This self-contained volume explains the general method of statistical linearization and its use in solving random vibration problems. Numerous examples show advanced undergraduate and graduate students many practical applications. 1990 edition.
This book deals with explosive instabilities in mechanics, deriving a solution to a system of PDEs that arise in practical situations. It begins with a relatively simple account of blow-up in systems of interaction-diffusion equations. Among the topics presented are: classical fluid equations, catastrophic behavior in nonlinear fluid theories, blow-up in Volterra equations, and rapid energy growth in parallel flows.
Mathematical Models for Structural Reliability Analysis offers mathematical models for describing load and material properties in solving structural engineering problems. Examples are provided, demonstrating how the models are implemented, and the limitations of the models are clearly stated. Analytical solutions are also discussed, and methods are clearly distinguished from models. The authors explain both theoretical models and practical applications in a clear, concise, and readable fashion.
This completely revised new edition is based on the lastest version of MATLAB. New chapters cover handle graphics, graphical user interfaces (GUIs), structures and cell arrays, and importing/exporting data. The chapter on numerical methods now includes a general GUI-driver ODE solver."--Jacket.
Calculus is one of the milestones of human thought, and has become essential to a broader cross-section of the population in recent years. This two-volume work focuses on today's best practices in calculus teaching, and is written in a clear, crisp style.
A complete up-to-date reference for advanced analog and digital IIR filter design rooted in elliptic functions. "Revolutionary" in approach, this book opens up completely new vistas in basic analog and digital IIR filter design--regardless of the technology. By introducing exceptionally elegant and creative mathematical stratagems (e.g., accurate replacement of Jacobi elliptic functions by functions comprising polynomials, square roots, and logarithms), optimization routines carried out with symbolic analysis by "Mathematica," and the advance filter design software of MATLAB, it shows readers how to design many types of filters that cannot be designed using conventional techniques. The filter design algorithms can be directly programed in any language or environment such as Visual BASIC, Visual C, Maple, DERIVE, or MathCAD. Signals; Systems; Transforms; Classical Analog Filter Design; Advanced Analog Filter Design Case Studies; Advanced Analog Filter Design Algorithms; Multi-criteria Optimization of Analog Filter Designs; Classical Digital Filter Design; Advanced Digital Filter Design Case Studies; Advanced Digital Filter Design Algorithms; Multi-criteria Optimization of Digital Filter Designs; Elliptic Functions; Elliptic Rational Function.
This is a substantially updated, extended and reorganized third edition of an introductory text on the use of integral transforms. Chapter I is largely new, covering introductory aspects of complex variable theory. Emphasis is on the development of techniques and the connection between properties of transforms and the kind of problems for which they provide tools. Around 400 problems are accompanied in the text. It will be useful for graduate students and researchers working in mathematics and physics.
Numerous examples highlight this treatment of the use of linear quadratic Gaussian methods for control system design. It explores linear optimal control theory from an engineering viewpoint, with illustrations of practical applications. Key topics include loop-recovery techniques, frequency shaping, and controller reduction. Numerous examples and complete solutions. 1990 edition.
Mathematics for Physicists is a relatively short volume covering all the essential mathematics needed for a typical first degree in physics, from a starting point that is compatible with modern school mathematics syllabuses. Early chapters deliberately overlap with senior school mathematics, to a degree that will depend on the background of the individual reader, who may quickly skip over those topics with which he or she is already familiar. The rest of the book covers the mathematics that is usually compulsory for all students in their first two years of a typical university physics degree, plus a little more. There are worked examples throughout the text, and chapter-end problem sets. Mathematics for Physicists features: Interfaces with modern school mathematics syllabuses All topics usually taught in the first two years of a physics degree Worked examples throughout Problems in every chapter, with answers to selected questions at the end of the book and full solutions on a website This text will be an excellent resource for undergraduate students in physics and a quick reference guide for more advanced students, as well as being appropriate for students in other physical sciences, such as astronomy, chemistry and earth sciences.
