Learning Basic Calculus

Learning Basic Calculus PDF

Author: Alexander Hahn

Publisher: Springer Science & Business Media

Published: 1998

Total Pages: 572

ISBN-13: 9780387946061

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This introductory calculus text was developed by the author through his teaching of an honors calculus course at Notre Dame. The book develops calculus, as well as the necessary trigonometry and analytic geometry, from witin the relevant historical context, and yet it is not a textbook in the history of mathematics as such. The notation is modern, and the material is selected to cover the basics of the subject. Special emphasis is placed on pedagogy throughout. Whhile emphasizing the broad applications of the subject, emphasis is placed on the mathematical content of the subject.

Math Running Records in Action

Math Running Records in Action PDF

Author: Nicki Newton

Publisher: Routledge

Published: 2016-06-17

Total Pages: 250

ISBN-13: 1317403002

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In this new book from popular consultant and bestselling author Dr. Nicki Newton, you’ll discover how to use Math Running Records to assess students’ basic fact fluency and increase student achievement. Like a GPS, Math Running Records pinpoint exactly where students are in their understanding of basic math facts and then outline the next steps toward comprehensive fluency. This practical book introduces a research-based framework to assess students’ thinking and move them toward becoming confident, proficient, flexible mathematicians with a robust sense of numbers. Topics include: Learning how often to administer Math Running Records and how to strategically introduce them into your existing curriculum; Analyzing, and interpreting Math Running Records for addition, subtraction, multiplication, and division; Using the data gathered from Math Running Records to implement evidence-based, research-driven instruction. Evaluating students’ speed, accuracy, flexibility, and efficiency to help them attain computational fluency; Each chapter offers a variety of charts and tools that you can use in the classroom immediately, and the strategies can easily be adapted for students at all levels of math fluency across grades K-8. Videos of sample running records are also available for download at https://guidedmath.wordpress.com/math-running-records-videos.

BASIC for the Newton

BASIC for the Newton PDF

Author: John Schettino

Publisher: Morgan Kaufmann Pub

Published: 1995-01-01

Total Pages: 404

ISBN-13: 9780126239553

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BASIC for the Newton shows owners of Newton devices how to become Newton programmers using BASIC, the world's most widely-used, beginner-level programming language. The authors use a straightforward, "programming by example" approach, which should have you writing your own Newton programs in very short order.

Newton-Type Methods for Optimization and Variational Problems

Newton-Type Methods for Optimization and Variational Problems PDF

Author: Alexey F. Izmailov

Publisher: Springer

Published: 2014-07-08

Total Pages: 587

ISBN-13: 3319042475

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This book presents comprehensive state-of-the-art theoretical analysis of the fundamental Newtonian and Newtonian-related approaches to solving optimization and variational problems. A central focus is the relationship between the basic Newton scheme for a given problem and algorithms that also enjoy fast local convergence. The authors develop general perturbed Newtonian frameworks that preserve fast convergence and consider specific algorithms as particular cases within those frameworks, i.e., as perturbations of the associated basic Newton iterations. This approach yields a set of tools for the unified treatment of various algorithms, including some not of the Newton type per se. Among the new subjects addressed is the class of degenerate problems. In particular, the phenomenon of attraction of Newton iterates to critical Lagrange multipliers and its consequences as well as stabilized Newton methods for variational problems and stabilized sequential quadratic programming for optimization. This volume will be useful to researchers and graduate students in the fields of optimization and variational analysis.

Newton's Gravity

Newton's Gravity PDF

Author: Douglas W. MacDougal

Publisher: Springer Science & Business Media

Published: 2012-12-16

Total Pages: 442

ISBN-13: 1461454441

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“Newton’s Gravity” conveys the power of simple mathematics to tell the fundamental truth about nature. Many people, for example, know the tides are caused by the pull of the Moon and to a lesser extent the Sun. But very few can explain exactly how and why that happens. Fewer still can calculate the actual pulls of the Moon and Sun on the oceans. This book shows in clear detail how to do this with simple tools. It uniquely crosses disciplines – history, astronomy, physics and mathematics – and takes pains to explain things frequently passed over or taken for granted in other books. Using a problem-based approach, “Newton’s Gravity” explores the surprisingly basic mathematics behind gravity, the most fundamental force that governs the movements of satellites, planets, and the stars. Author Douglas W. MacDougal uses actual problems from the history of astronomy, as well as original examples, to deepen understanding of how discoveries were made and what they mean. “Newton’s Gravity” concentrates strongly on the development of the science of orbital motion, beginning with Galileo, Kepler, and Newton, each of whom is prominently represented. Quotes and problems from Galileo’s Dialogs Concerning Two New Sciences and particularly Newton’s Principia help the reader get inside the mind of those thinkers and see the problems as they saw them, and experience their concise and typically eloquent writing. This book enables students and curious minds to explore the mysteries of celestial motion without having to know advanced mathematics. It will whet the reader’s curiosity to explore further and provide him or her the tools (mathematical or physical) to do so.

Sir Isaac Newton's Mathematical Principles of Natural Philosophy and His System of the World

Sir Isaac Newton's Mathematical Principles of Natural Philosophy and His System of the World PDF

Author: Sir Isaac Newton

Publisher: Univ of California Press

Published: 2023-11-15

Total Pages: 714

ISBN-13: 0520321723

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This title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1934.

Isaac Newton's Scientific Method

Isaac Newton's Scientific Method PDF

Author: William L. Harper

Publisher: Oxford University Press

Published: 2011-12-08

Total Pages:

ISBN-13: 0191617903

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Isaac Newton's Scientific Method examines Newton's argument for universal gravity and his application of it to resolve the problem of deciding between geocentric and heliocentric world systems by measuring masses of the sun and planets. William L. Harper suggests that Newton's inferences from phenomena realize an ideal of empirical success that is richer than prediction. Any theory that can achieve this rich sort of empirical success must not only be able to predict the phenomena it purports to explain, but also have those phenomena accurately measure the parameters which explain them. Harper explores the ways in which Newton's method aims to turn theoretical questions into ones which can be answered empirically by measurement from phenomena, and to establish that propositions inferred from phenomena are provisionally accepted as guides to further research. This methodology, guided by its rich ideal of empirical success, supports a conception of scientific progress that does not require construing it as progress toward Laplace's ideal limit of a final theory of everything, and is not threatened by the classic argument against convergent realism. Newton's method endorses the radical theoretical transformation from his theory to Einstein's. Harper argues that it is strikingly realized in the development and application of testing frameworks for relativistic theories of gravity, and very much at work in cosmology today.

Isaac Newton on Mathematical Certainty and Method

Isaac Newton on Mathematical Certainty and Method PDF

Author: Niccolò Guicciardini

Publisher: MIT Press

Published: 2009

Total Pages: 449

ISBN-13: 0262013177

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An analysis of Newton's mathematical work, from early discoveries to mature reflections, and a discussion of Newton's views on the role and nature of mathematics.