Preface.- Notation.- Chapter 1 Basics of Optimal Design.- Chapter 2 Basics of Optimization Theory.- Chapter 3 Basics of Mathematical Programming.- Chapter 4 Basics of Variational Principles and Functional Analysis.- Chapter 5 Boundary Value Problems of Partial Differential Equations.- Chapter 6 Fundamentals of Numerical Analysis.- Chapter 7 Abstract Optimum Design Problem.- Chapter 8 Topology Optimization Problem of Density Variation Type.- Chapter 9 Shape Optimization Problems of Domain Variation Type.- Answers to Practice Problems.- Afterword.- References.- Index.