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El azaroso arte del engaño: Historias del mundo de la casualidad y la estadística
by Gerardo Herrera CorralEl azar, el error y el engaño están presentes en todos los ámbitos de nuestras vidas: el trabajo, las relaciones personales, la política, la economía. /strong> El error, incluso, es parte esencial del material biológico que nos forma. Los seres vivos llegamos a ser lo que somos por el cambio continuo de la estructura genómica: el código grabado en nuestros genes se equivocó una y otra vez para que, alfin, una de las múltiples configuraciones acabara prevaleciendo. En otras palabras, los seres humanos somos producto del azar y el error. ¿Pero dónde está la frontera entre azar y error? Y más aún: ¿cuál es la diferencia entre error y engaño? Los errores pueden ser una fuente inmejorable de aprendizaje , si sabemos detectarlos. Por otro lado, se puede engañar sin mentir abiertamente, es decir, sin dar información falsa. Esto ocurre con frecuencia, por ejemplo, en la estadística, cuando se oculta información, se dan datos parciales o se ofrecen interpretaciones sesgadas. Por ello, nos dice Gerardo Herrera Corral, el conocimiento estadístico debería formar parte de la educación básica de toda persona. Sí, la estadística puede utilizarse para analizar la realidad, para explicar y comunicar mejor datos complejos, pero también puede emplearse para deformar los hechos, manipular y engañar al público. Este libro reúne historias en las que la estadística es la clave: ¿Es real el cambio climático? ¿Viven más tiempo los fumadores? ¿Hay vida en otros planetas? ¿Se acerca el fin de la cultura del automóvil? Al analizar estos casos, el autor nos ayudará a definir conmayor claridad las barreras entre verdad y mentira, azar y error.
Azimuthal Walsh Filters: A Tool to Produce 2D and 3D Light Structures (Progress in Optical Science and Photonics #10)
by Indrani Bhattacharya Lakshminarayan HazraThis book explores the possibility of using azimuthal Walsh filters as an effective tool for manipulating far-field diffraction characteristics near the focal plane of rotationally symmetric imaging systems. It discusses the generation and synthesis of azimuthal Walsh filters, and explores the inherent self-similarity presented in various orders of these filters, classifying them into self-similar groups and sub-groups. Further, it demonstrates that azimuthal Walsh filters possess a unique rotational self-similarity exhibited among adjacent orders. Serving as an atlas of diffraction phenomena with pupil functions represented by azimuthal Walsh filters of different orders, this book describes how orthogonality and self-similarity of these filters could be harnessed to sculpture 2D and 3D light distributions near the focus.
A = B
by Marko Petkovsek Herbert S Wilf Doron ZeilbergerThis book is of interest to mathematicians and computer scientists working in finite mathematics and combinatorics. It presents a breakthrough method for analyzing complex summations. Beautifully written, the book contains practical applications as well as conceptual developments that will have applications in other areas of mathematics.From the ta
B-Model Gromov-Witten Theory (Trends in Mathematics)
by Emily Clader Yongbin RuanThis book collects various perspectives, contributed by both mathematicians and physicists, on the B-model and its role in mirror symmetry. Mirror symmetry is an active topic of research in both the mathematics and physics communities, but among mathematicians, the “A-model” half of the story remains much better-understood than the B-model. This book aims to address that imbalance. It begins with an overview of several methods by which mirrors have been constructed, and from there, gives a thorough account of the “BCOV” B-model theory from a physical perspective; this includes the appearance of such phenomena as the holomorphic anomaly equation and connections to number theory via modularity. Following a mathematical exposition of the subject of quantization, the remainder of the book is devoted to the B-model from a mathematician’s point-of-view, including such topics as polyvector fields and primitive forms, Givental’s ancestor potential, and integrable systems.
Baby 123
by Deborah DonenfeldA companion to BABY ABC, this concept board book features black-and-white photographs of babies interacting with objects that correspond to the featured number, 1 through 10. The object is in color and coordinates with the number featured, making the connection easy and understandable for non-readers. Once again, the diverse cast of babies and easily-countable objects make this book the perfect introduction to numbers.
