Utvidet returrett til 31. januar 2025

Bøker i Synthesis Lectures on Engineering, Science, and Technology-serien

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  • av Deb Newberry
    599,-

    As long as humans have existed on the planet, they have looked at the world around them and wondered about much of what they saw. This book covers 21 different phenomena that have been observed in nature and puzzled about for decades.Only recently, with the development of the microscopes and other tools that allow us to study, evaluate, and test these observed phenomena at the molecular and atomic scale, have researchers been able to understand the science behind these observations. From the strength of a marine sponge found at the depths of the oceans, to the insect-hydroplaning surface of the edge of a plant, to the intricacies of the eyes of a moth, nanotechnology has allowed science to define and understand these amazing capabilities. In many cases, this new understanding has been applied to products and applications that benefit humans and the environment. For each of the five ecosystems- the ocean, insects, flora, fauna, and humans-the observations, study and understanding, and applications will be covered. The relationship between the more easily observed macro level and understanding what is found at the nanoscale will also be discussed.

  • av Ulziibayar Vandandoo
    370,-

    The monograph is devoted to the construction of the high-order finite difference and finite element methods for numerical solving multidimensional boundary-value problems (BVPs) for different partial differential equations, in particular, linear Helmholtz and wave equations, nonlinear Burgers¿ equations, and elliptic (Schrödinger) equation. Despite of a long history especially in development of the theoretical background of these methods there are open questions in their constructive implementation in numerical solving the multidimensional BVPs having additional requirement on physical parameters or desirable properties of its approximate solutions. Over the last two decades many papers on this topics have been published, in which new constructive approaches to numerically solving the multidimensional BVPs were proposed, and its highly desirable to systematically collect these results. This motivate us to write thus monograph based on our research results obtainedin collaboration with the co-authors. Since the topic is importance we believe that this book will be useful to readers, graduate students and researchers interested in the field of computational physics, applied mathematics, numerical analysis and applied sciences

  • av Khaled Salah Mohamed
    717 - 1 185,-

    This book discusses wireless communication systems from a transceiver and digital signal processing perspective. It is intended to be an advanced and thorough overview for key wireless communication technologies. A wide variety of wireless communication technologies, communication paradigms and architectures are addressed, along with state-of-the-art wireless communication standards. The author takes a practical, systems-level approach, breaking up the technical components of a wireless communication system, such as compression, encryption, channel coding, and modulation. This book combines hardware principles with practical communication system design. It provides a comprehensive perspective on emerging 5G mobile networks, explaining its architecture and key enabling technologies, such as M-MIMO, Beamforming, mmWaves, machine learning, and network slicing.  Finally, the author explores the evolution of wireless mobile networks over the next ten years towards 5G and beyond (6G), including use-cases, system requirements, challenges and opportunities.

  • av Horst Czichos
    469 - 511,-

    This concise textbook introduces a systems approach to technology, describing tribological, mechatronic, cyber-physical systems, and the technologic concept of Industry 4.0 to students in a range of engineering domains. "e;Technology"e; in this book refers to the totality of human-made, benefit-oriented products, based on engineered combinations of material, energy and information. Dr. Czichos examines technology in this volume in the context of systems thinking with regard to the following main technology areasTechnical systems with "e;interacting surfaces in relative motion"e; especially in mechanical engineering, production, and transport; including the analysis of friction-induced energy losses and wear-induced materials dissipation. Technical systems that require a combination of mechanics, electronics, controls, and computer engineering for needs of industry and society. Technical systems with a combination of mechatronics and internet communication. Cyber-physical Systems for the digitalization of Industry in the development project Industry 4.0.Considers technology as combination of the physical world and the digital virtual world of information and communication.Describes the product cycle of technical systems and the corner stones of technology: material, energy and information.Presents a holistic view of technology and engineering.

  • av Fariborz Barman
    585 - 717,-

    This book captures the author's 35+ years of learning & experience in the semiconductor chip industry to provide a proven roadmap for successful, new product introduction process, tailored specifically to the semiconductor industry. The content includes a simplified process flow, success metrics, execution guidelines, checklists & calculators. The presentation is based on a product engineering centric "e;NPI hub"e; and the author guides readers through the complete process of semiconductor new product introduction, ensuring a successful plan execution.

