The Calculus Collection

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The Calculus Collection

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Author : Caren L. Diefenderfer
Publisher : American Mathematical Soc.
ISBN 13 : 0883857618
Total Pages : 529 pages
Book Rating : 4.8/5 (838 download)

Book Synopsis The Calculus Collection by : Caren L. Diefenderfer

Download or read book The Calculus Collection written by Caren L. Diefenderfer and published by American Mathematical Soc.. This book was released on 2010-12-31 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Calculus Collection is a useful resource for everyone who teaches calculus, in high school or in a 2- or 4-year college or university. It consists of 123 articles, selected by a panel of six veteran high school teachers, each of which was originally published in Math Horizons, MAA Focus, The American Mathematical Monthly, The College Mathematics Journal, or Mathematics Magazine. The articles focus on engaging students who are meeting the core ideas of calculus for the first time. The Calculus Collection is filled with insights, alternate explanations of difficult ideas, and suggestions for how to take a standard problem and open it up to the rich mathematical explorations available when you encourage students to dig a little deeper. Some of the articles reflect an enthusiasm for bringing calculators and computers into the classroom, while others consciously address themes from the calculus reform movement. But most of the articles are simply interesting and timeless explorations of the mathematics encountered in a first course in calculus.

Problems for Student Investigation

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Author : Mic B. Jackson
Publisher : Mathematical Association of America (MAA)
ISBN 13 :
Total Pages : 224 pages
Book Rating : 4.4/5 (91 download)

Book Synopsis Problems for Student Investigation by : Mic B. Jackson

Download or read book Problems for Student Investigation written by Mic B. Jackson and published by Mathematical Association of America (MAA). This book was released on 1993 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Calculus students should be expected to work on problems that require imagination, outside reading and consultation, cooperation, and coherent writing. They should work on open-ended problems that admit several different approaches and call upon students to defend both their methodology and their conclusion. Here is a source of 30 such projects." -- p. ix.

Calculus Set Free

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Author :
Publisher : Oxford University Press
ISBN 13 : 0192895591
Total Pages : 1617 pages
Book Rating : 4.1/5 (928 download)

Book Synopsis Calculus Set Free by :

Download or read book Calculus Set Free written by and published by Oxford University Press. This book was released on 2021-11-30 with total page 1617 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus Set Free: Infinitesimals to the Rescue is a single-variable calculus textbook that incorporates the use of infinitesimal methods. The procedures used throughout make many of the calculations simpler and the concepts clearer for undergraduate students, heightening success and easing a significant burden of entry into STEM disciplines. This text features a student-friendly exposition with ample marginal notes, examples, illustrations, and more. The exercises include a wide range of difficulty levels, stretching from very simple rapid response questions to the occasional exercise meant to test knowledge. While some exercises require the use of technology to work through, none are dependent on any specific software. The answers to odd-numbered exercises in the back of the book include both simplified and non-simplified answers, hints, or alternative answers. Throughout the text, notes in the margins include comments meant to supplement understanding, sometimes including line-by-line commentary for worked examples. Without sacrificing academic rigor, Calculus Set Free offers an engaging style that helps students to solidify their understanding on difficult theoretical calculus.

100 Years of Math Milestones: The Pi Mu Epsilon Centennial Collection

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Author : Stephan Ramon Garcia
Publisher : American Mathematical Soc.
ISBN 13 : 1470436523
Total Pages : 581 pages
Book Rating : 4.4/5 (74 download)

Book Synopsis 100 Years of Math Milestones: The Pi Mu Epsilon Centennial Collection by : Stephan Ramon Garcia