Back-of-the-Envelope Physics
by Clifford SwartzThe author is the winner of the 2007 Melba Newell Phillips Award given by the American Association of Physics Teachers. Previously, he was awarded their Oersted Medal.Physicists use "back-of-the-envelope" estimates to check whether or not an idea could possibly be right. In many cases, the approximate solution is all that is needed. This compilation of 101 examples of back-of-the-envelope calculations celebrates a quantitative approach to solving physics problems. Drawing on a lifetime of physics research and nearly three decades as the editor of The Physics Teacher, Clifford Swartz provides simple, approximate solutions to physics problems that span a broad range of topics. What note do you get when you blow across the top of a Coke bottle? Could you lose weight on a diet of ice cubes? How can a fakir lie on a bed of nails without getting hurt? Does draining water in the northern hemisphere really swirl in a different direction than its counterpart below the equator? In each case, only a few lines of arithmetic and a few natural constants solve a problem to within a few percent. Covering such subjects as astronomy, magnetism, optics, sound, heat, mechanics, waves, and electricity, the book provides a rich source of material for teachers and anyone interested in the physics of everyday life.
Back to Statistics: Tail-Aware Control Performance Assessment
by null Paweł D. DomańskiDue to the popularity of artificial intelligence today, scientists and practitioners tend to ignore the achievements of statistical methods. This book aims to re-establish statistical methods, especially for control practitioners, for whom the task of assessing control performance is important.The author introduces the elements of statistical theory, including basic statistical concepts and the description of distributions. Extending the most common observations toward the tails and extreme statistics, he demonstrates the robust statistics approach that deals with the tails, followed by the description of methods that can visualize and bring forward statistical properties as long as the derivative issues. By addressing statistical issues of sustainability, extreme statistics, non-Gaussianity, L-moments, tail index and index ratio diagrams, the author aims to change traditional concepts and broaden the scope of available methods. Simulation case studies and real industrial cases are also presented. The book will be of interest to site control engineers and scholars assessing control systems and process performance.
Backdoor Attacks against Learning-Based Algorithms (Wireless Networks)
by Haojin Zhu Shaofeng Li Xuemin (Sherman) Shen Wen WuThis book introduces a new type of data poisoning attack, dubbed, backdoor attack. In backdoor attacks, an attacker can train the model with poisoned data to obtain a model that performs well on a normal input but behaves wrongly with crafted triggers. Backdoor attacks can occur in many scenarios where the training process is not entirely controlled, such as using third-party datasets, third-party platforms for training, or directly calling models provided by third parties. Due to the enormous threat that backdoor attacks pose to model supply chain security, they have received widespread attention from academia and industry. This book focuses on exploiting backdoor attacks in the three types of DNN applications, which are image classification, natural language processing, and federated learning.Based on the observation that DNN models are vulnerable to small perturbations, this book demonstrates that steganography and regularization can be adopted to enhance the invisibility of backdoor triggers. Based on image similarity measurement, this book presents two metrics to quantitatively measure the invisibility of backdoor triggers. The invisible trigger design scheme introduced in this book achieves a balance between the invisibility and the effectiveness of backdoor attacks. In the natural language processing domain, it is difficult to design and insert a general backdoor in a manner imperceptible to humans. Any corruption to the textual data (e.g., misspelled words or randomly inserted trigger words/sentences) must retain context-awareness and readability to human inspectors. This book introduces two novel hidden backdoor attacks, targeting three major natural language processing tasks, including toxic comment detection, neural machine translation, and question answering, depending on whether the targeted NLP platform accepts raw Unicode characters.The emerged distributed training framework, i.e., federated learning, has advantages in preserving users' privacy. It has been widely used in electronic medical applications, however, it also faced threats derived from backdoor attacks. This book presents a novel backdoor detection framework in FL-based e-Health systems. We hope this book can provide insightful lights on understanding the backdoor attacks in different types of learning-based algorithms, including computer vision, natural language processing, and federated learning. The systematic principle in this book also offers valuable guidance on the defense of backdoor attacks against future learning-based algorithms.
