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The Mathematics of Soap Films: Explorations with Maple
Nature tries to minimize the surface area of a soap film through the action of surface tension. The process can be understood mathematically by using differential geometry, complex analysis, and the calculus of variations. This book employs ingredients from each of these subjects to tell the mathematical story of soap films. The text is fully self-contained, bringing together a mixture of types of mathematics along with a bit of the physics that underlies the subject. The development is primarily from first principles, requiring no advanced background material from either mathematics or physics. Through the Maple applications, the reader is given tools for creating the shapes that are being ...
Morphological Complexity
This book characterises the diverse morphological complexity we find in the languages of the world. Richly illustrated, examples are drawn from dozens of different languages and are subjected to rigorous quantitative analysis. It will be ideal reading for academic researchers and graduate students of linguistics, with a special interest in morphology and English language.
Modern Differential Geometry of Curves and Surfaces with Mathematica
Presenting theory while using Mathematica in a complementary way, Modern Differential Geometry of Curves and Surfaces with Mathematica, the third edition of Alfred Gray’s famous textbook, covers how to define and compute standard geometric functions using Mathematica for constructing new curves and surfaces from existing ones. Since Gray’s death, authors Abbena and Salamon have stepped in to bring the book up to date. While maintaining Gray's intuitive approach, they reorganized the material to provide a clearer division between the text and the Mathematica code and added a Mathematica notebook as an appendix to each chapter. They also address important new topics, such as quaternions. T...
Curves and Surfaces
Offers a focused point of view on the differential geometry of curves and surfaces. This monograph treats the Gauss - Bonnet theorem and discusses the Euler characteristic. It also covers Alexandrov's theorem on embedded compact surfaces in R3 with constant mean curvature.
Information Security Practice and Experience
This book constitutes the refereed proceedings of the 5th International Information Security Practice and Experience Conference, ISPEC 2009, held in Xi'an, China in April 2009. The 34 revised full papers were carefully reviewed and selected from 147 submissions. The papers are organized in topical sections on public key encryption, digital signatures, system security, applied cryptography, multimedia security and DRM, security protocols, key exchange and management, hash functions and MACs, cryptanalysis, network security as well as security applications.
Equations of Mathematical Diffraction Theory
Equations of Mathematical Diffraction Theory focuses on the comparative analysis and development of efficient analytical methods for solving equations of mathematical diffraction theory. Following an overview of some general properties of integral and differential operators in the context of the linear theory of diffraction processes, the authors provide estimates of the operator norms for various ranges of the wave number variation, and then examine the spectral properties of these operators. They also present a new analytical method for constructing asymptotic solutions of boundary integral equations in mathematical diffraction theory for the high-frequency case. Clearly demonstrating the close connection between heuristic and rigorous methods in mathematical diffraction theory, this valuable book provides you with the differential and integral equations that can easily be used in practical applications.
Modeling Decisions for Artificial Intelligence
This book constitutes the refereed proceedings of the Third International Conference on Modeling Decisions for Artificial Intelligence, MDAI 2006, held in Tarragona, Spain, in April 2006. The 31 revised full papers presented together with 4 invited lectures were thoroughly reviewed and selected from 97 submissions. The papers are devoted to theory and tools for modeling decisions, as well as applications that encompass decision making processes and information fusion techniques.
Chinese-English Dictionary of Chinese Medical Terms
Containing over 33,000 terms, the Chinese-English Dictionary of Chinese Medicine is the largest, fully searchable list of Chinese medical terms ever published. It is the only sufficiently comprehensive list of Chinese medical terms to be an ultimate go-to for any translator, student, or clinician. It contains a vast array of general terms, including the 5,000 or more of Practical Dictionary of Chinese Medicine (Paradigm Publications, 1997). It also contains the 1,500 standard and alternate acupoint names from Grasping the Wind (Paradigm Publications, 1989) and over 10,000 standard and alternate names of medicinals described in the Comprehensive Chinese Materia Medica (Paradigm Publications, ...
Differential Geometry and Its Applications
Differential Geometry and Its Applications studies the differential geometry of surfaces with the goal of helping students make the transition from the compartmentalized courses in a standard university curriculum to a type of mathematics that is a unified whole. It mixes geometry, calculus, linear algebra, differential equations, complex variables, the calculus of variations, and notions from the sciences. That mix of ideas offers students the opportunity to visualize concepts through the use of computer algebra systems such as Maple. Differential Geometry and Its Applications emphasizes that this visualization goes hand in hand with understanding the mathematics behind the computer construction. The book is rich in results and exercises that form a continuous spectrum, from those that depend on calculation to proofs that are quite abstract.
Open Quantum Systems III
Understanding dissipative dynamics of open quantum systems remains a challenge in mathematical physics. This problem is relevant in various areas of fundamental and applied physics. From a mathematical point of view, it involves a large body of knowledge. Significant progress in the understanding of such systems has been made during the last decade. These books present in a self-contained way the mathematical theories involved in the modeling of such phenomena. They describe physically relevant models, develop their mathematical analysis and derive their physical implications. In Volume I the Hamiltonian description of quantum open systems is discussed. This includes an introduction to quant...