Download or read book 100 Years of Math Milestones: The Pi Mu Epsilon Centennial Collection written by Stephan Ramon Garcia and published by American Mathematical Soc.. This book was released on 2019-06-13 with total page 581 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an outgrowth of a collection of 100 problems chosen to celebrate the 100th anniversary of the undergraduate math honor society Pi Mu Epsilon. Each chapter describes a problem or event, the progress made, and connections to entries from other years or other parts of mathematics. In places, some knowledge of analysis or algebra, number theory or probability will be helpful. Put together, these problems will be appealing and accessible to energetic and enthusiastic math majors and aficionados of all stripes. Stephan Ramon Garcia is WM Keck Distinguished Service Professor and professor of mathematics at Pomona College. He is the author of four books and over eighty research articles in operator theory, complex analysis, matrix analysis, number theory, discrete geometry, and other fields. He has coauthored dozens of articles with students, including one that appeared in The Best Writing on Mathematics: 2015. He is on the editorial boards of Notices of the AMS, Proceedings of the AMS, American Mathematical Monthly, Involve, and Annals of Functional Analysis. He received four NSF research grants as principal investigator and five teaching awards from three different institutions. He is a fellow of the American Mathematical Society and was the inaugural recipient of the Society's Dolciani Prize for Excellence in Research. Steven J. Miller is professor of mathematics at Williams College and a visiting assistant professor at Carnegie Mellon University. He has published five books and over one hundred research papers, most with students, in accounting, computer science, economics, geophysics, marketing, mathematics, operations research, physics, sabermetrics, and statistics. He has served on numerous editorial boards, including the Journal of Number Theory, Notices of the AMS, and the Pi Mu Epsilon Journal. He is active in enrichment and supplemental curricular initiatives for elementary and secondary mathematics, from the Teachers as Scholars Program and VCTAL (Value of Computational Thinking Across Grade Levels), to numerous math camps (the Eureka Program, HCSSiM, the Mathematics League International Summer Program, PROMYS, and the Ross Program). He is a fellow of the American Mathematical Society, an at-large senator for Phi Beta Kappa, and a member of the Mount Greylock Regional School Committee, where he sees firsthand the challenges of applying mathematics.

Resources for Calculus Collection: Readings for calculus

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Author :
Publisher :
ISBN 13 : 9780883850879
Total Pages : pages
Book Rating : 4.8/5 (58 download)

Book Synopsis Resources for Calculus Collection: Readings for calculus by :

Download or read book Resources for Calculus Collection: Readings for calculus written by and published by . This book was released on 1993 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Resources for Calculus Collection

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Author : A. Wayne Roberts
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (636 download)

Book Synopsis Resources for Calculus Collection by : A. Wayne Roberts

Download or read book Resources for Calculus Collection written by A. Wayne Roberts and published by . This book was released on 1993 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Collection of Problems on Complex Analysis

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Author : Lev Izrailevich Volkovyski?
Publisher : Courier Corporation
ISBN 13 : 0486669130
Total Pages : 450 pages
Book Rating : 4.4/5 (866 download)

Book Synopsis A Collection of Problems on Complex Analysis by : Lev Izrailevich Volkovyski?

Download or read book A Collection of Problems on Complex Analysis written by Lev Izrailevich Volkovyski? and published by Courier Corporation. This book was released on 1991-01-01 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over 1500 problems on theory of functions of the complex variable; coverage of nearly every branch of classical function theory. Topics include conformal mappings, integrals and power series, Laurent series, parametric integrals, integrals of the Cauchy type, analytic continuation, Riemann surfaces, much more. Answers and solutions at end of text. Bibliographical references. 1965 edition.

Mathematics for Social Justice: Resources for the College Classroom

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Author : Gizem Karaali
Publisher : American Mathematical Soc.
ISBN 13 : 1470449269
Total Pages : 277 pages
Book Rating : 4.4/5 (74 download)

Book Synopsis Mathematics for Social Justice: Resources for the College Classroom by : Gizem Karaali

Download or read book Mathematics for Social Justice: Resources for the College Classroom written by Gizem Karaali and published by American Mathematical Soc.. This book was released on 2019-07-09 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics for Social Justice offers a collection of resources for mathematics faculty interested in incorporating questions of social justice into their classrooms. The book begins with a series of essays from instructors experienced in integrating social justice themes into their pedagogy; these essays contain political and pedagogical motivations as well as nuts-and-bolts teaching advice. The heart of the book is a collection of fourteen classroom-tested modules featuring ready-to-use activities and investigations for the college mathematics classroom. The mathematical tools and techniques used are relevant to a wide variety of courses including college algebra, math for the liberal arts, calculus, differential equations, discrete mathematics, geometry, financial mathematics, and combinatorics. The social justice themes include human trafficking, income inequality, environmental justice, gerrymandering, voting methods, and access to education. The volume editors are leaders of the national movement to include social justice material into mathematics teaching. Gizem Karaali is Associate Professor of Mathematics at Pomona College. She is one of the founding editors of The Journal of Humanistic Mathematics, and an associate editor for The Mathematical Intelligencer and Numeracy ; she also serves on the editorial board of the MAA's Carus Mathematical Monographs. Lily Khadjavi is Associate Professor of Mathematics at Loyola Marymount University and is a past co-chair of the Infinite Possibilities Conference. She has served on the boards of Building Diversity in Science, the Barbara Jordan-Bayard Rustin Coalition, and the Harvard Gender and Sexuality Caucus.

Resources for Calculus Collection

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Author : A. W. Roberts
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (612 download)

Book Synopsis Resources for Calculus Collection by : A. W. Roberts

Download or read book Resources for Calculus Collection written by A. W. Roberts and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

A First Course in the Calculus of Variations

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Author : Mark Kot
Publisher : American Mathematical Society
ISBN 13 : 1470414953
Total Pages : 311 pages
Book Rating : 4.4/5 (74 download)

Book Synopsis A First Course in the Calculus of Variations by : Mark Kot

Download or read book A First Course in the Calculus of Variations written by Mark Kot and published by American Mathematical Society. This book was released on 2014-10-06 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended for a first course in the calculus of variations, at the senior or beginning graduate level. The reader will learn methods for finding functions that maximize or minimize integrals. The text lays out important necessary and sufficient conditions for extrema in historical order, and it illustrates these conditions with numerous worked-out examples from mechanics, optics, geometry, and other fields. The exposition starts with simple integrals containing a single independent variable, a single dependent variable, and a single derivative, subject to weak variations, but steadily moves on to more advanced topics, including multivariate problems, constrained extrema, homogeneous problems, problems with variable endpoints, broken extremals, strong variations, and sufficiency conditions. Numerous line drawings clarify the mathematics. Each chapter ends with recommended readings that introduce the student to the relevant scientific literature and with exercises that consolidate understanding.

Counterexamples in Calculus

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Author : Sergiy Klymchuk
Publisher : American Mathematical Soc.
ISBN 13 : 0883857650
Total Pages : 113 pages
Book Rating : 4.8/5 (838 download)

Book Synopsis Counterexamples in Calculus by : Sergiy Klymchuk

Download or read book Counterexamples in Calculus written by Sergiy Klymchuk and published by American Mathematical Soc.. This book was released on 2010-12-31 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: Counterexamples in Calculus serves as a supplementary resource to enhance the learning experience in single variable calculus courses. This book features carefully constructed incorrect mathematical statements that require students to create counterexamples to disprove them. Methods of producing these incorrect statements vary. At times the converse of a well-known theorem is presented. In other instances crucial conditions are omitted or altered or incorrect definitions are employed. Incorrect statements are grouped topically with sections devoted to: Functions, Limits, Continuity, Differential Calculus and Integral Calculus. This book aims to fill a gap in the literature and provide a resource for using counterexamples as a pedagogical tool in the study of introductory calculus.

Advanced Calculus

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Author : Lynn Harold Loomis
Publisher : World Scientific Publishing Company
ISBN 13 : 9814583952
Total Pages : 596 pages
Book Rating : 4.8/5 (145 download)

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.

