Non-Archimedean analysis: a systematic approach to rigid analytic geometry
Gespeichert in:
| Beteiligte Personen: | , , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
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Berlin ; Heidelberg ; New York ; Tokyo
Springer
[1984]
|
| Schriftenreihe: | Grundlehren der mathematischen Wissenschaften
261 |
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| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000096431&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | Hier auch später erschienene, unveränderte Nachdrucke |
| Umfang: | XII, 436 Seiten |
| ISBN: | 3540125469 9783540125464 0387125469 9783642522314 |
Internformat
MARC
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| 020 | |a 9783540125464 |c hardcover |9 978-3-540-12546-4 | ||
| 020 | |a 0387125469 |c hardcover |9 0-387-12546-9 | ||
| 020 | |a 9783642522314 |c softcover |9 978-3-642-52231-4 | ||
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| 084 | |a MAT 127f |2 stub | ||
| 084 | |a MAT 307f |2 stub | ||
| 100 | 1 | |a Bosch, Siegfried |d 1944- |e Verfasser |0 (DE-588)106950827 |4 aut | |
| 245 | 1 | 0 | |a Non-Archimedean analysis |b a systematic approach to rigid analytic geometry |c S. Bosch ; U. Güntzer ; R. Remmert |
| 264 | 1 | |a Berlin ; Heidelberg ; New York ; Tokyo |b Springer |c [1984] | |
| 264 | 4 | |c © 1984 | |
| 300 | |a XII, 436 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Grundlehren der mathematischen Wissenschaften |v 261 | |
| 500 | |a Hier auch später erschienene, unveränderte Nachdrucke | ||
| 650 | 4 | |a Analyse fonctionnelle | |
| 650 | 4 | |a Géométrie analytique | |
| 650 | 7 | |a Niet-archimedische analyse |2 gtt | |
| 650 | 7 | |a Rigide analytische meetkunde |2 gtt | |
| 650 | 4 | |a Functional analysis | |
| 650 | 4 | |a Geometry, Analytic | |
| 650 | 0 | 7 | |a Analytische Geometrie |0 (DE-588)4001867-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a p-adische Zahl |0 (DE-588)4044292-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Nichtarchimedische Analysis |0 (DE-588)4171709-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Funktionalanalysis |0 (DE-588)4018916-8 |2 gnd |9 rswk-swf |
| 653 | 0 | |a Nichtarchimedische Analysis | |
| 653 | 0 | |a Affinoide Algebra | |
| 653 | 0 | |a Rigid-analytische Geometrie | |
| 653 | 0 | |a Analytische Geometrie | |
| 653 | 0 | |a Funktionalanalysis | |
| 689 | 0 | 0 | |a Analytische Geometrie |0 (DE-588)4001867-2 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Funktionalanalysis |0 (DE-588)4018916-8 |D s |
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| 689 | 3 | 1 | |a Nichtarchimedische Analysis |0 (DE-588)4171709-0 |D s |
| 689 | 3 | |5 DE-604 | |
| 700 | 1 | |a Güntzer, Ulrich |d 1941- |e Verfasser |0 (DE-588)172109051 |4 aut | |
| 700 | 1 | |a Remmert, Reinhold |d 1930-2016 |e Verfasser |0 (DE-588)131654764 |4 aut | |
| 830 | 0 | |a Grundlehren der mathematischen Wissenschaften |v 261 |w (DE-604)BV000000395 |9 261 | |
| 856 | 4 | 2 | |m Digitalisierung UB Regensburg |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000096431&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 940 | 1 | |q TUB-www | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-000096431 | |
Datensatz im Suchindex
| DE-BY-TUM_call_number | 0102 MAT 516f 2001 A 8362 |
|---|---|
| DE-BY-TUM_katkey | 56719 |
| DE-BY-TUM_location | 01 |
| DE-BY-TUM_media_number | 040010629837 |
| _version_ | 1821939392666664961 |
| adam_text | Contents
Introduction
...............
Part A. Linear Ultrametric Analysis and Valuation Theory
Chapter
1.