From the creators of the groundbreaking documentary comes the New York Times bestselling diet plan Sanjay Gupta called “the prescription you need to live a long, healthy life”—a plan to transition to a delicious whole-foods, plant-based diet in just twenty-eight days. The trailblazing film Forks Over Knives helped spark a medical and nutritional revolution. Backed by scientific research, the film’s doctors and expert researchers made a radical but convincing case that modern diseases can be prevented and often reversed by leaving meat, dairy, and highly refined foods off the plate and adopting a whole-food, plant-based diet instead. Now, The Forks Over Knives Plan shows you how to put this life-saving, delicious diet into practice in your own life. This easy-to-follow, meal-by-meal makeover is the approach Doctors Alona Pulde and Matthew Lederman (featured in the documentary) use every day in their nutritional health practice—a simple plan that focuses on hearty comfort foods and does not involve portion control or worrying about obtaining single nutrients like protein and calcium. In just four short weeks you’ll learn how to stock your refrigerator, plan meals, combat cravings, and discover all the tips and tricks you’ll need to eat on the go and snack healthily. You’ll also get 100 simple, tasty recipes to keep you on the right track, beautiful photographs, a 28-day eating guide, and advice throughout the book from people just like you. Whether you’re already a convert and just want a dietary reboot, or you’re trying a plant-based diet for the first time, The Forks Over Knives Plan makes it easier than ever to transition to this healthiest way of eating…and to maintain it for life.
Get a complete understanding of aircraft control and simulation Aircraft Control and Simulation: Dynamics, Controls Design, and Autonomous Systems, Third Edition is a comprehensive guide to aircraft control and simulation. This updated text covers flight control systems, flight dynamics, aircraft modeling, and flight simulation from both classical design and modern perspectives, as well as two new chapters on the modeling, simulation, and adaptive control of unmanned aerial vehicles. With detailed examples, including relevant MATLAB calculations and FORTRAN codes, this approachable yet detailed reference also provides access to supplementary materials, including chapter problems and an instructor's solution manual. Aircraft control, as a subject area, combines an understanding of aerodynamics with knowledge of the physical systems of an aircraft. The ability to analyze the performance of an aircraft both in the real world and in computer-simulated flight is essential to maintaining proper control and function of the aircraft. Keeping up with the skills necessary to perform this analysis is critical for you to thrive in the aircraft control field. Explore a steadily progressing list of topics, including equations of motion and aerodynamics, classical controls, and more advanced control methods Consider detailed control design examples using computer numerical tools and simulation examples Understand control design methods as they are applied to aircraft nonlinear math models Access updated content about unmanned aircraft (UAVs) Aircraft Control and Simulation: Dynamics, Controls Design, and Autonomous Systems, Third Edition is an essential reference for engineers and designers involved in the development of aircraft and aerospace systems and computer-based flight simulations, as well as upper-level undergraduate and graduate students studying mechanical and aerospace engineering.
Can war ever be just? By what right do we charge people with war crimes? Can war itself be a crime? What is a good peace treaty? Since the Cold War ended in the early 1990s, many wars have erupted, inflaming such areas as the Persian Gulf, Central Africa and Central Europe. Brutalities committed during these conflicts have sparked new interest in the ethics of war and peace. Brian Orend explores the ethics of war and peace from a Kantian perspective, emphasizing human rights protection, the rule of international law and a fully global concept of justice. Contending that Kant’s just war doctrine has not been given its due, Orend displays Kant’s theory to its fullest, impressive effect. He then completely and clearly updates Kant’s perspective for application to our time. Along the way, he criticizes pacifism and realism, explores the nature of human rights protection during wartime, and defends a theory of just war. He also looks ahead to future developments in global institutional reform using cases from the Persian Gulf War, Somalia, Bosnia, and Rwanda to illustrate his argument. Controversial and timely, perhaps the most important contribution War and International Justice: A Kantian Perspective makes is with regard to the question of justice after war. Orend offers a principled theory of war termination, making an urgent plea to reform current international law.
Graduate-level text extends studies of signal processing, particularly regarding communication systems and digital filtering theory. Topics include filtering, linear systems, and estimation; discrete-time Kalman filter; time-invariant filters; more. 1979 edition.
The Gospels in the New Testament provide us with more than information, they help us discover Jesus. This passionate, daily devotional will bring you to the feet of Jesus in wonder and worship. Each day you will find His ever-present love, restoring the broken, befriending the sinner, teaching His followers, healing the sick, and revealing God’s heart. The gospel is good news, extraordinary news, that must be shared with everyone on earth. Eternal love is waiting for you each day as you discover the life of Jesus Christ.
