عنوان

Linear algebra and analytic geometry for physical sciences /

(Number (ISBN

3319783610

(Number (ISBN

9783319783611

Erroneous ISBN

3319783602

Erroneous ISBN

9783319783604

Country Code

bnb

Number

b624138

Title Proper

Linear algebra and analytic geometry for physical sciences /

General Material Designation

[Book]

First Statement of Responsibility

Giovanni Landi, Alessandro Zampini.

Specific Material Designation and Extent of Item

1 online resource (xii, 345 pages)

Series Title

Undergraduate lecture notes in physics,

ISSN of Series

2192-4791

Text of Note

Includes index.

Text of Note

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.

0

Text of Note

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 physics, notably mechanics (including celestial) and electro-magnetism, with more than two hundreds examples and solved exercises. Topics include: The group of orthogonal transformations on euclidean spaces, in particular rotations, with Euler angles and angular velocity. The rigid body with its inertia matrix. The unitary group. Lie algebras and exponential map. The Dirac's bra-ket formalism. Spectral theory for self-adjoint endomorphisms on euclidean and hermitian spaces. The Minkowski spacetime from special relativity and the Maxwell equations. Conic sections with the use of eccentricity and Keplerian motions. An appendix collects basic algebraic notions like group, ring and field; and complex numbers and integers modulo a prime number. The book will be useful to students taking a physics or engineer degree for a basic education as well as for students who wish to be competent in the subject and who may want to pursue a post-graduate qualification.

Source for Acquisition/Subscription Address

Springer Nature

Stock Number

com.springer.onix. 9783319783611

Title

Linear algebra and analytic geometry for physical sciences.

International Standard Book Number

9783319783604

Algebras, Linear.

Geometry, Analytic.

Algebra.

Algebras, Linear.

Computers-- Data Processing.

Geometry, Analytic.

Geometry.

Mathematical modelling.

Mathematical physics.

Mathematics-- Algebra-- Linear.

Mathematics-- Applied.

Mathematics-- Geometry-- General.

Maths for computer scientists.

Maths for engineers.

Science-- Mathematical Physics.

PHU

SCI040000

Number

Edition

Class number

Landi, Giovanni,1959-

Zampini, Alessandro

Date of Transaction

20201221083301.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

270410

Y