Fluid Dynamics and Linear Elasticity: A First Course in Continuum Mechanics (Springer Undergraduate Mathematics Series) - Softcover

Ruderman, Michael S.

Softcover

ISBN 10: 3030192962 ISBN 13: 9783030192969

Verlag: Springer, 2019

Inhaltsangabe

<P>?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.</P><P>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.</P><P>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.</P>

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Reseña del editor

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.

Biografía del autor

Michael S. Ruderman is Professor of Applied Mathematics at the School of Mathematics and Statistics of the University of Sheffield. His main scientific interest is in hydrodynamic and hydromagnetic wave propagation in the solar and stellar atmospheres. His main achievements are in the field of linear and nonlinear hydromagnetic wave propagation in ionised gases.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2019
• ISBN 10: 3030192962
• ISBN 13: 9783030192969
• Einband: Tapa blanda
• Sprache: Englisch
• Auflage: 1
• Anzahl der Seiten: 308