Titlebook: Mathematical Methods and Quantum Mathematics for Economics and Finance; Belal Ehsan Baaquie Textbook 2020 The Editor(s) (if applicable) an

較早

intrude

978-981-15-6613-4The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor

起波瀾

Textbook 2020for all graduate students, even those not specializing in quantitative finance. This book offers an introductory text on mathematical methods for graduate students of economics and finance–and leading to the more advanced subject of quantum mathematics..?.The content is divided into five major secti

CRAB

Simultaneous Linear Equationsalar products are defined. Linear transformation are interpreted as the action of matrices on vectors and which yields the defining equations of how vectors are transformed under the action of matrices. The generalization of vectors to .-dimensions is made.

GEON

Matricesnants are discussed, and an explanation based on geometry is given for the significance of a determinant being zero. Central ideas of tenor (outer) product, eigenvalues and eigenvectors are discussed. A derivation is given of the spectral decomposition, using 2.2 matrices as an example.

心神不寧

射手座

Integration well defined limit. Definite and indefinite integrals, as well multiple integrals are defined. The integration of special functions is obtained from first principles. Gaussian integration for single and .-variables are studied. Examples from economics and finance are analyzed.

foppish

Differentiationed and used for analyzing the maximum and minimum of functions. The Hessian matrix is defined to study various types of optimization problems that occur in economics; in particular, the Cobb-Douglas production function is used for analyzing the maximization of a firm’s profit. Constrained optimization using the Lagrange multiplier is studied.

GUEER

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