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Calculus Problems For A New Century
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Book Synopsis Calculus Problems for a New Century by : Robert Fraga
Download or read book Calculus Problems for a New Century written by Robert Fraga and published by Mathematical Association of America (MAA). This book was released on 1993 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Project of the Associated Colleges of the Midwest and the Great Lakes Colleges Association.
Book Synopsis Calculus Problems for a New Century by :
Download or read book Calculus Problems for a New Century written by and published by . This book was released on 1993 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Calculus written by Jon Rogawski and published by Macmillan. This book was released on 2008-06-23 with total page 1180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new text presents calculus with solid mathematical precision but with an everyday sensibility that puts the main concepts in clear terms. It is rigorous without being inaccessible and clear without being too informal it has the perfect balance for instructors and their students.
Book Synopsis Single Variable Calculus by : Jon Rogawski
Download or read book Single Variable Calculus written by Jon Rogawski and published by Macmillan. This book was released on 2007-06-11 with total page 780 pages. Available in PDF, EPUB and Kindle. Book excerpt: The single-variable volume of Rogawski's new text presents this section of the calculus course with solid mathematical precision but with an everyday sensibility that puts the main concepts in clear terms. It is rigorous without being inaccessible and clear without being too informal--it has the perfect balance for instructors and their students.
Book Synopsis The Mathematical Century by : Piergiorgio Odifreddi
Download or read book The Mathematical Century written by Piergiorgio Odifreddi and published by Princeton University Press. This book was released on 2006-10-22 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: The twentieth century was a time of unprecedented development in mathematics, as well as in all sciences: more theorems were proved and results found in a hundred years than in all of previous history. In The Mathematical Century, Piergiorgio Odifreddi distills this unwieldy mass of knowledge into a fascinating and authoritative overview of the subject. He concentrates on thirty highlights of pure and applied mathematics. Each tells the story of an exciting problem, from its historical origins to its modern solution, in lively prose free of technical details. Odifreddi opens by discussing the four main philosophical foundations of mathematics of the nineteenth century and ends by describing the four most important open mathematical problems of the twenty-first century. In presenting the thirty problems at the heart of the book he devotes equal attention to pure and applied mathematics, with applications ranging from physics and computer science to biology and economics. Special attention is dedicated to the famous "23 problems" outlined by David Hilbert in his address to the International Congress of Mathematicians in 1900 as a research program for the new century, and to the work of the winners of the Fields Medal, the equivalent of a Nobel prize in mathematics. This eminently readable book will be treasured not only by students and their teachers but also by all those who seek to make sense of the elusive macrocosm of twentieth-century mathematics.
Book Synopsis Calculus Problems for a New Century by : Robert Fraga
Download or read book Calculus Problems for a New Century written by Robert Fraga and published by . This book was released on 199? with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Calculus: Early Transcendentals (Paper) by : Jon Rogawski
Download or read book Calculus: Early Transcendentals (Paper) written by Jon Rogawski and published by Macmillan. This book was released on 2011-03-30 with total page 1207 pages. Available in PDF, EPUB and Kindle. Book excerpt: What’s the ideal balance? How can you make sure students get both the computational skills they need and a deep understanding of the significance of what they are learning? With your teaching—supported by Rogawski’s Calculus Second Edition—the most successful new calculus text in 25 years! Widely adopted in its first edition, Rogawski’s Calculus worked for instructors and students by balancing formal precision with a guiding conceptual focus. Rogawski engages students while reinforcing the relevance of calculus to their lives and future studies. Precise mathematics, vivid examples, colorful graphics, intuitive explanations, and extraordinary problem sets all work together to help students grasp a deeper understanding of calculus. Now Rogawski’s Calculus success continues in a meticulously updated new edition. Revised in response to user feedback and classroom experiences, the new edition provides an even smoother teaching and learning experience.
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 Single Variable Calculus: Early Transcendentals by : Jon Rogawski
Download or read book Single Variable Calculus: Early Transcendentals written by Jon Rogawski and published by Macmillan. This book was released on 2007-06-11 with total page 828 pages. Available in PDF, EPUB and Kindle. Book excerpt: Organized to support an "early transcendentals" approach to the single variable course, this version of Rogawski's highly anticipated text presents calculus with solid mathematical precision but with an everyday sensibility that puts the main concepts in clear terms. It is rigorous without being inaccessible and clear without being too informal--it has the perfect balance for instructors and their students.
