This book is for a general scientific and engineering audience as a guide to current ideas, methods, and models for stochastic modeling of microstructures. It is a reference for professionals in material modeling, mechanical engineering, materials science, chemical, civil, environmental engineering and applied mathematics.
Explores the contentious debates among Black Catholics about the proper relationship between religious practice and racial identity Chicago has been known as the Black Metropolis. But before the Great Migration, Chicago could have been called the Catholic Metropolis, with its skyline defined by parish spires as well as by industrial smoke stacks and skyscrapers. This book uncovers the intersection of the two. Authentically Black and Truly Catholic traces the developments within the church in Chicago to show how Black Catholic activists in the 1960s and 1970s made Black Catholicism as we know it today. The sweep of the Great Migration brought many Black migrants face-to-face with white missionaries for the first time and transformed the religious landscape of the urban North. The hopes migrants had for their new home met with the desires of missionaries to convert entire neighborhoods. Missionaries and migrants forged fraught relationships with one another and tens of thousands of Black men and women became Catholic in the middle decades of the twentieth century as a result. These Black Catholic converts saved failing parishes by embracing relationships and ritual life that distinguished them from the evangelical churches proliferating around them. They praised the “quiet dignity” of the Latin Mass, while distancing themselves from the gospel choirs, altar calls, and shouts of “amen!” increasingly common in Black evangelical churches. Their unique rituals and relationships came under intense scrutiny in the late 1960s, when a growing group of Black Catholic activists sparked a revolution in U.S. Catholicism. Inspired by both Black Power and Vatican II, they fought for the self-determination of Black parishes and the right to identify as both Black and Catholic. Faced with strong opposition from fellow Black Catholics, activists became missionaries of a sort as they sought to convert their coreligionists to a distinctively Black Catholicism. This book brings to light the complexities of these debates in what became one of the most significant Black Catholic communities in the country, changing the way we view the history of American Catholicism.
Shells are basic structural elements of modern technology and everyday life. Examples are automobile bodies, water and oil tanks, pipelines, aircraft fuselages, nanotubes, graphene sheets or beer cans. Also nature is full of living shells such as leaves of trees, blooming flowers, seashells, cell membranes, the double helix of DNA or wings of insec
Methods of signal analysis represent a broad research topic with applications in many disciplines, including engineering, technology, biomedicine, seismography, eco nometrics, and many others based upon the processing of observed variables. Even though these applications are widely different, the mathematical background be hind them is similar and includes the use of the discrete Fourier transform and z-transform for signal analysis, and both linear and non-linear methods for signal identification, modelling, prediction, segmentation, and classification. These meth ods are in many cases closely related to optimization problems, statistical methods, and artificial neural networks. This book incorporates a collection of research papers based upon selected contri butions presented at the First European Conference on Signal Analysis and Predic tion (ECSAP-97) in Prague, Czech Republic, held June 24-27, 1997 at the Strahov Monastery. Even though the Conference was intended as a European Conference, at first initiated by the European Association for Signal Processing (EURASIP), it was very gratifying that it also drew significant support from other important scientific societies, including the lEE, Signal Processing Society of IEEE, and the Acoustical Society of America. The organizing committee was pleased that the re sponse from the academic community to participate at this Conference was very large; 128 summaries written by 242 authors from 36 countries were received. In addition, the Conference qualified under the Continuing Professional Development Scheme to provide PD units for participants and contributors.
Multivariate Survival Analysis and Competing Risks introduces univariate survival analysis and extends it to the multivariate case. It covers competing risks and counting processes and provides many real-world examples, exercises, and R code. The text discusses survival data, survival distributions, frailty models, parametric methods, multivariate
In the first century after its discovery, the electron has come to be a fundamental element in the analysis of physical aspects of nature. This book is devoted to the construction of a deductive theory of the electron, starting from first principles and using a simple mathematical tool, geometric analysis. Its purpose is to present a comprehensive theory of the electron to the point where a connection can be made with the main approaches to the study of the electron in physics. The introduction describes the methodology. Chapter 2 presents the concept of space-time-action relativity theory and in chapter 3 the mathematical structures describing action are analyzed. Chapters 4, 5, and 6 deal with the theory of the electron in a series of aspects where the geometrical analysis is more relevant. Finally in chapter 7 the form of geometrical analysis used in the book is presented to elucidate the broad range of topics which are covered and the range of mathematical structures which are implicitly or explicitly included. The book is directed to two different audiences of graduate students and research scientists: primarily to theoretical physicists in the field of electron physics as well as those in the more general field of quantum mechanics, elementary particle physics, and general relativity; secondly, to mathematicians in the field of geometric analysis.
