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001    19206034 
003    RPAM 
005    20170613143340.0 
006    a      b    001 0  
007    cr/||||||||||| 
008    170613s2016    riu     ob    001 0 eng   
020    9781470435936 (online) 
040    DLC|beng|erda|cDLC|dRPAM 
050 00 QA214|b.S28 2016 
082 00 512/.32|223 
100 1  Sauloy, Jacques 
245 10 Differential Galois theory through Riemann-Hilbert 
       correspondence :|h[electronic resource] |ban elementary 
       introduction /|cJacques Sauloy 
263    1612 
264  1 Providence, Rhode Island :|bAmerican Mathematical Society,
       |c[2016] 
300    1 online resource (pages cm.) 
336    text|btxt|2rdacontent 
337    unmediated|bn|2rdamedia 
338    volume|bnc|2rdacarrier 
490 0  Graduate Studies in Mathematics, |vv. 177 
504    Includes bibliographical references and index 
505 00 |tChapter 1. The complex exponential function|tChapter 2. 
       Power series|tChapter 3. Analytic functions|tChapter 4. 
       The complex logarithm|tChapter 5. From the local to the 
       global|tChapter 6. Two basic equations and their monodromy
       |tChapter 7. Linear complex analytic differential 
       equations|tChapter 8. A functorial point of view on 
       analytic continuation: Local systems|tChapter 9. Regular 
       singular points and the local Riemann-Hilbert 
       correspondence|tChapter 10. Local Riemann-Hilbert 
       correspondence as an equivalence of categories|tChapter 
       11. Hypergeometric series and equations|tChapter 12. The 
       global Riemann-Hilbert correspondence|tChapter 13. Local 
       differential Galois theory|tChapter 14. The local 
       Schlesinger density theorem|tChapter 15. The universal 
       (Fuchsian local) Galois group|tChapter 16. The universal 
       group as proalgebraic hull of the fundamental group
       |tChapter 17. Beyond local Fuchsian differential Galois 
       theory|tAppendix A. Another proof of the surjectivity of $
       \mathrm {exp}:\mathrm {Mat}_n(\mathbf {C})\rightarrow \
       mathrm {GL}_n(\mathbf {C})$|tAppendix B. Another 
       construction of the logarithm of a matrix|tAppendix C. 
       Jordan decomposition in a linear algebraic group|tAppendix
       D. Tannaka duality without schemes|tAppendix E. Duality 
       for diagonalizable algebraic groups|tAppendix F. Revision 
       problems 
506 1  Access is restricted to licensed institutions 
533    Electronic reproduction.|bProvidence, Rhode Island :
       |cAmerican Mathematical Society.|d2016 
538    Mode of access : World Wide Web 
588    Description based on print version record 
650  0 Galois theory 
650  0 Riemann-Hilbert problems 
650  7 Field theory and polynomials -- Differential and 
       difference algebra -- Differential algebra.|2msc 
650  7 Functions of a complex variable -- Riemann surfaces -- 
       None of the above, but in this section.|2msc 
650  7 Ordinary differential equations -- Instructional 
       exposition (textbooks, tutorial papers, etc.).|2msc 
650  7 Ordinary differential equations -- General theory -- 
       Linear equations and systems, general.|2msc 
650  7 Ordinary differential equations -- Differential equations 
       in the complex domain -- Differential equations in the 
       complex domain.|2msc 
776 0  |iPrint version: |aSauloy, Jacques.|tDifferential Galois 
       theory through Riemann-Hilbert correspondence :|w(DLC)   
       2016033241|x1065-7339|z9781470430955 
856 4  |3Contents|uhttp://www.ams.org/gsm/177 
856 4  |3Contents|uhttps://doi.org/10.1090/gsm/177