الصفحة 39
الصفحة 39
Analysis of Structures by Matrix Methods
Deals with the analysis of engineering structures made of skeletal members and covers the type of structures that are commonly used in practice. It builds up on the subject matter dealing with matrix algebra, analysis of bar elements, special forms of members, stability and vibration of structures, and pin-connected, rigid-plane, and 3D frames. It treats the important step of formulating the overall stiffness matrix of a structure in a systematic and straightforward manner and uses simple mathematical approaches wherever possible.
Analysis of failure in fiber polymer laminates : the theory of Alfred Puck
This book presents for the first time comprehensively the Theory of Alfred Puck on failure in Fiber Polymer Laminates. After a brief introduction into the failure analysis of laminates and its history, the text focuses first on Puck’s fracture criteria and gives detailed information on their physical background, mathematical derivation and application. Another core part of Puck’s Theory is his concept for Post Failure Analysis. Here, too, the physical background and the analytical procedure are presented. The theoretical chapters are completed by the presentation of the latest developments, namely the consideration of residual stresses and probabilistic effects. The second main part of the book deals with the extensive experimental verification program which has been accomplished since the mid 1990’s. As a result of this work, the Puck Theory can be regarded as better verified than any other theory. All experimental set ups and the major results are presented and explained.
Analysis of Computer and Communication Networks
Analysis of Computer and Communication Networks presents the academic and research communities with mathematical theory and techniques necessary for analyzing and modeling high-performance global networks, such as the Internet.
Analysis I
Logical thinking, the analysis of complex relationships, the recognition of und- lying simple structures which are common to a multitude of problems — these are the skills which are needed to do mathematics, and their development is the main goal of mathematics education. Of course, these skills cannot be learned ‘in a vacuum’. Only a continuous struggle with concrete problems and a striving for deep understanding leads to success. A good measure of abstraction is needed to allow one to concentrate on the essential, without being distracted by appearances and irrelevancies. The present book strives for clarity and transparency. Right from the beg- ning, it requires from the reader a willingness to deal with abstract concepts, as well as a considerable measure of self-initiative. For these e?orts, the reader will be richly rewarded in his or her mathematical thinking abilities, and will possess the foundation needed for a deeper penetration into mathematics and its applications.
Analysis by Its History
This book presents first-year calculus roughly in the order in which it first was discovered. The first two chapters show how the ancient calculations of practical problems led to infinite series, differential and integral calculus and to differential equations. The establishment of mathematical rigour for these subjects in the 19th century for one and several variables is treated in chapters III and IV. The text is complemented by a large number of examples, calculations and mathematical pictures and will provide stimulating and enjoyable reading for students, teachers, as well as researchers.
Analysis and Synthesis of Logics : How to Cut and Paste Reasoning Systems
Starting with simple examples showing the relevance of cutting and pasting logics, the monograph develops a mathematical theory of combining and decomposing logics, ranging from propositional and first-order based logics to higher-order based logics as well as to non-truth functional logics. The theory covers mechanisms for combining semantic structures and deductive systems either of the same or different nature (for instance, two Hilbert calculi or a Hilbert calculus and a tableau calculus). The important issue of preservation of properties is extensively addressed. For instance, sufficient conditions are provided for a combined logic to be sound and complete when the original component logics are known to be sound and complete.
Analysis and Simulation of Contact Problems
Contact mechanics was and is an important branch in mechanics which covers a broad field of theoretical, numerical and experimental investigations. In this carefully edited book the reader will obtain a state-of-the-art overview on formulation, mathematical analysis and numerical solution procedures of contact problems. The contributions collected in this volume summarize the lectures presented during the 4th Contact Mechanics International Symposium (CMIS) held in Hannover, Germany, 2005, by leading scientists in the area of contact mechanics.
Analysis and Probability : Wavelets, Signals, Fractals
This book, combining analysis and tools from mathematical probability, focuses on a systematic and novel presentation of recent trends in pure and applied mathematics: the emergence of three fields, wavelets, signals and fractals. The unity of basis constructions and their expansions is emphasized as the starting point for the development of bases that are computationally efficient for use in several areas from wavelets to fractals.the book brings together tools from engineering and math, especially from signal- and image processing, and from harmonic analysis and operator theory. The presentation is aimed at graduate students, as well as users from a diverse spectrum of applications.