Norms and Valuations
.................... 9
1.1.
Semi-normed and normed groups
....................
ÍI
1.1.1.
Ultrametric
f
unctions
...................... 9
1.1.2.
Filiations
........................... 11
1.1.3.
Semi-normed and normed groups. Ultrametric topology
....... 11
1.1.4.
Distance
........................... 14
1.1.5.
Strictly closed subgroups
.................... 14
I.I.Ü.
Quotient groups
........................
Hi
1.1.7.
Completions
.......................... 17
1.1.8.
Convergent series
........................ 19
1.1.9.
Strict homomorphisms and completions
.............. 21
1.2.
Semi-normed and normed rings
.................... 23
1.2.1.
Semi-normed and normed rings
.................. 23
1.2.2.
Power-multiplicative and multiplicative elements
.......... 25
1.2.3.
The category
9І
and the functor A
—>
A~
............. 26
1.2.4.
Topologically
nilpotent
elements and complete normed rings
..... 26
1.2.5.
Power-bounded elements
.................... 28
1.3.
Power-multiplicative semi-norms
.................... 30
1.3.1.
Definition and elementary properties
............... 30
1.3.2.
Smoothing procedures for semi-norms
............... 32
1.3.3.
Standard examples of norms and semi-norms
............ 34
1.4.
Strictly convergent power series
.................... 35
1.4.1.
Definition and structure of A(X)
................. 35
1.4.2.
Structure of A{X)
....................... 37
1.4.3.
Bounded homomorphisms of A(X)
................ 39
1.5.
Non-Archimedean valuations
..................... 41
1.5.1.
VTalued rings
.......................... 41
1.5.2.
Examples
........................... 42
1.5.3.
The Gauss-Lemma
....................... 43
1.5.4.
Spectral value of monic polynomials
............... 44
1.5.5.
Formal power series in countably many indeterminates
....... 46
Vili
Contents
1.6.
Discrete
valuation rings
.......................
4s
1.0.1.
Definition. Elementary properties
................ 48
1ЛІ.2.
The example of F. K. Schmidt
.................. 50
1.7.
Bald and discrete
Л
-rings.......................
52
1.7.1. ß-rings............................ 53
1.7.2.
Bald rings
........................... 54
1.8.
Quasi-Noetheriati .B-rings
....................... 55
1.8.1.
Definition and characterization
................. 55
1.8.2.
Construction of quasi-Xoetherian rings
..............
OU
Chapter
2.
Normed modules and normed vector spaces
............ 03
2.1.
Xormed and faithfully narmed modules
................ 03
2.1.1.
Definition
........................... 153
2.1.2.
.Submodules
and quotient modules
................
(Зо
2.1.3.
Modules of fractions. Completions
................ 65
2.1.4.
Ramification index
.......................
6(>
2.1.5.
Direct sum. Bounded and restricted direct product
......... 07
2.1.(5.
The module -V (£,
M)
of bounded J-linear maps
.......... 69
2.1.7.
Complete tensor products
.................... 71
2.1.8.
Continuity and boundedness
................... 77
2.1.9.
Density condition
....................... 80
2.1.10.
The functor
M
—
>J/~. Residue degree
.............. 81
2.2.
Examples of normed and faithfully normed
Л
-modules
..........
82
2.2.1.
The module A
........................ 82
2.2.2.
The modules Au A^K c(A) and b(A)
............... 83
2.2.3.
Structure of
y(c¡(A),
M)....................
85
2.2.4.
The ring
Л
ЦІ ,,
] „.
...J
of formal power series
........... 85
2.2.5.
6-separabIe modules
....................... 80
2.2.1).
The functor
M
~
»
T (M) ....................
87
2.3.
Weakly cartesian spaces
....................... 89
2.3.1.
Elementar}
properties of normed spaces
.............. 90
2.3.2.
Weakly cartesian spaces
..................... 90
2.3.3.
Properties of weakly cartesian spaces
............... 92
2.3.4.
Weakly cartesian spaces and tame modules
............ 93
2.4.
