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

Description

Book Synopsis: 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 a textbook for lecture courses at the undergraduate and master's level.

Details

Looking for an accessible and comprehensive introduction to continuum mechanics? Look no further than Fluid Dynamics and Linear Elasticity: A First Course in Continuum Mechanics. This book caters specifically to upper undergraduate students in applied mathematics and related subjects, delivering a concise yet enlightening journey into the fascinating world of fluid dynamics.

Begin your exploration with a preliminary chapter on tensors, setting the stage for a comprehensive understanding of the subject matter. Dive into the heart of continuum mechanics with in-depth coverage of continuum kinematics and dynamics. Gain proficiency in tackling linear elasticity and the complexities of both incompressible and compressible fluids.

What sets this book apart is its inclusion of special topics such as nonlinear acoustics and the theory of motion of viscous thermal conducting compressible fluids—making it an invaluable resource for those seeking a more comprehensive understanding.

Designed around an undergraduate course that has been successfully taught for over a decade, Fluid Dynamics and Linear Elasticity assumes only familiarity with multivariate calculus and linear algebra. Its extensive exercises, complete with solutions, are perfect for reinforcing your comprehension and mastering the concepts. Whether you're an undergraduate student or pursuing a master's degree, this book is an ideal companion for lecture courses.

Unlock the mysteries of continuum mechanics and enhance your understanding with Fluid Dynamics and Linear Elasticity: A First Course in Continuum Mechanics. Don't miss out on this opportunity to elevate your knowledge and excel in applied mathematics. Take the first step towards mastery by getting your copy today!

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