Analysis and Numerics for Conservation Laws
The physical and chemical mechanisms as well as the sizes of these processes are quite different. So are the motivations for studying them scientifically.The super- 8 nova is a thermo-nuclear explosion on a scale of 10 cm. Astrophysicists try to understand them in order to get insight into fundamental properties of the universe. In hows around airfoils of commercial airliners at the scale of 3 10 cm shock waves occur that influence the stability of the wings as well as fuel consumption in ight. This requires appropriate design of the shape and structure of airfoils by engineers. Knocking occurs in combustion, a chemical 1 process, and must be avoided since it damages motors. The scale is 10 cm and these processes must be optimized for efficiency and environmental conside- tions. The common thread is that the underlying ?uid ?ows may at a certain scale of observation be described by basically the same type of hyperbolic s- tems of partial differential equations in divergence form, called conservation laws. Astrophysicists, engineers and mathematicians share a common interest in scientific progress on theory for these equations and the development of computational methods for solutions of the equations. Due to their wide applicability in modeling of continua. A substantial portion of mathematical research is related to the analysis and numerical approximation of solutions to such equations. Hyperbolic conservation laws in two or more space dimensions still poseone of the main challenges to modern mathematics.
Analysis and Algorithms for Service Parts Supply Chains
Services requiring parts has become a $1.5 trillion business annually worldwide, creating a tremendous incentive to manage the logistics of these parts efficiently by making planning and operational decisions in a rational and rigorous manner. This book provides a broad overview of modeling approaches and solution methodologies for addressing service parts inventory problems found in high-powered technology and aerospace applications. The focus in this work is on the management of high cost, low demand rate service parts found in multi-echelon settings. This unique book, with its breadth of topics and mathematical treatment, begins by first demonstrating the optimality of an order-up-to policy [or (s-1,s)] in certain environments. This policy is used in the real world and studied throughout the text. The fundamental mathematical building blocks for modeling and solving applications of stochastic process and optimization techniques to service parts management problems are summarized extensively. A wide range of exact and approximate mathematical models of multi-echelon systems is developed and used in practice to estimate future inventory investment and part repair requirements.
Analysing Ecological Data
This book provides a practical introduction to analysing ecological data using real data sets collected as part of postgraduate ecological studies or research projects. The first part of the book gives a largely non-mathematical introduction to data exploration, univariate methods (including GAM and mixed modelling techniques), multivariate analysis, time series analysis (e.g. common trends) and spatial statistics. The second part provides 17 case studies, mainly written together with biologists who attended courses given by the first authors. The case studies include topics ranging from terrestrial ecology to marine biology.
Analog Design Centering and Sizing
This book represents a compendium of fundamental problem formulations of analog design centering and sizing. It provides a differentiated knowledge about the tasks of analog design centering and sizing. In particular the worst-case problem will be formulated. It stands at the interface between process technology and design technology.Analog Design Centering and Sizing wants to point out that and how both process and design technology are required for its solution. The intention is to enable analog and mixed-signal designers to assess CAD solution methods that are presented to them. On the other side, the intention is to enable developers of analog CAD tools to formulate and develop solution approaches for analog design centering and sizing.The structure of Analog Design Centering and Sizing is geared towards a combination of a reference book and a textbook. The formulations of tasks and solution approaches by mathematical means makes the book suitable as well for students dealing with analog design and design methodology.
Analisi matematica II : Teoria ed esercizi con complementi in rete = Mathematical analysis 2 : Theory and exercises with online complements
Intends to support a second teaching of Mathematical Analysis according to the principles of the new Didactic Regulations. It is especially designed for those study courses (such as Engineering, Computer Science, Physics) in which the mathematical tool is a significant part of the training. The fundamental concepts and methods of the differential and integral calculus of several variables, the series of functions and the ordinary differential equations are presented with the primary objective of training the student in their operational but critical use. The didactic setting of the text follows the one used for ANALYSIS I. The method of presentation of the arguments allows a flexible and modular use of the text, in order to respond to the various possible didactic choices in the organization of a Mathematical Analysis course.
