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Visualizing Calculus
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Book Synopsis Cameos for Calculus by : Roger B. Nelsen
Download or read book Cameos for Calculus written by Roger B. Nelsen and published by American Mathematical Soc.. This book was released on 2015-12-31 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Visualizing Mathematics with 3D Printing by : Henry Segerman
Download or read book Visualizing Mathematics with 3D Printing written by Henry Segerman and published by JHU Press. This book was released on 2016-10-04 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first book to explain mathematics using 3D printed models. Winner of the Technical Text of the Washington Publishers Wouldn’t it be great to experience three-dimensional ideas in three dimensions? In this book—the first of its kind—mathematician and mathematical artist Henry Segerman takes readers on a fascinating tour of two-, three-, and four-dimensional mathematics, exploring Euclidean and non-Euclidean geometries, symmetry, knots, tilings, and soap films. Visualizing Mathematics with 3D Printing includes more than 100 color photographs of 3D printed models. Readers can take the book’s insights to a new level by visiting its sister website, 3dprintmath.com, which features virtual three-dimensional versions of the models for readers to explore. These models can also be ordered online or downloaded to print on a 3D printer. Combining the strengths of book and website, this volume pulls higher geometry and topology out of the realm of the abstract and puts it into the hands of anyone fascinated by mathematical relationships of shape. With the book in one hand and a 3D printed model in the other, readers can find deeper meaning while holding a hyperbolic honeycomb, touching the twists of a torus knot, or caressing the curves of a Klein quartic.
Book Synopsis VISUALIZING CALCULUS BY WAY OF MAPLE: AN EMPHASIS ON PROBLEM SOLVING by : Nadia Benakli
Download or read book VISUALIZING CALCULUS BY WAY OF MAPLE: AN EMPHASIS ON PROBLEM SOLVING written by Nadia Benakli and published by McGraw-Hill Education. This book was released on 2011-04-19 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Getting started with maple. An introduction on maple commands. Limits. Derivatives. Graphs of function using limits and derivatives. Applications of differentiation.
Book Synopsis A Visual Introduction to Differential Forms and Calculus on Manifolds by : Jon Pierre Fortney
Download or read book A Visual Introduction to Differential Forms and Calculus on Manifolds written by Jon Pierre Fortney and published by Springer. This book was released on 2018-11-03 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explains and helps readers to develop geometric intuition as it relates to differential forms. It includes over 250 figures to aid understanding and enable readers to visualize the concepts being discussed. The author gradually builds up to the basic ideas and concepts so that definitions, when made, do not appear out of nowhere, and both the importance and role that theorems play is evident as or before they are presented. With a clear writing style and easy-to- understand motivations for each topic, this book is primarily aimed at second- or third-year undergraduate math and physics students with a basic knowledge of vector calculus and linear algebra.
Book Synopsis Visualizing Calculus by : Clarence Hopper
Download or read book Visualizing Calculus written by Clarence Hopper and published by Dale Seymour Publication. This book was released on 1997-02-01 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nervous about using the programmable calculator in your calculus course? Here is a valuable resource designed for teachers, not programmers. Visualizing Calculus: Powerful Programs for Graphing Calculators delves deep into calculus, covering a broad range of topics that span the entire calculus course, not just particular units. Students enter these powerful programs into their calculator, and then use problem sets to explore the various functions in calculus and investigate and compare the data produced. The authors provide programs for a wide array of calculators, making this a useful book for almost any student using a graphing calculator today!