This text provides the reader with the necessary technical tools and background to reach the frontiers of research without the introduction of too many extraneous concepts. Detailed and accessible proofs are included, as are a variety of exercises and problems. The two new chapters in this second edition are devoted to two topics of much current interest amongst functional analysts: Greedy approximation with respect to bases in Banach spaces and nonlinear geometry of Banach spaces. This new material is intended to present these two directions of research for their intrinsic importance within Banach space theory, and to motivate graduate students interested in learning more about them. This textbook assumes only a basic knowledge of functional analysis, giving the reader a self-contained overview of the ideas and techniques in the development of modern Banach space theory. Special emphasis is placed on the study of the classical Lebesgue spaces Lp (and their sequence space analogues) and spaces of continuous functions. The authors also stress the use of bases and basic sequences techniques as a tool for understanding the isomorphic structure of Banach spaces. From the reviews of the First Edition: "The authors of the book...succeeded admirably in creating a very helpful text, which contains essential topics with optimal proofs, while being reader friendly... It is also written in a lively manner, and its involved mathematical proofs are elucidated and illustrated by motivations, explanations and occasional historical comments... I strongly recommend to every graduate student who wants to get acquainted with this exciting part of functional analysis the instructive and pleasant reading of this book..."—Gilles Godefroy, Mathematical Reviews
This book discusses the Pleistocene amphibians and reptiles in Britain and the European continent eastward through present-day Poland, the Czech Republic, Hungary, the Yugoslavian republics, and Greece"--Publisher description.
Hydrogen bonded systems play an important role in all aspects of science but particularly chemistry and biology. Notably, the helical structure of DNA is heavily reliant on the hydrogens bonds between the DNA base pairs. Although the area of hydrogen bonding is one that is well established, our understanding has continued to develop as the power of both computational and experimental techniques has improved. Understanding Hydrogen Bonds presents an up-to-date overview of our theoretical and experimental understanding of the hydrogen bond. Well-established and novel approaches are discussed, including quantum theory of ‘atoms in molecules’ (QTAIM); the electron localization function (ELF) method and Car–Parinnello molecular dynamics; the natural bond orbital (NBO) approach; and X-ray and neutron diffraction and spectroscopy. The mechanism of hydrogen bond formation is described and comparisons are made between hydrogen bonds and other types of interaction. The author also takes a look at new types of interaction that may be classified as hydrogen bonds with a focus on those with multicentre proton acceptors or with multicentre proton donors. Understanding Hydrogen Bonds is a valuable reference for experimentalists and theoreticians interested in updating their understanding of the types of hydrogen bonds, their role in chemistry and biology, and how they can be studied.
This textbook and treatise begins with classical real variables, develops the Lebesgue theory abstractly and for Euclidean space, and analyzes the structure of measures. The authors' vision of modern real analysis is seen in their fascinating historical commentary and perspectives with other fields. There are comprehensive treatments of the role of absolute continuity, the evolution of the Riesz representation theorem to Radon measures and distribution theory, weak convergence of measures and the Dieudonné–Grothendieck theorem, modern differentiation theory, fractals and self-similarity, rearrangements and maximal functions, and surface and Hausdorff measures. There are hundreds of illuminating exercises, and extensive, focused appendices on functional and Fourier analysis. The presentation is ideal for the classroom, self-study, or professional reference.
Among the simplest combinatorial designs, triple systems have diverse applications in coding theory, cryptography, computer science, and statistics. This book provides a systematic and comprehensive treatment of this rich area of mathematics.
Applied Functional Analysis, Third Edition provides a solid mathematical foundation for the subject. It motivates students to study functional analysis by providing many contemporary applications and examples drawn from mechanics and science. This well-received textbook starts with a thorough introduction to modern mathematics before continuing with detailed coverage of linear algebra, Lebesque measure and integration theory, plus topology with metric spaces. The final two chapters provides readers with an in-depth look at the theory of Banach and Hilbert spaces before concluding with a brief introduction to Spectral Theory. The Third Edition is more accessible and promotes interest and motivation among students to prepare them for studying the mathematical aspects of numerical analysis and the mathematical theory of finite elements.
