Author | รzkaya, Nihat. author |
---|---|
Title | Fundamentals of Biomechanics [electronic resource] : Equilibrium, Motion, and Deformation / by Nihat รzkaya, Margareta Nordin |
Imprint | New York, NY : Springer New York : Imprint: Springer, 1999 |
Edition | Second Edition |
Connect to | http://dx.doi.org/10.1007/978-1-4757-3067-8 |
Descript | XXI, 393 p. online resource |
1 Introduction -- 2 Force Vector -- 3 Moment and Torque -- 4 Statics: Analyses of Systems in Equilibrium -- 5 Applications of Statics to Biomechanics -- 6 Introduction to Deformable Body Mechanics -- 7 Stress and Strain -- 8 Multiaxial Deformations and Stress Analyses -- 9 Mechanical Properties of Biological Tissues -- 10 Introduction to Dynamics -- 11 Linear Kinematics -- 12 Linear Kinetics -- 13 Angular Kinematics -- 14 Angular Kinetics -- 15 Impulse and Momentum -- Appendix A Plane Geometry -- A.l Angles -- A.2 Triangles -- A.3 Law of Sines -- A.4 The Right-Triangle -- A.5 Pythagorean Theorem -- A.6 Sine, Cosine, and Tangent -- A.7 Inverse Sine, Cosine, and Tangent -- Appendix B Vector Algebra -- B.1 Definitions -- B.2 Notation -- B.3 Multiplication of a Vector by a Scalar -- B.4 Negative Vector -- B.5 Addition of Vectors: Graphical Methods -- B.6 Subtraction of Vectors -- B.7 Addition of More Than Two Vectors -- B.8 Projection of Vectors -- B.9 Resolution of Vectors -- B.10 Unit Vectors -- B.11 Rectangular Coordinates -- B.12 Addition of Vectors: Trigonometric Method -- B.13 Three-Dimensional Components of Vectors -- B.14 Dot (Scalar) Product of Vectors -- B.15 Cross (Vector) Product of Vectors -- B.16 Exercise Problems -- Appendix C Calculus -- C.1 Functions -- C.l.l Constant functions -- C1.2 Power functions -- C1.3 Linear functions -- C1.4 Quadratic functions -- C1.5 Polynomial functions -- C1.6 Trigonometric functions -- C1.7 Exponential and logarithmic functions / 365 C.2 The Derivative -- C.2.1 Derivatives of basic functions -- C.2.2 The constant multiple rule -- C.2.3 The sum rule -- C2.4 The product rule -- C.2.5 The quotient rule -- C.2.6 The chain rule -- C.2.7 Implicit differentiation -- C.2.8 Higher derivatives / 372 C.3 The Integral -- C.3.1 Properties of indefinite integrals -- C.3.2 Properties of definite integrals -- C.3.3 Methods of integration -- C.4 Trigonometric Identities Problems -- C.5 The Quadratic Formula -- C.6 Exercise Problems