Calculus Mysteries And Thrillers


Calculus Mysteries And Thrillers
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Calculus Mysteries And Thrillers


Calculus Mysteries And Thrillers
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Author : R. Grant Woods
language : en
Publisher: MAA
Release Date : 1998

Calculus Mysteries And Thrillers written by R. Grant Woods and has been published by MAA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.


The author presents eleven mathematic problems and their solutions in story form for the reader. The calculus concepts on which the problems are based include; tangent and normal lines, optimization by use of criticla points, inverse trig functions, volumes of solids, surface area integrals, and modeling economic concepts using definite integrals". -- Back cover.



Introduction To Real Analysis


Introduction To Real Analysis
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Author : William C. Bauldry
language : en
Publisher: John Wiley & Sons
Release Date : 2011-09-09

Introduction To Real Analysis written by William C. Bauldry and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-09 with Mathematics categories.


An accessible introduction to real analysis and its connectionto elementary calculus Bridging the gap between the development and history of realanalysis, Introduction to Real Analysis: An EducationalApproach presents a comprehensive introduction to real analysiswhile also offering a survey of the field. With its balance ofhistorical background, key calculus methods, and hands-onapplications, this book provides readers with a solid foundationand fundamental understanding of real analysis. The book begins with an outline of basic calculus, including aclose examination of problems illustrating links and potentialdifficulties. Next, a fluid introduction to real analysis ispresented, guiding readers through the basic topology of realnumbers, limits, integration, and a series of functions in naturalprogression. The book moves on to analysis with more rigorousinvestigations, and the topology of the line is presented alongwith a discussion of limits and continuity that includes unusualexamples in order to direct readers' thinking beyond intuitivereasoning and on to more complex understanding. The dichotomy ofpointwise and uniform convergence is then addressed and is followedby differentiation and integration. Riemann-Stieltjes integrals andthe Lebesgue measure are also introduced to broaden the presentedperspective. The book concludes with a collection of advancedtopics that are connected to elementary calculus, such as modelingwith logistic functions, numerical quadrature, Fourier series, andspecial functions. Detailed appendices outline key definitions and theorems inelementary calculus and also present additional proofs, projects,and sets in real analysis. Each chapter references historicalsources on real analysis while also providing proof-orientedexercises and examples that facilitate the development ofcomputational skills. In addition, an extensive bibliographyprovides additional resources on the topic. Introduction to Real Analysis: An Educational Approach isan ideal book for upper- undergraduate and graduate-level realanalysis courses in the areas of mathematics and education. It isalso a valuable reference for educators in the field of appliedmathematics.



The Calculus Collection


The Calculus Collection
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Author : Caren L. Diefenderfer
language : en
Publisher: American Mathematical Soc.
Release Date : 2010-12-31

The Calculus Collection written by Caren L. Diefenderfer and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-31 with Mathematics categories.


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.



Cameos For Calculus


Cameos For Calculus
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Author : Roger B. Nelsen
language : en
Publisher: American Mathematical Soc.
Release Date : 2015-12-31

Cameos For Calculus written by Roger B. Nelsen and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-31 with Mathematics categories.


A thespian or cinematographer might define a cameo as a brief appearance of a known figure, while a gemologist or lapidary might define it as a precious or semiprecious stone. This book presents fifty short enhancements or supplements (the cameos) for the first-year calculus course in which a geometric figure briefly appears. Some of the cameos illustrate mainstream topics such as the derivative, combinatorial formulas used to compute Riemann sums, or the geometry behind many geometric series. Other cameos present topics accessible to students at the calculus level but not usually encountered in the course, such as the Cauchy-Schwarz inequality, the arithmetic mean-geometric mean inequality, and the Euler-Mascheroni constant. There are fifty cameos in the book, grouped into five sections: Part I. Limits and Differentiation, Part II. Integration, Part III. Infinite Series, Part IV. Additional Topics, and Part V. Appendix: Some Precalculus Topics. Many of the cameos include exercises, so Solutions to all the Exercises follows Part V. The book concludes with references and an index. Many of the cameos are adapted from articles published in journals of the MAA, such as The American Mathematical Monthly, Mathematics Magazine, and The College Mathematics Journal. Some come from other mathematical journals, and some were created for this book. By gathering the cameos into a book the [Author]; hopes that they will be more accessible to teachers of calculus, both for use in the classroom and as supplementary explorations for students.



