As a n n o u n c e d in the preface, the book is entirely devoted to linear p r o g r a m m i n g and contains no chapter on integer, quadratic, or o t h e r n o n l i n e a r p r o g r a m m i n g topics. The book is quite adequate for graduate students attending an intermediate to advanced LP course. A good m i x of t h e o r e t i c a l and p r a c t i c a l exercises can be found at the end of each chapter (including the appendix) and some applications of r e l a t i v e l y large size are also presented. This should perhaps have been an incentive for the authors to include a chapter on computer and software c o n s i d e r a t i o n s linked with l a r g e - s c a l e linear programs; it w o u l d be very d e s i r a b l e indeed that a textbook on linear p r o g r a m m i n g appearing this late in the game contain more i n f o r m a t i o n on 'open questions' and recent d e v e l o p m e n t s of the simplex method, concerning numerical s t a b i l i t y or sparseness, for instance. By C l a u d e - A l a i n Burdet, C a r n e g i e - M e l l o n University. Gerald E. Thompson, "Linear Programming: An E l e m e n t a r y Introduction", The M a c m i l l a n Company, New York, N.Y., 1971. 384 pgs., $ I 0 . 9 5 . ~ ..... [This book] appears to be as r e d u n d a n t as the r e d u n d a n c y inherent in the title. There is nothing new or novel about the approach in this text. Most of the material can be found in one or t w o chapters of the classic "Linear P r o g r a m m i n g and E c o n o m i c A n a l y s i s " by Dorfman and Samuelson, or in B a u m o l ' s " E c o n o m i c Theory and O p e r a t i o n s Analysis". In addition to the basic t r e a t m e n t of linear p r o g r a m m i n g from an economic viewpoint, the author attempts to cover simplex b a s e d on nonlinear p r o g r a m m i n g methods, integer programming, and linear p r o g r a m m i n g under uncertainty. T h e only target audience for this book may be a n o n t e c h n i c a l one that wishes t o get a glimpse of a p o w e r f u l a n a l y t i c a l tool. B y Julius Surkis, Columbia University. C. Van De Panne, "Linear P r o ~ r a m i n g and Related T e c h n i q u e s " , NorthH o l l a n d P u b l i s h i n g - C o m p a n y / A m e r i c a n Elsevier, New York, N.Y., 1971 364 pages, $15.00 ($10.50 in paper). .... [This book] stresses applied aspects of linear programming, such as computer i m p l e m e n t a t i o n and applications to business and e conomi cs. The text is d i r e c t e d at student.s of economics and business administration. It is c o m p r e h e n s i v e in its coverage of s e n s i t i v i t y analysis, economic, network, and t r a n s p o r t a t i o n models, and brancha n d - b o u n d techniques. The author succeeds in p r o v i d i n g a linearalgebra-free p r e s e n t a t i o n of linear programming. However, a prerequisite to student c o m p r e h e n s i o n is the ability of the latter to concentrate a p p r o p r i a t e l y on a rather verbose and intricate treatment. It occurs t o me that a simple m a t r i x approach, e x p l a i n e d properly, might be more readily comprehendible, e s p e c i a l l y to less m a t h e m a t i c a l l y s o p h i s t i c a t e d students. If, however, it is desired to e m p h a s i z e the technique and its applications exclusively, why b o t h e r w i t h m a t h e matical justifications at all? An intuitive e x p l a n a t i o n w o u l d suffice. At any rate, most students using the text in its p r e s e n t form w i l l achieve no more. B y A b r a h a m Engelberg, BEN TABBAI 4, J e r u s a l e m , I s r a e l . Chaiho Kim, "Introduction to Linear P r o g r a m m i n g " , Winston, New York, N.Y., 1971, 544 pages, $14.95. Holt, Rinehart and In his preface, Chaiho K i m states that his text is designed "for those who w i s h to explore in detail the relation b e t w e e n the mathematical foundations of linear p r o g r a m m i n g and the m a n a g e m e n t d e c i s i o n process for the resource allocation problem". The book m a i n t a i n s this

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