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1. Collected papers of G.H.Hardy [1966  ]
 Hardy, G. H. (Godfrey Harold), 18771947.
 Oxford, Clarendon Press, 1966
 Description
 Book — v. ports. 26cm.
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QA3 .H29 V.1  Unknown 
QA3 .H29 V.2  Unknown 
QA3 .H29 V.3  Unknown 
QA3 .H29 V.4  Unknown 
QA3 .H29 V.5  Unknown 
QA3 .H29 V.6  Unknown 
QA3 .H29 V.7  Unknown 
 London : Academic Press, 1967.
 Description
 Book — xviii, 366 p. : ill. ; 23 cm.
 Online
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QA241 .A42 1967  Unknown 
QA241 .A42 1967  Unknown 
3. Algebraic number fields : (Lfunctions and Galois properties) : proceedings of a symposium [1977]
 London ; New York : Academic Press, 1977.
 Description
 Book — xii, 704 p. ; 24 cm.
 Online
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QA247 .A5228  Unknown 
 NATO Advanced Study Institute (1975 : Cambridge, England)
 London ; New York : Academic Press, 1977.
 Description
 Book — xiv, 405 p. : ill. ; 24 cm.
 Online
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QA171 .N37 1975  Unknown 
 SRC/LMS Research Symposium on Representations of Lie Groups (1977 : Oxford, England)
 Cambridge [Eng.] ; New York : Cambridge University Press, 1979.
 Description
 Book — v, 341 p. ; 23 cm.
 Summary

 1. Introduction M. F. Atiyah Part I.
 2. Origins and early history of the theory of unitary group representations G. W. Mackey
 3. Induced representations G. W. Mackey
 4. The geometry and representation theory of compact Lie groups R. Bott
 5. Algebraic structure of Lie groups I. G. Macdonald
 6. Lie groups and physics D. J. Simms
 7. The HarishChandra character M. F. Atiyah Part II.
 8. Representation of semisimple Lie groups W. Schmid
 9. Invariant differential operators and eigenspace representations S. Helgason
 10. Quantization and representation theory B. Kostant
 11. Integral geometry and representation theory D. Kazhdan
 12. On the reflection representation of a finite Chevalley group G. Lusztig.
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QA387 .S14 1977  Unknown 
6. Modular forms [1984]
 Chichester [West Sussex] : E. Horwood ; New York : Halsted Press, 1984.
 Description
 Book — 272 p. : ill. ; 24 cm.
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QA243 .M69 1984  Unknown 
 Cambridge, Cambridgeshire ; New York : Cambridge University Press, 1986.
 Description
 Book — viii, 321 p. ; 23 cm.
 Summary

Volume 2 is divided into three parts: the first 'Surfaces' contains an article by Thurston on earthquakes and by Penner on traintracks. The second part is entitled 'Knots and 3Manifolds' and the final part 'Kleinian Groups'.
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QA612.14 .L73 1986  Unknown 
 Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1987.
 Description
 Book — 323 p. : ill. ; 23 cm.
 Summary

This work and its companion volume form the collected papers from two symposia held at Durham and Warwick in 1984. Volume I contains an expository account by David Epstein and his students of certain parts of Thurston's famous mimeographed notes. This is preceded by a clear and comprehensive account by S. J. Patterson of his fundamental work on measures on limit sets of Kleinian groups.
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QA685 .A5 1987  Unknown 
 LMS Durham Symposium (1989)
 Cambridge ; New York : Cambridge University Press, 1990.
 Description
 Book — 2 v. : ill. ; 23 cm.
 Summary

 v. 1. [without special title]
 v. 2. Symplectic manifolds and JonesWitten theory.
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QA613 .L57 1989 V.1  Unknown 
QA613 .L57 1989 V.2  Unknown 
10. Groups '93 Galway/St Andrews, Galway, 1993 [1995]
 Cambridge [England] ; New York : Cambridge University Press, 1995.
 Description
 Book — 2 v. : illustrations ; 23 cm.
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QA174 .G77 1993 V.1  Unknown 
QA174 .G77 1993 V.2  Unknown 
 Dimassi, M.
 Cambridge : Cambridge University Press, 1999.
 Description
 Book — 227 p. ; 23 cm.
 Summary