Calculus


Calculus
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Author : Stephen Hilbert
language : en
Publisher: American Mathematical Soc.
Release Date : 2010-12-31

Calculus written by Stephen Hilbert and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-31 with Mathematics categories.


This volume contains student and instructor material for the delivery of a two-semester calculus sequence at the undergraduate level. It can be used in conjunction with any textbook. It was written with the view that students who are actively involved inside and outside the classroom are more likely to succeed, develop deeper conceptual understanding, and retain knowledge than students who are passive recipients of information. Calculus: An Active Approach with Projects contains two main student sections. The first contains activities usually done in class, individually or in groups. Many of the activities allow students to participate in the development of central calculus ideas. The second section contains longer projects where students work in groups outside the classroom. These projects may involve material already presented, motivate concepts, or introduce supplementary topics. Instructor materials contained in the volume include comments and notes on each project and activity, guidelines on their implementation, and a sample curriculum which incorporates a collection of activities and projects.



Advanced Calculus Of Murder


Advanced Calculus Of Murder
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Author : Erik Rosenthal
language : en
Publisher: St Martins Press
Release Date : 1988-01-01

Advanced Calculus Of Murder written by Erik Rosenthal and has been published by St Martins Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-01-01 with Fiction categories.


Mathematician sleuth Dan Brodsky becomes embroiled, once again, in murder when a fellow participant in a conference at Oxford University is killed and close friend, Paul Hobart, is accused of the crime



Counterexamples In Calculus


Counterexamples In Calculus
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Author : Sergiy Klymchuk
language : en
Publisher: American Mathematical Soc.
Release Date : 2010-12-31

Counterexamples In Calculus written by Sergiy Klymchuk and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-31 with Mathematics categories.


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.



The Heart Of Calculus


The Heart Of Calculus
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Author : Philip M. Anselone
language : en
Publisher: American Mathematical Soc.
Release Date : 2015-12-31

The Heart Of Calculus written by Philip M. Anselone and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-31 with Mathematics categories.


This book contains enrichment material for courses in first and second year calculus, differential equations, modeling, and introductory real analysis. It targets talented students who seek a deeper understanding of calculus and its applications. The book can be used in honors courses, undergraduate seminars, independent study, capstone courses taking a fresh look at calculus, and summer enrichment programs. The book develops topics from novel and/or unifying perspectives. Hence, it is also a valuable resource for graduate teaching assistants developing their academic and pedagogical skills and for seasoned veterans who appreciate fresh perspectives. The explorations, problems, and projects in the book impart a deeper understanding of and facility with the mathematical reasoning that lies at the heart of calculus and conveys something of its beauty and depth. A high level of rigor is maintained. However, with few exceptions, proofs depend only on tools from calculus and earlier. Analytical arguments are carefully structured to avoid epsilons and deltas. Geometric and/or physical reasoning motivates challenging analytical discussions. Consequently, the presentation is friendly and accessible to students at various levels of mathematical maturity. Logical reasoning skills at the level of proof in Euclidean geometry suffice for a productive use of the book.



Paradoxes And Sophisms In Calculus


Paradoxes And Sophisms In Calculus
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Author : Sergiy Klymchuk
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-12-31

Paradoxes And Sophisms In Calculus written by Sergiy Klymchuk and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-31 with Mathematics categories.


Paradoxes and Sophisms in Calculus offers a delightful supplementary resource to enhance the study of single variable calculus. By the word paradox the [Author];s mean a surprising, unexpected, counter-intuitive statement that looks invalid, but in fact is true. The word sophism describes intentionally invalid reasoning that looks formally correct, but in fact contains a subtle mistake or flaw. In other words, a sophism is a false proof of an incorrect statement. A collection of over fifty paradoxes and sophisms showcases the subtleties of this subject and leads students to contemplate the underlying concepts. A number of the examples treat historically significant issues that arose in the development of calculus, while others more naturally challenge readers to understand common misconceptions. Sophisms and paradoxes from the areas of functions, limits, derivatives, integrals, sequences, and series are explored.



The Calculus Of Murder


The Calculus Of Murder
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Author : Erik Rosenthal
language : en
Publisher: Orion
Release Date : 1986

The Calculus Of Murder written by Erik Rosenthal and has been published by Orion this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with categories.