How to Think About Analysis

Author: Lara Alcock
Publisher: OUP Oxford
ISBN: 0191035378
Category : Mathematics
Languages : en
Pages : 272

Book Description
Analysis (sometimes called Real Analysis or Advanced Calculus) is a core subject in most undergraduate mathematics degrees. It is elegant, clever and rewarding to learn, but it is hard. Even the best students find it challenging, and those who are unprepared often find it incomprehensible at first. This book aims to ensure that no student need be unprepared. It is not like other Analysis books. It is not a textbook containing standard content. Rather, it is designed to be read before arriving at university and/or before starting an Analysis course, or as a companion text once a course is begun. It provides a friendly and readable introduction to the subject by building on the student's existing understanding of six key topics: sequences, series, continuity, differentiability, integrability and the real numbers. It explains how mathematicians develop and use sophisticated formal versions of these ideas, and provides a detailed introduction to the central definitions, theorems and proofs, pointing out typical areas of difficulty and confusion and explaining how to overcome these. The book also provides study advice focused on the skills that students need if they are to build on this introduction and learn successfully in their own Analysis courses: it explains how to understand definitions, theorems and proofs by relating them to examples and diagrams, how to think productively about proofs, and how theories are taught in lectures and books on advanced mathematics. It also offers practical guidance on strategies for effective study planning. The advice throughout is research based and is presented in an engaging style that will be accessible to students who are new to advanced abstract mathematics.

Intelligence Analysis

Author: Wayne Michael Hall
Publisher: Bloomsbury Publishing USA
ISBN: 0313382662
Category : Political Science
Languages : en
Pages : 458

Book Description
This book offers a vast conceptual and theoretical exploration of the ways intelligence analysis must change in order to succeed against today's most dangerous combatants and most complex irregular theatres of conflict. Intelligence Analysis: How to Think in Complex Environments fills a void in the existing literature on contemporary warfare by examining the theoretical and conceptual foundations of effective modern intelligence analysis—the type of analysis needed to support military operations in modern, complex operational environments. This volume is an expert guide for rethinking intelligence analysis and understanding the true nature of the operational environment, adversaries, and most importantly, the populace. Intelligence Analysis proposes substantive improvements in the way the U.S. national security system interprets intelligence, drawing on the groundbreaking work of theorists ranging from Carl von Clauswitz and Sun Tzu to M. Mitchell Waldrop, General David Petraeus, Richards Heuer, Jr., Orson Scott Card, and others. The new ideas presented here will help the nation to amass a formidable, cumulative intelligence power, with distinct advantages over any and all adversaries of the future regardless of the level of war or type of operational environment.

Think Stats

Author: Allen B. Downey
Publisher: "O'Reilly Media, Inc."
ISBN: 1491907363
Category : Computers
Languages : en
Pages : 284

Book Description
If you know how to program, you have the skills to turn data into knowledge, using tools of probability and statistics. This concise introduction shows you how to perform statistical analysis computationally, rather than mathematically, with programs written in Python. By working with a single case study throughout this thoroughly revised book, you’ll learn the entire process of exploratory data analysis—from collecting data and generating statistics to identifying patterns and testing hypotheses. You’ll explore distributions, rules of probability, visualization, and many other tools and concepts. New chapters on regression, time series analysis, survival analysis, and analytic methods will enrich your discoveries. Develop an understanding of probability and statistics by writing and testing code Run experiments to test statistical behavior, such as generating samples from several distributions Use simulations to understand concepts that are hard to grasp mathematically Import data from most sources with Python, rather than rely on data that’s cleaned and formatted for statistics tools Use statistical inference to answer questions about real-world data

Thinking Clearly with Data

Author: Ethan Bueno de Mesquita
Publisher: Princeton University Press
ISBN: 0691215014
Category : Social Science
Languages : en
Pages : 400

