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A Concept Of Limits
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Book Synopsis A Concept of Limits by : Donald W. Hight
Download or read book A Concept of Limits written by Donald W. Hight and published by Courier Corporation. This book was released on 2012-07-17 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: An exploration of conceptual foundations and the practical applications of limits in mathematics, this text offers a concise introduction to the theoretical study of calculus. Many exercises with solutions. 1966 edition.
Download or read book Limits written by Alan F. Beardon and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended as an undergraduate text on real analysis, this book includes all the standard material such as sequences, infinite series, continuity, differentiation, and integration, together with worked examples and exercises. By unifying and simplifying all the various notions of limit, the author has successfully presented a novel approach to the subject matter, which has not previously appeared in book form. The author defines the term limit once only, and all of the subsequent limiting processes are seen to be special cases of this one definition. Accordingly, the subject matter attains a unity and coherence that is not to be found in the traditional approach. Students will be able to fully appreciate and understand the common source of the topics they are studying while also realising that they are "variations on a theme", rather than essentially different topics, and therefore, will gain a better understanding of the subject.
Book Synopsis Limits and Continuity by : Richard A. Silverman
Download or read book Limits and Continuity written by Richard A. Silverman and published by M.E. Sharpe. This book was released on 1969 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Outer Limits of Reason by : Noson S. Yanofsky
Download or read book The Outer Limits of Reason written by Noson S. Yanofsky and published by MIT Press. This book was released on 2016-11-04 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: This exploration of the scientific limits of knowledge challenges our deep-seated beliefs about our universe, our rationality, and ourselves. “A must-read for anyone studying information science.” —Publishers Weekly, starred review Many books explain what is known about the universe. This book investigates what cannot be known. Rather than exploring the amazing facts that science, mathematics, and reason have revealed to us, this work studies what science, mathematics, and reason tell us cannot be revealed. In The Outer Limits of Reason, Noson Yanofsky considers what cannot be predicted, described, or known, and what will never be understood. He discusses the limitations of computers, physics, logic, and our own intuitions about the world—including our ideas about space, time, and motion, and the complex relationship between the knower and the known. Yanofsky describes simple tasks that would take computers trillions of centuries to complete and other problems that computers can never solve: • perfectly formed English sentences that make no sense • different levels of infinity • the bizarre world of the quantum • the relevance of relativity theory • the causes of chaos theory • math problems that cannot be solved by normal means • statements that are true but cannot be proven Moving from the concrete to the abstract, from problems of everyday language to straightforward philosophical questions to the formalities of physics and mathematics, Yanofsky demonstrates a myriad of unsolvable problems and paradoxes. Exploring the various limitations of our knowledge, he shows that many of these limitations have a similar pattern and that by investigating these patterns, we can better understand the structure and limitations of reason itself. Yanofsky even attempts to look beyond the borders of reason to see what, if anything, is out there.
Download or read book APEX Calculus written by Gregory Hartman and published by . This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: APEX Calculus is a calculus textbook written for traditional college/university calculus courses. It has the look and feel of the calculus book you likely use right now (Stewart, Thomas & Finney, etc.). The explanations of new concepts is clear, written for someone who does not yet know calculus. Each section ends with an exercise set with ample problems to practice & test skills (odd answers are in the back).
Book Synopsis Calculus Reordered by : David M. Bressoud
Download or read book Calculus Reordered written by David M. Bressoud and published by Princeton University Press. This book was released on 2019-07-16 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: How our understanding of calculus has evolved over more than three centuries, how this has shaped the way it is taught in the classroom, and why calculus pedagogy needs to change Calculus Reordered takes readers on a remarkable journey through hundreds of years to tell the story of how calculus evolved into the subject we know today. David Bressoud explains why calculus is credited to seventeenth-century figures Isaac Newton and Gottfried Leibniz, and how its current structure is based on developments that arose in the nineteenth century. Bressoud argues that a pedagogy informed by the historical development of calculus represents a sounder way for students to learn this fascinating area of mathematics. Delving into calculus’s birth in the Hellenistic Eastern Mediterranean—particularly in Syracuse, Sicily and Alexandria, Egypt—as well as India and the Islamic Middle East, Bressoud considers how calculus developed in response to essential questions emerging from engineering and astronomy. He looks at how Newton and Leibniz built their work on a flurry of activity that occurred throughout Europe, and how Italian philosophers such as Galileo Galilei played a particularly important role. In describing calculus’s evolution, Bressoud reveals problems with the standard ordering of its curriculum: limits, differentiation, integration, and series. He contends that the historical order—integration as accumulation, then differentiation as ratios of change, series as sequences of partial sums, and finally limits as they arise from the algebra of inequalities—makes more sense in the classroom environment. Exploring the motivations behind calculus’s discovery, Calculus Reordered highlights how this essential tool of mathematics came to be.