Book Synopsis Calculus Visualizing Differential Equations with Slope Fields by : Alan Lipp
Download or read book Calculus Visualizing Differential Equations with Slope Fields written by Alan Lipp and published by Peoples Publishing Group Incorporated. This book was released on 2005-01-01 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Visualizing Quaternions by : Andrew J. Hanson
Download or read book Visualizing Quaternions written by Andrew J. Hanson and published by Elsevier. This book was released on 2006-02-06 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduced 160 years ago as an attempt to generalize complex numbers to higher dimensions, quaternions are now recognized as one of the most important concepts in modern computer graphics. They offer a powerful way to represent rotations and compared to rotation matrices they use less memory, compose faster, and are naturally suited for efficient interpolation of rotations. Despite this, many practitioners have avoided quaternions because of the mathematics used to understand them, hoping that some day a more intuitive description will be available.The wait is over. Andrew Hanson's new book is a fresh perspective on quaternions. The first part of the book focuses on visualizing quaternions to provide the intuition necessary to use them, and includes many illustrative examples to motivate why they are important—a beautiful introduction to those wanting to explore quaternions unencumbered by their mathematical aspects. The second part covers the all-important advanced applications, including quaternion curves, surfaces, and volumes. Finally, for those wanting the full story of the mathematics behind quaternions, there is a gentle introduction to their four-dimensional nature and to Clifford Algebras, the all-encompassing framework for vectors and quaternions. - Richly illustrated introduction for the developer, scientist, engineer, or student in computer graphics, visualization, or entertainment computing. - Covers both non-mathematical and mathematical approaches to quaternions.
Book Synopsis Modeling and Simulation of Everyday Things by : Michael W. Roth
Download or read book Modeling and Simulation of Everyday Things written by Michael W. Roth and published by CRC Press. This book was released on 2018-03-29 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: How can computer modeling and simulation tools be used to understand and analyze common situations and everyday problems? Readers will find here an easy-to-follow, enjoyable introduction for anyone even with little background training. Examples are incorporated throughout to stimulate interest and engage the reader. Build the necessary skillsets with operating systems, editing, languages, commands, and visualization. Obtain hands-on examples from sports, accidents, and disease to problems of heat transfer, fluid flow, waves, and groundwater flow. Includes discussion of parallel computing and graphics processing units. This introductory, practical guide is suitable for students at any level up to professionals looking to use modeling and simulation to help solve basic to more advanced problems. Michael W. Roth, PhD, serves as Dean of the School of STEM and Business at Hawkeye Community College in Waterloo, Iowa. He was most recently Chair for three years at Northern Kentucky University's Department of Physics, Geology and Engineering Technology, and holds several awards for teaching excellence.
Book Synopsis Visualization in Mathematics, Reading and Science Education by : Linda M. Phillips
Download or read book Visualization in Mathematics, Reading and Science Education written by Linda M. Phillips and published by Springer Science & Business Media. This book was released on 2010-09-02 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: Science education at school level worldwide faces three perennial problems that have become more pressing of late. These are to a considerable extent interwoven with concerns about the entire school curriculum and its reception by students. The rst problem is the increasing intellectual isolation of science from the other subjects in the school curriculum. Science is too often still taught didactically as a collection of pre-determined truths about which there can be no dispute. As a con- quence, many students do not feel any “ownership” of these ideas. Most other school subjects do somewhat better in these regards. For example, in language classes, s- dents suggest different interpretations of a text and then debate the relative merits of the cases being put forward. Moreover, ideas that are of use in science are presented to students elsewhere and then re-taught, often using different terminology, in s- ence. For example, algebra is taught in terms of “x, y, z” in mathematics classes, but students are later unable to see the relevance of that to the meaning of the universal gas laws in physics, where “p, v, t” are used. The result is that students are c- fused and too often alienated, leading to their failure to achieve that “extraction of an education from a scheme of instruction” which Jerome Bruner thought so highly desirable.
Book Synopsis Visualizing Visualization by : T. J. Jankun-Kelly
Download or read book Visualizing Visualization written by T. J. Jankun-Kelly and published by . This book was released on 2003 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Visualizing Calculus with Mathematica by : Martha J. Atkins Turner
Download or read book Visualizing Calculus with Mathematica written by Martha J. Atkins Turner and published by . This book was released on 1991 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Pythagorean Theorem by : Eli Maor
Download or read book The Pythagorean Theorem written by Eli Maor and published by Princeton University Press. This book was released on 2019-11-19 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: An exploration of one of the most celebrated and well-known theorems in mathematics By any measure, the Pythagorean theorem is the most famous statement in all of mathematics. In this book, Eli Maor reveals the full story of this ubiquitous geometric theorem. Although attributed to Pythagoras, the theorem was known to the Babylonians more than a thousand years earlier. Pythagoras may have been the first to prove it, but his proof—if indeed he had one—is lost to us. The theorem itself, however, is central to almost every branch of science, pure or applied. Maor brings to life many of the characters that played a role in its history, providing a fascinating backdrop to perhaps our oldest enduring mathematical legacy.
