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A Geometric Approach to Differential Forms
The modern subject of differential forms subsumes classical vector calculus. This text presents differential forms from a geometric perspective accessible at the undergraduate level. The book begins with basic concepts such as partial differentiation and multiple integration and gently develops the entire machinery of differential forms. Each new concept is presented with a natural picture that students can easily grasp. Algebraic properties then follow. This facilitates the development of differential forms without assuming a background in linear algebra. Throughout the text, emphasis is placed on applications in 3 dimensions, but all definitions are given so as to be easily generalized to higher dimensions. A centerpiece of the text is the generalized Stokes' theorem. Although this theorem implies all of the classical integral theorems of vector calculus, it is far easier for students to both comprehend and remember.
A Dictionary of Construction, Surveying and Civil Engineering
Covers the key areas of civil and construction engineering, construction technology and practice, construction management techniques and processes, as well as legal aspects such as contracts and procurement. It has been updated with more than 600 new entries spanning subjects such as sustainability, new technologies, disaster management, and building software. New additions include terms such as Air source heat pump, hydraulic failure, mechanical ventilation with heat recovery, off-site construction, predictive performance, sustainable development, and value engineering.
A Course on Mathematical Logic
This is a short, distinctive, modern, and motivated introduction to mathematical logic for senior undergraduate and beginning graduate students in mathematics and computer science. Any mathematician who is interested in knowing what logic is concerned with and who would like to learn Gödel’s incompleteness theorems should find this book particularly convenient. The treatment is thoroughly mathematical, and the entire subject has been approached like a branch of mathematics. Serious efforts have been made to make the book suitable for the classroom as well as for self-reading. The book does not strive to be a comprehensive encyclopedia of logic. Still, it gives essentially all the basic concepts and results in mathematical logic. The book prepares students to branch out in several areas of mathematics related to foundations and computability such as logic, axiomatic set theory, model theory, recursion theory, and computability.
A Course in Enumeration
Leads the reader in a leisurely way from the basic notions to a variety of topics, ranging from algebra to statistical physics. Its aim is to introduce the student to a fascinating field, and to be a source of information for the professional mathematician who wants to learn more about the subject.
A Course in Credibility Theory and its Applications
It covers the subject of Credibility Theory extensively and includes most aspects of this topic from the simplest case to the most general dynamic model. The first four chapters contain plenty of material The book therefore treats explicitly the tasks which the actuary encounters in his daily work such as estimation of loss ratios, claim frequencies and claim sizes. The models are worked out in detail (including the estimation of structural parameters) so that they can immediately be applied in practice. Most exercises are based on real insurance data and real situations from practice and many of them have the characteristics of a case study. The extension to practical problems arising from the general area of finance is often quite straightforward. This book deserves a place on the bookshelf of every actuary and mathematician who works, teaches or does research in the area of insurance and finance.for a first course on Credibility.
A Concise Introduction to Mathematical Logic
This book is unique in that it is more concise than most others; the material is treated in a streamlined fashion. This allows the lecturer to select the material for a one-semester course on a topic more easily. These initial chapters cover just the material for an introductory course on mathematical logic combined with the necessary material from set theory. Chapter 3 is partly of a descriptive nature, providing a view towards decision problems, automated theorem proving, non-standard models and related subjects. The other chapters contain material on logic programming for computer scientists, model theory, recursion theory, Gödel's Incompleteness Theorems, and applications of mathematical logic. Philosophical and foundational problems of mathematics are discussed where appropriate.
A Comparison of the Dynamical Evolution of Planetary Systems ; Proceedings of the Sixth Alexander von Humboldt Colloquium on Celestial Mechanics Bad Hofgastein (Austria), 21-27 March 2004
The papers in this volume cover a wide range of subjects covering the most recent developments in Celestial Mechanics from the theoretical point of nonlinear dynamical systems to the application to real problems. We emphasize the papers on the formation of planetary systems, their stability and also the problem of habitable zones in extrasolar planetary systems. A special topic is the stability of Trojans in our planetary system, where more and more realistic dynamical models are used to explain their complex motions: besides the important contribution from the theoretical point of view, the results of several numerical experiments unraveled the structure of the stable zone around the librations points. This volume will be of interest to astronomers and mathematicians interested in Hamiltonian mechanics and in the dynamics of planetary systems.