( artesian spaces
........................... 94
2.4.1.
( artesian spaces of finite dimension
................ 94
2.4.2.
Finite-dimensional cartesian spaces and strictly closed subspaces
... 96
2.4.3.
Cartesian spaces of arbitrary dimension
.............. 98
2.4.4.
Xormed vector spaces over a spherically complete field
....... 102
2.5.
Strictly cartesian spaces
....................... 104
2.5.1.
Finite-dimensional strictly cartesian spaces
............. 104
2.5.2.
Strictly cartesian spaces of arbitrary dimension
.......... 106
2.0.
Weakly cartesian spaces of countable dimension
............. 107
2.(5.1.
Weakly cartesian bases
..................... 107
2.0.2.
Existence of weakly cartesian bases. Fundamental theorem
..... 108
Contents
IX
2.7. Xormed
vector
spaces of countable type. The Lifting Theorem
.......
HO
2.7.1.
Spaces of countable type
.................... 110
2.7.2. Schauder
bases. Orthogonality and orthonormality
......... 114
2.7.3.
The Lifting Theorem
...................... 118
2.7.4.
Proof of the Lifting Theorem
.................. 119
2.7.5.
Applications
.......................... 121
2.8.
Banach spaces
........................... 122
2.8.1.
Definition. Fundamental theorem
................. 122
2.8.2.
Banach spaces of countable type
................. 123
Chapter
íj.
Extensions of norms and valuations
............... 125
3.1.
Xormed and faithfully normed algebras
................ 125
3.1.1.
^-algebra norms
........................ 126
3.1.2.
Spectral values and power-multiplicative norms
.......... 129
3.1.3.
Residue degree and ramification index
............... 130
3.1.4.
Dedekind s Lemma and a Finiteness Lemma
............ 131
3.1.5.
Power-multiplicative and faithful
Л
-algebra
norms
......... 133
3.2.
Algebraic field extensions. Spectral norm and valuations
......... 134
3.2.1.
Spectral norm on algebraic field extensions
............ 134
3.2.2.
Spectral norm on reduced integral A -algebras
...........
13tí
3.2.3.
Spectral norm and field polynomials
............... 139
3.2.4.
Spectral norm and valuations
.................. 139
3.3.
Classical valuation theory
....................... 141
3.3.1.
Spectral norm and completions
.................. 141
3.3.2.
Construction of inequivalent valuations
.............. 141
3.3.3.
Construction of power-multiplicative algebra norms
......... 142
3.3.4.
Hensel s Lemma
........................ 143
3.4.
Properties of the spectral valuation
................... 145
3.4.1.
Continuity of roots
....................... 145
3.4.2.
Krasner s Lemma
....................... 148
3.4.3.
Example, p-adic numbers
.................... 149
3.5.
Weakly stable fields
......................... 151
3.5.1.
Weakly cartesian fields
..................... 151
3.5.2.
Weakly stable fields
....................... 152
3.5.3.
Criterion for weak stability
................... 154
3.5.4.
Weak stability and
Japaneseness
................. 155
3.6.
Stable fields
............................ 156
3.6.1.
Definition
........................... 156
3.6.2.
Criteria for stability
...................... 157
3.7.
Banach algebras
........................... 163
3.7.1.
Definition and examples
.................... 163
3.7.2.
Finiteness and completeness of modules over a Banach algebra
.... 163
3.7.3.
The category
ША
........................ 164
3.7.4.
Finite homomorphisms
..................... 166
3.7.5.
Continuity of homomorphisms
.................. 167
X
Contents
3.8.
Function algebras
.......................... 168
3.8.1.
The supremum semi-norm on ¿-algebras
.............. 168
3.8.2.
The supremum semi-norm on i-Banach algebras
.......... 174
3.8.3.
Banach function algebras
.................... 178
Chapter
4
(Appendix to Part A). Tame modules and Japanese rings
...... 183
4.1.
Tame modules
........................... 183
4.2.
A Theorem of Dedekind
....................... 184
4.3.
Japanese rings. First criterion for
Japaneseness
............. 185
4.4.
Tameness and
Japaneseness
...................... 186
Part B.
Aîïinoid
algebras
Chapter
ó.
Strictly
convergent
power series
................. 191
5.1.
Definition and elementary properties of Tn and Tn
............ 192
5.1.1.
Description of Tn
........................ 192
5.1.2.
The Gauss norm is a valuation and
Ťn
is a polynomial ring over
к
. . 193
5.1.3.
Going up and down between Tn and
Ťn
.............. 193
5.1.4.
Tn as a function algebra
..................... 196
5.2.
Weierstrass-
Rückert
theory for Tn
................... 200
5.2.1.
Weierstrass
Division Theorem
.................. 200
5.2.2.
Weierstrass
Preparation Theorem
................ 201
5.2.3.
Weierstrass
polynomials and
Weierstrass Finiteness
Theorem
..... 202
5.2.4.
Generation of distinguished power series
.............. 204
5.2.5.
Riickert s theory
........................ 205
5.2.6.
Applications of Riickert s theory for Tn
.............. 207
5.2.7.
Finite ^„-modules
....................... 208
Õ.3.
.Stability of Q{Tn)
.......................... 212
5.3.1.
Weak stability
......................... 212
5.3.2.
The Stability Theorem. Reductions
................ 213
5.3.3.
Stability of
k(X)
if k* is divisible
................ 214
5.3.4.
Completion of the proof for arbitrary
1^*1............. 218
Chapter
6.
А Шпоні
algebras and Piniteness Theorems
............ 221
(i.l. Elementary properties of affinoid algebras
................ 221
6.1.1.
The category
3Í
of ¿-affinoid algebras
............... 221
6.1.2.
N oet her normalization
...................... 227
6.1.3.
Continuity of homomorphisms
.................. 229
6.1.4.
Examples. Generalized rings of fractions
............. 230
6.1.5.
Further examples. Convergent power series on general polydiscs
. . . 234
6.2.
The spectrum of a u-affinoid algebra and the supremum semi-norm
..... 236
6.2.1.
The supremum semi-norm
................... 236
6.2.2.
integral homomorphisms
.................... 238
6.2.3.
Power-bounded and topologically
nilpotent
elemente........
240
6.2.4.
Reduced
í-affinoid
algebras are Banaoh function algebras
...... 242
Contents
XI
6.3.
The reduction functor A
·»->
A
.................... 242
6.3.1.
Monomorphisms, isometries and epimorphisms
........... 243
6.3.2.
Finiteness of homomorphisms
.................. 245
6.3.3.
Applications to group operations
................. 246
6.3.4.
Finiteness of the reduction functor A
-**■
A
............ 247
6.3.5.
Summary
........................... 248
6.4.
The functor A ~
»
Å
......................... 249
6.4.1.
Finiteness Theorems
...................... 249
6.4.2.
Epimorphisms and isomorphisms
................. 252
6.4.3.
Residue norm and supremum norm. Distinguished ¿-affinoid algebras
and epimorphisms
....................... 253
Part C. Rigid analytic geometry
Chapter
7.
Local theory of affinoid varieties
................ 259
7.1.
Affinoid varieties
.......................... 259
7.1.1.
Max Tn and the unit ball
Βη(^)
................. 259
7.1.2.
Affinoid sets. Hubert s
Nullstellensatz .............. 262
7.1.3.
Closed subspaces of Max Tn
................... 265
7.1.4.
Affinoid maps. The category of affinoid varieties
.......... 266
7.1.5.
The reduction functor
...................... 269
7.2.
Affinoid
subdomains
......................... 273
7.2.1.
The canonical topology on Sp A
................. 273
7.2.2.
The universal property defining affinoid
subdomains
........ 276
7.2.3.
Examples of open affinoid
subdomains
.............. 280
7.2.4.
Transitivity properties
..................... 284
7.2.5.
The Openness Theorem
..................... 287
7.2.6.
Affinoid
subdomains
and reduction
................ 291
7.3.
Immersions of affinoid varieties
.................... 293
7.3.1.
