views
1K
GJA
G
Peter
Intermediate Value Theorem ... Browder, Theorem 3.16 ... ...
Replies
2
Views
978
Peter
Peter
Peter
Increasing Function and Discontinuities ... Browder, Proposition 3.14 ... ...
Replies
1
Views
887
Peter
Peter
Peter
Continuity of f^+ ... Browder Corollary 3.13
Replies
4
Views
587
HallsofIvy
H
Peter
Relatively Open Sets ... Stoll, Theorem 3.1.16 (a) ...
Replies
6
Views
737
Peter
Peter
Peter
Composition of Two Continuous Functions ... Browder, Proposition 3.12 ... ...
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0
Views
426
Peter
Peter
Peter
Increasing Function on an Interval ... Browder, Proposition 3.7 ... ...
Replies
3
Views
455
GJA
G
Peter
Relatively Open Sets ... Another Queston Regarding Stoll, Theorem 3.1.16 (a) ...
Replies
0
Views
217
Peter
Peter
Peter
Continuity of a Function ... Conway, Definition 1.7.1 ... ...
Replies
3
Views
480
Opalg
Opalg
Peter
Riemann Integration .. Existence Result ... Browder, Theorem 5.12 ...
Replies
0
Views
256
Peter
Peter
Peter
Limits of Functions ...Conway, Proposition 2.1.2 ... ...
Replies
0
Views
248
Peter
Peter
Peter
The Riemann and Darboux Integrals ... Browder, Theorem 5.10 ... ...
Replies
1
Views
330
Peter
Peter
Peter
The Riemann Integral ... Conway, Proposition 3.1.4 ...
Replies
2
Views
473
Peter
Peter
Peter
Differentials and Jacobians ... Remarks After Browder Prposition 8.21 ...
Replies
1
Views
459
Peter
Peter
Peter
An Example on Differentials ... Browder Proposition 8.12 ...
Replies
2
Views
561
Peter
Peter
Peter
Differentials/Total Derivatives in R^n ... Browder, Proposition 8.12 ...
Replies
2
Views
480
Peter
Peter
Peter
The Chain Rule in n Dimensions ... Browder Theorem 8.15 - Another Question ...
Replies
1
Views
459
Peter
Peter
L
Partial fraction decomposition
Replies
2
Views
1K
BestMethod
B
Peter
Yet Further Help ... Differentiabilty & Maxima ... Browder, Proposition 8.14 ... ...
Replies
2
Views
477
Peter
Peter
Peter
Differentials in R^n ... Another Remark by Browder, Section 8.2 ... ...
Replies
2
Views
544
Peter
Peter
Peter
The Chain Rule in n Dimensions ... Browder Theorem 8.15
Replies
0
Views
382
Peter
Peter
Peter
Another Question ... Differentiabilty & Maxima ... Browder, Proposition 8.14 ... ...
Replies
0
Views
340
Peter
Peter
Peter
Differentiabilty and Continuity of Vector-Valued Functions ... Browder, Proposition 8.13 ... ...
Replies
2
Views
500
Peter
Peter
Peter
Differentiabilty & Maxima of Vector-Valued Functions ... Browder, Proposition 8.14 ... ...
Replies
2
Views
548
Peter
Peter
Peter
Differentials in R^n ... Remark by Brwder, Section 8.2 ... ...
Replies
7
Views
788
Peter
Peter
Peter
Operator Norm and Sequences ... Yet a Further Question ... Browder, Proposition 8.7 ...
Replies
4
Views
702
Peter
Peter
Peter
Operator Norm and Sequences ... Another Question ... Browder, Proposition 8.7 ...
Replies
4
Views
575
Peter
Peter
Peter
Operator Norm and Cauchy Sequence ... Browder, Proposition 8.7 ...
Replies
1
Views
395
Opalg
Opalg
Peter
Operator Norm and Distance Function ... Browder, Proposition 8.6 ...
Replies
2
Views
350
Peter
Peter
G
calculations with stepfunction(heaviside)
Replies
1
Views
478
Klaas van Aarsen
Klaas van Aarsen
Peter
Operator norm ... Field, Theorem 9.2.9 ...
Replies
2
Views
370
Peter
Peter
Peter
Operator norm --- Remarks by Browder After Lemma 8.4 ...
Replies
2
Views
413
steep
S
Peter
The "Operator Norm" for Linear Transfomations ... Browder, page 179, Section 8.1, Ch. 8 ... ...
Replies
5
Views
941
Peter
Peter
Peter
Operator Norm ... differences between Browder and Field ...
Replies
2
Views
390
Peter
Peter
mathmari
The metrices are topologically but not strongly equivalent
Replies
10
Views
877
Klaas van Aarsen
Klaas van Aarsen
Peter
Could R^n be a field ...?
