Linear Algebra and Analytic Geometry for Physical Sciences

• Κύριοι συγγραφείς: Landi, Giovanni (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Zampini, Alessandro (http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Έκδοση: 1st ed. 2018.
• Σειρά: Undergraduate Lecture Notes in Physics,
• Θέματα: Physics.; Matrix theory.; Algebra.; Applied mathematics.; Engineering mathematics.; Geometry.; Computer science-Mathematics.; Mathematical physics.; Mathematical Methods in Physics.; Linear and Multilinear Algebras, Matrix Theory.; Mathematical and Computational Engineering.; Math Applications in Computer Science.; Mathematical Applications in the Physical Sciences.

A self-contained introduction to finite dimensional vector spaces, matrices, systems of linear equations, spectral analysis on euclidean and hermitian spaces, affine euclidean geometry, quadratic forms and conic sections. The mathematical formalism is motivated and introduced by problems from physic...

Πίνακας περιεχομένων:

• Introduction
• Vectors and coordinate systems
• Vector spaces
• Euclidean vector spaces
• Matrices
• The determinant
• Systems of linear equations
• Linear transformations
• Dual spaces
• Endomorphisms and diagonalization
• Spectral theorems on euclidean spaces
• Rotations
• Spectral theorems on hermitian spaces
• Quadratic forms
• Affine linear geometry
• Euclidean affine linear geometry
• Conic sections
• A Algebraic Structures
• A.1 A few notions of Set Theory
• A.2 Groups
• A.3 Rings and Fields
• A.4 Maps between algebraic structures
• A5 Complex numbers
• A.6 Integers modulo a prime number.