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Calculus Explorations Powered By Technology
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Book Synopsis The Mathematics of the Heavens and the Earth by : Glen Van Brummelen
Download or read book The Mathematics of the Heavens and the Earth written by Glen Van Brummelen and published by Princeton University Press. This book was released on 2009 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematics of the Heavens and the Earth is the first major history in English of the origins and early development of trigonometry. Glen Van Brummelen identifies the earliest known trigonometric precursors in ancient Egypt, Babylon, and Greece, and he examines the revolutionary discoveries of Hipparchus, the Greek astronomer believed to have been the first to make systematic use of trigonometry in the second century BC while studying the motions of the stars. The book traces trigonometry's development into a full-fledged mathematical discipline in India and Islam; explores its applications to such areas as geography and seafaring navigation in the European Middle Ages and Renaissance; and shows how trigonometry retained its ancient roots at the same time that it became an important part of the foundation of modern mathematics. The Mathematics of the Heavens and the Earth looks at the controversies as well, including disputes over whether Hipparchus was indeed the father of trigonometry, whether Indian trigonometry is original or derived from the Greeks, and the extent to which Western science is indebted to Islamic trigonometry and astronomy. The book also features extended excerpts of translations of original texts, and detailed yet accessible explanations of the mathematics in them. No other book on trigonometry offers the historical breadth, analytical depth, and coverage of non-Western mathematics that readers will find in The Mathematics of the Heavens and the Earth.
Book Synopsis Advanced Calculus (Revised Edition) by : Lynn Harold Loomis
Download or read book Advanced Calculus (Revised Edition) written by Lynn Harold Loomis and published by World Scientific Publishing Company. This book was released on 2014-02-26 with total page 595 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.
Book Synopsis Geography, Technology and Instruments of Exploration by : Fraser MacDonald
Download or read book Geography, Technology and Instruments of Exploration written by Fraser MacDonald and published by Routledge. This book was released on 2016-04-22 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on aspects of the functioning of technology, and by looking at instruments and at instrumental performance, this book addresses the epistemological questions arising from examining the technological bases to geographical exploration and knowledge claims. Questions of geography and exploration and technology are addressed in historical and contemporary context and in different geographical locations and intellectual cultures. The collection brings together scholars in the history of geographical exploration, historians of science, historians of technology and, importantly, experts with curatorial responsibilities for, and museological expertise in, major instrument collections. Ranging in their focus from studies of astronomical practice to seismography, meteorological instruments and rockets, from radar to the hand-held barometer, the chapters of this book examine the ways in which instruments and questions of technology - too often overlooked hitherto - offer insight into the connections between geography and exploration.
Book Synopsis Assessment of Authentic Performance in School Mathematics by : Richard A. Lesh
Download or read book Assessment of Authentic Performance in School Mathematics written by Richard A. Lesh and published by Routledge. This book was released on 2013-04-03 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the result of a conference sponsored by the Educational Testing Service and the University of Wisconsin's National Center for Research in Mathematical Sciences Education. The purpose of the conference was to facilitate the work of a group of scholars whose interests included the assessment of higher-order understandings and processes in foundation-level (pre-high school) mathematics. Discussions focused on such issues as the purposes of assessment, guidelines for producing and scoring "real-life" assessment activities, and the meanings of such terms as "deeper and higher-order understanding," "cognitive objectives," and "authentic mathematical activities." Assessment was viewed as a critical component of complex, dynamic, and continually adapting educational systems. During the time that the chapters in this book were being written, sweeping changes in mathematics education were being initiated in response to powerful recent advances in technology, cognitive psychology, and mathematics, as well as to numerous public demands for educational reform. These changes have already resulted in significant reappraisals of what it means to understand mathematics, of the nature of mathematics teaching and learning, and of the real-life situations in which mathematics is useful. The challenge was to pursue assessment-related initiatives that are systematically valid, in the sense that they work to complement and enhance other improvements in the educational system rather than act as an impediment to badly needed curriculum reforms. To address these issues, most chapters in this book focus on clarifying and articulating the goals of assessment and instruction, and they stress the content of assessment above its mode of delivery. Computer- or portfolio-based assessments are interpreted as means to ends, not as ends in themselves. Assessment is conceived as an ongoing documentation process, seamless with instruction, whose quality hinges upon its ability to provide complete and appropriate information as needed to inform priorities in instructional decision making. This book tackles some of the most complicated issues related to assessment, and it offers fresh perspectives from leaders in the field--with the hope that the ultimate consumer in the instruction/assessment enterprise, the individual student, will reclaim his or her potential for self-directed mathematics learning.