Analisi matematica I : Teoria ed esercizi con complementi in rete = Mathematical analysis I : Theory and exercises with online complements
Intends to support a first teaching of Mathematical Analysis according to the principles of the new Didactic Regulations. It is especially designed for Engineering, Computer Science, Physics. The text has three different levels of reading. An essential level allows the student to grasp the essential concepts of the subject and to familiarize himself with the related calculation techniques. An intermediate level provides justifications for the main findings and enriches the presentation with useful observations and complements. A third level of reading, based on numerous references to a virtual text available online, allows the more motivated and interested student to deepen his or her preparation on the subject. Numerous examples and exercises with solutions complete the text. The captivating 2-color graphics make this text a fundamental point of reference for the study of the discipline.
An Invitation to Abstract Mathematics
this book begins with a playful exploration of the building blocks of mathematics, such as definitions, axioms, and proofs. A study of the fundamental concepts of logic, sets, and functions follows, before focus turns to methods of proof. Having covered the core of a transition course, the author goes on to present a selection of advanced topics that offer opportunities for extension or further study. Throughout, appendices touch on historical perspectives, current trends, and open questions, showing mathematics as a vibrant and dynamic human enterprise.This second edition has been reorganized to better reflect the layout and curriculum of standard transition courses. It also features recent developments and improved appendices. An Invitation to Abstract Mathematics is ideal for those seeking a challenging and engaging transition to advanced mathematics, and will appeal to both undergraduates majoring in mathematics, as well as non-math majors interested in exploring higher-level concepts.
An Introduction to the Theory of Piezoelectricity
This volume is intended to provide researchers and graduate students with the basic aspects of the continuum modeling of electroelastic interactions in solids. A concise treatment of linear, nonlinear, static and dynamic theories and problems is presented. The emphasis on formulation and understanding of problems useful in device applications rather than solution techniques of mathematical problems. The mathematics used in this book is minimal.
An Introduction to the Relativistic Theory of Gravitation
The geometric interpretation of gravitation is one of the major foundations of modern theoretical physics. This primer introduces classical general relativity with emphasis on the clarity of conceptual structure and on the basic mathematical methods to build up systematically application skills. The wealth of physical phenomena entailed by the Einstein‘s equations is revealed with the help of specific models describing gravitomagnetism, gravitational waves, cosmology, gravitational collapse and black holes. End-of-chapter exercises complete the main text.
An Introduction to the Mathematics of Money : Saving and Investing
This is an undergraduate textbook on the basic aspects of personal savings and investing with a balanced mix of mathematical rigor and economic intuition. It uses routine financial calculations as the motivation and basis for tools of elementary real analysis rather than taking the latter as given. Proofs using induction, recurrence relations and proofs by contradiction are covered. Inequalities such as the Arithmetic-Geometric Mean Inequality and the Cauchy-Schwarz Inequality are used. Basic topics in probability and statistics are presented.
An Introduction to the Mathematical Theory of Dynamic Materials
This book gives a mathematical treatment of a novel concept in material science that characterizes the properties of dynamic materials—that is, material substances whose properties are variable in space and time. Unlike conventional composites that are often found in nature, dynamic materials are mostly the products of modern technology developed to maintain the most effective control over dynamic processes. These materials have diverse applications: tunable left-handed dielectrics, optical pumping with high-energy pulse compression, and electromagnetic stealth technology, to name a few. Of special significance is the participation of dynamic materials in almost every optimal material design in dynamics.
An Introduction to Scientific Computing : Twelve Computational Projects Solved with MATLAB
This book provides twelve computational projects aimed at numerically solving problems from a broad range of applications including Fluid Mechanics, Chemistry, Elasticity, Thermal Science, Computer Aided Design, Signal and Image Processing. For each project the reader is guided through the typical steps of scientific computing from physical and mathematical description of the problem, to numerical formulation and programming and finally to critical discussion of numerical results. Considerable emphasis is placed on practical issues of computational methods. The last section of each project contains the solutions to all proposed exercises and guides the reader in using the MATLAB scripts.
