This textbook covers a first course in mechanics on an applied mathematics degree course. Mechanics is introduced here in terms of the motion of a moving particle, with rigid body problems left until the subject is more fully developed. Full treatment of vectors, kinematics and dynamics is given as a precursor to specific discussions of topics in mechanics. Chapter 1 deals with the elementary theory of vectors and assumes limited prior knowledge of vector algebra. The mechanics of a particle is introduced in Chapters 2-8 inclusively, covering aspects such as resisting forces, work and energy, oscillations, central forces including Kepler's law and systems of particles. Chapter 9 is devoted to a full discussion of angular vectors including the theory of rotating axes, and Chapter 10 deals with the theory of moments as required for a full understanding of rigid body mechanics. These two chapters are used in developing the equations of motion as discussed in Chapter 11. The bulk of Chapter 11 is devoted to worked examples in order to demonstrate the many and varied applications of the equations of motion. Both 2- and 3-dimensional applications are discussed. Virtual work and Lagrange's equations are introduced in Chapter 12, and Chapter 13 describes some important techniques used in non-linear mechanics. Illustrative examples are provided throughout each chapter, and a substantial number of exercises is given at the end of each chapter. This book should be of interest to first year degree students in mathematics and applied mathematics.
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When I began to write this book, I originally had in mind the needs of university students in their first year. May aim was to keep the mathematics simple. No advanced techniques are used and there are no complicated applications. The emphasis is on an understanding of the basic ideas and problems which require expertise but do not contribute to this understanding are not discussed. How ever, the presentation is more sophisticated than might be considered appropri ate for someone with no previous knowledge of the subject so that, although it is developed from the beginning, some previous acquaintance with the elements of the subject would be an advantage. In addition, some familiarity with element ary calculus is assumed but not with the elementary theory of differential equations, although knowledge of the latter would again be an advantage. It is my opinion that mechanics is best introduced through the motion of a particle, with rigid body problems left until the subject is more fully developed. However, some experienced mathematicians consider that no introduction is complete without a discussion of rigid body mechanics. Conventional accounts of the subject invariably include such a discussion, but with the problems restricted to two-dimensional ones in the books which claim to be elementary. The mechanics of rigid bodies is therefore included but there is no separate discussion of the theory in two dimensions.
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Book Description Unwin Hyman, 1980. Hardcover. Book Condition: New. Bookseller Inventory # DADAX0045100586