A Concept Of Limits
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A Concept Of Limits
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Author : Donald W. Hight
language : en
Publisher: Courier Corporation
Release Date : 2012-07-17
A Concept Of Limits written by Donald W. Hight and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-17 with Mathematics categories.
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.
Limits
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Author : Alan F. Beardon
language : en
Publisher: Springer Science & Business Media
Release Date : 1997-10-30
Limits written by Alan F. Beardon and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-10-30 with Mathematics categories.
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.
The Outer Limits Of Reason
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Author : Noson S. Yanofsky
language : en
Publisher: MIT Press
Release Date : 2013-08-23
The Outer Limits Of Reason written by Noson S. Yanofsky and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-23 with Science categories.
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.
Apex Calculus Version 3 0
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Author : Gregory Hartman
language : en
Publisher:
Release Date : 2015
Apex Calculus Version 3 0 written by Gregory Hartman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Calculus categories.
Calculus Reordered
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Author : David M. Bressoud
language : en
Publisher: Princeton University Press
Release Date : 2019-07-16
Calculus Reordered written by David M. Bressoud and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-16 with Mathematics categories.
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.
Active Calculus 2018
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Author : Matthew Boelkins
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2018-08-13
Active Calculus 2018 written by Matthew Boelkins and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-13 with categories.
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.
Calculus Without Limits
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Author : John C. Sparks
language : en
Publisher: AuthorHouse
Release Date : 2004-06
Calculus Without Limits written by John C. Sparks and has been published by AuthorHouse this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-06 with Mathematics categories.
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
Space Time And The Limits Of Human Understanding
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Author : Shyam Wuppuluri
language : en
Publisher: Springer
Release Date : 2016-12-01
Space Time And The Limits Of Human Understanding written by Shyam Wuppuluri and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-01 with Science categories.
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.
The Limits Of Concept Formation In Natural Science
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Author : Heinrich Rickert
language : en
Publisher: CUP Archive
Release Date : 1986-10-31
The Limits Of Concept Formation In Natural Science written by Heinrich Rickert and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-10-31 with History categories.
This book is Heinrich Rickert's most important work. It presents his systematic theory of knowledge and philosophy of science.
The Limits To Growth Revisited
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Author : Ugo Bardi
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-05-27
The Limits To Growth Revisited written by Ugo Bardi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-27 with Technology & Engineering categories.
“The Limits to Growth” (Meadows, 1972) generated unprecedented controversy with its predictions of the eventual collapse of the world's economies. First hailed as a great advance in science, “The Limits to Growth” was subsequently rejected and demonized. However, with many national economies now at risk and global peak oil apparently a reality, the methods, scenarios, and predictions of “The Limits to Growth” are in great need of reappraisal. In The Limits to Growth Revisited, Ugo Bardi examines both the science and the polemics surrounding this work, and in particular the reactions of economists that marginalized its methods and conclusions for more than 30 years. “The Limits to Growth” was a milestone in attempts to model the future of our society, and it is vital today for both scientists and policy makers to understand its scientific basis, current relevance, and the social and political mechanisms that led to its rejection. Bardi also addresses the all-important question of whether the methods and approaches of “The Limits to Growth” can contribute to an understanding of what happened to the global economy in the Great Recession and where we are headed from there.