Background Modeling and Foreground Detection for Video Surveillance
by Thierry Bouwmans Fatih Porikli Benjamin Höferlin Antoine V AcavantBackground modeling and foreground detection are important steps in video processing used to detect robustly moving objects in challenging environments. This requires effective methods for dealing with dynamic backgrounds and illumination changes as well as algorithms that must meet real-time and low memory requirements.Incorporating both establish
Backseat Driver: The Role of Data in Great Car Safety Debates (ASA-CRC Series on Statistical Reasoning in Science and Society)
by Norma Faris HubeleBuying the safest car for your family shouldn’t be up for debate. Yet for decades, car safety advocates, manufacturers, and lawmakers in the United States have clashed over whether to make automobiles safer. All sides armed themselves with data in the hopes of winning the great car safety debates. In this way, crash statistics and the analysts who studied them made history. But data were always in the backseat, merely supporting different points of view. That is, until now. With car safety, it’s the value we place on every human life that counts. Automobile safety expert Dr. Norma Faris Hubele delivers a lively discussion of the role data play in protecting you and your family on the road. You’ll gain a greater appreciation for how: A World War I pilot’s near-death experience birthed the U.S. car safety movement Data from real car crashes helped create the first vehicle safety standards A shift toward fuel-efficient cars affected fatality risk in the 1970s–1980s versus now Vehicle size has changed, and the problems that creates for you and others sharing the road Car safety rating systems, even when limited, empower consumers and motivate manufacturers Federal regulators decide whether to issue a safety recall on your vehicle Data’s role is evolving with the advent of driver-assist and self-driving technologies
Backward Stochastic Differential Equations: From Linear to Fully Nonlinear Theory (Probability Theory and Stochastic Modelling #86)
by Jianfeng ZhangThis book provides a systematic and accessible approach to stochastic differential equations, backward stochastic differential equations, and their connection with partial differential equations, as well as the recent development of the fully nonlinear theory, including nonlinear expectation, second order backward stochastic differential equations, and path dependent partial differential equations. Their main applications and numerical algorithms, as well as many exercises, are included. The book focuses on ideas and clarity, with most results having been solved from scratch and most theories being motivated from applications. It can be considered a starting point for junior researchers in the field, and can serve as a textbook for a two-semester graduate course in probability theory and stochastic analysis. It is also accessible for graduate students majoring in financial engineering.
Backward Stochastic Differential Equations with Jumps and Their Actuarial and Financial Applications: BSDEs with Jumps (EAA Series)
by Łukasz DelongBackward stochastic differential equations with jumps can be used to solve problems in both finance and insurance. Part I of this book presents the theory of BSDEs with Lipschitz generators driven by a Brownian motion and a compensated random measure, with an emphasis on those generated by step processes and Lévy processes. It discusses key results and techniques (including numerical algorithms) for BSDEs with jumps and studies filtration-consistent nonlinear expectations and g-expectations. Part I also focuses on the mathematical tools and proofs which are crucial for understanding the theory. Part II investigates actuarial and financial applications of BSDEs with jumps. It considers a general financial and insurance model and deals with pricing and hedging of insurance equity-linked claims and asset-liability management problems. It additionally investigates perfect hedging, superhedging, quadratic optimization, utility maximization, indifference pricing, ambiguity risk minimization, no-good-deal pricing and dynamic risk measures. Part III presents some other useful classes of BSDEs and their applications. This book will make BSDEs more accessible to those who are interested in applying these equations to actuarial and financial problems. It will be beneficial to students and researchers in mathematical finance, risk measures, portfolio optimization as well as actuarial practitioners.
Bad at Math?: Dismantling Harmful Beliefs That Hinder Equitable Mathematics Education (Corwin Mathematics Series)
by Lidia GonzalezMath really is for everyone—so let’s prove it. You’ve heard it from kids, from friends, and from celebrities: "I’m bad at math." It’s a line that society tends to accept without examination—after all, some people just aren’t "math people," right? Wrong. As we do with other essential skills, we need to expose the stereotypes, challenge the negative mindsets, and finally confront the systemic opportunity gaps in math education, and replace them with a new vision for what math is, who it’s for, and who can excel at it. In this book you’ll find Research on teacher and student mindsets and their effect on student achievement Audience-specific and differentiated tools, reflection questions, and suggested actions for educators at all levels of the system Examples from popular media, as well as personal stories and anecdotes Quotes, data-driven figures, and suggestions for deeper learning on all aspects of a positive and equitable vision of math education Both social commentary and a toolkit of solutions, this bold new book directly challenges the constructs that have historically dictated our perceptions of what makes someone a "math person". Only by dismantling those misplaced assumptions can we reform math education so it works for everyone. Because in truth, we are all math people.