A First Course in Calculus

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Author : Serge Lang
Publisher : Springer Science & Business Media
ISBN 13 : 1441985328
Total Pages : 741 pages
Book Rating : 4.4/5 (419 download)

Book Synopsis A First Course in Calculus by : Serge Lang

Download or read book A First Course in Calculus written by Serge Lang and published by Springer Science & Business Media. This book was released on 2012-09-17 with total page 741 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fifth edition of Lang's book covers all the topics traditionally taught in the first-year calculus sequence. Divided into five parts, each section of A FIRST COURSE IN CALCULUS contains examples and applications relating to the topic covered. In addition, the rear of the book contains detailed solutions to a large number of the exercises, allowing them to be used as worked-out examples -- one of the main improvements over previous editions.

A Problems Based Course in Advanced Calculus

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Author : John M. Erdman
Publisher : American Mathematical Soc.
ISBN 13 : 1470442469
Total Pages : 360 pages
Book Rating : 4.4/5 (74 download)

Book Synopsis A Problems Based Course in Advanced Calculus by : John M. Erdman

Download or read book A Problems Based Course in Advanced Calculus written by John M. Erdman and published by American Mathematical Soc.. This book was released on 2018-07-09 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is suitable for a course in advanced calculus that promotes active learning through problem solving. It can be used as a base for a Moore method or inquiry based class, or as a guide in a traditional classroom setting where lectures are organized around the presentation of problems and solutions. This book is appropriate for any student who has taken (or is concurrently taking) an introductory course in calculus. The book includes sixteen appendices that review some indispensable prerequisites on techniques of proof writing with special attention to the notation used the course.

From the Calculus to Set Theory 1630-1910

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Author : I. Grattan-Guinness
Publisher : Princeton University Press
ISBN 13 : 0691219664
Total Pages : 318 pages
Book Rating : 4.6/5 (912 download)

Book Synopsis From the Calculus to Set Theory 1630-1910 by : I. Grattan-Guinness

Download or read book From the Calculus to Set Theory 1630-1910 written by I. Grattan-Guinness and published by Princeton University Press. This book was released on 2020-10-06 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the Calculus to Set Theory traces the development of the calculus from the early seventeenth century through its expansion into mathematical analysis to the developments in set theory and the foundations of mathematics in the early twentieth century. It chronicles the work of mathematicians from Descartes and Newton to Russell and Hilbert and many, many others while emphasizing foundational questions and underlining the continuity of developments in higher mathematics. The other contributors to this volume are H. J. M. Bos, R. Bunn, J. W. Dauben, T. W. Hawkins, and K. Møller-Pedersen.

Global Calculus

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Author : S. Ramanan
Publisher : American Mathematical Soc.
ISBN 13 : 0821837028
Total Pages : 330 pages
Book Rating : 4.8/5 (218 download)

Book Synopsis Global Calculus by : S. Ramanan

Download or read book Global Calculus written by S. Ramanan and published by American Mathematical Soc.. This book was released on 2005 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: The power that analysis, topology and algebra bring to geometry has revolutionised the way geometers and physicists look at conceptual problems. Some of the key ingredients in this interplay are sheaves, cohomology, Lie groups, connections and differential operators. In Global Calculus, the appropriate formalism for these topics is laid out with numerous examples and applications by one of the experts in differential and algebraic geometry. Ramanan has chosen an uncommon but natural path through the subject. In this almost completely self-contained account, these topics are developed from scratch. The basics of Fourier transforms, Sobolev theory and interior regularity are proved at the same time as symbol calculus, culminating in beautiful results in global analysis, real and complex. Many new perspectives on traditional and modern questions of differential analysis and geometry are the hallmarks of the book. The book is suitable for a first year graduate course on Global Analysis.

Calculus Problems for a New Century

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Author : Robert Fraga
Publisher :
ISBN 13 :
Total Pages : 302 pages
Book Rating : 4.:/5 (243 download)

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: