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ALGEBRA AND RELATED TOPICS
[ MATHEMATICS ] ALGEBRA AND RELATED TOPICS
Monographs in Number Theory - Vol 9 MODULAR AND AUTOMORPHIC FORMS & BEYOND
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by Hossein Movasati (IMPA, Brazil)
The guiding principle in this monograph is to develop a new theory of modular forms which encompasses most of the available theory of modular forms in the literature, such as those for congruence groups, Siegel and Hilbert modular forms, many types of automorphic forms on Hermitian symmetric domains, Calabi – Yau modular forms, with its examples such as Yukawa couplings and topological string partition functions, and even go beyond all these cases. Its main ingredient is the so-called “Gauss – Manin connection in disguise”.
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PROBLEMS IN LINEAR ALGEBRA AND MATRIX THEORY
by Fuzhen Zhang (Nova Southeastern University, USA)
This is the revised and expanded edition of the problem book Linear Algebra: Challenging Problems for Students, now entitled Problems in Linear Algebra and Matrix Theory. This new edition contains about fifty-five examples and many new problems, based on the author’s lecture notes of Advanced Linear Algebra classes at Nova Southeastern University (NSU-Florida) and short lectures Matrix Gems at Shanghai University and Beijing Normal University.
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