Bad at Math?: Dismantling Harmful Beliefs That Hinder Equitable Mathematics Education (Corwin Mathematics Series)
by Lidia GonzalezMath really is for everyone—so let’s prove it. You’ve heard it from kids, from friends, and from celebrities: "I’m bad at math." It’s a line that society tends to accept without examination—after all, some people just aren’t "math people," right? Wrong. As we do with other essential skills, we need to expose the stereotypes, challenge the negative mindsets, and finally confront the systemic opportunity gaps in math education, and replace them with a new vision for what math is, who it’s for, and who can excel at it. In this book you’ll find Research on teacher and student mindsets and their effect on student achievement Audience-specific and differentiated tools, reflection questions, and suggested actions for educators at all levels of the system Examples from popular media, as well as personal stories and anecdotes Quotes, data-driven figures, and suggestions for deeper learning on all aspects of a positive and equitable vision of math education Both social commentary and a toolkit of solutions, this bold new book directly challenges the constructs that have historically dictated our perceptions of what makes someone a "math person". Only by dismantling those misplaced assumptions can we reform math education so it works for everyone. Because in truth, we are all math people.
Bad Breaks in Real GDP and Employment: Exploring the Persistence of Aggregate Demand Shocks in the United States
by Harrison C. HartmanWhy do policymakers allow economies to settle into a “new normal” after a bad break in the economy rather than try to return the economy to its previous trend? In this book, economist Harrison C. Hartman discusses some of the variables that impact a nation’s ability to recover from negative aggregate demand shocks. Spanning total real GDP, per capita real GDP, and nonfarm payroll employment in the USA, the book emphasizes the role of aggregate demand shocks in causing the US economy to fail to return to trend. The resulting book challenges modern mainstream macroeconomic theories and highlights the complexities of post-recession recovery. The chapters provide econometric evidence both for and against the impact of aggregate demand on real GDP and employment levels in the long run. Hartman studies modern macroeconomic theories related to economic resilience and demand using (a) the velocity of money and the equation of exchange and (b) econometric analysis to dissect modern macroeconomic theories related to economic resilience and demand. The book provides methods to estimate and evaluate trends, and after simple methods for estimating trend and discussing associated results, the book turns attention to model selection, hypothesis testing and further results. This book also offers some possible areas for future work. A thought-provoking exploration of economic recovery or lack thereof, the book covers aggregate demand, employment, real GDP, and economic theories (classical, Keynesian, monetarist, neoclassical, new-Keynesian, and post-Keynesian perspectives). Bad Breaks in Real GDP and Employment is a timely and essential guide for economists navigating the complexities of past, present, and future macroeconomic landscapes. It explains the functionality of aggregate demand in the context of economic recession, offering insight into why some AD shocks feel permanent. This book provides econometric evidence supporting Keynesian and post-Keynesian perspectives on the potential importance of aggregate demand in determining real GDP and employment levels in the long run, particularly in cases when real GDP and employment fail to recover fully after recessions. This book is one of few contemporary works (a) explicitly noting the economic importance of money velocity and (b) focusing on econometric analysis that at least at times supports post-Keynesian perspectives.
Bad Choices: How Algorithms Can Help You Think Smarter and Live Happier
by Ali AlmossawiThe wildly popular author of Bad Arguments returns with a funny, smart introduction to algorithms—those perennially misunderstood, increasingly important problem-solving rules that can save you time and lead to better choices, every day. Why is Facebook so good at predicting what you like? How do you discover new music? What's the best way to sort your laundry?Readers around the world have embraced Ali Almossawi's whimsical illustrations—drawn by his collaborator Alejandro Giraldo—and his funny, clarifying explanations of complex subjects. In fewer than 200 pages, Almossawi demystifies a new topic of increasing relevance to our lives: algorithms. Bad Choices is a book for anyone who's looked at a given task and wondered if there was a better, faster way to get the task done. What's the best way to organize a grocery list? What's the secret to being more productive at work? How can we better express ourselves in 140-characters? Presenting us with alternative methods for tackling twelve different scenarios, Almossawi guides us to better choices that borrow from same systems that underline a computer word processor, a Google search engine, or a Facebook ad. Once you recognize what makes a method faster and more efficient, you'll become a more nimble, creative problem-solver, ready to face new challenges. Bad Choices will open the world of algorithms to all readers making this a perennial go-to for fans of quirky, accessible science books.From the Hardcover edition.