Replies
3
Views
515
Opalg
Opalg
mathmari
[SOLVED] Strong equivalence of metrices
Replies
4
Views
368
mathmari
mathmari
mathmari
Prove statements about metric
Replies
8
Views
753
mathmari
mathmari
Peter
Cauchy-Riemann Conditions for Differentiability ... Mathews & Howell, Theorem 3.4 ... ...
Replies
0
Views
266
Peter
Peter
Peter
Proof that Arcsin x is continuous ...
Replies
3
Views
532
Peter
Peter
Peter
Differentiation of the Complex Square Root Function ... ... Palka, Example 1.5, Chapter III
Replies
2
Views
424
Peter
Peter
Peter
Yet Another Question on the Complex Square Root Function ... Palka, Example 1.5, Chapter III
Replies
0
Views
339
Peter
Peter
Peter
Further Questions on Complex Square Root Function ... Palka, Example 1.5, Section 1.2, Chapter III
Replies
2
Views
269
Peter
Peter
Peter
Complex Derivatives ... Palka, Examples 1.1 and 1.2, Chapter III, Section 1.2 ...
Replies
2
Views
360
Peter
Peter
Peter
Diiferentiability of Functions of a Complex Variable ... Markushevich, Theorem 7.1 ... ...
Replies
4
Views
430
Peter
Peter
Peter
The Square and Square Root Functions of a Complex Variable ... Gamelin, Ch. 1, Section 4
Replies
3
Views
844
Opalg
Opalg
AutGuy98
Question for Intermediate Analysis (Please Help!)
Replies
1
Views
502
Evgeny.Makarov
E
mathmari
Show that there is no order relation on K
Replies
9
Views
785
Evgeny.Makarov
E
mathmari
Show that there exists a bijection
Replies
8
Views
748
Evgeny.Makarov
E
AutGuy98
Another Question, But This One is About Proving a Function is One-to-One (PLEASE HELP)
Replies
2
Views
610
HallsofIvy
H
Peter
Complex Derivative ... Remark in Apostol, Section 16.1 ... ...
Replies
2
Views
614
Peter
Peter
N
infinite dimentional subspace need not be closed
Replies
1
Views
463
topsquark
topsquark
AutGuy98
Proof of an Infimum Being Equal to the Negative Form of a Supremum (Please Help!)
Replies
2
Views
865
AutGuy98
AutGuy98
AutGuy98
Proof of the Equality of Supremums (Or Something Like That Anyway :) )
Replies
1
Views
420
castor28
castor28
AutGuy98
Infimum and Supremum of a Set (Need Help Finding Them!)
Replies
1
Views
385
Opalg
Opalg
Peter
Complex Variable ... Differentiability Implies Continuity ... Conway and Mathews and Howell ... ...
Replies
2
Views
660
Peter
Peter
Peter
Upper and Lower Linits (lim sup and lim inf) - Denlinger, Theorem2.9.6 (b) ...
Replies
4
Views
981
Peter
Peter
Peter
Another Question on Upper and Lower Limits ... Denlinger, Theorem 2.9.6 (a)
Replies
2
Views
487
Peter
Peter
Peter
Upper and Lower Linits (lim sup and lim inf) - Sohrab Proposition 2.2.39 (a) ...
Replies
6
Views
623
Peter
Peter
Peter
Upper and Lower Linits (lim sup and lim inf) - Sohrab Proposition 2.2.39 (b) ...
Replies
2
Views
422
Peter
Peter
Peter
Compact Metric Spaces and Inverse Functions ... Apostol, Example After Theorem 4.29 ...
Replies
2
Views
584
Peter
Peter
Peter
Functions Continuous on Comapct Sets ... Apostol, Theorem 4.25 ...
Replies
2
Views
547
Peter
Peter
Peter
Limits of Complex Functions ... Zill & Shanahan, Theorem 3.1.1/ A1
Replies
3
Views
690
Peter
Peter
Peter
The Metric Space R^n and Sequences ... Remark by Carothers, page 47 ...
Replies
6
Views
863
Peter
Peter
Peter
The Definition of a Neighborhood and the Definition of an Open Set ... Carothers, Chapters 3 & 4 ...
Replies
2
Views
641
Peter
Peter
Peter
The Discrete Topology and the Discrete Metric Space ... Stromberg, Example 3.10 (b) ...
Replies
2
Views
577
Peter
Peter
Peter
Open Balls in a Normed Vector Space ... Carothers, Exercise 32
Replies
4
Views
765
Peter
Peter
Peter
Neighbourhoods and Open Neighbourhoods ... Browder, Proposition 6.8 ... ...
Replies
3
Views
616
Peter
Peter
Peter
Baire Category Theorem ... Stromberg, Theorem 3.55 ... ...
Replies
7
Views
922
Peter
Peter
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