Book Synopsis The Power of Knowledge by : Jeremy Black
Download or read book The Power of Knowledge written by Jeremy Black and published by Yale University Press. This book was released on 2014-01-14 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: Information is power. For more than five hundred years the success or failure of nations has been determined by a country’s ability to acquire knowledge and technical skill and transform them into strength and prosperity. Leading historian Jeremy Black approaches global history from a distinctive perspective, focusing on the relationship between information and society and demonstrating how the understanding and use of information have been the primary factors in the development and character of the modern age. Black suggests that the West’s ascension was a direct result of its institutions and social practices for acquiring, employing, and retaining information and the technology that was ultimately produced. His cogent and well-reasoned analysis looks at cartography and the hardware of communication, armaments and sea power, mercantilism and imperialism, science and astronomy, as well as bureaucracy and the management of information, linking the history of technology with the history of global power while providing important indicators for the future of our world.
Book Synopsis Advanced Educational Technologies for Mathematics and Science by : David L. Ferguson
Download or read book Advanced Educational Technologies for Mathematics and Science written by David L. Ferguson and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the outgrowth of a NATO Advanced Research Workshop, held in Milton Keynes (United Kingdom) in the summer of 1990. The workshop brought together about 30 world leaders in the use of advanced technologies in the teaching of mathematics and science. Many of these participants commented that the workshop was one of the more productive and exciting workshops that they had attended. It was not uncommon to see participants engaged in informal discussion far into the evenings and early mornings, long after formal sessions had ended. It is my hope that this book captures the substance and excitement of many of the ideas that were presented at the workshop. Indeed, the process by which this book has come about has given every opportunity for the best thinking to get reflected here. Participants wrote papers prior to the workshop. After the workshop, participants revised the papers at least once. In a few instances, three versions of papers were written. Some participants could not resist the urge to incorporate descriptions of some of the newer developments in their projects. The papers in this book demonstrate how technology is impacting our view of what should be taught, what can be taught, and how we should go about teaching in the various disciplines. As such, they offer great insight into the central issues of teaching and learning in a wide range of disciplines and across many grade levels (ranging from elementary school through undergraduate college education).
Book Synopsis Guide for Occupational Exploration by : J. Michael Farr
Download or read book Guide for Occupational Exploration written by J. Michael Farr and published by JIST Works. This book was released on 2001 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains descriptions of approximately one thousand jobs, grouped in fourteen major interest areas, with information on required skills and knowledge, education, and training.
Book Synopsis Exploratory Potential Methods in Geothermal Power Generation by : Willi Freeden
Download or read book Exploratory Potential Methods in Geothermal Power Generation written by Willi Freeden and published by Springer Nature. This book was released on 2024 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides the geoscientific context, that arises in gravimetric/magnetometric exploration. It essentially uses mathematics as a key technology for modeling issues on the basis of analysis and interpretation according to dense and precise gravitational/magnetic measurements. It is dedicated to surface and deep geology with potential data primarily of terrestrial origin. The book spans the interdisciplinary arc from geoengineering, especially geodesy, via geophysics to geomathematics and geology, and back again. It presents the recently published pioneering and groundbreaking multiscale mollifier methodologies realizing the bridging transfer from gravitational/magnetic measurements to approximative/numerical mollifier wavelet decorrelations with novel geologic prospects and layer-structure determination as outcome. Using the specific example of the German Saarland region, new important fields of application, especially for areas with mining-related cavities, will be opened up and subjected to an in-depth geologic detection.
Book Synopsis Leibniz’s Correspondence in Science, Technology and Medicine (1676 –1701) by : James O'Hara
Download or read book Leibniz’s Correspondence in Science, Technology and Medicine (1676 –1701) written by James O'Hara and published by BRILL. This book was released on 2024-08-01 with total page 1091 pages. Available in PDF, EPUB and Kindle. Book excerpt: Leibniz’s correspondence from his years spent in Paris (1672-1676) reflects his growth to mathematical maturity whereas that from the years 1676-1701 reveals his growth to maturity in science, technology and medicine in the course of which more than 2000 letters were exchanged with more than 200 correspondents. The remaining years until his death in 1716 witnessed above all the appearance of his major philosophical works. The focus of the present work is Leibniz's middle period and the core themes and core texts from his multilingual correspondence are presented in English from the following subject areas: mathematics, natural philosophy, physics (and cosmology), power technology (including mining and transport), engineering and engineering science, projects (scientific, technological and economic projects), alchemy and chemistry, geology, biology and medicine.