Pediatric Injectable Drugs, also known as “The Teddy Bear Book,” is one of the ASHP’s most recognized and trusted resources dedicated to helping pharmacists treat pediatric patients with injectable drugs. For more than 20 years, pharmacists and hospital pediatric teams have looked to Pediatric Injectable Drugs (The Teddy Bear Book) for the most comprehensive research-based information on pediatric intravenous infusions. Now for the first time since 2013, a new edition of this trusted resource is available! The “Teddy Bear Book”, is the only reference of its kind that focuses on the unique issues that pediatric practitioners face when dealing with pediatric injectable drugs, such as limited fluid amounts, limited intravenous sites, and maximum doses. The updated edition of this comprehensive resource by respected editors Stephanie J. Phelps, PharmD, BCPS, Kelley R. Lee, PharmD, Amanda Jill Thompson, PharmD, and Tracy M. Hagemann, PharmD, FCCP, includes 15 new monographs and updates based on the latest evidence-backed literature.
This volume presents answers to some natural questions of a general analytic character that arise in the theory of Banach spaces. I believe that altogether too many of the results presented herein are unknown to the active abstract analysts, and this is not as it should be. Banach space theory has much to offer the prac titioners of analysis; unfortunately, some of the general principles that motivate the theory and make accessible many of its stunning achievements are couched in the technical jargon of the area, thereby making it unapproachable to one unwilling to spend considerable time and effort in deciphering the jargon. With this in mind, I have concentrated on presenting what I believe are basic phenomena in Banach spaces that any analyst can appreciate, enjoy, and perhaps even use. The topics covered have at least one serious omission: the beautiful and powerful theory of type and cotype. To be quite frank, I could not say what I wanted to say about this subject without increasing the length of the text by at least 75 percent. Even then, the words would not have done as much good as the advice to seek out the rich Seminaire Maurey-Schwartz lecture notes, wherein the theory's development can be traced from its conception. Again, the treasured volumes of Lindenstrauss and Tzafriri also present much of the theory of type and cotype and are must reading for those really interested in Banach space theory.
This is the story of a boy raised up in a village in Poland during World War II, with his father deported to concentration camps throughout the war. Some years after he graduated from medical school, he serendipitously entered the then developing field of dialysis, and he eventually embarked on a career-long practice in the field, where he contributed to the development of a number of new inventions and therapeutic methods. The book contains 13 chapters covering the author's childhood, education, and his career-long contributions to the field of nephrology. The book includes inspirational stories of his patients; the struggles he faced in the course of getting his numerous inventions patented; his research work in the 1990s; his work of teaching and consulting; and not the least, his travels to interesting places unrelated to business. The book concludes with an epilogue summarizing his life, as well as his predictions regarding treatment of chronic renal failure in the future.
The Gold Standard for Congress Courses for Over Thirty Years Congress and Its Members offers comprehensive coverage of the U.S. Congress and the legislative process by examining the tension between Congress as a lawmaking institution and as a collection of politicians constantly seeking re-election. The highly anticipated Eighteenth Edition considers the 2020 elections, the final years of the Trump administration, and first 100 days of the Biden Administration while discussing the agenda of the new Congress, White House–Capitol Hill relations, party and committee leadership changes, judicial appointments, and partisan polarization, in addition to covering changes to budgeting, campaign finance, lobbying, public attitudes about Congress, reapportionment, rules, and procedures. Always balancing great scholarship with currency, this bestseller features lively case material along with relevant data, charts, exhibits, maps, and photos. New and updated material for the 18th edition includes: Analysis of the 2020 congressional elections, including increased nationalization, regional shifts, and member turnover Data on the diversity of the new Congress in terms of race, ethnicity, gender, and professional background Explanation of recent Supreme Court rulings on partisan gerrymandering Overview of the post-2020 census reapportionment of House seats and prospects for partisan gerrymandering Effects of the 2020 coronavirus pandemic on congressional campaigns, election administration, congressional rules and procedures, lobbying, and federal budget politics. The post-2020 politics of organizing a 50-50 Senate and prospects of Senate filibuster reform Congress’s return to earmarks and other adjustments to congressional rules and procedures The Biden administration’s approach to trade and diplomacy and its effects on congressional politics Coverage of the January 6, 2021 attack on the Capitol and what it says about Congress′s relationship with the public and its role in American democracy Updated data on public opinion of Congress and Congress′s productivity as a lawmaking institution A new concluding chapter reflecting on Congress’s institutional strengths and weaknesses Fresh examples and illustrations in every chapter relating concepts to recent events and contemporary members
Responses of Plants to Environmental Stresses, Second Edition, Volume I: Chilling, Freezing, and High Temperature Stresses encompasses essentially all the environmental stresses that have been intensively investigated. However, this edition does not include mineral deficiencies, which comprise too broad and involve a field to be incorporated with other stresses. This book attempts to analyze the possibilities of developing unified concepts of stress injury and resistance. Organized into four parts, this edition first discusses the stress concepts, particularly the stress and strain terminologies, as well as the nature of stress injury and resistance. Stresses at chilling, freezing, and high-temperatures are addressed separately.
