Edited By
Karl de Leeuw, University of Amsterdam, The Netherlands
Jan Bergstra, University of Amsterdam, Informatics Institute, The Netherlands

THE HISTORY OF INFORMATION SECURITY
A Comprehensive Handbook

Description

Information Security is usually achieved through a mix of technical, organizational and legal measures. These may include the application of cryptography, the hierarchical modeling of organizations in order to assure confidentiality, or the distribution of accountability and responsibility by law, among interested parties. The history of Information Security reaches back to ancient times and starts with the emergence of bureaucracy in administration and warfare. Some aspects, such as the interception of encrypted messages during World War II, have attracted huge attention, whereas other aspects have remained largely uncovered. There has never been any effort to write a comprehensive history. This is most unfortunate, because Information Security should be perceived as a set of communicating vessels, where technical innovations can make existing legal or organisational frame-works obsolete and a breakdown of political authority may cause an exclusive reliance on technical means. This book is intended as a first field-survey. It consists of twenty-eight contributions, written by experts in such diverse fields as computer science, law, or history and political science, dealing with episodes, organisations and technical developments that may considered to be exemplary or have played a key role in the development of this field. These include: the emergence of cryptology as a discipline during the Renaissance, the Black Chambers in 18th century Europe, the breaking of German military codes during World War II, the histories of the NSA and its Soviet counterparts and contemporary cryptology. Other subjects are: computer security standards, viruses and worms on the Internet, computer transparency and free software, computer crime, export regulations for encryption software and the privacy debate.

Audience

This book is suitable for lecturers and practitioners in Computer Security, Privacy Law, Computer & Law, Business Administration and Political Science, University Libraries. It is also suitable for lecturers in the History of Technology, the History of Computing, the History of Intelligence and the Intelligence community.

Contents
Advisory Board Preface Table of Contents 1. Introduction (K. de Leeuw)
Part I. Intellectual Ownership
Part II. Indentity-Management
Part III. Communication Security
Part IV. Computer Security
Part V. Privacy- and Export Regulations
Part VI. Information Warfare

Hardbound, 900 pages, publication date: AUG-2007
ISBN-13: 978-0-444-51608-4
ISBN-10: 0-444-51608-5

Edited By
Demeter Krupka, Palacky University, Department of Algebra and Geometry, Olomouc, Czech Republic
David Saunders, Visiting professor, Palacky University, Olomouc, Czech Republic

HANDBOOK OF GLOBAL ANALYSIS

Description

This is a comprehensive exposition of topics covered by the American Mathematical Society?s classification ?Global Analysis?, dealing with modern developments in calculus expressed using abstract terminology. It will be invaluable for graduate students and researchers embarking on advanced studies in mathematics and mathematical physics. This book provides a comprehensive coverage of modern global analysis and geometrical mathematical physics, dealing with topics such as; structures on manifolds, pseudogroups, Lie groupoids, and global Finsler geometry; the topology of manifolds and differentiable mappings; differential equations (including ODEs, differential systems and distributions, and spectral theory); variational theory on manifolds, with applications to physics; function spaces on manifolds; jets, natural bundles and generalizations; and non-commutative geometry.

Audience

This book is suitable for university mathematics departments, libraries and students in mathematics and mathematical physics.

Contents

Preface Contents 1. Global aspects of Finsler geometry (T. Aikou and L. Kozma) 2. Morse theory and nonlinear differential equations (T. Bartsch, A. Szulkin and M. Willem) 3. Index theory (D. Bleecker) 4. Partial differential equations on closed and open manifolds (J. Eichhorn) 5. Spectral geometry (P. Gilkey) 6. Lagrangian formalism on Grassmann manifolds (D.R. Grigore) 7. Sobolev spaces on manifolds (E. Hebey and F. Robert) 8. Harmonic maps (F. Helein and J.C. Wood) 9. Topology of differentiable mappings (K. Houston) 10. Group actions and Hilbert's fifth problem (S. Illman) 11. Exterior differential systems (N. Kamran) 12. Weil bundles as generalized jet spaces (I. Kolar) 13. Distributions, vector distributions, and immersions of manifolds in Euclidean spaces (J. Korbas) 14. Geometry of differential equations (B. Kruglikov and V. Lychagin) 15. Global variational theory in fibred spaces (D. Krupka) 16. Second Order Ordinary Differential Equations in Jet Bundles and the Inverse Problem of the Calculus of Variations (O. Krupkova and G.E. Prince) 17. Elements of noncommunicative geometry (G. Landi) 18. De Rham cohomology (M.A. Malakhaltsev) 19. Topology of manifolds with corners (J. Margalef-Roig and E. Outerelo Dominguez) 20. Jet manifolds and natural bundles (D.J. Saunders) 21. Some aspects of differential theories (J. Szilasi and R.L. Lovas) 22. Variational sequences (R. Vitolo) 23. The Oka-Grauert-Gromov principle for holomorphic bundles (P-M. Wong) A. Abstracts