Ideal-adic topologies
...................... 293
7.3.2.
Germs of affinoid functions
................... 296
7.3.3.
Locally closed immersions
.................... 301
7.3.4. Runge
immersions
....................... 304
7.3.5.
Main theorem for locally closed immersions
............ 309
Chapter
8.
Čech
eohomology of affinoid varieties
.............. 316
8.1.
Cech
eohomology with values in a presheaf
............... 316
8.1.).
Cohomology of complexes
.................... 316
8.1.2.
Cohomology of double complexes
................. 318
8.1.3.
Čech
cohomology
.....__................... 320
8.1.4.
A Comparison Theorem for
Čech
cohomology
........... 325
8.2.
Tate s Acyclicity Theorem
...................... 327
8.2.1.
Statement of the theorem
.................... 327
8.2.2.
Affinoid coverings
....................... 331
8.2.3.
Proof of the Acyclicity Theorem for Laurent coverings
....... 334
XII Contents
Chapter
9.
Rigid analytic varieties
................. . 336
9.1.
Grotiiendieck topologies
........................
33b
9.1.1.
rr-topological spaces
....................... 330
9.1.2.
Enhancing procedures for (/-topologies
.............. 338
9.1.3.
Pasting of
fť-topological
spaces
.................. 341
9.1.4.
(¿-topologies on affinoid varieties
................. 342
9.2.
.Sheaf theory
............................ 346
9.2.1.
Preshea
ves
and sheaves on G -topologieal spaces
.......... 346
9.2.2.
Sheafification of presheaves
................... 348
9.2.3.
Extension of sheaves
...................... 352
9.3.
Analytic varieties. Definitions and constructions
............. 353
9.3.1.
Locally (7-ringed spaces and analytic varieties
........... 353
9.3.2.
Pasting of analytic varieties
................... 358
9.3.3.
Pasting of analytic maps
.................... 360
9.3.4.
Some basic examples
...................... 301
îl.3.5.
Fibre products
......................... 365
9.3.6.
Extension of the ground field
.................. 368
9.4.
Coherent modules
.......................... 371
9.4.1.
f
-modules
........................... 371
9.4.2.
Associated modules
....................... 373
9.4.3.
It-coherent modules
....................... 377
9.4.4.
Finite morphisms
....................... 382
9.5.
Closed analytic subvarieties
...................... 383
9..J.1. Coherent ideals. The nilradical
.................. 383
9.5.2.
Analytic subsets
........................ 385
9.5.3.
Closed immersions of analytic varieties
..............
38S
9.6.
Separated and proper morphisms
.................... 391
9.6.1.
Separated morphisms
...................... 391
9.6.2.
Proper morphisms
....................... 394
9.6.3.
The Direct Image Theorem and the Theorem on Formal Functions
. . 396
9.7.
An application to elliptic curves
.................... 400
9.7.1.
Families of
annuii
....................... 400
9.7.2.
Affinoid
subdomains
of the unit disc
............... 405
9.7.3.