 Introduction
 1. Local symplectic geometry
 2. The WKBmethod
 3. The WKBmethod for a potential minimum
 4. Selfadjoint operators
 5. The method of stationary phase
 6. Tunnel effect and interaction matrix
 7. hpseudodifferential operators
 8. Functional calculus for pseudodifferential operators
 9. Trace class operators and applications of the functional calculus
 10. More precise spectral asymptotics for noncritical Hamiltonians
 11. Improvement when the periodic trajectories form a set of measure 0
 12. A more general study of the trace
 13. Spectral theory for perturbed periodic problems
 14. Normal forms for some scalar pseudodifferential operators
 15. Spectrum of operators with periodic bicharacteristics References Index Index of notation.
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QA300 .D477 1999  Unknown 
 Cambridge : Cambridge University Press, 1999.
 Description
 Book — xii, 328 p. : ill. ; 23 cm.
 Summary

 1. Basic Riemannian geometry F. E. Burstall
 2. The Laplacian on Riemannian manifolds I. Chavel
 3. Computational spectral theory E. B. Davies
 4. Isoperimetric and universal inequalities for eigenvalues M. Ashbaugh
 5. Estimates of heat kernels on Riemannian manifolds A. Grigoryan
 6. Spectral theory of the Schroedinger operators on noncompact manifolds: qualitative results M. Shubin
 7. Lectures on wave invariants S. Zelditch.
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QA614.95 .S59 1999  Unknown 
13. The structure of groups of prime power order [2002]
 LeedhamGreen, C. R. (Charles Richard), 1940
 Oxford : Oxford University Press, 2002.
 Description
 Book — xii, 334 p. : ill. ; 24 cm.
 Summary

 1. Preliminaries
 2. New groups from old
 3. pgroups of maximal class
 4. Finite pgroups acting uniserially
 5. Lie Methods
 6. The proof of Conjecture A
 7. Propgroups
 8. Constructing finite pgroups
 9. Homological algebra
 10. Uniserial padic space groups
 11. The structure of finite pgroups
 12. Beyond coclass Bibliography Symbol index index.
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QA177 .L44 2002  Unknown 
 Cambridge, UK ; New York : Cambridge University Press, 2006.
 Description
 Book — xii, 335 p. : ill. ; 23 cm.
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QA613.2 .F86 2006  Unknown 
 Cojocaru, Alina.
 Cambridge, UK ; New York : Cambridge University Press, 2006.
 Description
 Book — xii, 224 p. ; 24 cm.
 Summary

 1. Some basic notions
 2. Some elementary sieves
 3. The normal order method
 4. The Turan sieve
 5. The sieve of Eratosthenes
 6. Brun's sieve
 7. Selberg's sieve
 8. The large sieve
 9. The BombieriVinogradov theorem
 10. The lower bound sieve
 11. New directions in sieve theory Bibliography.
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QA246 .C65 2006  Unknown 
 Humphreys, James E.
 Cambridge, UK ; New York : Cambridge University Press, 2006.
 Description
 Book — xv, 233 p. : ill. ; 23 cm.
 Summary

 1. Finite groups of Lie type
 2. Simple modules
 3. Weyl modules and Lusztig's conjecture
 4. Computation of weight multiplicities
 5. Other aspects of simple modules
 6. Tensor products
 7. BNpairs and induced modules
 8. Blocks
 9. Projective modules
 10. Comparison with Frobenius kernels
 11. Cartan invariants
 12. Extensions of simple modules
 13. Loewy series
 14. Cohomology
 15. Complexity and support varieties
 16. Ordinary and modular representations
 17. DeligneLusztig characters
 18. The groups G2
 19. General and special linear groups
 20. Suzuki and Ree groups Bibliography Frequently used symbols Index.
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QA387 .H86 2006  Unknown 
17. Lectures on Kähler geometry [2007]
 Moroianu, Andrei.
 Cambridge : Cambridge University Press, 2007.
 Description
 Book — ix, 171 p. ; 24 cm.
 Summary