Hardbound, 1244 pages, publication date: NOV-2007
ISBN-13: 978-0-444-52833-9
ISBN-10: 0-444-52833-4

Edited By
Kurt Engesser, Kings College London, London, United Kingdom
Dov M. Gabbay, King's College London, United Kingdom
Daniel Lehmann, Hebrew University of Jerusalem, Jerusalem, Israel

HANDBOOK OF QUANTUM LOGIC AND QUANTUM STRUCTURES
Quantum Structures

Description

Since its inception in the famous 1936 paper by Birkhoff and von Neumann entitled ?The logic of quantum mechanics? quantum logic, i.e. the logical investigation of quantum mechanics, has undergone an enormous development. Various schools of thought and approaches have emerged and there are a variety of technical results. Quantum logic is a heterogeneous field of research ranging from investigations which may be termed logical in the traditional sense to studies focusing on structures which are on the border between algebra and logic. For the latter structures the term quantum structures is appropriate. The chapters of this Handbook, which are authored by the most eminent scholars in the field, constitute a comprehensive presentation of the main schools, approaches and results in the field of quantum logic and quantum structures. Much of the material presented is of recent origin representing the frontier of the subject. The present volume focuses on quantum structures. Among the structures studied extensively in this volume are, just to name a few, Hilbert lattices, D-posets, effect algebras MV algebras, partially ordered Abelian groups and those structures underlying quantum probability.

Audience

Libraries, scholars from various fields as logic, philosophy of science, mathematics, physics, computer science, artificial intelligence

Contents

Foreword (A. Dvurecenskij) Editorial Preface (K. Engesser, D. Gabbay and D. Lehmann) New Quantum Structures (A. Dvurecenskij) Quantum Structures and Fuzzy Set Theory (J. Pykasz) Algebraic and Measure-theoretic Properties of Classes of Subspaces of an Inner Product Space (D. Buhagiar, E. Chetcuti and A. Dvurecenskij) Quantum Probability (S. Gudder) Orthomodular Lattices and Orthomodular Posets (P. Ptak and S. Pulmannova) Quantum Logic and Partially Ordered Abelian Groups (D.J. Foulis and R.J. Greechie) Operator Algebras (J. Hamhalter) Constructions of Quantum Structures (M. Navara) D-Posets (F. Chovanec and F. Kopka) Wigner's Theorem and its Generalisations (G. Chevalier) Hilbert Lattices (I. Stubbe and B. van Steirteghem) Ortholattice Equations and Hilbert Lattices (R. Mayet) Decomposition in QL (J. Harding) Starting from the Convex Set of States (E. Beltrametti) QL and Automata Theory (M. Ying) QL and Quantum Computation (N.D. Megill and M. Pavicic) Index

Hardbound, 818 pages, publication date: AUG-2007
ISBN-13: 978-0-444-52870-4
ISBN-10: 0-444-52870-9

Authors: Cameron Bauer

Algebra for Athletes 2nd Edition

Book Description:

Algebra for Athletes capitalizes on the wealth of mathematical knowledge students already possess because of their familiarity with the scorekeeping and motion in sports. In this way, the book takes advanced concepts such as exponents, vector multiplication, and the unit circle to relate them to students everyday lives. While the book is meant to appeal to students who might not otherwise choose to study algebra, it employs highly challenging material, much of which is not taught until engineering school. Thus the book also provides a window to the professional world. Applications in accounting, aeronautical engineering, civil engineering and other fields are presented along with the sports examples.