Book Description
An engaging introduction to data science that emphasizes critical thinking over statistical techniques An introduction to data science or statistics shouldn’t involve proving complex theorems or memorizing obscure terms and formulas, but that is exactly what most introductory quantitative textbooks emphasize. In contrast, Thinking Clearly with Data focuses, first and foremost, on critical thinking and conceptual understanding in order to teach students how to be better consumers and analysts of the kinds of quantitative information and arguments that they will encounter throughout their lives. Among much else, the book teaches how to assess whether an observed relationship in data reflects a genuine relationship in the world and, if so, whether it is causal; how to make the most informative comparisons for answering questions; what questions to ask others who are making arguments using quantitative evidence; which statistics are particularly informative or misleading; how quantitative evidence should and shouldn’t influence decision-making; and how to make better decisions by using moral values as well as data. Filled with real-world examples, the book shows how its thinking tools apply to problems in a wide variety of subjects, including elections, civil conflict, crime, terrorism, financial crises, health care, sports, music, and space travel. Above all else, Thinking Clearly with Data demonstrates why, despite the many benefits of our data-driven age, data can never be a substitute for thinking. An ideal textbook for introductory quantitative methods courses in data science, statistics, political science, economics, psychology, sociology, public policy, and other fields Introduces the basic toolkit of data analysis—including sampling, hypothesis testing, Bayesian inference, regression, experiments, instrumental variables, differences in differences, and regression discontinuity Uses real-world examples and data from a wide variety of subjects Includes practice questions and data exercises

Why Nations Fail

Author: Daron Acemoglu
Publisher: Crown Currency
ISBN: 0307719227
Category : Business & Economics
Languages : en
Pages : 546

Book Description
NEW YORK TIMES AND WALL STREET JOURNAL BESTSELLER • From two winners of the 2024 Nobel Prize in Economic Sciences, “who have demonstrated the importance of societal institutions for a country’s prosperity” “A wildly ambitious work that hopscotches through history and around the world to answer the very big question of why some countries get rich and others don’t.”—The New York Times FINALIST: Financial Times and Goldman Sachs Business Book of the Year Award • ONE OF THE BEST BOOKS OF THE YEAR: The Washington Post, Financial Times, The Economist, BusinessWeek, Bloomberg, The Christian Science Monitor, The Plain Dealer Why are some nations rich and others poor, divided by wealth and poverty, health and sickness, food and famine? Is it culture, the weather, or geography that determines prosperity or poverty? As Why Nations Fail shows, none of these factors is either definitive or destiny. Drawing on fifteen years of original research, Daron Acemoglu and James Robinson conclusively show that it is our man-made political and economic institutions that underlie economic success (or the lack of it). Korea, to take just one example, is a remarkably homogenous nation, yet the people of North Korea are among the poorest on earth while their brothers and sisters in South Korea are among the richest. The differences between the Koreas is due to the politics that created those two different institutional trajectories. Acemoglu and Robinson marshal extraordinary historical evidence from the Roman Empire, the Mayan city-states, the Soviet Union, the United States, and Africa to build a new theory of political economy with great relevance for the big questions of today, among them: • Will China’s economy continue to grow at such a high speed and ultimately overwhelm the West? • Are America’s best days behind it? Are we creating a vicious cycle that enriches and empowers a small minority? “This book will change the way people think about the wealth and poverty of nations . . . as ambitious as Jared Diamond’s Guns, Germs, and Steel.”—BusinessWeek

Real Mathematical Analysis

Author: Charles Chapman Pugh
Publisher: Springer Science & Business Media
ISBN: 0387216847
Category : Mathematics
Languages : en
Pages : 445

Book Description
Was plane geometry your favourite math course in high school? Did you like proving theorems? Are you sick of memorising integrals? If so, real analysis could be your cup of tea. In contrast to calculus and elementary algebra, it involves neither formula manipulation nor applications to other fields of science. None. It is Pure Mathematics, and it is sure to appeal to the budding pure mathematician. In this new introduction to undergraduate real analysis the author takes a different approach from past studies of the subject, by stressing the importance of pictures in mathematics and hard problems. The exposition is informal and relaxed, with many helpful asides, examples and occasional comments from mathematicians like Dieudonne, Littlewood and Osserman. The author has taught the subject many times over the last 35 years at Berkeley and this book is based on the honours version of this course. The book contains an excellent selection of more than 500 exercises.

