Transcription of Basic Algebra - Mathematics and Statistics
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Basic Algebra - Mathematics and Statistics
Basic ,withanappendix ElementaryComplexAnalysis AdvancedRealAnalysisAnthony W. KnappBasic AlgebraAlong with a Companion VolumeAdvanced AlgebraDigital Second Edition, 2016 Published by the AuthorEast Setauket, New , aknappTitle:BasicAlgebraCover:Constructi onofaregularheptadecagon,thestepsshownin colorsequence; (2010):15 01,20 01,13 01,12 01,16 01,08 01,18A05, ,ISBN-13978-0-8176-3248-9c auserBostonDigitalSecondEdition,nottobes old,noISBNc ,images,andotherdatacontainedinthisfile, whichisinportabledocumentformat(PDF),are proprietarytotheauthor,andtheauthorretai nsallrights,includingcopyright, ,trademarks,servicemarks,andsimilaritems ,eveniftheyarenotidentifiedassuch, userBoston,c/oSpringerScience+BusinessMe diaInc.,233 SpringStreet,NewYork,NY10013,USA, ,scholarship,andresearch,andforthesepurp osesonly, ,postitonline,andtransmititdigitallyforp urposesofeducation,scholarship, ( ,EPUB),theymaynoteditit, ,usersmustchargenofee, ,noextractsorquotationsfromthisfilemaybe usedthatdonotconsistofwholepagesunlesspe rmissionhasbeengrantedbytheauthor(andbyB irkh userBostonifappropriate).
VI. MULTILINEAR ALGEBRA 248 1. Bilinear Forms and Matrices 249 2. Symmetric Bilinear Forms 253 3. Alternating Bilinear Forms 256 4. Hermitian Forms 258 5. Groups Leaving a Bilinear Form Invariant 260 6. Tensor Product of Two Vector Spaces 263 7. Tensor Algebra 277 8. Symmetric Algebra 283 9. Exterior Algebra 291 10. Problems 295 VII. ADVANCED ...
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