Book Synopsis Advanced Calculus by : Patrick Fitzpatrick
Download or read book Advanced Calculus written by Patrick Fitzpatrick and published by American Mathematical Soc.. This book was released on 2009 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Advanced Calculus is intended as a text for courses that furnish the backbone of the student's undergraduate education in mathematical analysis. The goal is to rigorously present the fundamental concepts within the context of illuminating examples and stimulating exercises. This book is self-contained and starts with the creation of basic tools using the completeness axiom. The continuity, differentiability, integrability, and power series representation properties of functions of a single variable are established. The next few chapters describe the topological and metric properties of Euclidean space. These are the basis of a rigorous treatment of differential calculus (including the Implicit Function Theorem and Lagrange Multipliers) for mappings between Euclidean spaces and integration for functions of several real variables."--pub. desc.
Download or read book The Limits to Growth written by and published by . This book was released on 1975 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Active Calculus 2018 by : Matthew Boelkins
Download or read book Active Calculus 2018 written by Matthew Boelkins and published by Createspace Independent Publishing Platform. This book was released on 2018-08-13 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: Active Calculus - single variable is a free, open-source calculus text that is designed to support an active learning approach in the standard first two semesters of calculus, including approximately 200 activities and 500 exercises. In the HTML version, more than 250 of the exercises are available as interactive WeBWorK exercises; students will love that the online version even looks great on a smart phone. Each section of Active Calculus has at least 4 in-class activities to engage students in active learning. Normally, each section has a brief introduction together with a preview activity, followed by a mix of exposition and several more activities. Each section concludes with a short summary and exercises; the non-WeBWorK exercises are typically involved and challenging. More information on the goals and structure of the text can be found in the preface.
Book Synopsis Space, Time and the Limits of Human Understanding by : Shyam Wuppuluri
Download or read book Space, Time and the Limits of Human Understanding written by Shyam Wuppuluri and published by Springer. This book was released on 2016-12-01 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this compendium of essays, some of the world’s leading thinkers discuss their conceptions of space and time, as viewed through the lens of their own discipline. With an epilogue on the limits of human understanding, this volume hosts contributions from six or more diverse fields. It presumes only rudimentary background knowledge on the part of the reader. Time and again, through the prism of intellect, humans have tried to diffract reality into various distinct, yet seamless, atomic, yet holistic, independent, yet interrelated disciplines and have attempted to study it contextually. Philosophers debate the paradoxes, or engage in meditations, dialogues and reflections on the content and nature of space and time. Physicists, too, have been trying to mold space and time to fit their notions concerning micro- and macro-worlds. Mathematicians focus on the abstract aspects of space, time and measurement. While cognitive scientists ponder over the perceptual and experiential facets of our consciousness of space and time, computer scientists theoretically and practically try to optimize the space-time complexities in storing and retrieving data/information. The list is never-ending. Linguists, logicians, artists, evolutionary biologists, geographers etc., all are trying to weave a web of understanding around the same duo. However, our endeavour into a world of such endless imagination is restrained by intellectual dilemmas such as: Can humans comprehend everything? Are there any limits? Can finite thought fathom infinity? We have sought far and wide among the best minds to furnish articles that provide an overview of the above topics. We hope that, through this journey, a symphony of patterns and tapestry of intuitions will emerge, providing the reader with insights into the questions: What is Space? What is Time? Chapter [15] of this book is available open access under a CC BY 4.0 license.
Book Synopsis Calculus Without Limits by : John C. Sparks
Download or read book Calculus Without Limits written by John C. Sparks and published by AuthorHouse. This book was released on 2004-06 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: First time author Ledesma sets his adventure tale in early America. Antonios' travels and adventures carry him across two continents, Europe and America in his quest for a new life. He leaves the safety and love of his family in Italy for uncertain life in a far off land. His dreams, anxieties and fears are borne out as he encounters and conquers the harsh strange and challenging world that surrounds him. Each tantalizing adventure brings our hero closer to maturity, self-esteem and the molding of his character. He experiences love; fear and death on his long journey and witnesses the history that shaped early America. 1n 1846 he becomes an early pioneer by joining a wagon train bound for California. During the trip he experiences encounters with Indians, death, accidents and newly establishes a long lasting friendship. He wanders around California finding romance and land. He eventually starts a grape vineyard and establishes himself as a rancher, husband and father. His life in early California is entwined with such history making events as the Gold Rush, statehood, the Pony Express, building of the Transcontinental Railroad and many more historical events. Reading this heart warming young mans story will enrich the readers to understand the personal triumphs, hardships and the west's rich history
Book Synopsis Contingency and the Limits of History by : Liane Carlson
Download or read book Contingency and the Limits of History written by Liane Carlson and published by Columbia University Press. This book was released on 2019-07-30 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Central to the historicizing work of recent decades has been the concept of contingency, the realm of chance, change, and the unnecessary. Following Nietzsche and Foucault, genealogists have deployed contingency to show that all institutions and ideas could have been otherwise as a critique of the status quo. Yet scholars have spent very little time considering the genealogy of contingency itself—or what its history means for its role in politics. In Contingency and the Limits of History, Liane Carlson historicizes contingency by tying it to its theological and etymological roots in “touch,” contending that much of its critical, disruptive power is specific to our current historical moment. She returns to an older definition of contingency found in Christian theology that understands it as the lot of mortal creatures, who suffer, feel, bleed, and change, in contrast to a necessary, unchanging, impassible God. Far from dying out, Carlson reveals, this theological past persists in continental philosophy, where thinkers such as Novalis, Schelling, Merleau-Ponty, and Serres have imagined contingency as a type of radical destabilization brought about by the body’s collision with a changing world. Through studies of sickness, loneliness, violation, and love, she shows that different experiences of contingency can lead to dramatically dissimilar ethical and political projects. A strikingly original reconsideration of one of continental philosophy and critical theory’s most cherished concepts, this book reveals the limits of historicist accounts.
Book Synopsis Taking Tourism to the Limits by : Michelle Aicken
Download or read book Taking Tourism to the Limits written by Michelle Aicken and published by Routledge. This book was released on 2006-08-11 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of margins and limits is often referred to within the tourism academic literature and includes subjects as diverse as carrying capacities, peripheral economies, technological advancement, adventure tourism, dark tourism and socially marginalized communities. After identifying a number of ways in which ‘limits’ might be defined Taking Tourism to the Limits explores concepts and challenges facing contemporary tourism in five main sections, namely in tourism planning and management, nature based tourism, dark tourism, adventure and sport tourism and the accommodation industry. Drawing upon case studies, current research and conceptualizations these different facets of the ‘limits’ are each introduced by the editors with commentaries that seek to identify themes and current practice and thinking in the respective domains. The picture that emerges is of an industry that reinvents itself in response to changing market parameters even while core issues of stakeholder equities and political processes remain problematic. International in scale, the book links with its companion piece Indigenous Tourism – the commodification and management of culture (also published by Elsevier) as an outcome of the very highly successful conference, Taking Tourism to the Limits hosted by the University of Waikato’ Department of Tourism Management in 2003.
Book Synopsis The Limits of Concept Formation in Natural Science by : Heinrich Rickert
Download or read book The Limits of Concept Formation in Natural Science written by Heinrich Rickert and published by Cambridge University Press. This book was released on 1986-10-31 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Heinrich Rickert (1863-1936) was one of the leading neo-Kantian philosophers in Germany and a crucial figure in the discussions of the foundations of the social sciences in the first quarter of the twentieth century. His views were extremely influential, most significantly on Max Weber. The Limits of Concept Formation in Natural Science is Rickert's most important work, and it is here translated into English for the first time. It presents his systematic theory of knowledge and philosophy of science, and deals particularly with historical knowledge and the problem of demarcating the natural from the human sciences. The theory Rickert develops is carefully argued and of great intrinsic interest. It departs from both positivism and neo-Hegelian idealism and is worked out by contrast to the views of others, particularly Dilthey and the early phenomenologists.
Book Synopsis Advanced Calculus by : Lynn Harold Loomis
Download or read book Advanced Calculus written by Lynn Harold Loomis and published by World Scientific Publishing Company. This book was released on 2014-02-26 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades. This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis. The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives. In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.
Download or read book Calculus written by Michael Spivak and published by . This book was released on 1980 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Exploring the Limits of Preclassical Mechanics by : Peter Damerow
Download or read book Exploring the Limits of Preclassical Mechanics written by Peter Damerow and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: The question of when and how the basic concepts that characterize modern science arose in Western Europe has long been central to the history of science. This book examines the transition from Renaissance engineering and philosophy of nature to classical mechanics oriented on the central concept of velocity. For this new edition, the authors include a new discussion of the doctrine of proportions, an analysis of the role of traditional statics in the construction of Descartes' impact rules, and go deeper into the debate between Descartes and Hobbes on the explanation of refraction. They also provide significant new material on the early development of Galileo's work on mechanics and the law of fall.