Book Synopsis A History of the Calculus of Variations from the 17th through the 19th Century by : H. H. Goldstine
Download or read book A History of the Calculus of Variations from the 17th through the 19th Century written by H. H. Goldstine and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: The calculus of variations is a subject whose beginning can be precisely dated. It might be said to begin at the moment that Euler coined the name calculus of variations but this is, of course, not the true moment of inception of the subject. It would not have been unreasonable if I had gone back to the set of isoperimetric problems considered by Greek mathemati cians such as Zenodorus (c. 200 B. C. ) and preserved by Pappus (c. 300 A. D. ). I have not done this since these problems were solved by geometric means. Instead I have arbitrarily chosen to begin with Fermat's elegant principle of least time. He used this principle in 1662 to show how a light ray was refracted at the interface between two optical media of different densities. This analysis of Fermat seems to me especially appropriate as a starting point: He used the methods of the calculus to minimize the time of passage cif a light ray through the two media, and his method was adapted by John Bernoulli to solve the brachystochrone problem. There have been several other histories of the subject, but they are now hopelessly archaic. One by Robert Woodhouse appeared in 1810 and another by Isaac Todhunter in 1861.
Download or read book Calculus written by Morris Kline and published by Courier Corporation. This book was released on 2013-05-09 with total page 962 pages. Available in PDF, EPUB and Kindle. Book excerpt: Application-oriented introduction relates the subject as closely as possible to science with explorations of the derivative; differentiation and integration of the powers of x; theorems on differentiation, antidifferentiation; the chain rule; trigonometric functions; more. Examples. 1967 edition.
Book Synopsis Multivariable Calculus: Early Transcendentals by : Jon Rogawski
Download or read book Multivariable Calculus: Early Transcendentals written by Jon Rogawski and published by Macmillan. This book was released on 2007-06-22 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: Organized to support an "early transcendentals" approach to the multivariable section of the course, this version of Rogawski's highly anticipated text presents calculus with solid mathematical precision but with an everyday sensibility that puts the main concepts in clear terms. It is rigorous without being inaccessible and clear without being too informal--it has the perfect balance for instructors and their students.
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 2021-05-04 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus Reordered takes readers on a remarkable journey through hundreds of years to tell the story of how calculus grew to what we know today. David Bressoud explains why calculus is credited to Isaac Newton and Gottfried Leibniz in the seventeenth century, 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 presents a sounder way for students to learn this fascinating area of mathematics. Delving into calculus's birth in the Hellenistic Eastern Mediterranean--especially Syracuse in Sicily and Alexandria in 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 instead that the historical order--which follows first 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 Multivariable Calculus (Paper) by : Jon Rogawski
Download or read book Multivariable Calculus (Paper) written by Jon Rogawski and published by Macmillan. This book was released on 2007-06-22 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: The multivariable version of Rogawski's new text presents calculus with solid mathematical precision but with an everyday sensibility that puts the main concepts in clear terms. It is rigorous without being inaccessible and clear without being too informal--it has the perfect balance for instructors and their students.
Book Synopsis Learning by Discovery by : Anita E. Solow
Download or read book Learning by Discovery written by Anita E. Solow and published by Cambridge University Press. This book was released on 1993 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains 26 laboratory modules for use in coursework or in independent projects.
Book Synopsis A Short Book on Long Sums by : Fernando Q. Gouvêa
Download or read book A Short Book on Long Sums written by Fernando Q. Gouvêa and published by Springer Nature. This book was released on 2023-12-07 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise textbook introduces calculus students to power series through an informal and captivating narrative that avoids formal proofs but emphasizes understanding the fundamental ideas. Power series—and infinite series in general—are a fundamental tool of pure and applied mathematics. The problems focus on ideas, applications, and creative thinking instead of being repetitive and procedural. Calculus is about functions, so the book turns on two fundamental ideas: using polynomials to approximate a function and representing a function in terms of simpler functions. The derivative is reinterpreted in terms of linear approximations, which then leads to Taylor polynomials and the question of convergence. Enough of the theory of convergence is developed to allow a more complete understanding of power series and their applications. A final chapter looks at the distant horizon and discusses other kinds of series representations. SageMath, a free open-source mathematics software system, is used throughout to do computations, provide examples, and create many graphs. While most problems do not require SageMath, students are encouraged to use it where appropriate. An instructor’s guide with solutions to all the problems is available. The book is intended as a supplementary textbook for calculus courses; lecturers and instructors will find innovative and engaging ways to teach this topic. The informal and conversational tone make the book useful to any student seeking to understand this essential aspect of analysis.
Book Synopsis Mathematics in the 21st Century by : Pierre Cartier
Download or read book Mathematics in the 21st Century written by Pierre Cartier and published by Springer. This book was released on 2014-11-15 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerous well-presented and important papers from the conference are gathered in the proceedings for the purpose of pointing directions for useful future research in diverse areas of mathematics including algebraic geometry, analysis, commutative algebra, complex analysis, discrete mathematics, dynamical systems, number theory and topology. Several papers on computational and applied mathematics such as wavelet analysis, quantum mechanics, piecewise linear modeling, cosmological models of super symmetry, fluid dynamics, interpolation theory, optimization, ergodic theory and games theory are also presented.