This new adaptation of Arfken and Weber's bestselling Mathematical Methods for Physicists, Fifth Edition, is the most comprehensive, modern, and accessible reference for using mathematics to solve physics problems. REVIEWERS SAY: "Examples are excellent. They cover a wide range of physics problems." --Bing Zhou, University of Michigan "The ideas are communicated very well and it is easy to understand...It has a more modern treatment than most, has a very complete range of topics and each is treated in sufficient detail....I'm not aware of another better book at this level..." --Gary Wysin, Kansas State University This is a more accessible version of Arken/Weber's blockbuster reference, which already has more than 13,000 sales worldwide Many more detailed, worked-out examples illustrate how to use and apply mathematical techniques to solve physics problems More frequent and thorough explanations help readers understand, recall, and apply the theory New introductions and review material provide context and extra support for key ideas Many more routine problems reinforce basic, foundational concepts and computations
The book presents surveys describing recent developments in most of the primary subfields ofGeneral Topology and its applications to Algebra and Analysis during the last decade. It follows freelythe previous edition (North Holland, 1992), Open Problems in Topology (North Holland, 1990) and Handbook of Set-Theoretic Topology (North Holland, 1984). The book was prepared inconnection with the Prague Topological Symposium, held in 2001. During the last 10 years the focusin General Topology changed and therefore the selection of topics differs slightly from thosechosen in 1992. The following areas experienced significant developments: Topological Groups, Function Spaces, Dimension Theory, Hyperspaces, Selections, Geometric Topology (includingInfinite-Dimensional Topology and the Geometry of Banach Spaces). Of course, not every important topic could be included in this book. Except surveys, the book contains several historical essays written by such eminent topologists as:R.D. Anderson, W.W. Comfort, M. Henriksen, S. Mardeŝić, J. Nagata, M.E. Rudin, J.M. Smirnov (several reminiscences of L. Vietoris are added). In addition to extensive author and subject indexes, a list of all problems and questions posed in this book are added. List of all authors of surveys: A. Arhangel'skii, J. Baker and K. Kunen, H. Bennett and D. Lutzer, J. Dijkstra and J. van Mill, A. Dow, E. Glasner, G. Godefroy, G. Gruenhage, N. Hindman and D. Strauss, L. Hola and J. Pelant, K. Kawamura, H.-P. Kuenzi, W. Marciszewski, K. Martin and M. Mislove and M. Reed, R. Pol and H. Torunczyk, D. Repovs and P. Semenov, D. Shakhmatov, S. Solecki, M. Tkachenko.
Intended as a textbook for an electronic circuit analysis course or a reference for practicing engineers, the book uses a self-study format with hundreds of worked examples to master difficult mathematical topics and circuit design issues. Computer programs using MATLAB on the accompanying CD-ROM provide calculations and executables for visualizing and solving applications from industry. It covers the complex mathematical topics and concepts needed to understand and solve serious problems with circuits."--Publisher's description.