Tate s elliptic curves
...................... 407
Bibliography
..............................416
Glossary of Notations
..........................421
Index
........................... .427
|
| any_adam_object | 1 |
| author | Bosch, Siegfried 1944- Güntzer, Ulrich 1941- Remmert, Reinhold 1930-2016 |
| author_GND | (DE-588)106950827 (DE-588)172109051 (DE-588)131654764 |
| author_facet | Bosch, Siegfried 1944- Güntzer, Ulrich 1941- Remmert, Reinhold 1930-2016 |
| author_role | aut aut aut |
| author_sort | Bosch, Siegfried 1944- |
| author_variant | s b sb u g ug r r rr |
| building | Verbundindex |
| bvnumber | BV000169353 |
| callnumber-first | Q - Science |
| callnumber-label | QA551 |
| callnumber-raw | QA551 |
| callnumber-search | QA551 |
| callnumber-sort | QA 3551 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 180 SK 380 SK 600 |
| classification_tum | MAT 144f MAT 127f MAT 307f |
| ctrlnum | (OCoLC)9644221 (DE-599)BVBBV000169353 |
| dewey-full | 516.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.3 |
| dewey-search | 516.3 |
| dewey-sort | 3516.3 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV000169353 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T07:16:40Z |
| institution | BVB |
| isbn | 3540125469 9783540125464 0387125469 9783642522314 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000096431 |
| oclc_num | 9644221 |
| open_access_boolean | |
| owner | DE-12 DE-91G DE-BY-TUM DE-384 DE-703 DE-154 DE-739 DE-898 DE-BY-UBR DE-355 DE-BY-UBR DE-20 DE-824 DE-29T DE-19 DE-BY-UBM DE-706 DE-634 DE-83 DE-11 DE-188 |
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| physical | XII, 436 Seiten |
| psigel | TUB-www |
| publishDate | 1984 |
| publishDateSearch | 1984 |
| publishDateSort | 1984 |
| publisher | Springer |
| record_format | marc |
| series | Grundlehren der mathematischen Wissenschaften |
| series2 | Grundlehren der mathematischen Wissenschaften |
| spellingShingle | Bosch, Siegfried 1944- Güntzer, Ulrich 1941- Remmert, Reinhold 1930-2016 Non-Archimedean analysis a systematic approach to rigid analytic geometry Grundlehren der mathematischen Wissenschaften Analyse fonctionnelle Géométrie analytique Niet-archimedische analyse gtt Rigide analytische meetkunde gtt Functional analysis Geometry, Analytic Analytische Geometrie (DE-588)4001867-2 gnd p-adische Zahl (DE-588)4044292-5 gnd Nichtarchimedische Analysis (DE-588)4171709-0 gnd Funktionalanalysis (DE-588)4018916-8 gnd |
| subject_GND | (DE-588)4001867-2 (DE-588)4044292-5 (DE-588)4171709-0 (DE-588)4018916-8 |
| title | Non-Archimedean analysis a systematic approach to rigid analytic geometry |
| title_auth | Non-Archimedean analysis a systematic approach to rigid analytic geometry |
| title_exact_search | Non-Archimedean analysis a systematic approach to rigid analytic geometry |
| title_full | Non-Archimedean analysis a systematic approach to rigid analytic geometry S. Bosch ; U. Güntzer ; R. Remmert |
| title_fullStr | Non-Archimedean analysis a systematic approach to rigid analytic geometry S. Bosch ; U. Güntzer ; R. Remmert |
| title_full_unstemmed | Non-Archimedean analysis a systematic approach to rigid analytic geometry S. Bosch ; U. Güntzer ; R. Remmert |
| title_short | Non-Archimedean analysis |
| title_sort | non archimedean analysis a systematic approach to rigid analytic geometry |
| title_sub | a systematic approach to rigid analytic geometry |
| topic | Analyse fonctionnelle Géométrie analytique Niet-archimedische analyse gtt Rigide analytische meetkunde gtt Functional analysis Geometry, Analytic Analytische Geometrie (DE-588)4001867-2 gnd p-adische Zahl (DE-588)4044292-5 gnd Nichtarchimedische Analysis (DE-588)4171709-0 gnd Funktionalanalysis (DE-588)4018916-8 gnd |
| topic_facet | Analyse fonctionnelle Géométrie analytique Niet-archimedische analyse Rigide analytische meetkunde Functional analysis Geometry, Analytic Analytische Geometrie p-adische Zahl Nichtarchimedische Analysis Funktionalanalysis |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000096431&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000395 |
| work_keys_str_mv | AT boschsiegfried nonarchimedeananalysisasystematicapproachtorigidanalyticgeometry AT guntzerulrich nonarchimedeananalysisasystematicapproachtorigidanalyticgeometry AT remmertreinhold nonarchimedeananalysisasystematicapproachtorigidanalyticgeometry |
Inhaltsverzeichnis
Paper/Kapitel scannen lassen
Paper/Kapitel scannen lassen
Teilbibliothek Mathematik & Informatik
| Signatur: |
0102 MAT 516f 2001 A 8362 Lageplan |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |