But there is one other motive which is as strong as any of these — the search for beauty. Mathematics is an art, and as such affords the pleasures which all the arts afford." In this erudite, entertaining college-level text, Morris Kline, Professor Emeritus of Mathematics at New York University, provides the liberal arts student with a detailed treatment of mathematics in a cultural and historical context. The book can also act as a self-study vehicle for advanced high school students and laymen. Professor Kline begins with an overview, tracing the development of mathematics to the ancient Greeks, and following its evolution through the Middle Ages and the Renaissance to the present day. Subsequent chapters focus on specific subject areas, such as "Logic and Mathematics," "Number: The Fundamental Concept," "Parametric Equations and Curvilinear Motion," "The Differential Calculus," and "The Theory of Probability." Each of these sections offers a step-by-step explanation of concepts and then tests the student's understanding with exercises and problems. At the same time, these concepts are linked to pure and applied science, engineering, philosophy, the social sciences or even the arts.In one section, Professor Kline discusses non-Euclidean geometry, ranking it with evolution as one of the "two concepts which have most profoundly revolutionized our intellectual development since the nineteenth century." His lucid treatment of this difficult subject starts in the 1800s with the pioneering work of Gauss, Lobachevsky, Bolyai and Riemann, and moves forward to the theory of relativity, explaining the mathematical, scientific and philosophical aspects of this pivotal breakthrough. Mathematics for the Nonmathematician exemplifies Morris Kline's rare ability to simplify complex subjects for the nonspecialist.

    Season 1, comprising 20 essays totaling approximately 30,000 words, is written by Venkatesh Rao and illustrated by Grace Witherell. This inaugural season is an in-depth exploration of Marc Andreessen’s observation that “software is eating the world.”

    Albert-László Barabási, the nation’s foremost expert in the new science of networks and author of Bursts, takes us on an intellectual adventure to prove that social networks, corporations, and living organisms are more similar than previously thought. Grasping a full understanding of network science will someday allow us to design blue-chip businesses, stop the outbreak of deadly diseases, and influence the exchange of ideas and information. Just as James Gleick and the Erdos–Rényi model brought the discovery of chaos theory to the general public, Linked tells the story of the true science of the future and of experiments in statistical mechanics on the internet, all vital parts of what would eventually be called the Barabási–Albert model.

    Why do living things and physical phenomena take the forms they do? Analyzing the mathematical and physical aspects of biological processes, this historic work, first published in 1917, has become renowned as well for the poetry of is descriptions.

    I also love the sense of humor. It's very good at disarming the fear. And it's gorgeous. I'll be recommending this book highly." --Tom Igoe, author of Physical Computing and Making Things TalkWant to learn the fundamentals of electronics in a fun, hands-on way? With Make: Electronics, you'll start working on real projects as soon as you crack open the book. Explore all of the key components and essential principles through a series of fascinating experiments. You'll build the circuits first, then learn the theory behind them!Build working devices, from simple to complex You'll start with the basics and then move on to more complicated projects. Go from switching circuits to integrated circuits, and from simple alarms to programmable microcontrollers. Step-by-step instructions and more than 500 full-color photographs and illustrations will help you use -- and understand -- electronics concepts and techniques.Discover by breaking things: experiment with components and learn from failureSet up a tricked-out project space: make a work area at home, equipped with the tools and parts you'll needLearn about key electronic components and their functions within a circuitCreate an intrusion alarm, holiday lights, wearable electronic jewelry, audio processors, a reflex tester, and a combination lockBuild an autonomous robot cart that can sense its environment and avoid obstaclesGet clear, easy-to-understand explanations of what you're doing and why

    Essentially, you make an initial guess, and then get more data to improve it. Bayes Theorem, or Bayes Rule, has a ton of real world applications, from estimating your risk of a heart attack to making recommendations on Netflix But It Isn't That Complicated This book is a short introduction to Bayes Theorem. It is only 15 pages long, and is intended to show you how Bayes Theorem works as quickly as possible. The examples are intentionally kept simple to focus solely on Bayes Theorem without requiring that the reader know complicated probability distributions. If you want to learn the basics of Bayes Theorem as quickly as possible, with some easy to duplicate examples, this is a good book for you.

    Gain a deep understanding of the “what, why, how, when, how much” questions of your life. Become a Systems Thinker and discover how to approach your life from a completely new perspective. What is systems thinking? Put it simply, thinking about how things interact with one another. Why should this matter to you? Because you are a system. You are a part of smaller and larger systems – your community, your country, your species. Understanding your role within these systems and how these systems affect, hinder, or aid the fulfillment of your life can lead you to better answers about yourself and the world. Information is the most precious asset these days. Evaluating that information correctly is almost priceless. Systems thinkers are some of the bests in collecting and assessing information, as well as creating impactful solutions in any context. The Systems Thinker will help you to implement systems thinking at your workplace, human relations, and everyday thinking habits. Boost your observation and analytical skills to find the real triggers and influencing forces behind contemporary politics, economics, health, and education changes. Systems thinking clears your vision by teaching you not only to find the differences between the elements but also the similarities. This bi-directional analyzing ability will give you a more complex worldview, deeper understanding of problems, and thus better solutions. The car stopped because its tank is empty – so it needs gas. Easy problem, easy solution, right? But could you explain just as easily why did the price of gas raise with 5% the past month? After becoming a systems thinker, you’ll be able to answer that question just as easily. Change your thoughts, change your results. •What are the main elements, questions and methods of thinking in systems? •The most widely used systems archetypes, maps, models, and analytical methods. •Learn to identify and provide solutions even the most complex system problems. •Deepen your understanding about human motivation with systems thinking. The past fifty years brought so many changes in our lives. The world has become more interconnected than ever. Old rules can’t explain the new world anymore. But systems thinking can. Embrace systems thinking and become a master of analytical, critical, and creative thinking.

    But developing these systems brings its own set of headaches. With lots of examples and practical advice, this book takes a holistic view of the topics that system architects and administrators must consider when building, managing, and evolving microservice architectures.Microservice technologies are moving quickly. Author Sam Newman provides you with a firm grounding in the concepts while diving into current solutions for modeling, integrating, testing, deploying, and monitoring your own autonomous services. You'll follow a fictional company throughout the book to learn how building a microservice architecture affects a single domain.Discover how microservices allow you to align your system design with your organization's goalsLearn options for integrating a service with the rest of your systemTake an incremental approach when splitting monolithic codebasesDeploy individual microservices through continuous integrationExamine the complexities of testing and monitoring distributed servicesManage security with user-to-service and service-to-service modelsUnderstand the challenges of scaling microservice architectures

    Planned by one of the most renowned Byzantinists and Medievalists of the day, John B. Bury, it became the de facto standard by which all comprehensive period histories would be measured. Its impact on the field of medieval scholarship is every bit as great as Gibbon’s “Decline and Fall of the Roman Empire”.Volume One – The Christian Roman Empire and the Foundation of the Teutonic Kingdoms begins with the accession of Constantine to the Imperium and ends roughly with reign of Justinian in the East. It covers the migration of Germanic tribes into Roman territories. Significant attention is given the ecumenical church councils of the 4th Century, with particular emphasis on the Arian controversies.Volume Two – The Rise of the Saracens and the Foundation of the Western Empire covers the time period from roughly 500 CE to 814 CE. Beginning with Justinian, it also looks at the Frankish Merovingian dynasty, the Lombard Kingdom in Italy, the Restoration of the Imperium in Italy, and ends with the transition of power from the Merovingians to the Carolingians through Charlemagne’s reign. Chapters covering England and English institution and the conversion of the Celts. Finally, attention is given to the birth and spread of Islam and the growth of the Islamic Caliphate.Volume Three – Germany and the Western Empire covers the period from roughly 814 CE through the end of the first millennium. Beginning with the reign of Louis the Pious, it traces the decline of the Carolingian Empire and the foundation of the Capetian Dynasty. Attention is paid to the Holy Roman Empire in Germany through Henry III. The impact of the Norse Vikings on the political landscape is examined as is the development of the Anglo-Saxon kingdom of England through the death of Edward the Confessor. Throughout the volume development of feudalism as a primary labor, land-owning, and social way of life is highlighted. Finally, the continued growth of the Western Caliphate is looked at.Volume Four – The Eastern Roman Empire focuses primarily on the Byzantine East from roughly 700 CE through the end of the Empire in 1483. The different dynasties (Isaurian, Phrygian, and Macedonian) receive their own chapters, and in-depth attention is paid to the struggle with the emerging Islamic Caliphate. The religious and political relationship with the West is considered and significant attention is paid to the Comneni and Fourth Crusade.Volume Five – The Contest of Empire and Papacy is concerned primarily with the century and a half from 1050 CE to 1200 CE. It looks at the surging political power of the Church and the corresponding growth of nations of Western Europe. The Holy Roman Empire and the Norman Invasion of England, the establishment of the Plantagenet Dynasty in Norman Britain, and the emergence of Monasticism and Scholasticism in the period receive attention.Volumes 6-8 were published after 1923 and are therefore not in the public domain. Plantagenet Publishing will not be able to make them available in this format.

    From Stephen Levy—the author who made "hackers" a household word—comes this account of a revolution that is already affecting every citizen in the twenty-first century. Crypto tells the inside story of how a group of "crypto rebels"—nerds and visionaries turned freedom fighters—teamed up with corporate interests to beat Big Brother and ensure our privacy on the Internet. Levy's history of one of the most controversial and important topics of the digital age reads like the best futuristic fiction.

    In "Musimathics," Loy teaches us the tune, providing a friendly and spirited tour of the mathematics of music -- a commonsense, self-contained introduction for the nonspecialist reader. It is designed for musicians who find their art increasingly mediated by technology, and for anyone who is interested in the intersection of art and science.In Volume 1, Loy presents the materials of music (notes, intervals, and scales); the physical properties of music (frequency, amplitude, duration, and timbre); the perception of music and sound (how we hear); and music composition. Calling himself "a composer seduced into mathematics," Loy provides answers to foundational questions about the mathematics of music accessibly yet rigorously. The examples given are all practical problems in music and audio.Additional material can be found at http: //www.musimathics.com.

    This concise introduction shows you how to perform statistical analysis computationally, rather than mathematically, with programs written in Python.You'll work with a case study throughout the book to help you learn the entire data analysis process—from collecting data and generating statistics to identifying patterns and testing hypotheses. Along the way, you'll become familiar with distributions, the rules of probability, visualization, and many other tools and concepts.Develop your understanding of probability and statistics by writing and testing codeRun experiments to test statistical behavior, such as generating samples from several distributionsUse simulations to understand concepts that are hard to grasp mathematicallyLearn topics not usually covered in an introductory course, such as Bayesian estimationImport data from almost any source using Python, rather than be limited to data that has been cleaned and formatted for statistics toolsUse statistical inference to answer questions about real-world data

    Widely praised and much-discussed, this classic book explores how cooperation can emerge in a world of self-seeking egoists—whether superpowers, businesses, or individuals—when there is no central authority to police their actions. The problem of cooperation is central to many different fields. Robert Axelrod recounts the famous computer tournaments in which the “cooperative” program Tit for Tat recorded its stunning victories, explains its application to a broad spectrum of subjects, and suggests how readers can both apply cooperative principles to their own lives and teach cooperative principles to others.

    New emphasis has been given to complexity, networks, and patterns of organisation, leading to a novel kind of 'systemic' thinking. This volume integrates the ideas, models, and theories underlying the systems view of life into a single coherent framework. Taking a broad sweep through history and across scientific disciplines, the authors examine the appearance of key concepts such as autopoiesis, dissipative structures, social networks, and a systemic understanding of evolution. The implications of the systems view of life for health care, management, and our global ecological and economic crises are also discussed. Written primarily for undergraduates, it is also essential reading for graduate students and researchers interested in understanding the new systemic conception of life and its implications for a broad range of professions - from economics and politics to medicine, psychology and law.

    The analytic material is accompanied by many applications, examples, and exercises. The theory of noncooperative games studies the behavior of agents in any situation where each agent's optimal choice may depend on a forecast of the opponents' choices. "Noncooperative" refers to choices that are based on the participant's perceived selfinterest. Although game theory has been applied to many fields, Fudenberg and Tirole focus on the kinds of game theory that have been most useful in the study of economic problems. They also include some applications to political science. The fourteen chapters are grouped in parts that cover static games of complete information, dynamic games of complete information, static games of incomplete information, dynamic games of incomplete information, and advanced topics.--mitpress.mit.edu