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**Introduction to optimization. (Vvedenie v optimizatsiyu).**
*(Russian)*
Zbl 0652.49002

Moskva: Nauka. 384 p. R. 2.40 (1983).

This extensive tome is a demanding text and handbook on the theory and practice of optimization in finite-dimensional spaces, and is well worth reading. It is written primarily for engineers, economists, statisticians and computer scientists, but can also be recommended for students of mathematics. Besides providing fundamental concepts, theorems, optimality criteria and methods, the author also gives proofs and detailed commentaries. Explanatory illustrations, hints regarding applications and stimulating exercises (without solution) complete the teaching effectiveness of this book, which - except for graph-theoretical aspects - really does not hold back anything that has happened during the last 30 years in the main trends of optimization with regard to procedures; the book is complemented by an extensive bibliography and subject index. The reviewer has one critical comment: the concept of the first variation should not be confused (if only out of regard for Euler and Lagrange) with that of the directional derivative.

### MSC:

49-01 | Introductory exposition (textbooks, tutorial papers, etc.) pertaining to calculus of variations and optimal control |

49J10 | Existence theories for free problems in two or more independent variables |

49K10 | Optimality conditions for free problems in two or more independent variables |

49J05 | Existence theories for free problems in one independent variable |

49K05 | Optimality conditions for free problems in one independent variable |

90-01 | Introductory exposition (textbooks, tutorial papers, etc.) pertaining to operations research and mathematical programming |

90C30 | Nonlinear programming |