Biomechanics: A Case-Based Approach focuses on the comprehension, retention, and application of the core concepts of biomechanics using problem-based learning strategies. The book features a broad range of case studies and examples to illustrate key content throughout the text. Relevant and realistic problems provide students with the opportunity to associate what they're learning in class to real-life applications in the field. Relevant and realistic problems provide students with the opportunity to associate what they're learning in the class with real life on-the-job situations. Biomechanics: A Case-Based Approach, offers a unique approach to understanding biomechanical concepts through the use of mathematics problems. The conversational writing style engages students' attention while not sacrificing the rigor of the content. Case studies and real-world examples illustrate key content areas while competency checks, located at the conclusion of each major section, correspond to the first three areas of Bloom's Taxonomy: remember, understand, and apply. Biomechanics: A Case-Based Approach employs the technique of guided discover to ensure that all students understand the concepts of biomechanics. To accommodate a variety of student learning styles, content is presented physically, graphically, and mathematically. Key features: Learning Objectives found at the beginning of each chapter address the objectives of each lesson Definitions presented in the margins of the text help define new words each time they appear Important Points provide summaries in the margin throughout the text Essential Math boxes provide a review of essential math before it is presented in the text Applied Research helps to illustrate biomechanical concepts Competency Checks found at the conclusion of major sections ask conceptual and quantitative questions to foster critical thinking and further student comprehension End of Chapter Pedagogy includes: a Chapter Summary and Conclusion, Review Questions, and a list of Chapter References
"For he who knows not mathematics cannot know any other sciences; what is more, he cannot discover his own ignorance or find its proper remedies. " [Opus Majus] Roger Bacon (1214-1294) The material presented in these monographs is the outcome of the author's long-standing interest in the analytical modelling of problems in mechanics by appeal to the theory of partial differential equations. The impetus for wri ting these volumes was the opportunity to teach the subject matter to both undergraduate and graduate students in engineering at several universities. The approach is distinctly different to that which would adopted should such a course be given to students in pure mathematics; in this sense, the teaching of partial differential equations within an engineering curriculum should be viewed in the broader perspective of "The Modelling of Problems in Engineering" . An engineering student should be given the opportunity to appreciate how the various combination of balance laws, conservation equa tions, kinematic constraints, constitutive responses, thermodynamic restric tions, etc., culminates in the development of a partial differential equation, or sets of partial differential equations, with potential for applications to en gineering problems. This ability to distill all the diverse information ab out a physical or mechanical process into partial differential equations is a par ticular attraction of the subject area."
During the past decade we have had to confront a series of control design probÂ lems - involving, primarily, multibody electro-mechanical systems - in which nonlinearity plays an essential role. Fortunately, the geometric theory of nonÂ linear control system analysis progressed substantially during the 1980s and 90s, providing crucial conceptual tools that addressed many of our needs. However, as any control systems engineer can attest, issues of modeling, computation, and implementation quickly become the dominant concerns in practice. The probÂ lems of interest to us present unique challenges because of the need to build and manipulate complex mathematical models for both the plant and controller. As a result, along with colleagues and students, we set out to develop computer algebra tools to facilitate model building, nonlinear control system design, and code generation, the latter for both numerical simulation and real time conÂ an outgrowth of that continuing effort. As trol implementation. This book is a result, the unique features of the book includes an integrated treatment of nonlinear control and analytical mechanics and a set of symbolic computing software tools for modeling and control system design. By simultaneously considering both mechanics and control we achieve a fuller appreciation of the underlying geometric ideas and constructions that are common to both. Control theory has had a fruitful association with analytical mechanics from its birth in the late 19th century.
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