Bad Data: How Governments, Politicians and the Rest of Us Get Misled by Numbers
by Georgina Sturge'Essential reading ... An incisive and urgently needed book' Tim Harford'[An] entertaining introduction to the uses (and misuses) of data ... a penetrating analysis of why statistical literacy matters to our politics and our daily lives' Professor Jonathan Portes Our politicians make vital decisions and declarations every day that rely on official data. But should all statistics be trusted?In BAD DATA, House of Commons Library statistician Georgina Sturge draws back the curtain on how governments of the past and present have been led astray by figures littered with inconsistency, guesswork and uncertainty.Discover how a Hungarian businessman's bright idea caused half a million people to go missing from UK migration statistics. Find out why it's possible for two politicians to disagree over whether poverty has gone up or down, using the same official numbers, and for both to be right at the same time. And hear about how policies like ID cards, super-casinos and stopping ex-convicts from reoffending failed to live up to their promise because they were based on shaky data.With stories that range from the troubling to the empowering to the downright absurd, BAD DATA reveals secrets from the usually closed-off world of policy-making. It also suggests how - once we understand the human story behind the numbers - we can make more informed choices about who to trust, and when.
Bad Data: How Governments, Politicians and the Rest of Us Get Misled by Numbers
by Georgina Sturge'Essential reading ... An incisive and urgently needed book' Tim Harford'[An] entertaining introduction to the uses (and misuses) of data ... a penetrating analysis of why statistical literacy matters to our politics and our daily lives' Professor Jonathan Portes Our politicians make vital decisions and declarations every day that rely on official data. But should all statistics be trusted?In BAD DATA, House of Commons Library statistician Georgina Sturge draws back the curtain on how governments of the past and present have been led astray by figures littered with inconsistency, guesswork and uncertainty.Discover how a Hungarian businessman's bright idea caused half a million people to go missing from UK migration statistics. Find out why it's possible for two politicians to disagree over whether poverty has gone up or down, using the same official numbers, and for both to be right at the same time. And hear about how policies like ID cards, super-casinos and stopping ex-convicts from reoffending failed to live up to their promise because they were based on shaky data.With stories that range from the troubling to the empowering to the downright absurd, BAD DATA reveals secrets from the usually closed-off world of policy-making. It also suggests how - once we understand the human story behind the numbers - we can make more informed choices about who to trust, and when.
Balancing Bears: Comparing Numbers (Count The Critters Ser.)
by Megan AtwoodThis book introduces the child to “< less than”, “> greater than” and “= equal to” signs.
Baltimore Orioles: Where Have You Gone? Cal Ripken Jr., Brooks Robinson, Jim Palmer, and Other Orioles Greats (Where Have You Gone?)
by Jeff SeidelBaltimore Orioles: Where Have You Gone? is a unique look at what a number of former Orioles personalities have gone on to do in life since their playing careers ended. Author Jeff Seidel spoke with a wide-ranging selection of former Baltimore players, from stars like Cal Ripken Jr. and Brooks Robinson to those who had only their “fifteen minutes” of fame, like Dave Criscione and John Stefero. A common thread seems to be how many of the former Orioles stayed in baseball in some form, like Ripken, who started his own minor league team in Aberdeen, Maryland, something that’s clearly close to his heart; or former catcher Andy Etchebarren, a longtime minor league manager and coach.Baltimore Orioles: Where Have You Gone?, first published in 2006 and newly updated through the 2016 season, features men like Mike Flanagan, the Cy Young Award–winning lefty who anchored the Orioles pitching staff in the late ’70s and early ’80s, finally becoming the team’s pitching coach and co–general manager. The book also includes a chapter on Tommy Davis, the team’s first designated hitter, who tells how he came up with a key base hit after nearly missing his at-bat because he was talking on the clubhouse telephone; Doug DeCinces, faced with the cruel task of taking over for Brooks Robinson at third base, talking about the huge pressure he faced and how he truly appreciated playing for the Orioles; and finally the legendary Robinson himself, still a fan favorite over 35 years after retiring, telling how he told the Chicago White Sox thanks, but no thanks, when they asked him about managing. It’s all here; perfect for any Orioles fan!
