عنوان

Linear algebra and analytic geometry for physical sciences /

شابک

3319783610

شابک

9783319783611

شابک اشتباه

3319783602

شابک اشتباه

9783319783604

کد کشور

bnb

شماره

b624138

عنوان اصلي

Linear algebra and analytic geometry for physical sciences /

نام عام مواد

[Book]

نام نخستين پديدآور

Giovanni Landi, Alessandro Zampini.

نام خاص و کميت اثر

1 online resource (xii, 345 pages)

عنوان فروست

Undergraduate lecture notes in physics,

شاپا ي ISSN فروست

2192-4791

متن يادداشت

Includes index.

متن يادداشت

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.

بدون عنوان

0

متن يادداشت

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.

منبع سفارش / آدرس اشتراک

Springer Nature

شماره انبار

com.springer.onix. 9783319783611

عنوان

Linear algebra and analytic geometry for physical sciences.

شماره استاندارد بين المللي کتاب و موسيقي

9783319783604

موضوع مستند نشده

Algebras, Linear.

موضوع مستند نشده

Geometry, Analytic.

موضوع مستند نشده

Algebra.

موضوع مستند نشده

Algebras, Linear.

موضوع مستند نشده

Computers-- Data Processing.

موضوع مستند نشده

Geometry, Analytic.

موضوع مستند نشده

Geometry.

موضوع مستند نشده

Mathematical modelling.

موضوع مستند نشده

Mathematical physics.

موضوع مستند نشده

Mathematics-- Algebra-- Linear.

موضوع مستند نشده

Mathematics-- Applied.

موضوع مستند نشده

Mathematics-- Geometry-- General.

موضوع مستند نشده

Maths for computer scientists.

موضوع مستند نشده

Maths for engineers.

موضوع مستند نشده

Science-- Mathematical Physics.

موضوع مستند نشده

PHU

موضوع مستند نشده

SCI040000

شماره

ويراست

شماره رده

مستند نام اشخاص تاييد نشده

Landi, Giovanni,1959-

مستند نام اشخاص تاييد نشده

Zampini, Alessandro

تاريخ عمليات

20201221083301.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

کد کاربرگه

270410

تكميل شده

Y