This best-selling title provides in one handy volume the essential mathematical tools and techniques used to solve problems in physics. It is a vital addition to the bookshelf of any serious student of physics or research professional in the field. The authors have put considerable effort into revamping this new edition. Updates the leading graduate-level text in mathematical physics Provides comprehensive coverage of the mathematics necessary for advanced study in physics and engineering Focuses on problem-solving skills and offers a vast array of exercises Clearly illustrates and proves mathematical relations New in the Sixth Edition: Updated content throughout, based on users' feedback More advanced sections, including differential forms and the elegant forms of Maxwell's equations A new chapter on probability and statistics More elementary sections have been deleted
Visualizing More Quaternions, Volume Two updates on proteomics-related material that will be useful for biochemists and biophysicists, including material related to electron microscopy (and specifically cryo-EVisualizing. Dr. Andrew J. Hanson’s groundbreaking book updates and extends concepts that have evolved since the first book published in 2005, adding entirely new insights that Dr. Hanson’s research has recently developed. This includes the applications of quaternion methods to proteomics and molecular crystallography problems, which are domains with significant current research and application activity. In addition to readers interested in quaternions for their own sake, scientists involved in computer graphics, animation, shape modeling, and scientific visualization, and readers from several other disciplines will benefit from this new volume. Foremost among these, and the target of the first several chapters, are scientists involved in molecular chemistry where techniques based on quaternion eigensystems have become a standard tool for evaluating the quality of shape matching. Establishes basic principles for visual display of quaternions and their applications. Explores quaternion based approaches to the matching of point cloud pairs, including approaches to data from orthographic and perspective projections. Develops extensive applications of quaternion frames to protein orientation analysis. Analyzes the application of quaternion methods to physics problems ranging from quantum computing to special relativity and gravitational instantons.
Energy Methods and Finite Element Techniques: Stress and Vibration Applications provides readers with a complete understanding of the theory and practice of finite element analysis using energy methods to better understand, predict, and mitigate static stress and vibration in different structural and mechanical configurations. It presents readers with the underlying theory, techniques for implementation, and field-tested applications of these methods using linear ordinary differential equations. Statistical energy analysis and its various applications are covered, and applications discussed include plate problems, bars and beams, plane strain and stress, 3D elasticity problems, vibration problems, and more. Higher order plate and shell elements, steady state heat conduction, and shape function determinations and numerical integration are analyzed as well. Introduces the theory, practice, and applications of energy methods and the finite element method for predicting and mitigating structural stress and vibrations Outlines modified finite element techniques such as those with different classes of meshes and basic functions Discusses statistical energy analysis and its vibration and acoustic applications
The remarkable breadth of modern molecular mechanics is covered in this textbook, developed for an undergraduate or first-time course on molecular mechanics. With applications ranging from drug design to homogeneous transition metal catalysis, the book implements a case-study approach designed to give readers exposure to the relevance and utility of molecular mechanics, as well as the opportunity to study a particular problem and its solution in depth.
Why are the economic interests and priorities of lower- and middle-class Americans so often ignored by the U.S. Congress, while the economic interests of the wealthiest are prioritized, often resulting in policies favorable to their interests? In Hijacking the Agenda, political scientists Christopher Witko, Jana Morgan, Nathan J. Kelly, and Peter K. Enns examine why Congress privileges the concerns of businesses and the wealthy over those of average Americans. They go beyond demonstrating that such economic bias exists to illuminate precisely how and why economic policy is so often skewed in favor of the rich. The authors analyze over 20 years of floor speeches by several hundred members of Congress to examine the influence of campaign contributions on how the national economic agenda is set in Congress. They find that legislators who received more money from business and professional associations were more likely to discuss the deficit and other upper-class priorities, while those who received more money from unions were more likely to discuss issues important to lower- and middle-class constituents, such as economic inequality and wages. This attention imbalance matters because issues discussed in Congress receive more direct legislative action, such as bill introductions and committee hearings. While unions use campaign contributions to push back against wealthy interests, spending by the wealthy dwarfs that of unions. The authors use case studies analyzing financial regulation and the minimum wage to demonstrate how the financial influence of the wealthy enables them to advance their economic agenda. In each case, the authors examine the balance of structural power, or the power that comes from a person or company’s position in the economy, and kinetic power, the power that comes from the ability to mobilize organizational and financial resources in the policy process. The authors show how big business uses its structural power and resources to effect policy change in Congress, as when the financial industry sought deregulation in the late 1990s, resulting in the passage of a bill eviscerating New Deal financial regulations. Likewise, when business interests want to preserve the policy status quo, it uses its power to keep issues off of the agenda, as when inflation eats into the minimum wage and its declining purchasing power leaves low-wage workers in poverty. Although groups representing lower- and middle-class interests, particularly unions, can use their resources to shape policy responses if conditions are right, they lack structural power and suffer significant resource disadvantages. As a result, wealthy interests have the upper hand in shaping the policy process, simply due to their pivotal position in the economy and the resulting perception that policies beneficial to business are beneficial for everyone. Hijacking the Agenda is an illuminating account of the way economic power operates through the congressional agenda and policy process to privilege the interests of the wealthy and marks a major step forward in our understanding of the politics of inequality.
