04233nam 22006255 450 991096200420332120250811101002.01-4612-0901-310.1007/978-1-4612-0901-0(CKB)3400000000089313(SSID)ssj0001297406(PQKBManifestationID)11739645(PQKBTitleCode)TC0001297406(PQKBWorkID)11362436(PQKB)11175862(DE-He213)978-1-4612-0901-0(MiAaPQ)EBC3074003(PPN)238032906(EXLCZ)99340000000008931320121227d1993 u| 0engurnn#008mamaatxtccrLinear Algebra An Introduction to Abstract Mathematics /by Robert J. Valenza1st ed. 1993.New York, NY :Springer New York :Imprint: Springer,1993.1 online resource (XVIII, 237 p.)Undergraduate Texts in Mathematics,2197-5604Bibliographic Level Mode of Issuance: Monograph0-387-94099-5 1-4612-6940-7 Includes bibliographical references and index.1 Sets and Functions -- 1.1 Notation and Terminology -- 1.2 Composition of Functions -- 1.3 Inverse Functions -- 1.4 Digression on Cardinality -- 1.5 Permutations -- Exercises -- 2 Groups and Group Homomorphisms -- 2.1 Groups and Subgroups -- 2.2 Group Homomorphisms -- 2.3 Rings and Fields -- Exercises -- 3 Vector Spaces and Linear Transformations -- 3.1 Vector Spaces and Subspaces -- 3.2 Linear Transformations -- 3.3 Direct Products and Internal Direct Sums -- Exercises -- 4 Dimension -- 4.1 Bases and Dimension -- 4.2 Vector Spaces Are Free -- 4.3 Rank and Nullity -- Exercises -- 5 Matrices -- 5.1 Notation and Terminology -- 5.2 Introduction to Linear Systems -- 5.3 Solution Techniques -- 5.4 Multiple Systems and Matrix Inversion -- Exercises -- 6 Representation of Linear Transformations -- 6.1 The Space of Linear Transformations -- 6.2 The Representation of Hom(kn,km) -- 6.3 The Representation of Hom(V,V’) -- 6.4 The Dual Space -- 6.5 Change of Basis -- Exercises -- 7 Inner Product Spaces -- 7.1 Real Inner Product Spaces -- 7.2 Orthogonal Bases and Orthogonal Projection -- 7.3 Complex Inner Product Spaces -- Exercises -- 8 Determinants -- 8.1 Existence and Basic Properties -- 8.2 A Nonrecursive Formula; Uniqueness -- 8.3 The Determinant of a Product; Invertibility -- Exercises -- 9 Eigenvalues and Eigenvectors -- 9.1 Definitions and Elementary Properties -- 9.2 Hermitian and Unitary Transformations -- 9.3 Spectral Decomposition -- Exercises -- 10 Triangulation and Decomposition of Endomorphisms -- 10.1 The Cayley-Hamilton Theorem -- 10.2 Triangulation of Endomorphisms -- 10.3 Decomposition by Characteristic Subspaces -- 10.4 Nilpotent Mappings and the Jordan Normal Form -- Exercises -- Supplementary Topics -- 1 Differentiation -- 2 The Determinant Revisited -- 3 Quadratic Forms -- 4 An Introduction to Categories and Functors.Based on lectures given at Claremont McKenna College, this text constitutes a substantial, abstract introduction to linear algebra. The presentation emphasizes the structural elements over the computational - for example by connecting matrices to linear transformations from the outset - and prepares the student for further study of abstract mathematics. Uniquely among algebra texts at this level, it introduces group theory early in the discussion, as an example of the rigorous development of informal axiomatic systems.Undergraduate Texts in Mathematics,2197-5604AlgebraAlgebras, LinearAlgebraLinear AlgebraAlgebra.Algebras, Linear.Algebra.Linear Algebra.51215-01mscValenza Robert Jauthttp://id.loc.gov/vocabulary/relators/aut54714MiAaPQMiAaPQMiAaPQBOOK9910962004203321Linear algebra83097UNINA03622nam 2200673Ia 450 991096831050332120251117064138.01-135-26819-31-282-31608-797866123160810-203-86746-7(CKB)1000000000799826(EBL)456654(OCoLC)526785072(SSID)ssj0000339685(PQKBManifestationID)11237897(PQKBTitleCode)TC0000339685(PQKBWorkID)10365034(PQKB)11106604(MiAaPQ)EBC456654(Au-PeEL)EBL456654(CaPaEBR)ebr10341915(CaONFJC)MIL231608(EXLCZ)99100000000079982620090331d2009 uy 0engur|n|---|||||txtccrLaw and evil philosophy, politics, psychoanalysis /edited by Ari Hirvonen and Janne Porttikivi1st ed.Abingdon, Oxon ;New York Routledge20091 online resource (317 p.)Description based upon print version of record.0-415-68533-8 0-415-49791-4 Includes bibliographical references and index.Book Cover; Title; Copyright; Contents; Acknowledgement; Contributors; Chapter 1 Introduction; Part I Freedom; Chapter 2 Eden/Shangri-la; Chapter 3 Tragedy and evil: From Hölderlin to Heidegger; Chapter 4 Interrupting evil and the evil of interruption: Revisiting the question of freedom; Chapter 5 Wickedness inscribed in freedom: Jean-Luc Nancy on evil; Chapter 6 Arche-evil: Derrida's philosophy explained through the concept of evil; Part II Terror; Chapter 7 Hell on earth: Hannah Arendt in the face of Hitler; Chapter 8 Total evil: The law under totalitarianismChapter 9 The birth of terrorism out of the spirit of the Enlightenment: The subject of Enlightenment and the terrorist sensoriumChapter 10 The catechism of the citizen: Politics, law and religion in, after, with and against Rousseau; Part III Desire; Chapter 11 What's so funny about Infinite Justice?; Chapter 12 Moralization interrupted: On Lacan's thesis of 'the supreme good as radical evil'; Chapter 13 When psychoanalysis meets Law and Evil: Perversion and psychopathy in the forensic clinicChapter 14 'That which in life might prefer death ... ': From the death drive to the desire of the analystBibliography; IndexLaw and Evil opens, expands and deepens our understanding of the phenomenon of evil by addressing the theoretical relationship between this phenomenon and law. Hannah Arendt said 'the problem of evil will be the fundamental question of post-war intellectual life in Europe'. This statement is, unfortunately, more than valid in the contemporary world: not only in the events of war, crimes against humanity, terror, repression, criminality, violence, torture, human trafficking, and so on; but also as evil is used rhetorically to condemn these acts, to categorise their perpetrators, andGood and evilLawPhilosophyGood and evil.LawPhilosophy.340/.15,1ssgnCC 7200rvkCC 7600rvkHirvonen Ari1960-1878911Porttikivi Janne1878912MiAaPQMiAaPQMiAaPQBOOK9910968310503321Law and evil4491858UNINA