David Eugene Smith and Yoshio Mikami

A History of Japanese Mathematics

One of the first books to show Westerners the nature of Japanese mathematics, this survey
highlights the leading features in the development of the wasan, the Japanese system of mathematics.

Contents: 1. The Earliest Period. 2. The Second Period. 3. The Development of the Soroban. 4. The Sangi
Applied to Algebra. 5. The Third Period. 6. Seki Ko￣wa. 7. Seki’s Contemporaries and Possible Western Influences.
8. The Yenri or Circle Principle. 9. The Eighteenth Century. 10. Ajima Chokuyen. 11. The Opening of
the Nineteenth Century. 12. Wada Nei. 13. The Close of the Old Wasan. 14. The Introduction of Occidental
Mathematics. Index.

Unabridged republication of the edition published by The Open Court Publishing Company,Chicago, 1914. 74 figures.

304pp.
53.8 x 81.2 (13.7 cm. x 21.6 cm.)
0-486-43482-6
May 2004

K. B. Athreya and P. E. Ney

Branching Processes

A unified treatment of the limit theory of branching processes, this volume focuses on basic
techniques. Courses in analysis and probability are prerequisites for this text, which is appropriate
for advanced undergraduate and graduate students.

Contents: I. The Galton-Watson Process. II. Potential Theory. III. One Dimensional Continuous Time
Markov Branching Processes. IV. Age-Dependent Processes. V. Multi-Type Branching Processes. VI. Special
Processes. Bibliography. List of Symbols. Indexes.

Unabridged republication of the edition published by Springer Verlag, Berlin, 1972.

304pp.
53/8 x 81/2 (13.7 cm. x 21.6 cm.)
0-486-43474-5
April 2004

W. W. Bell

Special Functions for Scientists and Engineers

Physics, chemistry, and engineering undergraduate students will benefit from this straightforward
guide to the special functions of mathematical physics. Its topics have wide applications
in quantum mechanics, electrical engineering, and many other fields, and is valuable as
a teaching text as well as an excellent reference book for professionals.

Contents: 1. Series Solution of Differential Equations. 2. Gamma and Beta Functions. 3. Legendre Polynomials
and Functions. 4. Bessel Functions. 5. Hermite Polynomials. 6. Laguerre Polynomials. 7. Chebyshev
Polynomials. 8. Gegenbauer and Jacobi Polynomials. 9. Hypergeometric Functions. 10. Other Special Functions.
Appendices. Hints and Solutions to the Problems. Bibliography. Index.

Unabridged republication of the edition published by D. Van Nostrand Company Ltd., London,1968. 25 figures.

272pp.
53/8 x 81/2 (13.7 cm. x 21.6 cm.)
0-486-43521-0
August 2004

Bela Bollobas

Extremal Graph Theory

Comprehensive yet concise, this treatment of extremal graph theory is appropriate for
advanced undergraduate and graduate students. It features numerous exercises and complete proofs.

Contents: 1. Connectivity. 2. Matching. 3. Cycles. 4. The Diameter. 5. Colourings. 6. Complete Subgraphs.
7. Topological Subgraphs. 8. Complexity and Packing. References. Indexes.

Unabridged republication of the edition published by Academic Press, London, 1978.

512pp.
53/8 x 81/2 (13.7 cm. x 21.6 cm.)
0-486-43596-2
May 2004

Michael C. Gemignani

Basic Concepts of Mathematics and Logic

Intended as a first look at mathematics at the college level, this text emphasizes logic and the
theory of sets, covering a well-chosen selection of important topics in significant depth.

Contents: 1. Introduction. 2. Introduction to Logic. 3. More About Logic. 4. Sets. 5. Set Theory and Logic. 6.
Counting. 7. The Cartesian Product. Functions. 8. Relations. 9. More About Total Ordering. 10. Probability.
11. An Elementary Geometry. 12. Conclusion. Appendix. Answers to Odd-Numbered Exercises. Indexes.

Unabridged republication of the edition published by Addison-Wesley Publishing Company,
Inc., Reading, Massachusetts, 1968. 43 figures. 25 tables.

288pp.
53/8 x 81/2 (13.7 cm. x 21.6 cm.)
0-486-43506-7
April 2004

Ian P. Goulden and David M. Jackson

Combinatorial Enumeration

Graduate-level text presents mathematical theory and problem-solving techniques associated
with enumeration problems, from elementary to research level, for discrete structures and
their substructures. Full solutions to exercises.

