Mathematical Methods for Mechanics: A Handbook with MATLAB Experiments [Hardcover]

Eckart W. Gekeler (Author)

Book Description

ISBN-10: 3540692789 | ISBN-13: 978-3540692782 | Publication Date: November 17, 2008 | Edition: 1

The interaction between mathematics and mechanics is a never ending source of new developments. This present textbook includes a wide –ranging spectrum of topics from the three body problem and gyroscope theory to bifurcation theory, optimization, control and continuum mechanics of elastic bodies and fluids. For each of the covered topics the reader can practice mathematical experiments by using a large assortment of Matlab-programs which are available on the author’s homepage. The self-contained and clear presentation including Matlab is often useful to teach technical details by the program itself (learning by doing), which was not possible by just presenting the formula in the past. The reader will be able to produce each picture or diagram from the book by themselves and to arbitrarily alter the data or algorithms. Recent Review of the German edition "This book introduces the engineering-oriented reader to all the mathematical tools necessary for solving complex problems in the field of mechanics. The mathematics- oriented reader will find various applications of mathematical and numerical methods for modelling comprehensive mechanical-technical practical problems. Therefore this book will be interesting not only for students of various fields but also for practitioners, development engineers or mathematicians" (Hans Bufler, in: Zentralblatt MATH, 2007, Vol. 1100, Issue 2)

Editorial Reviews

Review

From the reviews: "Gekeler (Universität Stuttgart, Germany) offers a quality handbook of advanced mathematical concepts as they apply to mechanics; the level and extent of mathematics presented here is not available in any other mechanics work … . The volume also covers numerical methods applied to mechanical problems with references to MATLAB code. … Includes 209 examples and 248 references. Summing Up: Recommended. Graduate students, researchers, and faculty." (J. D. Fehribach, Choice, Vol. 46 (11), July, 2009)

From the Back Cover

The interaction between mathematics and mechanics is a never ending source of new developments. Today, challenging problems like space flight, gyroscope motions and tidal currents, can be studied on a laptop, feats that people still in the 1950’s dreamed of accomplishing. The present textbook addresses such problems and moreover, a wide-ranging spectrum of topics from bifurcation theory, optimization and control to rigid-body motion and continuum mechanics of elastic bodies and fluids. It fully encompasses the provision of mathematical tools up to their technical application. Because verifiability is a main element of science and numerical mathematics remain lackluster without demonstrations, a portion of the book is dedicated purely to computations. Due to space limitations the author has transferred this information to his homepage. For each of the covered topics the reader can practice mathematical experiments by using the assortment of Matlab-programs belonging to nearly each chapter. A concise program teaches many technical details in short form and data may be altered ad libitum (learning by doing). The reader will be able to produce each picture or diagram from the book by themselves. Recent Review of the German edition: "This book introduces the engineering-oriented reader to all the mathematical tools necessary for solving complex problems in the field of mechanics. The mathematics- oriented reader will find various applications of mathematical and numerical methods for modelling comprehensive mechanical-technical practical problems. Therefore this book will be interesting not only for students of various fields but also for practitioners, development engineers or mathematicians" (Hans Bufler, in: Zentralblatt MATH, 2007, Vol. 1100, Issue 2)

Product Details

• Hardcover: 640 pages
• Publisher: Springer; 1 edition (November 17, 2008)
• Language: English
• ISBN-10: 3540692789
• ISBN-13: 978-3540692782
• Product Dimensions: 9.4 x 6.3 x 1.6 inches
• Shipping Weight: 2.4 pounds (View shipping rates and policies)
• Amazon Best Sellers Rank: #2,210,798 in Books (See Top 100 in Books)

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