Planning for your family's future made easy! If you’re like most people, you want to be sure that, once you’ve passed on, no more of your property and money will be lost to the government than is absolutely necessary. You want to know that you’ll be leaving your heirs your assets and not your debts. You want to be absolutely certain that your will is ship-shape, your insurance policies are structured properly, and that every conceivable hole in your estate plan has been filled. And most of all, you’d like to do all of this without driving yourself crazy trying to make sense of the complicated jargon, jumble of paperwork, and welter of state and federal laws involved in the estate planning process. Written by two estate planning pros, this simple, easy-to-use guide takes the pain out of planning for your ultimate financial future. In plain English, the authors walk you step-by-step through everything you need to know to: Put your estate into order Minimize estate taxes Write a proper will Deal with probate Set up trusts Make sure your insurance policies are structured properly Plan for special situations, like becoming incompetent and pet care Craft a solid estate plan and keep it up-to-date Don’t leave the final disposition of your estate up to chance and the whims of bureaucrats. Estate Planning For Dummies gives you the complete lowdown on: Figuring out what you're really worth Mastering the basics of wills and probate Using will substitutes and dodging probate taxes Setting up protective trusts, charitable trusts, living trusts and more Making sense of state and federal inheritance taxes Avoiding the generation skipping transfer tax Minimizing all your estate-related taxes Estate planning for family businesses Creating a comprehensive estate plan Straightforward, reader-friendly, easy-to-use, Estate Planning For Dummies is the ultimate guide to planning your family’s future.
Exploiting Seismic Waveforms introduces a range of recent developments in seismology including the application of correlation techniques, understanding of multi-scale heterogeneity and the extraction of structure and source information by seismic waveform inversion. It provides a full treatment of correlation methods for seismic noise and event signals, and develops inverse methods for both sources and structure. Higher frequency components of seismograms are frequently neglected, or removed by filtering, but they contain information about seismic structure on scales that cannot be revealed by seismic tomography. Sufficient computational resources are now available for waveform inversion for 3-D structure to be a practical procedure and this book describes suitable algorithms and examples reflecting current best practice. Intended for students and researchers in seismology, this book provides a physical understanding of seismic waveforms and the way that different aspects of the seismic wavefield are revealed by the way that seismic data are handled.
Las características más importantes de esta obra son:..- Ejemplificación de muchas variedades lingüísticas, aparte del español y el catalán..- Ejercicios variados al final de cada capítulo..- Múltiples ejercicios de transcripción fonética..- Comparación de los sistemas fonológicos inglés, español y catalán..- Glosario de términos técnicos inglés-castellano..- Apéndice en que se compara el inglés británico con el inglés americano..- CD con grabaciones de listas léxicas y frases completas que ilustran la pronunciación, acentuación y entonación.
A Course of Mathematics for Engineers and Scientists, Volume 5 presents the solutions of differential equations by obtaining the results in different forms. This book discusses the significant branch of mathematics generalizing the elementary ideas of function, integration, and differentiation. Organized into four chapters, this volume begins with an overview of the use of Fourier series that leads to solutions consisting of infinite series. This text then discusses the fundamental advantage of Laplace and Fourier transformation. Other chapters consider the technique of obtaining the solutions of ordinary, and several partial, differential equations from definite integrals. This book discusses as well the mathematical basis underlying the transformation methods connecting Laplace and Fourier transformations, which is given by the advancement of complex variable theory. The final chapter deals with the series of devices for inverting the transformation functions. This book is a valuable resource for scientists, engineers, mathematicians, and undergraduate students.
Six new chapters (14-19) deal with topics of current interest: multi-component convection diffusion, convection in a compressible fluid, convenction with temperature dependent viscosity and thermal conductivity, penetrative convection, nonlinear stability in ocean circulation models, and numerical solution of eigenvalue problems.