A Companion to islamic art and architecture ; 2 Vol. Set : Blackwell companions to art history
Bridges the gap between monograph and survey text by providing a new level of access and interpretation to Islamic art. The more than 50 newly commissioned essays revisit canonical topics, and include original approaches and scholarship on neglected aspects of the field. showcases more than 50 specially commissioned essays and an introduction that survey Islamic art and architecture in all its traditional grandeurEssays are organized according to a new chronological-geographical paradigm that remaps the unprecedented expansion of the field and reflects the nuances of major artistic and political developments during the 1400-year span. Represents recent developments in the field, and encourages future horizons by commissioning innovative essays that provide fresh perspectives on canonical subjects, such as early Islamic art, sacred spaces, palaces, urbanism, ornament, arts of the book, and the portable arts while introducing others that have been previously neglected, including unexplored geographies and periods, transregional connectivities, talismans and magic, consumption and networks of portability, museums and collecting,
A Classical Introduction to Cryptography Exercise Book
A Classical Introduction to Cryptography Exercise Book for A Classical Introduction to Cryptography: Applications for Communications Security covers a majority of the subjects that make up today's cryptology, such as symmetric or public-key cryptography, cryptographic protocols, design, cryptanalysis, and implementation of cryptosystems. Exercises do not require a large background in mathematics, since the most important notions are introduced and discussed in many of the exercises.
A Biomass Future for the North American Great Plains : Toward Sustainable Land Use and Mitigation of Greenhouse Warming
The Great Plains of North America is a major global breadbasket but its agriculture is stressed by drought, heat spells, damaging winds, soil erosion and declining ground water resources. This book explores the possibility that the ecology and economy of the Plains region (and similar regions) would benefit from the introduction of perennial biomass crops. Biomass production and processing on the Plains (possibly aided by genetic engineering) would partially restore a perennial vegetative cover and create new employment opportunities. Biomass also offers a means of reducing fossil fuel use, providing fuel to local power plants and a feedstock for production of cellulosic ethanol, a gasoline substitute. Interest in biofuels is growing rapidly in public, political and business circles with rising fossil fuel prices and because of a growing recognition of the need for energy independence in petroleum importing countries.
3-D Structural Geology : A Practical Guide to Quantitative Surface and Subsurface Map Interpretation
This book provides an overview of techniques for constructing structural interpretations in 2-D, 2½-D and 3-D environments; for interpolating - tween and extrapolating beyond the control points; and for validating the final int- pretation. The underlying philosophy is that structures are three-dimensional solid bodies and that data from throughout the structure, whether in 2-D or 3-D format, should be integrated into an internally consistent 3-D interpretation. It is assumed that most users of this book will do their work on a computer. C- sequently, the book provides quantitative structural methods and techniques that are designed for use with spreadsheets, mapping software, and three-dimensional c- puter-graphics programs. The book is also intended to provide the background for understanding what interpretive software, for example, a computer contouring p- gram, does automatically. Most techniques are presented in both a traditional format appropriate for paper, pencil, and a pocket calculator, and in quantitative format for use with spreadsheets and computer-graphics or computer-aided-design programs.
21st century villa
People's everchanging lifestyles bring about more and more requirements for the overall qualities of houses, and the demands for residences have marched towards the psychological dimension and cultural sphere. Consequently, there arise new design trends and new requirements for environment, material selection and design concept. The design projects in this book lead readers to perceive the comfort and cosiness of the natural space. The designers of these projects have created more natural, and convenient living spaces in the most natural and purest design languages, giving them a comprehensive and vivid explanation of the architecture design concept that buildings are created for people.
150 Best Minimalist House Ideas
Presents tips, tricks, and techniques revealing how to create your own gorgeous, sophisticated interiors. One of the most popular contemporary interior design trends, minimalism highlights the essence of a room, stressing clean lines, clutter-free spaces, and a limited color palette. In 150 Best Minimalist Interior Ideas, photographs and floor plans of minimalist homes around the world are featured. The images are of stunning bedrooms, living rooms, dining rooms, kitchens, and bathrooms; and insightful text complements them to reveal why the minimalist rooms are so eye-catching, cathartic, and desirable. The text includes a wealth of both big picture and more focused ideas. It covers subjects such as walls (if and when to use them), doors, and partitions, flooring, lighting, furniture, and staircases, and explores color, patterns, materials, and texture. The homes featured in this extraordinary volume were developed by distinguished international designers at the forefront of the minimalist movement.
100% Evil
This professional work led to a personal passion, and so the illustrators chose to draw a small series on rosier subjects like maps and love. But as the world around them grew darker, they decided to explore the other end of the emotional spectrum and devote themselves to evil. 100% Evil is the result: a thoughtful, comical, andat timesjoyful book that just goes to show that sometimes it's good to be bad.
100 years of relativity : Space-time structure - Einstein and beyond
Contains contributions from leading researchers, worldwide, who have thought deeply about the nature and consequences of this interplay. The articles take a long-range view of the subject and distill the most important advances in broad terms, making them easily accessible to non-specialists. The first part is devoted to a summary of how relativity theories were born (J Stachel). The second part discusses the most dramatic ramifications of general relativity, such as black holes (P Chrusciel and R Price), space-time singularities (H Nicolai and A Rendall), gravitational waves (P Laguna and P Saulson), the large scale structure of the cosmos (T Padmanabhan); experimental status of this theory (C Will) as well as its practical application to the GPS system (N Ashby). The last part looks beyond Einstein and provides glimpses into what is in store for us in the 21st century.
