عنوان

Exercises and problems in mathematical methods of physics /

شابک

331976165X

شابک

9783319761657

شابک اشتباه

3319761641

شابک اشتباه

9783319761640

عنوان اصلي

Exercises and problems in mathematical methods of physics /

نام عام مواد

[Book]

نام نخستين پديدآور

Giampaolo Cicogna.

محل نشرو پخش و غیره

Cham, Switzerland :

نام ناشر، پخش کننده و غيره

Springer,

تاریخ نشرو بخش و غیره

2018.

نام خاص و کميت اثر

1 online resource (x, 182 pages) :

ساير جزييات

illustrations

عنوان فروست

Undergraduate lecture notes in physics,

شاپا ي ISSN فروست

2192-4791

متن يادداشت

Includes bibliographical references.

متن يادداشت

1 Hilbert spaces -- 1.1 Complete sets, Fourier expansions -- 1.1.1 Preliminary notions. Subspaces. Complete sets -- 1.1.2 Fourier expansions -- 1.1.3 Harmonic functions; Dirichlet and Neumann Problems -- 1.2 Linear operators -- 1.2.1 Linear operators defined giving T en = vn, and related Problems -- 1.2.2 Operators of the form T x = v(w;x) and T x = ån vn(wn;x) -- 1.2.3 Operators of the form T f (x) = j(x) f (x) -- 1.2.4 Problems involving differential operators -- 1.2.5 Functionals -- 1.2.6 Time evolution Problems. Heat equation -- 1.2.7 Miscellaneous Problems -- 2 Functions of a complex variable -- 2.1 Basic properties of analytic functions -- 2.2 Evaluation of integrals by complex variable methods -- 2.3 Harmonic functions and conformal mappings -- 3 Fourier and Laplace transforms. Distributions -- 3.1 Fourier transform in L1(R) and L2(R) -- 3.1.1 Basic properties and applications -- 3.1.2 Fourier transform and linear operators in L2(R) -- 3.2 Tempered distributions and Fourier transforms -- 3.2.1 General properties -- 3.2.2 Fourier transform, distributions and linear operators -- 3.2.3 Applications to ODE's and related Green functions -- 3.2.4 Applications to general linear systems and Green functions -- 3.2.5 Applications to PDE's -- 3.3 Laplace transforms -- vvi Contents -- Groups, Lie algebras, symmetries in physics -- 4.1 Basic properties of groups and representations -- 4.2 Lie groups and algebras -- 4.3 The groups SO3; SU2; SU3 -- 4.4 Other direct applications of symmetries to physics -- Answers and Solutions.

بدون عنوان

0

متن يادداشت

This book presents exercises and problems in the mathematical methods of physics with the aim of offering undergraduate students an alternative way to explore and fully understand the mathematical notions on which modern physics is based. The exercises and problems are proposed not in a random order but rather in a sequence that maximizes their educational value. Each section and subsection starts with exercises based on first definitions, followed by groups of problems devoted to intermediate and, subsequently, more elaborate situations. Some of the problems are unavoidably "routine", but others bring to the forenontrivial properties that are often omitted or barely mentioned in textbooks. There are also problems where the reader is guided to obtain important results that are usually stated in textbooks without complete proofs. In all, some 350 solved problems covering all mathematical notions useful to physics are included. While the book is intended primarily for undergraduate students of physics, students of mathematics, chemistry, and engineering, as well as their teachers, will also find it of value.

منبع سفارش / آدرس اشتراک

Springer Nature

شماره انبار

com.springer.onix.9783319761657

عنوان

Exercises and problems in mathematical methods of physics.

شماره استاندارد بين المللي کتاب و موسيقي

9783319761640

موضوع مستند نشده

Mathematical physics.

موضوع مستند نشده

Fourier Analysis.

موضوع مستند نشده

Functions of a Complex Variable.

موضوع مستند نشده

Group Theory and Generalizations.

موضوع مستند نشده

Integral Transforms, Operational Calculus.

موضوع مستند نشده

Mathematical Methods in Physics.

موضوع مستند نشده

Operator Theory.

موضوع مستند نشده

Physics.

موضوع مستند نشده

Complex analysis, complex variables.

موضوع مستند نشده

Functional analysis & transforms.

موضوع مستند نشده

Groups & group theory.

موضوع مستند نشده

Integral calculus & equations.

موضوع مستند نشده

Mathematical physics.

موضوع مستند نشده

Mathematical physics.

موضوع مستند نشده

Mathematics-- Algebra-- Abstract.

موضوع مستند نشده

Mathematics-- Functional Analysis.

موضوع مستند نشده

Mathematics-- Mathematical Analysis.

موضوع مستند نشده

Science-- Mathematical Physics.

موضوع مستند نشده

PHU

موضوع مستند نشده

SCI040000

شماره

ويراست

شماره رده

مستند نام اشخاص تاييد نشده

Cicogna, Giampaolo,1942-

تاريخ عمليات

20200823110710.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y