Essentials of Math Methods for Physicists aims to guide the student in learning the mathematical language used by physicists by leading them through worked examples and then practicing problems. The pedagogy is that of introducing concepts, designing and refining methods and practice them repeatedly in physics examples and problems. Geometric and algebraic approaches and methods are included and are more or less emphasized in a variety of settings to accommodate different learning styles of students. Comprised of 19 chapters, this book begins with an introduction to the basic concepts of vector algebra and vector analysis and their application to classical mechanics and electrodynamics. The next chapter deals with the extension of vector algebra and analysis to curved orthogonal coordinates, again with applications from classical mechanics and electrodynamics. These chapters lay the foundations for differential equations, variational calculus, and nonlinear analysisin later discussions. High school algebra of one or two linear equations is also extended to determinants and matrix solutions of general systems of linear equations, eigenvalues and eigenvectors, and linear transformations in real and complex vector spaces. The book also considers probability and statistics as well as special functions and Fourier series. Historical remarks are included that describe some physicists and mathematicians who introduced the ideas and methods that were perfected by later generations to the tools routinely used today. This monograph is intended to help undergraduate students prepare for the level of mathematics expected in more advanced undergraduate physics and engineering courses.
The appearance of Banach's book [8] in 1932 signified the beginning of a syste matic study of normed linear spaces, which have been the subject of continuous research ever since. In the sixties, and especially in the last decade, the research activity in this area grew considerably. As a result, Ban:ach space theory gained very much in depth as well as in scope: Most of its well known classical problems were solved, many interesting new directions were developed, and deep connections between Banach space theory and other areas of mathematics were established. The purpose of this book is to present the main results and current research directions in the geometry of Banach spaces, with an emphasis on the study of the structure of the classical Banach spaces, that is C(K) and Lip.) and related spaces. We did not attempt to write a comprehensive survey of Banach space theory, or even only of the theory of classical Banach spaces, since the amount of interesting results on the subject makes such a survey practically impossible.
This book introduces the reader to the basic principles of functional analysis and to areas of Banach space theory that are close to nonlinear analysis and topology. In the first part, the book develops the classical theory, including weak topologies, locally convex spaces, Schauder bases, and compact operator theory. The presentation is self-contained, including many folklore results, and the proofs are accessible to students with the usual background in real analysis and topology. The second part covers topics in convexity and smoothness, finite representability, variational principles, homeomorphisms, weak compactness and more. Several results are published here for the first time in a monograph. The text can be used in graduate courses or for independent study. It includes a large number of exercises of different levels of difficulty, accompanied by hints. The book is also directed to young researchers in functional analysis and can serve as a reference book.This is an introduction to basic principles of functional analysis and to areas of Banach space theory close to nonlinear analysis and topology. The first part, which develops the classical theory, is self-contained and features a large number of exercises containing many important results. The second part covers selected topics in the theory of Banach spaces related to smoothness and topology. It is intended to be an introduction to and complement of existing books on the subject. This text may be used in graduate courses, for independent study, or as a reference book.
An autobiography of Detective Lieutenant David J. Kane and his thirty year career on the Milwaukee, Wisconsin Police Department during the years 1970-2000. Ride along in his squad or walk a beat with him as he takes you back to his early years catching street criminals. Travel back to many horrific homicide scenes and sit through the interrogations of the suspects. There are many funny and interesting stories to keep you entertained as he goes behind the scenes of the Jeffery Dahmer, Lawrencia Bembenek and many other high profile murder cases during the latter part of the 20th century.
Intermediate-level survey covers remainder theory, convergence theorems, and uniform and best approximation. Other topics include least square approximation, Hilbert space, orthogonal polynomials, theory of closure and completeness, and more. 1963 edition.
Metrics, Norms and Integrals is a textbook on contemporary analysis based on the author's lectures given at the University of Melbourne for over two decades. It covers three main topics: metric and topological spaces, functional analysis, and the theory of the Lebesgue integral on measure spaces. This self-contained text contains a number of original presentations, including an early introduction of pseudometric spaces to motivate general topologies, an innovative introduction to the Lebesgue integral, and a discussion on the use of the Newton integral. It is thus a valuable book to inform and stimulate both undergraduate and graduate students.
Classic analysis of the foundations of statistics and development of personal probability, one of the greatest controversies in modern statistical thought. Revised edition. Calculus, probability, statistics, and Boolean algebra are recommended.
This book deals with the relevant mathematical aspects related to the kinetic equations for moderately dense gases with particular attention to the Enskog equation.
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