02147cam2 22002651 450 SOBE0006645520210525175343.020210525d1737 |||||ita|0103 balatlatITTomus primus continens adnotationes varias Laurentii Abstemii Maceratensis, et Valentis Acidalii Divinationes, et Interpretationes in Plauti Comoedias: accessit his Caroli Neapolis patricii Panormitani Anaptyxis ad P. Ovidii Nasonis Fastos, et horum omnium additamentum Joannis Felicis Palesii Patavini ... Scriptae sunt praeterea singulorum criticorum vitae. Index vero locorum, & memorabilium in tomum secundum brevi proditurum justis de caussis erit conjiciendus ...Florentiaesumtibus [!] Societatis1737[8], 244, [42], 199, [27] p.[1] c. di tav. : ill001SOBE000664542001 Lampas, sive fax artium liberalium, hoc est thesaurus criticus, quem ex otiosa bibliothecarum custodia eruit, & foras prodire jussit Janus Gruterus. In eo infinitis locis theologorum, jurisconsultorum, medicorum, philosophorum, oratorum, historicorum, poetarum, grammaticorum scripta supplentur, corriguntur, illustrantur, notantur ..-1Gruter, Janus <1560-1627>SOBA00017176070190937*Societa *tipografica <Firenze>SOBA00021140650ITBEM20210525RICABEMBEMVII F00778SOBE00066455M 103 Monografia antica SBNMBiblioteca|PrincipessaVII F012-1NO00778DONOborrielloBEMBEM20210525174944.020210525175023.0borrielloTomus primus continens adnotationes varias Laurentii Abstemii Maceratensis, et Valentis Acidalii Divinationes, et Interpretationes in Plauti Comoedias: accessit his Caroli Neapolis patricii Panormitani Anaptyxis ad P. Ovidii Nasonis Fastos, et horum omnium additamentum Joannis Felicis Palesii Patavini ... Scriptae sunt praeterea singulorum criticorum vitae. Index vero locorum, & memorabilium in tomum secundum brevi proditurum justis de caussis erit conjiciendus ..1780548UNISOB04890nam 2200613Ia 450 991046264280332120200520144314.01-61444-212-6(CKB)2670000000418454(EBL)3330448(SSID)ssj0000577672(PQKBManifestationID)11374574(PQKBTitleCode)TC0000577672(PQKBWorkID)10561914(PQKB)10501473(UkCbUP)CR9781614442127(MiAaPQ)EBC3330448(Au-PeEL)EBL3330448(CaPaEBR)ebr10751045(OCoLC)929120403(EXLCZ)99267000000041845419951031d1995 uy 0engur|n|---|||||txtccrLinear algebra problem book[electronic resource] /Paul R. Halmos[Washington, DC] Mathematical Association of Americac19951 online resource (348 p.)Dolciani mathematical expositions ;no. 16Description based upon print version of record.0-88385-322-1 ""Linear Algebra Problem Book""; ""copyright page ""; ""Preface ""; ""Contents""; ""1 SCALARS""; ""1. Double addition""; ""2. Half double addition""; ""3. Exponentiation""; ""4. Complex numbers""; ""5. Affine transformations""; ""6. Matrix multiplication""; ""7. Modular multiplication""; ""8. Small operations""; ""9. Identity elements""; ""10. Complex inverses""; ""11. Affine inverses""; ""12. Matrix inverses""; ""13. Abelian groups""; ""14. Groups""; ""15. Independent group axioms""; ""16. Fields""; ""17. Addition and multiplication in fields""; ""18. Distributive failure""""19. Finite fields""""2 VECTORS""; ""20. Vector spaces""; ""21. Examples""; ""22. Linear combinations""; ""23. Subspaces""; ""24. Unions of subspaces""; ""25. Spans""; ""26. Equalities of spans""; ""27. Some special spans""; ""28. Sums of subspaces""; ""29. Distributive subspaces""; ""30. Total sets""; ""31. Dependence""; ""32. Independence""; ""3 BASES""; ""33. Exchanging bases""; ""34. Simultaneous complements""; ""35. Examples of independence""; ""36. Independence over R and Q""; ""37. Independence in C^2""; ""38. Vectors common to different bases""; ""39. Bases in C^3""""40. Maximal independent sets""""41. Complex as real""; ""42. Subspaces of full dimension""; ""43. Extended bases""; ""44. Finite-dimensional subspaces""; ""45. Minimal total sets""; ""46. Existence of minimal total sets""; ""47. Infinitely total sets""; ""48. Relatively independent sets""; ""49. Number of bases in a finite vector space""; ""50. Direct sums""; ""51. Quotient spaces""; ""52. Dimension of a quotient space""; ""53. Additivity of dimension""; ""4 TRANSFORMATIONS""; ""54. Linear transformations""; ""55. Domain and range""; ""56. Kernel""; ""57. Composition""""78. Reflexivity""""79. Annihilators""; ""80. Double annihilators""; ""81. Adjoints""; ""82. Adjoints of projections""; ""83. Matrices of adjoints""; ""6 SIMILARITY""; ""84. Change of basis: vectors""; ""85. Change of basis: coordinates""; ""86. Similarity: transformations""; ""87. Similarity: matrices""; ""88. Inherited similarity""; ""89. Similarity: real and complex""; ""90. Rank and nullity""; ""91. Similarity and rank""; ""92. Similarity of transposes""; ""93. Ranks of sums""; ""94. Ranks of products""; ""95. Nullities of sums and products""; ""96. Some similarities""""97. Equivalence""Linear Algebra Problem Book can be either the main course or the dessert for someone who needs linear algebra—and nowadays that means every user of mathematics. It can be used as the basis of either an official course or a program of private study. If used as a course, the book can stand by itself, or if so desired, it can be stirred in with a standard linear algebra course as the seasoning that provides the interest, the challenge, and the motivation that is needed by experienced scholars as much as by beginning students. The best way to learn is to do, and the purpose of this book is to get the reader to DO linear algebra. The approach is Socratic: first ask a question, then give a hint (if necessary), then, finally, for security and completeness, provide the detailed answer.Dolciani Mathematical ExpositionsAlgebras, LinearAlgebras, LinearProblems, exercises, etcElectronic books.Algebras, Linear.Algebras, Linear512/.5/076Halmos Paul R(Paul Richard),1916-2006.22815MiAaPQMiAaPQMiAaPQBOOK9910462642803321Linear algebra problem book1948760UNINA