1.

Record Nr.

UNINA9910349348803321

Autore

Ruderman Michael S

Titolo

Fluid Dynamics and Linear Elasticity : A First Course in Continuum Mechanics / / by Michael S. Ruderman

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019

ISBN

3-030-19297-0

Edizione

[1st ed. 2019.]

Descrizione fisica

1 online resource (XIII, 291 p. 86 illus., 3 illus. in color.)

Collana

Springer Undergraduate Mathematics Series, , 1615-2085

Disciplina

531

531.03

Soggetti

Mathematical physics

Mechanics

Mechanics, Applied

Fluids

Acoustics

Mathematical Applications in the Physical Sciences

Theoretical and Applied Mechanics

Fluid- and Aerodynamics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

1 Introduction -- 2 Mathematical Preliminaries -- 3 Continuum Kinematics -- 4 Continuum Dynamics -- 5 Ideal Incompressible Fluids -- 6 Linear Elasticity -- 7 Viscous Incompressible Fluids -- 8 Ideal Barotropic Fluids -- 9 Non-ideal Compressible Fluids -- A Solutions to Problems -- Index.

Sommario/riassunto

This book provides a concise introduction to continuum mechanics, with a particular emphasis on fluid dynamics, suitable for upper undergraduate students in applied mathematics and related subjects. Starting with a preliminary chapter on tensors, the main topic of the book begins in earnest with the chapters on continuum kinematics and dynamics. Following chapters cover linear elasticity and both incompressible and compressible fluids. Special topics of note include nonlinear acoustics and the theory of motion of viscous thermal conducting compressible fluids. Based on an undergraduate course



taught for over a decade, this textbook assumes only familiarity with multivariate calculus and linear algebra. It includes many exercises with solutions and can serve as textbook for lecture courses at the undergraduate and masters level.