Book Synopsis Visualization and Mathematics by : H.-C. Hege
Download or read book Visualization and Mathematics written by H.-C. Hege and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: Visualization and mathematics have begun a fruitful relationship, establishing links between problems and solutions of both fields. In some areas of mathematics, like differential geometry and numerical mathematics, visualization techniques are applied with great success. However, visualization methods are relying heavily on mathematical concepts. Applications of visualization in mathematical research and the use of mathematical methods in visualization have been topic of an international workshop in Berlin in June 1995. Selected contributions treat topics of particular interest in current research. Experts are reporting on their latest work, giving an overview on this fascinating new area. The reader will get insight to state-of-the-art techniques for solving visualization problems and mathematical questions.
Book Synopsis Visual Complex Analysis by : Tristan Needham
Download or read book Visual Complex Analysis written by Tristan Needham and published by Oxford University Press. This book was released on 1997 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: This radical first course on complex analysis brings a beautiful and powerful subject to life by consistently using geometry (not calculation) as the means of explanation. Aimed at undergraduate students in mathematics, physics, and engineering, the book's intuitive explanations, lack of advanced prerequisites, and consciously user-friendly prose style will help students to master the subject more readily than was previously possible. The key to this is the book's use of new geometric arguments in place of the standard calculational ones. These geometric arguments are communicated with the aid of hundreds of diagrams of a standard seldom encountered in mathematical works. A new approach to a classical topic, this work will be of interest to students in mathematics, physics, and engineering, as well as to professionals in these fields.
Book Synopsis The Complete Idiot's Guide to Calculus by : W. Michael Kelley
Download or read book The Complete Idiot's Guide to Calculus written by W. Michael Kelley and published by Penguin. This book was released on 2006 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let's face it- most students don't take calculus because they find it intellectually stimulating. It's not . . . at least for those who come up on the wrong side of the bell curve! There they are, minding their own business, working toward some non-science related degree, when . . . BLAM! They get next semester's course schedule in the mail, and first on the list is the mother of all loathed college courses . . . CALCULUS! Not to fear-The Complete Idiot's Guide to Calculus, Second Edition, like its predecessor, is a curriculum-based companion book created with this audience in mind. This new edition continues the tradition of taking the sting out of calculus by adding more explanatory graphs and illustrations and doubling the number of practice problems! By the time readers are finished, they will have a solid understanding (maybe even a newfound appreciation) for this useful form of math. And with any luck, they may even be able to make sense of their textbooks and teachers.
Book Synopsis Mathematical Visualization by : H.-C. Hege
Download or read book Mathematical Visualization written by H.-C. Hege and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Visualization is a young new discipline. It offers efficient visualization tools to the classical subjects of mathematics, and applies mathematical techniques to problems in computer graphics and scientific visualization. Originally, it started in the interdisciplinary area of differential geometry, numerical mathematics, and computer graphics. In recent years, the methods developed have found important applications. The current volume is the quintessence of an international workshop in September 1997 in Berlin, focusing on recent developments in this emerging area. Experts present selected research work on new algorithms for visualization problems, describe the application and experiments in geometry, and develop new numerical or computer graphical techniques.
Book Synopsis Immersive Environments, Augmented Realities, and Virtual Worlds: Assessing Future Trends in Education by : DAgustino, Steven
Download or read book Immersive Environments, Augmented Realities, and Virtual Worlds: Assessing Future Trends in Education written by DAgustino, Steven and published by IGI Global. This book was released on 2012-12-31 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: Technology has had direct impact on education in increasing the way that society continues to learn. Applications of immersive environments, virtual worlds, and augmented reality have significant implications for how teaching and learning are achieved in contemporary education. Immersive Environments, Augmented Realities and Virtual Worlds: Assessing Future Trends in Education brings together current research and performance in trends in education. While examining cyber behavior and the use of virtual worlds, immersive technologies and augmented realities aim to improve teaching and enhancing learning.