This book presents a coherent and systematic exposition of the mathematical theory of the problems of optimization and stability. Both of these are topics central to economic analysis since the latter is so much concerned with the optimizing behaviour of economic agents and the stability of the interaction processes to which this gives rise. The topics covered include convexity, mathematical programming, fixed point theorems, comparative static analysis and duality, the stability of dynamic systems, the calculus of variations and optimal control theory. The authors present a more detailed and wide-ranging discussion of these topics than is to be found in the few books which attempt a similar coverage. Although the text deals with fairly advanced material, the mathematical prerequisites are minimised by the inclusion of an integrated mathematical review designed to make the text self-contained and accessible to the reader with only an elementary knowledge of calculus and linear algebra. A novel feature of the book is that it provides the reader with an understanding and feel for the kinds of mathematical techniques most useful for dealing with particular economic problems. This is achieved through an extensive use of a broad range of economic examples (rather than the numerical/algebraic examples so often found). This is suitable for use in advanced undergraduate and postgraduate courses in economic analysis and should in addition prove a useful reference work for practising economists.
Brian T. May argues that, contrary to widely held assumptions of postcolonial literary criticism, a distinctive subset of postcolonial novels significantly values and scrupulously explores a healthy individuality. These "extravagant" postcolonial works focus less on collective social reality than on the intimate subjectivity of their characters. Their authors, most of whom received some portion of a canonical western education, do not subordinate the ambitions of their fiction to explicit political causes so much as create a cosmopolitan rhetorical focus suitable to their western-educated, western-trained, audiences. May pursues this argument by scrutinizing novels composed during the thirty-year postindependence, postcolonial era of Anglophone fiction, a period that began with the Nigerian Chinua Achebe's Things Fall Apart and that ended, many would say, with the Ayatollah Khomeini's 1989 publication of the Rushdie Fatwa. May contends that the postcolonial authors under consideration—Naipaul, Rushdie, Achebe, Rhys, Gordimer, and Coetzee—inherited modernism and refashioned it. His account of their work demonstrates how it reflects and transfigures modernists such as Conrad, Eliot, Yeats, Proust, Joyce, and Beckett. Tracing the influence of humanistic values and charting the ethical and aesthetic significance of individualism, May demonstrates that these works of "extravagant postcolonialism" represent less a departure from than a continuation and evolution of modernism.
Building on the material learned by students in their first few years of study, Topics in Statistical Mechanics (Second Edition) presents an advanced level course on statistical and thermal physics. It begins with a review of the formal structure of statistical mechanics and thermodynamics considered from a unified viewpoint. There is a brief revision of non-interacting systems, including quantum gases and a discussion of negative temperatures. Following this, emphasis is on interacting systems. First, weakly interacting systems are considered, where the interest is in seeing how small interactions cause small deviations from the non-interacting case. Second, systems are examined where interactions lead to drastic changes, namely phase transitions. A number of specific examples is given, and these are unified within the Landau theory of phase transitions. The final chapter of the book looks at non-equilibrium systems, in particular the way they evolve towards equilibrium. This is framed within the context of linear response theory. Here fluctuations play a vital role, as is formalised in the fluctuation-dissipation theorem.The second edition has been revised particularly to help students use this book for self-study. In addition, the section on non-ideal gases has been expanded, with a treatment of the hard-sphere gas, and an accessible discussion of interacting quantum gases. In many cases there are details of Mathematica calculations, including Mathematica Notebooks, and expression of some results in terms of Special Functions.
As with Numerical Recipes in C, the FORTRAN edition has been greatly revised to make this edition the most up to date handbook for those working with FORTRAN. Between both editions of Numerical Recipes, over 300,000 copies have been sold.
Each chapter consists of basic statistical theory, simple examples of S-PLUS code, plus more complex examples of S-PLUS code, and exercises. All data sets are taken from genuine medical investigations and will be available on a web site. The examples in the book contain extensive graphical analysis to highlight one of the prime features of S-PLUS. Written with few details of S-PLUS and less technical descriptions, the book concentrates solely on medical data sets, demonstrating the flexibility of S-PLUS and its huge advantages, particularly for applied medical statisticians.