Banach, Fréchet, Hilbert and Neumann Spaces
by Jacques SimonThis book is the first of a set dedicated to the mathematical tools used in partial differential equations derived from physics. Its focus is on normed or semi-normed vector spaces, including the spaces of Banach, Fréchet and Hilbert, with new developments on Neumann spaces, but also on extractable spaces. The author presents the main properties of these spaces, which are useful for the construction of Lebesgue and Sobolev distributions with real or vector values and for solving partial differential equations. Differential calculus is also extended to semi-normed spaces. Simple methods, semi-norms, sequential properties and others are discussed, making these tools accessible to the greatest number of students – doctoral students, postgraduate students – engineers and researchers without restricting or generalizing the results.
Banach Function Algebras, Arens Regularity, and BSE Norms (CMS/CAIMS Books in Mathematics #12)
by Harold Garth Dales Ali ÜlgerThis book is about semisimple Banach algebras with a focus on those that are commutative. After laying out the necessary background material from functional analysis, geometry of Banach spaces and measure theory, we introduce many specific Banach algebras from operator theory, harmonic analysis, and function theory and study their basic properties. Some of the questions dealt with in the book are: Whether the introduced Banach algebras are BSE-algebras, whether they have BSE norms, whether they have the separating ball property or some variant of it, and whether they are Arens regular. The book contains quite a few new results, as well as new proofs of a good many known results.The book is intended for those who are preparing to work in Banach algebras or who have been doing research in related areas.
Banach Limit and Applications
by Gokulananda Das Sudarsan NandaBanach Limits and Applications provides all the results in the area of Banach limit, its extensions, generalizations and applications to various fields in one go (as far as possible). All the results in this field, after Banach introduced this concept in the year 1932 , are scattered till now. Sublinear functionals generating and dominating Banach Limit, unique Branch Limit (almost convergence), invariant means and invariant limits, absolute and strong almost convergence, applications to ergodicity, law of large number, Fourier series, uniform distribution of sequences, uniform density, core theorems, functional Banach limits are discussed in this book. Discovery of functional analysis such as Hahn-Banach theorem, Banach-Steinhaus Theorem helped the researchers to develop a modern, rich and unified theory of sequence spaces by enveloping classical summability theory via matrix transformation and the topics related to sequence spaces arose from the concept of Banach limit are presented in this book. The unique features of this book are as follows: It contains all the results in this area at one place which are scattered till now. The book is first of its kinds in the sense that there is no other competitive book . The contents of this monograph did not appear in any book form before. The audience of this book are the researchers in this area, the Ph.D. and advanced Masters students. The book is suitable for one or two semester course work for Ph. D. students, M.S. Students of North America and Europe, M. Phil and Masters Students of India.
Banach Space Theory: The Basis for Linear and Nonlinear Analysis (CMS Books in Mathematics)
by Marián Fabian Vicente Montesinos Petr Habala Václav Zizler Petr HájekBanach spaces provide a framework for linear and nonlinear functional analysis, operator theory, abstract analysis, probability, optimization and other branches of mathematics. This book introduces the reader to linear functional analysis and to related parts of infinite-dimensional Banach space theory. Key Features: - Develops classical theory, including weak topologies, locally convex space, Schauder bases and compact operator theory - Covers Radon-Nikodým property, finite-dimensional spaces and local theory on tensor products - Contains sections on uniform homeomorphisms and non-linear theory, Rosenthal's L1 theorem, fixed points, and more - Includes information about further topics and directions of research and some open problems at the end of each chapter - Provides numerous exercises for practice The text is suitable for graduate courses or for independent study. Prerequisites include basic courses in calculus and linear. Researchers in functional analysis will also benefit for this book as it can serve as a reference book.
Banach Spaces of Analytic Functions
by Kenneth HoffmanA classic of pure mathematics, this advanced graduate-level text explores the intersection of functional analysis and analytic function theory. Close in spirit to abstract harmonic analysis, it is confined to Banach spaces of analytic functions in the unit disc.The author devotes the first four chapters to proofs of classical theorems on boundary values and boundary integral representations of analytic functions in the unit disc, including generalizations to Dirichlet algebras. The fifth chapter contains the factorization theory of Hp functions, a discussion of some partial extensions of the factorization, and a brief description of the classical approach to the theorems of the first five chapters. The remainder of the book addresses the structure of various Banach spaces and Banach algebras of analytic functions in the unit disc.Enhanced with 100 challenging exercises, a bibliography, and an index, this text belongs in the libraries of students, professional mathematicians, as well as anyone interested in a rigorous, high-level treatment of this topic.