06674nam 22017655 450 991015474470332120230808192420.01-4008-8243-510.1515/9781400882434(CKB)3710000000631344(SSID)ssj0001651276(PQKBManifestationID)16425629(PQKBTitleCode)TC0001651276(PQKBWorkID)14512364(PQKB)10492814(MiAaPQ)EBC4738723(DE-B1597)467977(OCoLC)979633762(DE-B1597)9781400882434(EXLCZ)99371000000063134420190708d2016 fg engurcnu||||||||txtccrExponential Sums and Differential Equations. (AM-124), Volume 124 /Nicholas M. KatzPrinceton, NJ : Princeton University Press, [2016]©19911 online resource (445 pages) illustrationsAnnals of Mathematics Studies ;305Bibliographic Level Mode of Issuance: Monograph0-691-08599-4 0-691-08598-6 Includes bibliographical references.Frontmatter -- Contents -- Introduction -- CHAPTER 1. Results from Representation Theory -- CHAPTER 2. D.E.'s and D-modules -- CHAPTER 3. The Generalized Hypergeometric Equation -- CHAPTER 4. Detailed Analysis of the Exceptional Cases -- CHAPTER 5. Convolution of D-modules -- CHAPTER 6. Fourier Transforms of Kummer Pullbacks of Hypergeometrics -- CHAPTER 7. The ℓ- adic Theory -- CHAPTER 8. ℓ-adic Hypergeometrics -- CHAPTER 9. G2 Examples, Fourier Transforms, and Hypergeometrics -- CHAPTER 10. ℓ -adic Exceptional Cases -- CHAPTER 11. Reductive Tannakian Categories -- CHAPTER 12. Fourier Universality -- CHAPTER 13. Stratifications and Convolution -- CHAPTER 14. The Fundamental Comparison Theorems -- ReferencesThis book is concerned with two areas of mathematics, at first sight disjoint, and with some of the analogies and interactions between them. These areas are the theory of linear differential equations in one complex variable with polynomial coefficients, and the theory of one parameter families of exponential sums over finite fields. After reviewing some results from representation theory, the book discusses results about differential equations and their differential galois groups (G) and one-parameter families of exponential sums and their geometric monodromy groups (G). The final part of the book is devoted to comparison theorems relating G and G of suitably "corresponding" situations, which provide a systematic explanation of the remarkable "coincidences" found "by hand" in the hypergeometric case.Annals of mathematics studies ;no. 124.Exponential sumsDifferential equationsAdjoint representation.Algebraic geometry.Algebraic integer.Algebraically closed field.Automorphism.Base change.Bernard Dwork.Big O notation.Bijection.Calculation.Characteristic polynomial.Codimension.Coefficient.Cohomology.Comparison theorem.Complex manifold.Conjugacy class.Connected component (graph theory).Convolution.Determinant.Diagram (category theory).Differential Galois theory.Differential equation.Dimension (vector space).Dimension.Direct sum.Divisor.Eigenvalues and eigenvectors.Endomorphism.Equation.Euler characteristic.Existential quantification.Exponential sum.Fiber bundle.Field of fractions.Finite field.Formal power series.Fourier transform.Fundamental group.Fundamental representation.Galois extension.Galois group.Gauss sum.Generic point.Group theory.Homomorphism.Hypergeometric function.Identity component.Identity element.Integer.Irreducibility (mathematics).Irreducible representation.Isogeny.Isomorphism class.L-function.Laurent polynomial.Lie algebra.Logarithm.Mathematical induction.Matrix coefficient.Maximal compact subgroup.Maximal torus.Mellin transform.Monic polynomial.Monodromy theorem.Monodromy.Monomial.Natural number.Normal subgroup.P-adic number.Permutation.Polynomial.Prime number.Pullback.Quotient group.Reductive group.Regular singular point.Representation theory.Ring homomorphism.Root of unity.Scientific notation.Set (mathematics).Sheaf (mathematics).Special case.Subcategory.Subgroup.Subring.Subset.Summation.Surjective function.Symmetric group.Tensor product.Theorem.Theory.Three-dimensional space (mathematics).Torsor (algebraic geometry).Trichotomy (mathematics).Unitarian trick.Unitary group.Variable (mathematics).Exponential sums.Differential equations.512/.73Katz Nicholas M., 59374DE-B1597DE-B1597BOOK9910154744703321Exponential Sums and Differential Equations. (AM-124), Volume 1242839523UNINA05220oam 2200697 450 