  • av Ann-Perry Witmer
    353,-

    This book shows readers a new way of thinking about the engineering design process, as well as how to expand their understanding of the role of technical designers in society, whether working with international communities or user populations from their own hometown. As readers build an understanding of Contextual Engineering, this book will challenge them to think about the applicability of the concept more broadly, not only in terms of technical design but in personal and professional interactions with others as well. At the same time, readers will learn techniques to explore their own predispositions and the biases they may not be aware they have, equipping them to interact with others more impartially. This self-reflection process also assists the designer in working with and accepting the uncertainty that is inherent in exploring context.

  • av Gennaro S. Rodrigues
    932 - 1 097,-

    This book introduces the concept of approximate computing for software and hardware designs and its impact on the reliability of embedded systems. It presents approximate computing methods and proposes approximate fault tolerance techniques applied to programmable hardware and embedded software to provide reliability at low computational costs. The book also presents fault tolerance techniques based on approximate computing, thus presenting how approximate computing can be applied to safety-critical systems.

  • av Maik Peter Kaufmann
    701 - 823,-

    This book is a comprehensive, all-in-one source on design of monolithic GaN power ICs. It is written in handbook style with systematic guidelines and includes implementation examples. It covers the full range from technology fundamentals to implementation details including design techniques specific for GaN technology. It provides a detailed loss analysis based on comparative measurements between silicon and GaN based converters to provide an understanding of the relations between design choices and results which can be transferred to other power converter systems.

  • av Jarred S. Glickstein
    1 007 - 1 317,-

    This book describes a new, extremely low frequency (ELF)/ very low frequency (VLF) miniaturized transmitter concept, based on the mechanical motion of permanent magnets or electrets. The authors explain how utilizing the very high energy density of modern ferromagnetic and ferroelectric materials, such "e;electromechanical transmitters'' can provide much higher field generation efficiency than conventional antennas, thus enabling practical ELF/VLF wireless communications links. The text begins with the fundamental challenges of such links and provides an historical overview of the attempts that have been made to address these challenges. It then focuses on the design and implementation of practical electromechanical ELF/VLF transmitters, which is an interdisciplinary subject that spans multiple research areas including electromagnetics, power electronics, control systems, and mechanical design. The authors also describe how such transmitters can be combined with receivers and signal processing algorithms to realize complete ELF/VLF links in challenging environments.

  • av Ricardo Madeira
    1 006,-

    This book provides a step-by-step methodology and system design that can be used to design a fully integrated PMU using SC DC-DC converters, for any CMOS technology. The authors discuss trade-offs between power density and efficiency of the methodology for the 130 nm CMOS technology, and how to implement it on other CMOS technologies. The book describes the state-of-the-art of fully or near-fully integrated SC DC-DC converters with multiple conversion ratios and the techniques used to enhance the overall performance of these converters. Coverage includes the trade-off between the number of conversion ratios and overall extracted efficiency from a supercapacitor, as well as the sizing of the converter cells according to the desired output power and maximum clock frequency. The authors also describe in detail the design of the fundamental blocks for the converter operation, which includes a secondary control loop using capacitance modulation by sensing the clock frequency.

  • av Sanjay Kumar
    1 185,-

    Additive manufacturing classification is one of the biggest issues faced by AM community. The book provides a comprehensive classification of AM, which can be useful to anyone working in any area of manufacturing. As the classification depends on the interrelation of various AM processes, the book provides concise and critical information of those processes, which can be helpful to anyone looking for a concise book on AM. The book provides original information unavailable in research papers.

  • av Hugo Serra
    717 - 1 185,-

    This book discusses the design of switched-capacitor filters in deep-submicron CMOS technologies. The authors describe several topologies for switched-capacitor filter circuits that do not require high-gain high-bandwidth amplifiers. Readers will also learn two analysis methodologies that can be implemented efficiently in software and integrated into optimization environments for the automation of design for switched-capacitor filters. Although the optimization examples discussed utilize low gain amplifiers, the demonstrated methodologies can also be used for conventional, high-gain high-bandwidth amplifiers.

  • av Farzin Asadi
    839,-

    This book explains and focuses on analysis of electric circuits using an up-to-date software package. The book is filled with examples that students will see throughout a standard electric circuit course. This book is a good source to accompany and complete theoretical work of professors. The author provides a single-source for anyone who needs to analyse an electric circuit.