Handbook of Language Analysis in Psychology

Author: Morteza Dehghani
Publisher: Guilford Publications
ISBN: 1462548431
Category : Social Science
Languages : en
Pages : 650

Book Description
Recent years have seen an explosion of interest in the use of computerized text analysis methods to address basic psychological questions. This comprehensive handbook brings together leading language analysis scholars to present foundational concepts and methods for investigating human thought, feeling, and behavior using language. Contributors work toward integrating psychological science and theory with natural language processing (NLP) and machine learning. Ethical issues in working with natural language data sets are discussed in depth. The volume showcases NLP-driven techniques and applications in areas including interpersonal relationships, personality, morality, deception, social biases, political psychology, psychopathology, and public health.

Introduction to Real Analysis

Author: William F. Trench
Publisher: Prentice Hall
ISBN: 9780130457868
Category : Applied mathematics
Languages : en
Pages : 0

Book Description
Using an extremely clear and informal approach, this book introduces readers to a rigorous understanding of mathematical analysis and presents challenging math concepts as clearly as possible. The real number system. Differential calculus of functions of one variable. Riemann integral functions of one variable. Integral calculus of real-valued functions. Metric Spaces. For those who want to gain an understanding of mathematical analysis and challenging mathematical concepts.

Think Like Tiger

Author: John Andrisani
Publisher: Penguin
ISBN: 9780399528606
Category : Sports & Recreation
Languages : en
Pages : 180

Book Description
It may be true that no athlete is bigger than the game, but one thing is certain: Tiger Woods is golf. From dominating the junior ranks in his boyhood, to becoming the first player in history to hold four major championship trophies at once—the Masters, U.S. Open, British Open, and PGA—it has been his mental game that fuels his fire. For the first time ever, John Andrisani explores the mind and its expansive application to golf, using Tiger Woods as the ultimate role model. Think Like Tiger shows how the champion’s techniques can be applied to anyone’s game. Learn how to: • Use the power of concentration to let nothing disturb you • Meditate to alleviate mental stress and relax muscles • Use your imagination when planning shots • Practice shots that will stimulate your mind • Develop your own system for inducing self-confidence “I’m honored to say that I was one of the official members of ‘Team Tiger’. This latest book of Andrisani’s contains a great deal of insightful information about the mental game of Tiger Woods…You will learn to make the mental side of golf a priority. You will also learn how to play to your potential, by applying the thinking process to your setup, swing, and shot-making game.” —from the foreword by John Anselmo, former coach of Tiger Woods This book contains an independent study and analysis by John Andrisani, former senior editor of instruction at Golf Magazine; he has not consulted with or sought the participation of Tiger Woods in its preparation.

How Does Analysis Cure?

Author: Heinz Kohut
Publisher: University of Chicago Press
ISBN: 022600614X
Category : Psychology
Languages : en
Pages : 255

Book Description
The Austro-American psychoanalyst Heinz Kohut was one of the foremost leaders in his field and developed the school of self-psychology, which sets aside the Freudian explanations for behavior and looks instead at self/object relationships and empathy in order to shed light on human behavior. In How Does Analysis Cure? Kohut presents the theoretical framework for self-psychology, and carefully lays out how the self develops over the course of time. Kohut also specifically defines healthy and unhealthy cases of Oedipal complexes and narcissism, while investigating the nature of analysis itself as treatment for pathologies. This in-depth examination of “the talking cure” explores the lesser studied phenomena of psychoanalysis, including when it is beneficial for analyses to be left unfinished, and the changing definition of “normal.” An important work for working psychoanalysts, this book is important not only for psychologists, but also for anyone interested in the complex inner workings of the human psyche.