Book reviews
601
T. Hopkins and C. Phillips, Numerical Methods in Practice Computer Science Series, Addison-Wesley o-201-19248-9 (Paper).
Group of six British Universities) to fill part of the documentation
most commonly
methods,
used numerical
The advantages
and disadvantages
Library, International
Publishing Co., Reading Mass., 1988. 308 pp., US $26.95. ISBN
The NAG (Numerical Analysis routines. This book is designed included.
Using the NAG
emphasizing
Library now contains, at Mark gap of that Library. Described
those of the NAG
of the methods
Library,
12, 688 are the
but other methods
are
are discussed.
Contents: 1. Introduction 2. Roots of functions 3. Quadrature 4. Linear equations 5. Curve fitting 6. Ordinary differential Appendices: Solutions
equations to exercises;
NAG
Graphics
Toolpack;
Bibliography;
NAG
Routine
Index;
Index. (WFA)
K.E. Aubert, E. Bombieri and D. Coldfeld, Number Tlieory, Trace Formulas and Discrete Groups, Academic Press, San Diego, California, 1989. 510 pp., US 869.95. ISBN o-12-067570-6. This collection, honoring Atle Selberg, contains 8 lectures summarizing Selberg’s work and 21 research announcements. The papers range over those many topics of interest to Selberg. Included are sieve methods, analytic number theory, the Trace formula, harmonic analysis and discrete groups. (WPA) R. Sedgewick, Algorithms (2nd Edition), Addison-Wesley s9.75. ISBN O-201-06673-4.
Publishing Co., Reading, Mass., 1988. 657 pp, US
This second edition continues the orientation toward algorithms that are of practical use. The book contains forty-five chapters grouped into eight major parts; fundamentals, sorting, searching, string processing, geometric algorithms, graph algorithms, mathematical algorithms and advanced topics (parallel, fast Fourier transforms, NP complete problems etc). The three major changes of the second edition are: A new section covering introductory material on data structures and the design and analysis of algorithms. Second, the analysis of algorithms is developed more fully and more rigorously than previously. And, third, hundreds of figures have been added to amplify the text. The work will be useful as a textbook for an advanced course and for reference use. (WFA) P.H. Winston and B.K.P. Horn, LISP (Third Edition), Addison Wesley, Reading, Mass., 1989. 608 pp, Paperback, US 834.50. ISBN 0-201-08319-l. This third edition retains the broad coverage of previous editions in Artificial Intelligence fields. Topics range from the basics of symbolic manipulation and LISP programming examples of LISP in practice. Some of the topics covered include symbolic manipulation,
and related to detailed basic LISP
Book reviews
602
primitives, properties symbolic
predicates and conditionals, data abstraction and mapping, iteration on numbers and lists, and arrays, macros and backquote, List storage, List reclamation, constraint propagation, pattern
matching,
transition
trees, finding
patterns
in images, etc. (WFA)
S. Baase, Computer Algorithms - Zntroduction to Design and Analysis Reading, Mass., 1988. 415 pp., US $40.95. ISBN O-201-06035-3. The threefold and techniques
goal of this text is to teach algorithms of computational
bounds on problem complexity), is suitable for an upper division
complexity
real problems,
(worst case and average
and to introduce course.
Contents: 1. Analyzing algorithms and problems: 2. Sorting 3. Selection and adversary arguments 4. Graphs and digraphs 5. String matching 6. Dynamic programming 7. Polynomials and matrices 8. Transitive closure, Boolean matrices, 9. NP-complete problems 10. Parallel algorithms.
for solving
principles
(Second Edition), Addison Wesley,
to teach basic principles
behaviour,
the areas of NP completeness
space usage and lower
and parallel
algorithms.
It
and examples
and equivalence
relations
(WFA) H. Chiyokura, Solid Modelling !$39.75. ISBN o-201-19245-4.
with DESZGNBASE,
Addison Wesley, Reading, Mass., 1988. 300 pp., US
Both theory and implementation techniques of solid modelling using DESIGNBASE are Integrated into the book are modelling systems for polyhedra and free-form surfaces. Some of covered include solid modelling in CAD/CAM, interactive modelling system, representation implementation of high-level operations, free-form curves, modelling methods of free-form generation of free-form surfaces, display of solid models etc. Design engineers will find this useful in their operations.
discussed. the topics of solids, surfaces, book very (WFA)
E. Kratzel, Lattice Points (Mathematics and Zts Applications, East European Series), Kluwer Academic Publishers, Dordrecht, 1988.320 pp, Dfl. 198, US $99.50, UK &58. ISBN 90-277-2733-3. The estimation of the number of lattice points in large closed domains of ordinary Euclidean spaces is the subject of this book. Closely related to the problem of estimating exponential sums some interesting applications of that theory to the circle and sphere problems, to Dirichlet’s divisor problem are also studied. The distribution of “powerful” numbers and finite Abelian groups are also investigated. The author’s goal is to acquaint the reader with the fundamental methods, results and literature so that he may read the research papers in this area. (WFA)