  • av Korte Russell
    505,-

    Pragmatism attends to the practical outcomes of what we think and do, the social community in which we practice, and the bases of experience to inform our ideas and practices. Practice theories help explain what we do as complex systems of activity. Together, pragmatism and practice theories help broaden our understanding of the nature of engineering work as a social practice having important consequences for individuals and society. The practical nature of engineering embedded in our complex social and community systems is emphasized. Of all the pragmatists John Dewey's influence on education has been the most profound.He promoted social democracy in education. Although he founded experimental schools with this as their goal of major interest, to engineering educators his promotion of problem solving through a form of inquiry is his major attraction. Its modern embodiment is problem-based learning. It requires teachers to become facilitators of learning rather than transmitters of knowledge. How, within the framework of a traditionally oriented curriculum Dewey's epistemology of inquiry-based learning might be introduced is discussed. Lonergan's basic method of the human mind underlying specialized methods offers a basis for a unified theory and pedagogy of engineering. It also provides for a conception of engineering that gives due recognition to its ethical character and to the need for engineering virtues. This knowing-based view of engineering, focused on "e;engineering insight,"e; provides the basis for a core, discipline-neutral approach to engineering.It proposes an engineering education centered on norms inherent to the knowing process, specifically attentiveness and intentionality. These norms in turn provide a source for defining and developing engineering virtues and character.

  • av John Heywood
    701,-

    The intention of this book is to demonstrate that curriculum design is a profoundly philosophical exercise that stems from perceptions of the mission of higher education. Since the curriculum is the formal mechanism through which intended aims are achieved, philosophy has a profound role to play in the determination of aims. It is argued that the curriculum is far more than a list of subjects and syllabi, or that it is the addition, and subtraction, of items from a syllabus, or whether this subject should be added and that subject taken away. This book explores how curricular aims and objectives are developed by re-examining the curriculum of higher education and how it is structured in the light of its increasing costs, rapidly changing technology, and the utilitarian philosophy that currently governs the direction of higher education. It is concluded that higher education should be a preparation for and continuing support for life and work, a consequence of which is that it has to equip graduates with skill in independent learning (and its planning), and reflective practice. A transdisciplinary curriculum with technology at its core is deduced that serves the four realities of the person, the job, technology, and society.

  • av John Heywood
    323,-

    All educators bring to their work preconceived ideas of what the curriculum should be and how students learn. Seldom are they thought through. Since without an adequate philosophical base it is difficult to bring about desirable changes in policy and practice, it is necessary that educators have defensible philosophies of engineering education. This point is illustrated by recent debates on educational outcomes which can be analysed in terms of competing curriculum ideologies. While these ideologies inform the development of a philosophy of engineering education they do so in light of a philosophy of engineering for such a philosophy focuses on what engineering is, and in particular how it differs from science. This is addressed in this study through consideration of the differences in the modes of abstraction required for the pursuit of science on the one hand, and the pursuit of engineering design, on the other hand. It is shown that a philosophy of engineering is not a philosophy of science or a philosophy of engineering education, but it is from a philosophy of engineering that a philosophy of engineering education is drawn. Uncertainty is shown to be a key characteristic of engineering practice. A way of formulating a philosophy of engineering is to consider it through the classical prism that splits the subject into five divisions, namely epistemology, metaphysics, logic, ethics aesthetics. Additionally, "e;behaviour"e; also characterizes the practice of engineering.

  • av Colm T. Whelan
    630,-

    There is only a very limited number of physical systems that can be exactly described in terms of simple analytic functions. There are, however, a vast range of problems which are amenable to a computational approach. This book provides a concise, self-contained introduction to the basic numerical and analytic techniques, which form the foundations of the algorithms commonly employed to give a quantitative description of systems of genuine physical interest. The methods developed are applied to representative problems from classical and quantum physics.

  • av Ann Saterbak
    756,-

    Introduction to Engineering Design is a practical, straightforward workbook designed to systematize the often messy process of designing solutions to open-ended problems. IFrom learning about the problem to prototyping a solution, this workbook guides developing engineers and designers through the iterative steps of the engineering design process. Created in a freshman engineering design course over ten years, this workbook has been refined to clearly guide students and teams to success. Together with a series of instructional videos and short project examples, the workbook has space for teams to execute the engineering design process on a challenge of their choice. Designed for university students as well as motivated learners, the workbook supports creative students as they tackle important problems. IIntroduction to Engineering Design is designed for educators looking to use project-based engineering design in their classroom.