This textbook treats Lie groups, Lie algebras and their representations in an elementary but fully rigorous fashion requiring minimal prerequisites. In particular, the theory of matrix Lie groups and their Lie algebras is developed using only linear algebra, and more motivation and intuition for proofs is provided than in most classic texts on the subject. In addition to its accessible treatment of the basic theory of Lie groups and Lie algebras, the book is also noteworthy for including: a treatment of the Baker–Campbell–Hausdorff formula and its use in place of the Frobenius theorem to establish deeper results about the relationship between Lie groups and Lie algebras motivation for the machinery of roots, weights and the Weyl group via a concrete and detailed exposition of the representation theory of sl(3;C) an unconventional definition of semisimplicity that allows for a rapid development of the structure theory of semisimple Lie algebras a self-contained construction of the representations of compact groups, independent of Lie-algebraic arguments The second edition of Lie Groups, Lie Algebras, and Representations contains many substantial improvements and additions, among them: an entirely new part devoted to the structure and representation theory of compact Lie groups; a complete derivation of the main properties of root systems; the construction of finite-dimensional representations of semisimple Lie algebras has been elaborated; a treatment of universal enveloping algebras, including a proof of the Poincaré–Birkhoff–Witt theorem and the existence of Verma modules; complete proofs of the Weyl character formula, the Weyl dimension formula and the Kostant multiplicity formula. Review of the first edition: This is an excellent book. It deserves to, and undoubtedly will, become the standard text for early graduate courses in Lie group theory ... an important addition to the textbook literature ... it is highly recommended. — The Mathematical Gazette
A thriller from Edgar-nominated author Brian Freeman, The Burying Place features detective Jonathan Stride and Serena Dial. One cold night. Two shocking mysteries. In the quiet town of Grand Rapids, Minnesota, a baby vanishes from her bedroom in an opulent lakeside home. Was she abducted – or does her father have a terrible secret to hide? That same night, a young policewoman gets lost in the fog and stumbles into the middle of a horrific crime. Now a sadistic killer wants her to play his deadly game. Lieutenant Jonathan Stride and his team need to move fast to save a child and stop a vicious killing spree. As fear grips the frozen winter farm lands, Stride knows that every snow-covered field may be the next burying place. Each twist in the investigation takes Stride into an elaborate web of deceit and desire. But his biggest obstacles may be the very people he's trying to help. With everything at risk and time running out, Stride worries how far a desperate mother will go to rescue her baby – and how far a desperate cop will go to save herself.
Criminal Law' is written with the needs of the student foremost in mind to provide, more than ever, as modern and as comprehensive an exposition of the criminal law as he or she could possibly require.
Croke also casts new light on the career of Marcellinus, his range of literary output, which included books on topography and chronology, and the course and impact of the fifth- and sixth-century raids into Roman Illyricum. This book also enriches our understanding of society and politics in the imperial capital and raises broader questions about Christian life, liturgy, and culture in the sixth century, particularly the role of imperial and religious ceremonial in Byzantine public life."--BOOK JACKET.
Although ideas from quantum physics play an important role in many parts of modern mathematics, there are few books about quantum mechanics aimed at mathematicians. This book introduces the main ideas of quantum mechanics in language familiar to mathematicians. Readers with little prior exposure to physics will enjoy the book's conversational tone as they delve into such topics as the Hilbert space approach to quantum theory; the Schrödinger equation in one space dimension; the Spectral Theorem for bounded and unbounded self-adjoint operators; the Stone–von Neumann Theorem; the Wentzel–Kramers–Brillouin approximation; the role of Lie groups and Lie algebras in quantum mechanics; and the path-integral approach to quantum mechanics. The numerous exercises at the end of each chapter make the book suitable for both graduate courses and independent study. Most of the text is accessible to graduate students in mathematics who have had a first course in real analysis, covering the basics of L2 spaces and Hilbert spaces. The final chapters introduce readers who are familiar with the theory of manifolds to more advanced topics, including geometric quantization.
Brian Leftow makes an important contribution to the longstanding debate among philosophers and theologians about the nature of God's eternity. The author develops a powerful and original defense of the notion that God is eternal in that he exists timelessly; that is, that though God exists, he does not exist at any time. Leftow defends the claim that a timeless God can be an object of human experience, and he attempts to delineate the extent of such a God's omniscience. Finally, the author pays special attention to the relation between the claim that God is timeless and the claim that God is metaphysically simple.
