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PINTEA Cornel S.
AN INTRODUCTION TO LINEAR ALGEBRA
The aim of this text is twofold. On one hand, it is an orderly and adequate introduction to linear algebra, mainly for students having poor background in mathematics. Basic facts are presented along with many solved numerical exercises. Proofs are rarely provided, only if we feel that the proof itself contributes significantly to the understanding of the result and suggests ways for its application. Missing proofs can be found in the works listed in the Bibliography. On the other hand, beyond Chapter 6 the text becomes more subtle, more challenging, more entertaining and the discussion include[...]
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GEOMETRIE.GEOMETRIE DIFERENŢIALĂ. GEOMETRIE RIEMANNIANĂ. GRUPURI ŞI ALGEBRE LIE
Lucrarea reuneşte noţiuni şi rezultate fundamentale de geometrie diferenţială, geometrie riemanniană şi grupuri şi algebre Lie. Sunt, de asemenea, prezente câteva elemente de teoria fibratelor vectoriale şi teoria omotopiei, necesare dezvoltării celor trei domenii menţionate. Cu excepţia lemelor de deformare şi a teoriei Morse, care sunt pezentate unitar în capitolul 3 al lucrării, restul rezultatelor asupra punctelor critice şi a mulţimilor critice, care apar sporadic de-a lungul lucrării, sunt mai degrabă aplicaţii ale unor fapte demonstrate sau doar menţionate anterior[...]
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GEOMETRIE
Elemente de geometrie analitică. Elemente de geometrie diferențială a curbelor și suprafețelor.[...]
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© Cluj University Press 2012
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