Bauer, F.L., Munich Institute of Technology, Munchen, Germany

Decrypted Secrets
Methods and Maxims of Cryptology, 3rd rev. and updated ed. 2002.

XII, 474 pp. 167 figs., 26 tabs., 16 color plates. Hardcover
3-540-42674-4

Cryptology, for millennia a "secret science", is rapidly gaining in practical importance for the protection of communication channels, databases, and software. Beside its role in computerized information systems (public key systems), more and more applications within computer systems and networks are appearing, which also extend to access rights and source file protection.
The first part of this book treats secret codes and their uses - cryptography. The second part deals with the process of covertly decrypting a secret code - cryptanaly-sis - where in particular advice on assessing methods is given. The book presupposes only elementary mathematical knowledge. Spiced with a wealth of exciting, amusing, and sometimes personal stories from the history of cryptology, it will also interest general readers.
"Decrypted Secrets" has become a standard book on cryptology. This 3rd edition has again been revised and extended in many technical and biographical details.
"The best single book on cryptology today" (David Kahn, Cryptologia)
"For those who work actively with cryptology this book is a must. For amateurs it is an important dictionary which in many cases will guide them to make their ciphers more secure." (Arne Fransen, International Intelligence History Study Group)

Keywords: Cryptography, cryptanalysis, public keys, cryptosystems

Bertlmann, R.A., University of Vienna, Austria;
Zeilinger, A., University of Vienna, Austria (Eds.)

Quantum (Un)speakables
From Bell to Quantum Information

2002. Approx. 500 pp. 120 figs. Hardcover
3-540-42756-2

This outstanding collection of essays in commemoration of John S. Bell is the result of the "Quantum (Un)speakables" conference organised by the University of Vienna. The title was taken from a famous note written by John Bell during the "Schrodinger Symposium" of 1987. The book leads the reader from the foundations of quantum mechanics to quantum entanglement, quantum cryptography, and quantum information, and is written for all those who need more insight into this new area of physics.

Keywords: Bell's inequalities, Quantum information, Quantum non-locality, Quantum entanglement, Anomalies in quantum fields

Contents: John S. Bell - The Man.- Tests of Bell's Inequalities.- Quantum Information.- Quantum Ideas.- Quantum Specials.- Particles and Fields.

Meeks, W.H.III, University of Massachusetts, Amherst, MA, USA;
Ros, A., Universidad de Granada, Spain;
Rosenberg, H., Universite de Paris VII, France

The Global Theory of Minimal Surfaces in Flat Spaces

Lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Martina Franca, Italy, June 7-14, 1999 Pirola, G.P., Universita di Pavia, Italy (Ed.)

2002. X, 117 pp. Softcover
3-540-43120-9

In the second half of the twentieth century the global theory of minimal surface in flat space had an unexpected and rapid blossoming. Some of the classical problems were solved and new classes of minimal surfaces found.
Minimal surfaces are now studied from several different viewpoints using methods and techniques from analysis (real and complex), topology and geometry. In this lecture course, Meeks, Ros and Rosenberg, three of the main architects of the modern edifice, present some of the more recent methods and developments of the theory. The topics include moduli, asymptotic geometry and surfaces of constant mean curvature in the hyperbolic space.

Keywords: differential geometry, minimal surfaces, global Mathematics Subject Classification 2000 : 53A10, 53C40

Contents: William H. Meeks III: Minimal Surfaces in Flat Three Dimensional Spaces.- Joaquin Perez, Antonio Ros: Properly embedded minimal surfaces with finite total curvature.- Harold Rosenberg: Bryant Surfaces.

Series: Lecture Notes in Mathematics. VOL. 1775

Gomez, C/ Tarasov, V/ Tian, G. / Behrend

Quantum Cohomology

Lectures given at the 4th Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Cetraro, Italy, June 30 - July 8, 1997 Bartolomeis, P.de, Florence, Italy; Dubrovin, B.A., S.I.S.S.A., Trieste, Italy; Reina, C., S.I.S.S.A., Trieste, Italy (Eds.)

2002. VIII, 319 pp. Softcover
3-540-43121-7

The book gathers the lectures given at the C.I.M.E. summer school "Quantum Cohomology" held in Cetraro (Italy) from June 30th to July 8th, 1997. The lectures and the subsequent updating cover a large spectrum of the subject on the field, from the algebro-geometric point of view, to the symplectic approach, including recent developments of string-branes theories and q-hypergeometric functions.

Keywords: quantum cohomology, mirror symmetry, strings and branes Mathematics Subject Classification 2000 : 53D45, 14N35, 81T30, 83E30

Contents: K. Behrend: Localization and Gromov-Witten Invariants.-
C. Gomez: Field, Strings, and Branes.-
V. Tarasov: q-Hypergeometric Functions and Representation.-
G. Tian: Constructing Symplectic Invariants.

Series: Lecture Notes in Mathematics. VOL. 1776

Chueshov, I., Kharkov National University, Kharkov, Ukraine

Monotone Random Systems Theory and Applications

2002. VIII, 234 pp. Softcover
3-540-43246-9

The aim of this book is to present a recently developed approach suitable for investigating a variety of qualitative aspects of order-preserving random dynamical systems and to give the background for further development of the theory. The main objects considered are equilibria and attractors. The effectiveness of this approach is demonstrated by analysing the long-time behaviour of some classes of random and stochastic ordinary differential equations which arise in many applications.

Keywords: random dynamics, order-preserving, attractors, equilibria Mathematics SubjectClassification ( 2000 ): Primary : 37H10 ; secondary : 34C12, 34F05, 60H10, 37G35

Contents: General Facts about Random Dynamical System.- Generation of Random Dynamical Systems.- Order-Preserving Random Dynamical Systems.- Sublinear Random Dynamical Systems.- Cooperative Random Differential Equations.- Cooperative Stochastic Differential Equations.

Series: Lecture Notes in Mathematics. VOL. 1779

Hemaspaandra, L.A., University of Rochester, NY, USA;
Torenvliet, L., University of Amsterdam, The Netherlands

Theory of Semi-Feasible Algorithms

2002. Approx. 160 pp. Hardcover
3-540-42200-5

This book presents a consolidated survey of the vibrant field of research known as the theory of semi-feasible algorithms. This research stream perfectly showcases the richness of, and contrasts between, the central notions of complexity: running time, nonuniform complexity, lowness, and NP-hardness. Research into semi-feasible computation has already developed a rich set of tools, yet is young enough to have an abundance of fresh, open issues.
Being essentially self-contained, the book requires neither great mathematical maturity nor an extensive background in computational complexity theory or in computer science in general. Newcomers are introduced to the field systematically and guided to the frontiers of current research. Researchers already active in the field will appreciate the book as a valuable source of reference.

Keywords: Complexity, Algorithms, Circuits, Discrete Mathematics, semi-feasible algorithms

Series: Monographs in Theoretical Computer Science. An EATCS Series.