  • av Mojgan M Haghanikar
    371,-

    This book is aimed to help instructional designers, science game designers, science faculty, lab designers, and content developers in designing interactive learning experiences using emerging technologies and cyberlearning. The proposed solutions are for undergraduate and graduate scientific communication, engineering courses, scientific research communication, and workforce training.Reviewing across the science education literature reveals various aspects of unresolved challenges or inabilities in the visualization of scientific concepts. Visuospatial thinking is the fundamental part of learning sciences; however, promoting spatial thinking has not been emphasized enough in the educational system (Hegarty, 2014). Cognitive scientists distinguish between the multiple aspects of spatial ability and stresse that various problems or disciplines require different types of spatial skills. For example, the spatial ability to visualize anatomy cross-sections is significantly associated with mental rotation skills. The same is true for physical problems that often deal with spatial representations. However, most of the physics problems are marked by dynamicity, and visualizing dynamicity is inferred by the integrations of different participating components in the system. Therefore, what is needed for learning dynamicity is visualizing the mental animation of static episodes.This book is a leap into designing framework for using mixed reality (XR) technologies and cyberlearning in communicating advanced scientific concepts. The intention is to flesh out the cognitive infrastructure and visuospatial demands of complex systems and compare them in various contexts and disciplines. The practical implementation of emerging technology can be achieved by foreseeing each XR technology's affordances and mapping those out to the cognitive infrastructure and visuospatial demands of the content under development.

  • av Torben A. Lenau
    415,-

    As the existence of all life forms on our planet is currently in grave danger from the climate emergency caused by Homo sapiens, the words "e;sustainability"e; and "e;eco-responsibility"e; have entered the daily-use vocabularies of scientists, engineers, economists, business managers, industrialists, capitalists, and policy makers. Normal activities undertaken for the design of products and systems in industrialisms must be revamped. As the bioworld is a great resource for eco-responsible design activities, an overview of biologically inspired design is presented in this book in simple terms for anyone with even high-school education.Beginning with an introduction to the process of design in industry, the book presents the bioworld as a design resource along with the rationale for biologically inspired design. Problem-driven and solution-driven approaches for biologically inspired design are described next. The last chapter is focused on biologically inspired design for environment.

  • av George D. Catalano
    655,-

    While more and more undergraduate engineering programs are moving toward a multi-disciplinary capstone experience, there remains a need for a suitable textbook. The present text seeks to meet that need by providing a student friendly step by step template for this important and culminating academic journey beginning with the student design team's first meeting with the client to the final report and presentation. The text provides a wide range of design tools, a discussion of various design methodologies, a brief history of modern engineering, and a substantive consideration of engineering ethics. In addition, chapters are included on communication, team building and dealing with the inevitable obstacles that students encounter. Throughout the text, emphasis is placed upon the issues of environmental impact and the importance of diversity.

  • av Baris Burnak
    764,-

    This book presents a comprehensive optimization-based theory and framework that exploits the synergistic interactions and tradeoffs between process design and operational decisions that span different time scales. Conventional methods in the process industry often isolate decision making mechanisms with a hierarchical information flow to achieve tractable problems, risking suboptimal, even infeasible operations. In this book, foundations of a systematic model-based strategy for simultaneous process design, scheduling, and control optimization is detailed to achieve reduced cost and improved energy consumption in process systems. The material covered in this book is well suited for the use of industrial practitioners, academics, and researchers.In Chapter 1, a historical perspective on the milestones in model-based design optimization techniques is presented along with an overview of the state-of-the-art mathematical tools to solve the resulting complex problems. Chapters 2 and 3 discuss two fundamental concepts that are essential for the reader. These concepts are (i) mixed integer dynamic optimization problems and two algorithms to solve this class of optimization problems, and (ii) developing a model based multiparametric programming model predictive control. These tools are used to systematically evaluate the tradeoffs between different time-scale decisions based on a single high-fidelity model, as demonstrated on (i) design and control, (ii) scheduling and control, and (iii) design, scheduling, and control problems. We present illustrative examples on chemical processing units, including continuous stirred tank reactors, distillation columns, and combined heat and power regeneration units, along with discussions of other relevant work in the literature for each class of problems.