Download or read book ENC Focus written by and published by . This book was released on 2001 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis New Horizons in Mathematics and Science Education by :
Download or read book New Horizons in Mathematics and Science Education written by and published by . This book was released on 2001 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis EBOOK: Calculus: Early Transcendental Functions by : Robert T Smith
Download or read book EBOOK: Calculus: Early Transcendental Functions written by Robert T Smith and published by McGraw Hill. This book was released on 2011-02-16 with total page 1177 pages. Available in PDF, EPUB and Kindle. Book excerpt: Students who have used Smith/Minton's Calculus say it was easier to read than any other math book they've used. That testimony underscores the success of the authors’ approach, which combines the best elements of reform with the most reliable aspects of mainstream calculus teaching, resulting in a motivating, challenging book. Smith/Minton also provide exceptional, reality-based applications that appeal to students’ interests and demonstrate the elegance of math in the world around us. New features include: • A new organization placing all transcendental functions early in the book and consolidating the introduction to L'Hôpital's Rule in a single section. • More concisely written explanations in every chapter. • Many new exercises (for a total of 7,000 throughout the book) that require additional rigor not found in the 2nd Edition. • New exploratory exercises in every section that challenge students to synthesize key concepts to solve intriguing projects. • New commentaries (“Beyond Formulas”) that encourage students to think mathematically beyond the procedures they learn. • New counterpoints to the historical notes, “Today in Mathematics,” that stress the contemporary dynamism of mathematical research and applications, connecting past contributions to the present. • An enhanced discussion of differential equations and additional applications of vector calculus.
Download or read book Resources in Education written by and published by . This book was released on 2001 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Precalculus Mathematics by : Franklin D. Demana
Download or read book Precalculus Mathematics written by Franklin D. Demana and published by Addison Wesley Publishing Company. This book was released on 1994 with total page 944 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Popular Science written by and published by . This book was released on 2007-11 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: Popular Science gives our readers the information and tools to improve their technology and their world. The core belief that Popular Science and our readers share: The future is going to be better, and science and technology are the driving forces that will help make it better.
Book Synopsis Calculus: Single and Multivariable by : Deborah Hughes-Hallett
Download or read book Calculus: Single and Multivariable written by Deborah Hughes-Hallett and published by John Wiley & Sons. This book was released on 2018-05-01 with total page 1184 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus: Single and Multivariable, 7th Edition continues the effort to promote courses in which understanding and computation reinforce each other. The 7th Edition reflects the many voices of users at research universities, four-year colleges, community colleges, and secondary schools. This new edition has been streamlined to create a flexible approach to both theory and modeling. The program includes a variety of problems and examples from the physical, health, and biological sciences, engineering and economics; emphasizing the connection between calculus and other fields.
Book Synopsis The Social Relations of Physics, Mysticism, and Mathematics by : S. Restivo
Download or read book The Social Relations of Physics, Mysticism, and Mathematics written by S. Restivo and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problems I address in this book are among the least studied in the soci ology of science and knowledge. Part I is a critique of the claim that there are parallels between ancient mysticism and modern physics, and a sociological analysis of this claim as a strategy in intellectual conflict. This study must. ultimately be rooted more firmly in a: type of sociology of knowledge that is just now beginning to crystallize (and which I discuss in Chapter 7), and a sociology of religion that is not so much unknown as underground, and timid, that is, a non-worshipful materialist sociology of religion. My study of physics-mysticism parallelism is a vehicle for exploring epistemic strategies. I thus conclude Part I by sketching a materialist, emancipatory epistemic strategy. My conclusion brings together a number of ideas formulated by myself and others over the past several years, but stops short of a systematic synthesis. A more integrated and coherent "model" than what I can sketch here must wait on the results of research now in progress in the critical (as opposed to apologetic or worshipful) sociology of knowledge.