Table of Contents:

Chapter 1: Why Study Math?
Chapter 2: Algebraic Laws
Chapter 3: Weight Room Mechanics
Chapter 4: Statistics
Chapter 5: The Cartesian Coordinates System;
Chapter 6: Speed
Chapter 7: Systems of Equations
Chapter 8: Vectors
Chapter 9: Parabolas
Chapter 10: Polynomials Operations
Chapter 11: Logarithms
Chapter 12: Cyclical Motion
Chapter 13: Complex Numbers
Chapter 14: Infinite Series
Appendix
Answers

Binding: Hardcover
Pub. Date: 2007, 3rd quarter
ISBN: 1-60021-925-X

J.W.P. Hirschfeld / G. Korchmaros /F. Torres

Algebraic Curves over a Finite Field

ISBN 0691096791 Format Hardback
ISBN13 9780691096797
Publication date 2008

Contents

Preface ix
PART 1. GENERAL THEORY OF CURVES 1
Chapter 1. Fundamental ideas 3
Chapter 2. Elimination theory
Chapter 3. Singular points and intersections 37
Chapter 4. Branches and parametrisation 63
Chapter 5. The function field of a curve 110
Chapter 6. Linear series and the Riemann?Roch Theorem 161
Chapter 7. Algebraic curves in higher-dimensional spaces 199

PART 2. CURVES OVER A FINITE FIELD 275
Chapter 8. Rational points and places over a finite field 277
Chapter 9. Zeta functions and curves with many rational points 332

PART 3. FURTHER DEVELOPMENTS
Chapter 10. Maximal and optimal curves 395
Chapter 11. Automorphisms of an algebraic curve 458
Chapter 12. Some families of algebraic curves 546
Chapter 13. Applications: codes and arcs 590
Appendix A. Background on field theory and group theory 627
A.1 Field theory 627
A.2 Galois theory 633
A.3 Norms and traces 635
A.4 Finite fields 636
A.5 Group theory 638
A.6 Notes 649
Appendix B. Notation 650
Bibliography 655
Index 689

A. Zee
With a new foreword by Roger Penrose

Fearful Symmetry:
The Search for Beauty in Modern Physics

Paper | 2007 |
376 pp. | 6 x 9

Fearful Symmetry brings the incredible discoveries of contemporary physics within everyone's grasp. A. Zee, a distinguished physicist and skillful expositor, tells the exciting story of how today's theoretical physicists are following Einstein in their search for the beauty and simplicity of Nature. Animated by a sense of reverence and whimsy, the book describes the majestic sweep and accomplishments of twentieth-century physics. In the end, we stand in awe before the grand vision of modern physics--one of the greatest chapters in the intellectual history of humankind

Endorsements:

"Fearful Symmetry tells the story of modern physics and contemporary physicists in a most understandable and vivid way. It makes the 'fearful' symmetry simple and accessible, and the burning tigers lively and human. An excellent rendition and an outstanding achievement."--T. D. Lee, Nobel Prize-winning physicist

"To a layman like myself, totally unversed in modern theoretical physics, Zee's book comes as an illumination. Once having grasped the idea of symmetry as an aesthetic and intellectual principle, I found myself, under his guidance, contemplating aspects of the design of the universe of which I never had the faintest glimmer."--John Rupert Martin, Marquand Professor of Art and Archaeology, Princeton University

Stephen J. Taylor

Asset Price Dynamics, Volatility, and Prediction

Paper | 2007 |
544 pp. | 6 x 9 | 101 line illus. 47 tables.

This book shows how current and recent market prices convey information about the probability distributions that govern future prices. Moving beyond purely theoretical models, Stephen Taylor applies methods supported by empirical research of equity and foreign exchange markets to show how daily and more frequent asset prices, and the prices of option contracts, can be used to construct and assess predictions about future prices, their volatility, and their probability distributions.

Asset Price Dynamics, Volatility, and Prediction is ideal for students of economics, finance, and mathematics who are studying financial econometrics, and will enable researchers to identify and apply appropriate models and methods. It will likewise be a valuable resource for quantitative analysts, fund managers, risk managers, and investors who seek realistic expectations about future asset prices and the risks to which they are exposed.

Endorsements:

"I enjoyed reading this book, which offers a close to unique merging of detailed and careful empirics with the finance and time series theory associated with the study of asset pricing dynamics."--Neil Shephard, University of Oxford

"This well written text nicely balances new developments in various areas of theoretical and empirical finance, and it explains in a concise way how various models and methods are related."--Philip Hans Franses, Professor of Applied Econometrics, Econometric Institute, Erasmus University, Rotterdam