  • av Michael Wiescher
    800,-

    The characterization of cultural heritage objects becomes increasingly important for conservation, restoration, dating, and authentication purposes. The use of scientific methods in archaeometry and conservation science has led to a significant broadening of the field. Scientific analysis of these objects is a challenging task due to their complex composition, artistic and historical values requiring the use of minimally invasive and nondestructive analytical procedures. This textbook summarizes scientific methods that are currently used to characterize objects of cultural heritage and archaeological artifacts.This book provides a brief description of the structure of matter at the molecular, atomic, and nuclear levels. Furthermore, it discusses the chemical and physical nature of materials from the molecular to the atomic and nuclear level as determined by the principles of quantum mechanics. Important aspects of natural and anthropogenic radioactivity that play a critical role for some of the analytical techniques are also emphasized. The textbook also provides principals and applications of spectroscopic methods for characterization of cultural heritage objects. It describes the technologies with specific examples for utilization of spectroscopic techniques in the characterization of paintings, books, coins, ceramics, and other objects. Analytic approaches that employ isotopes and determination of isotope ratios will be reviewed. General principles of imaging techniques and specific examples for utilization of these methods will also be summarized. In the later part of the book, a number of scientific techniques for the age determination of cultural heritage material and archaeological artifacts will be presented and discussed with specific examples.

  • av Gregory A. DiLisi
    637,-

    This book focuses on a forensics-style re-examination of several historical events. The purpose of these studies is to afford readers the opportunity to apply basic principles of physics to unsolved mysteries and controversial events in order to settle the historical debate. We identify nine advantages of using case studies as a pedagogical approach to understanding forensic physics. Each of these nine advantages is the focus of a chapter of this book. Within each chapter, we show how a cascade of unlikely events resulted in an unpredictable catastrophe and use introductory-level physics to analyze the outcome. Armed with the tools of a good forensic physicist, the reader will realize that the historical record is far from being a set of agreed upon immutable facts; instead, it is a living, changing thing that is open to re-visitation, re-examination, and re-interpretation.

  • av Deb Newberry
    401,-

    Nanoscience and nanotechnology, the application of the research-based nanoscale science, have changed significantly over the last three and a half decades. The "e;bucky"e; ball, 60 carbon atoms arranged like a soccer ball, and an often-used symbol of nanotechnology, was discovered in 1985 and 4 years later scientists at IBM were able to manipulate xenon atoms on a surface. In the intervening years, nanotechnology has evolved from a singly focused research topic to an understanding that infiltrates every aspect of science and engineering disciplines. In addition, nanotechnology, and both naturally occurring and engineered nanomaterials, have become the focus of legal, environmental, and application and regulation disciplines. The first portion of this text serves as an introduction to nanotechnology: the history, mathematical concepts, and instruments required to study and manipulate the world at the atomic scale. The later portion of the text discusses the connectivity of nanotechnology to the more traditional scientific disciplines as well as emerging technologies.This text can serve as an introduction to the nanoscale for science, computer science, and engineering disciplines. It can also provide a valuable foundation for disciplines such as industrial hygiene, architecture, sociology, ethics, and the humanities. There does not exist an educational discipline, market segment, or career avenue which will not be impacted by nanotechnology.

  • av Wendy C. Crone
    415,-

    Undergraduate and first-year graduate students engaging in engineering research need more than technical skills and tools to be successful. From finding a research position and funding, to getting the mentoring needed to be successful while conducting research responsibly, to learning how to do the other aspects of research associated with project management and communication, this book provides novice researchers with the guidance they need to begin developing mastery. Awareness and deeper understanding of the broader context of research reduces barriers to success, increases capacity to contribute to a research team, and enhances ability to work both independently and collaboratively. Being prepared for what's to come and knowing the questions to ask along the way allows those entering researcher to become more comfortable engaging with not only the research itself but also their colleagues and mentors.

  • av John Lekner
    701,-

    The theory of electromagnetic beams is presented in a simple and physical way, with all necessary mathematics explained in the text. The topics covered are in free-space classical electrodynamics, but contact is made with quantum theory in proofs that causal beams of various kinds can be viewed as superpositions of photons. This follows from explicit expressions for the energy, momentum and angular momentum per unit length for each type of beam. The properties of beams in the focal region, of special experimental and theoretical interest, are discussed in detail.There are eight chapters: on Fundamentals, Beam-like solutions of the Helmholtz equation, Electromagnetic beams, Polarization, Chirality, Comparison of electromagnetic beams, a chapter on Sound beams and particle beams (to show the similarities to and differences from the vector electromagnetic beams), and a final chapter on Measures of focal extent. Ten Appendices cover mathematical or associated physical topics.

  • av Martin Land
    693,-

    This book presents classical relativistic mechanics and electrodynamics in the Feynman-Stueckelberg event-oriented framework formalized by Horwitz and Piron. The full apparatus of classical analytical mechanics is generalized to relativistic form by replacing Galilean covariance with manifest Lorentz covariance and introducing a coordinate-independent parameter ,,,, to play the role of Newton's universal and monotonically advancing time. Fundamental physics is described by the ,,,,-evolution of a system point through an unconstrained 8D phase space, with mass a dynamical quantity conserved under particular interactions. Classical gauge invariance leads to an electrodynamics derived from five ,,,,-dependent potentials described by 5D pre-Maxwell field equations. Events trace out worldlines as ,,,, advances monotonically, inducing pre-Maxwell fields by their motions, and moving under the influence of these fields. The dynamics are governed canonically by a scalar Hamiltonian that generates evolution of a 4D block universe defined at ,,,, to an infinitesimally close 4D block universe defined at ,,,,+,,,,,,,,. This electrodynamics, and its extension to curved space and non-Abelian gauge symmetry, is well-posed and integrable, providing a clear resolution to grandfather paradoxes. Examples include classical Coulomb scattering, electrostatics, plane waves, radiation from a simple antenna, classical pair production, classical CPT, and dynamical solutions in weak field gravitation. This classical framework will be of interest to workers in quantum theory and general relativity, as well as those interested in the classical foundations of gauge theory.

  • av Matt Marone
    701,-

    Blending physics with the study of ancient Chinese science, technology, and culture is a unique and highly effective way to present the fundamentals of physics to non-science majors. Based on the author¿s course at Mercer University (Georgia, U.S.), The Art of Teaching Physics with Ancient Chinese Science and Technology exposes a wide range of students to the scientific method and techniques of experimental analysis through the eyes and discoveries of ancient Chinese ¿polymaths¿ long before the European concept of the scientific method was even considered. No other book so deftly makes the connections from ancient China to Ben Franklin to Michael Faraday while teaching physics at the same time.A distinctive characteristic of this book is the detailed hands-on laboratory experiments. This first includes making a simple magnetic compass and magnetometer. Students then use the compass/magnetometer to measure the strength of the magnetic field produced by a long straight wire. The second experiment covers two different methods of mining copper to introduce students to simple chemical principles such as displacement reactions, oxidation, reduction, and electronegativity.Originally developed for non-science students in an Asian studies environment, this book provides a valuable resource for science teachers who wish to explore the historical connections largely ignored in traditional texts. When paired with Teaching Physics through Ancient Chinese Science and Technology (Marone, 2019), these two texts provide a unique means of studying selected topics traditionally found in a two-semester Physics course.

  • av John Beaver
    764,-

    A brief overview of astronomy and cosmology is presented in five different ways, through the lenses of space, time, evolution, process, and structure. Specific topics are chosen for their contribution to a "big picture" understanding of the interconnectedness of knowledge in astronomy and cosmology. Thus, many topics (stellar astronomy for example) are treated in multiple sections, but from different viewpoints¿for example, sizes and distances of stars (space); when stars appeared in the history of the universe (time); stellar evolution (evolution); hydrostatic equilibrium and stellar spectra (process); and stellar structure (structure). Some topics traditional to the introductory astronomy curriculum¿eclipses and lunar phases, for example¿are omitted altogether as they are inessential for the big-picture goals of the book, and excellent summaries are easily available elsewhere. On the other hand, the book treats some topics not usually covered in an introductory astronomy course, forexample the roles played by equilibrium processes and symmetry in our understanding of the universe. The level is for the beginning undergraduate, with only basic skills in rudimentary algebra assumed. But more advanced students and teachers will also find the book useful as both a set of practical tools and a point of departure for taking stock (in five different ways) of the current state of knowledge in astronomy and cosmology.

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