 Introduction Part I. Basics on Differential Geometry:
 1. Smooth manifolds
 2. Tensor fields on smooth manifolds
 3. The exterior derivative
 4. Principal and vector bundles
 5. Connections
 6. Riemannian manifolds Part II. Complex and Hermitian Geometry:
 7. Complex structures and holomorphic maps
 8. Holomorphic forms and vector fields
 9. Complex and holomorphic vector bundles
 10. Hermitian bundles
 11. Hermitian and Kahler metrics
 12. The curvature tensor of Kahler manifolds
 13. Examples of Kahler metrics
 14. Natural operators on Riemannian and Kahler manifolds
 15. Hodge and Dolbeault theory Part III. Topics on Compact Kahler Manifolds:
 16. Chern classes
 17. The Ricci form of Kahler manifolds
 18. The CalabiYau theorem
 19. KahlerEinstein metrics
 20. Weitzenbock techniques
 21. The HirzebruchRiemannRoch formula
 22. Further vanishing results
 23. Ricciflat Kahler metrics
 24. Explicit examples of CalabiYau manifolds Bibliography Index.
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QA649 .M67 2007  Unknown 
18. Lfunctions and Galois representations [2007]
 Cambridge ; New York : Cambridge University Press, 2007.
 Description
 Book — xi, 563 p. : ill. ; 23 cm.
 Summary

 Preface List of participants
 1. StarkHeegner points and special values of Lseries Massimo Bertolini, Henri Darmon and Samit Dasgupta
 2. Presentations of universal deformation rings Gebhard Bockle Eigenvarieties Kevin Buzzard
 3. Nontriviality of RankinSelberg Lfunctions and CM points Christophe Cornut and Vinayak Vatsal
 4. A correspondence between representations of local Galois groups and Lietype groups Fred Diamond
 5. Nonvanishing modulo p of Hecke Lvalues and application Haruzo Hida
 6. Serre's modularity conjecture: a survey of the level one case Chandrashekhar Khare
 7. Two padic Lfunctions and rational points on elliptic curves with supersingular reduction Masato Kurihara and Robert Pollack
 8. From the Birch and SwinnertonDyer Conjecture to noncommutative Iwasawa theory via the Equivariant Tamagawa Number Conjecture  a survey Otmar Venjakob
 9. The AndreOort conjecture  a survey Andrei Yafaev
 10. Locally analytic representation theory of padic reductive groups: a summary of some recent developments Matthew Emerton
 11. Modularity for some geometric Galois representations  with an appendix by Ofer Gabber Mark Kisin
 12. The Euler system method for CM points on Shimura curves Jan Nekova
 13. Representations irreductibles de GL(2, F ) modulo p MarieFrance Vigneras.
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QA247 .L42 2007  Unknown 
19. Algebraic theory of differential equations [2009]
 Cambridge, UK ; New York : Cambridge University Press, 2009.
 Description
 Book — viii, 240 p. : ill. ; 23 cm.
 Summary

 Preface
 1. Galois theory of linear differential equations Michael F. Singer
 2. Solving in closed form Felix Ulmer and JacquesArthur Weil
 3. Factorization of linear systems Sergey P. Tsarev
 4. Introduction to Dmodules Anton Leykin
 5. Symbolic representation and classification of integrable systems A. V. Mikhailov, V. S. Novikov and Jing Ping Wang
 6. Searching for integrable (P)DEs Jarmo Hietarinta
 7. Around differential Galois theory Anand Pillay.
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QA370 .A44 2009  Unknown 
 Adams, William J.
 2nd ed.  Providence, R.I. : American Mathematical Society ; [London] : London Mathematical Society, c2009.
 Description
 Book — xii, 195 p. : ports. ; 26 cm.
 Summary

The name Central Limit Theorem covers a wide variety of results involving the determination of necessary and sufficient conditions under which sums of independent random variables, suitably standardized, have cumulative distribution functions close to the Gaussian distribution. As the name Central Limit Theorem suggests, it is a centerpiece of probability theory which also carries over to statistics. Part One of "The Life and Times of the Central Limit Theorem, Second Edition" traces its fascinating history from seeds sown by Jacob Bernoulli to use of integrals of exp(x2) as an approximation tool, the development of the theory of errors of observation, problems in mathematical astronomy, the emergence of the hypothesis of elementary errors, the fundamental work of Laplace, and the emergence of an abstract Central Limit Theorem through the work of Chebyshev, Markov and Lyapunov. This closes the classical period of the life of the Central Limit Theorem, 17131901. The second part of the book includes papers by Feller and Le Cam, as well as comments by Doob, Trotter, and Pollard, describing the modern history of the Central Limit Theorem (19201937), in particular through contributions of Lindeberg, Cramer, Levy, and Feller. The Appendix to the book contains four fundamental papers by Lyapunov on the Central Limit Theorem, made available in English for the first time.
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QA273.67 .A3 2009  Unknown 