Essential MATLAB for Engineers and Scientists, Seventh Edition, provides a concise, balanced overview of MATLAB's functionality, covering both fundamentals and applications. The essentials are illustrated throughout, featuring complete coverage of the software's windows and menus. Program design and algorithm development are presented, along with many examples from a wide range of familiar scientific and engineering areas. This edition has been updated to include the latest MATLAB versions through 2018b. This is an ideal book for a first course on MATLAB, but is also ideal for an engineering problem-solving course using MATLAB. Updated to include all the newer features through MATLAB R2018b Includes new chapter on useful toolboxes Provides additional examples on engineering applications
Since 1945, radiologists have turned to Caffey's Pediatric Diagnostic Imaging for the most comprehensive coverage and unparalleled guidance in all areas of pediatric radiology. Continuing this tradition of excellence, the completely revised 12th edition - now more concise yet still complete - focuses on the core issues you need to understand new protocols and sequences, and know what techniques are most appropriate for given clinical situations. "This text will obviously be of great interest not only to radiologists, also to those who work with children including all pediatric specialties. It is also extremely useful in countries with resource poor setting where there is shortage of well-trained radiologists in pediatric specialties." Reviewed by: Yangon Children Hospital on behalf of the Journal of the European Paediatric Neurology Society, January 2014 "This is a thoroughly up-to-date text, divided into manageable topics, at a very reasonable price and I thoroughly recommend it to anyone who needs updating in the field of paediatrics or paediatric imaging." RAD, February 2014 Determine the best modality for each patient with state-of-the art discussions of the latest pediatric imaging techniques. Quickly grasp the fundamentals you need to know through a more precise, streamlined format, reorganized by systems and disease processes, as well as "Teaching Boxes" that highlight key points in each chapter. Apply all the latest pediatric advances in clinical fetal neonatology techniques, technology, and pharmacology. Achieve accurate diagnoses as safely as possible. Increased coverage of MRI findings and newer imaging techniques for all organ systems emphasizes imaging examination appropriateness and safety. Reap the fullest benefit from the latest neuroimaging techniques including diffusion tensor imaging, fMRI, and susceptibility weighted imaging. Keep current with the latest pediatric radiological knowledge and evidence-based practices. Comprehensive updates throughout include new and revised chapters on prenatal imaging; newer anatomic and functional imaging techniques (including advances in cardiac imaging); disease classifications and insights into imaging disease processes; and advanced imaging topics in neurological, thoracoabdominal, and musculoskeletal imaging. Compare your findings to more than 10,000 high-quality radiology images. Access the full text online at Expert Consult including illustrations, videos, and bonus online-only pediatric imaging content.
Together with the fundamentals of probability, random processes and statistical analysis, this insightful book also presents a broad range of advanced topics and applications. There is extensive coverage of Bayesian vs. frequentist statistics, time series and spectral representation, inequalities, bound and approximation, maximum-likelihood estimation and the expectation-maximization (EM) algorithm, geometric Brownian motion and Itô process. Applications such as hidden Markov models (HMM), the Viterbi, BCJR, and Baum–Welch algorithms, algorithms for machine learning, Wiener and Kalman filters, and queueing and loss networks are treated in detail. The book will be useful to students and researchers in such areas as communications, signal processing, networks, machine learning, bioinformatics, econometrics and mathematical finance. With a solutions manual, lecture slides, supplementary materials and MATLAB programs all available online, it is ideal for classroom teaching as well as a valuable reference for professionals.
div="" This book introduces undergraduate students of engineering and science to applied mathematics essential to the study of many problems. Topics are differential equations, power series, Laplace transforms, matrices and determinants, vector analysis, partial differential equations, complex variables, and numerical methods. Approximately, 160 examples and 1000 homework problems aid students in their study. This book presents mathematical topics using derivations rather than theorems and proofs. This textbook is uniquely qualified to apply mathematics to physical applications (spring-mass systems, electrical circuits, conduction, diffusion, etc.), in a manner that is efficient and understandable. This book is written to support a mathematics course after differential equations, to permit several topics to be covered in one semester, and to make the material comprehensible to undergraduates. An Instructor Solutions Manual, and also a Student Solutions Manual that provides solutions to select problems, is available. ^
Originally published in 1978. This book is designed to enable students on main courses in economics to comprehend literature which employs econometric techniques as a method of analysis, to use econometric techniques themselves to test hypotheses about economic relationships and to understand some of the difficulties involved in interpreting results. While the book is mainly aimed at second-year undergraduates undertaking courses in applied economics, its scope is sufficiently wide to take in students at postgraduate level who have no background in econometrics - it integrates fully the mathematical and statistical techniques used in econometrics with micro- and macroeconomic case studies.
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