Contents: 1. Mathematical Preliminaries. 2. The Combinatorics of the Ordinary Generating Function. 3.
The Combinatorics of the Exponential Generating Function. 4. The Combinatorics of Sequences. 5. The
Combinatorics of Paths. Solutions. References. Index.

Unabridged republication of the edition published by John Wiley & Sons, New York, 1983.

608pp.
53/8 x 81/2 (13.7 cm. x 21.6 cm.)
0-486-43597-0
July 2004

Howard DeLong

A Profile of Mathematical Logic

A popular introduction to mathematical logic for lay readers, this volume explores philosophical
issues and Godel's Theorem. Its widespread influence extends to Douglas Hofstadter,
the author of Godel, Escher, Bach, whose Pulitzer Prize-Winning book was partially inspired
by this work.
Contents: 1. Historical background of mathematical logic. 2. Period of transition. 3. Mathematical logic. 4.
The metatheory of mathematical logic. 5. Philosophical implications of mathematical logic. Epilog. Appendixes.
Answers to Problems. Bibliography. Indexes.
Unabridged republication of the edition published by Addison-Wesley Publishing Company,
Reading, Massachusetts, 1971. 22 figures. 19 tables.
Intended as a first look at mathematics at the college level, this text emphasizes logic and the
theory of sets, covering a well-chosen selection of important topics in significant depth.
Contents: 1. Introduction. 2. Introduction to Logic. 3. More About Logic. 4. Sets. 5. Set Theory and Logic. 6.
Counting. 7. The Cartesian Product. Functions. 8. Relations. 9. More About Total Ordering. 10. Probability.
11. An Elementary Geometry. 12. Conclusion. Appendix. Answers to Odd-Numbered Exercises. Indexes.
Unabridged republication of the edition published by Addison-Wesley Publishing Company,
Inc., Reading, Massachusetts, 1968. 43 figures. 25 tables.

320pp.
53.8 x 81.2 (13.7 cm. x 21.6 cm.)
0-486-43475-3
July 2004

Clayton W. Dodge

Euclidean Geometry and Transformations

“A good textbook.”.Mathematical Gazette

This introduction to Euclidean geometry emphasizes transformations, particularly isometries
and similarities. Suitable for undergraduate courses, it includes numerous examples, many
with detailed answers.

Contents: 1. Modern Elementary Geometry. 2. Isometries in the Plane. 3. Similarities in the Plane. 4. Vectors
and Complex Numbers in Geometry. 5. Inversion. 6. Isometries in Space. Appendixes. Bibliography.
Hints for Selected Exercises. Answers. Index.
Unabridged republication of the edition published by Addison-Wesley Publishing Company,Reading, Massachusetts, 1972.

304pp.
61.8 x 91.4 (15.6 cm. x 23.5 cm.)
0-486-43476-1
May 2004

E. J. Gumbel

Statistics of Extremes

The first text devoted exclusively to extreme values, this volume takes an elementary approach to
methods that maximizes their applications, favoring graphical procedures over tedious calculations.

Contents: 1. Aims and Tools. 2. Order Statistics and their Exceedances. 3. Exact Distribution of Extremes. 4. Analytical
Study of Extremes. 5. The First Asymptotic Distribution. 6. Uses of the First Asymptote. 7. The Second and
Third Asymptotes. 8. The Range. Summary. Bibliography. Index.

Unabridged republication of the edition published by Columbia University Press, New York, 1958.
44 tables. 97 graphs.

400pp.
53/8 x 81/2 (13.7 cm. x 21.6 cm.)
0-486-43604-7
July 2004

Louis A. Hageman and David M. Young

Applied Iterative Methods

This graduate-level text examines the practical use of iterative methods in solving large, sparse systems
of linear algebraic equations and in resolving multidimensional boundary-value problems.
Minimal mathematical background is assumed.

Contents: 1. Background on Linear Algebra and Related Topics. 2. Background on Basic Iterative Methods.
3. Polynomial Acceleration. 4. Chebyshev Acceleration. 5. An Adaptive Chebyshev Procedure Using Special
Norms. 6. Adaptive Chebyshev Acceleration. 7. Conjugate Gradient Acceleration. 8. Special Methods
for Red/Black Partitionings. 9. Adaptive Procedures for the Successive Overrelaxation Method. 10. The
Use of Iterative Methods in the Solution of Partial Differential Equations. 11. Case Studies. 12. The Nonsymmetrizable
Case. Appendixes. Bibliography. Index.

Unabridged republication of the edition published by Academic Press, Inc., San Diego, 1981. 48 figures.
35 tables.

416pp.
53/8 x 81/2 (13.7 cm. x 21.6 cm.)
0-486-43477-X
July 2004