991081915460332120230721022242.00-8389-9813-51-4416-1910-0(CKB)1000000000785600(EBL)474201(OCoLC)714567136(SSID)ssj0000159849(PQKBManifestationID)12011007(PQKBTitleCode)TC0000159849(PQKBWorkID)10159638(PQKB)10197191(MiAaPQ)EBC474201(MiAaPQ)EBC218929(Au-PeEL)EBL218929(OCoLC)71802754(EXLCZ)99100000000078560020130418d2009|||| u|| |engur|n#||||||||txtrdacontentstirdacontentcrdamediacrrdacarrierFundamentals of collection development and management /Peggy Johnson2nd ed.Chicago :ALA Editions,2009.1 online resource (425 pages) illustrationsDescription based upon print version of record.0-8389-0972-8 Includes bibliographical references and indexFigures; Preface to the Second Edition; Preface to the First Edition; Acknowledgments; Chapter 1; Introduction to Collection Management and Development; Historical Overview; Theories of Selection; Collection Development and Management since 1980; Summary; Notes; Suggested Readings; Chapter 2: Organization and Staffing; Responsibilities and Their Assignment; Skills and Competencies; Learning and Mastery; Organizational Models; Ethical Issues; Performance Evaluation; Summary; Notes; Suggested Readings; Chapter 3: Policy, Planning, and Budgets; Planning in LibrariesCollection Development Policy Statements Budgeting and Finance; Summary; Notes; Suggested Readings; Chapter 4: Developing Collections; Universe of Published Materials; The Selection Process; Acquisitions Options; Diverse Communities and Alternative Literatures; Censorship and Intellectual Freedom; Summary; Notes; Suggested Readings; Chapter 5: Managing Collections; Weeding; Storage; Preservation; Serial Cancellation and the Transition to Electronic-Only Access; Collection Protection and Security; Summary; Notes; Suggested Readings; Chapter 6: Marketing, Liaison, and Outreach ActivitiesWhat Is Marketing? Marketing Concepts in a Library Context; Market Research; Planning and Implementation; Liaison and Outreach; Control; Benefits and Hazards of Liaison and Outreach Activities; Summary; Notes; Suggested Readings; Chapter 7: Collection Analysis:Evaluation and Assessment; Collection Analysis as a Management Tool; Knowing the Collection; Techniques of Collection Analysis; Purposes of Collection Analysis; Historical Overview of Collection Analysis; Electronic Resources and Collection Analysis; Interdisciplinary Fields; Methods of Collection-Based AnalysisMethods of Use- and User-Centered Analysis Planning and Conducting a Collection Analysis Project; Summary; Notes; Suggested Readings; Chapter 8: Cooperative Collection Development and Management; Overview; Types of Cooperative Collection Development; Mechanisms for Cooperative Collection Development; Cooperatives and Acquisition of Electronic Resources; Attributes of Successful Cooperative Collection Development; Challenges to Cooperative Collection Development; Evaluating Cooperative Collection Development; Summary; Notes; Suggested Readings; Chapter 9: Scholarly CommunicationWhat Is the Scholarly Communication System? Scholarly Publishing before the Internet; Changing the Nature of Scholarly Communication; Open Access: Putting the Pieces Together; Issues for Libraries and Roles for Collections Librarians; Summary; Notes; Suggested Readings; Appendix A: Professional Resources for Collection Development and Management; Journals; Electronic Discussion Groups; Professional Associations; Appendix B: Selection Aids; Bibliographical Tools and Directories; Review Sources and Guides to Reviews; Appendix C: Sample Collection Development Policy StatementsSaint Paul Public Library Collection Development PolicyIn this fully updated revision, expert instructor and librarian Peggy Johnson addresses the art in controlling and updating your library's collection.Collection development (Libraries)United StatesCollection management (Libraries)United StatesCollection development (Libraries)Collection management (Libraries)Collection development (Libraries)Collection management (Libraries)Collection development (Libraries)Collection management (Libraries)025.21Johnson Peggy1948-,714882Johnson Peggy1948-714882AU-PeELAU-PeELAU-PeELBOOK9910819154603321Fundamentals of collection development and management3978755UNINA