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Insight Into Calculus
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Book Synopsis Insight Into Calculus by : Frank Ward
Download or read book Insight Into Calculus written by Frank Ward and published by Pearson. This book was released on 1996-10 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: For calculus courses requiring the use of graphing calculators. The main purpose of the projects in this book is to help students gain a better understanding of calculus through a guided discovery approach. The book is designed to help students develop the skills of thinking analytically, recognizing patterns, forming conclusions, and organizing results in a clear manner.
Book Synopsis Insights Into Calculus with the Graphics Calculator by : Roland E. Larson
Download or read book Insights Into Calculus with the Graphics Calculator written by Roland E. Larson and published by Cengage Learning. This book was released on 1993 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: This useful laboratory manual facilitates the use of graphics calculators to expand students' conceptual understanding of calculus. Designed to enhance any calculus text, the manual's 360 exercises provide discussions of key topics, over 110 examples, and more than 300 figures taken directly from graphics calculator displays. The first exercise introduces students to the use of graphics calculators using TI-81 notation, but nearly all the techniques can easily be used with any graphics calculator. All exercise sets are calculator-independent. Programs for eight specific types of calculations, from approximating zeros to finding the sum of a series, are incorporated throughout the text. The programs are also listed, in TI-81, TI-85, and Sharp 9200-9300 formats, in an appendix.
Book Synopsis Basic Insights In Vector Calculus: With A Supplement On Mathematical Understanding by : Terrance J Quinn
Download or read book Basic Insights In Vector Calculus: With A Supplement On Mathematical Understanding written by Terrance J Quinn and published by World Scientific. This book was released on 2020-07-24 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Basic Insights in Vector Calculus provides an introduction to three famous theorems of vector calculus, Green's theorem, Stokes' theorem and the divergence theorem (also known as Gauss's theorem). Material is presented so that results emerge in a natural way. As in classical physics, we begin with descriptions of flows.The book will be helpful for undergraduates in Science, Technology, Engineering and Mathematics, in programs that require vector calculus. At the same time, it also provides some of the mathematical background essential for more advanced contexts which include, for instance, the physics and engineering of continuous media and fields, axiomatically rigorous vector analysis, and the mathematical theory of differential forms.There is a Supplement on mathematical understanding. The approach invites one to advert to one's own experience in mathematics and, that way, identify elements of understanding that emerge in all levels of learning and teaching.Prerequisites are competence in single-variable calculus. Some familiarity with partial derivatives and the multi-variable chain rule would be helpful. But for the convenience of the reader we review essentials of single- and multi-variable calculus needed for the three main theorems of vector calculus.Carefully developed Problems and Exercises are included, for many of which guidance or hints are provided.
Book Synopsis Peirce and Husserl: Mutual Insights on Logic, Mathematics and Cognition by : Mohammad Shafiei
Download or read book Peirce and Husserl: Mutual Insights on Logic, Mathematics and Cognition written by Mohammad Shafiei and published by Springer Nature. This book was released on 2019-10-05 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume aims to provide the elements for a systematic exploration of certain fundamental notions of Peirce and Husserl in respect with foundations of science by means of drawing a parallelism between their works. Tackling a largely understudied comparison between these two contemporary philosophers, the authors highlight the significant similarities in some of their fundamental ideas. This volume consists of eleven chapters under four parts. The first part concerns methodologies and main principles of the two philosophers. An introductory chapter outlines central historical and systematical themes arising out of the recent scholarship on Peirce and Husserl. The second part is on logic, its Chapters dedicated to the topics from Peirce’s Existential Graphs and the philosophy of notation to Husserl’s notions of pure logic and transcendental logic. The third part includes contributions on philosophy of mathematics. Chapters in the final part deal with the theory of cognition, consciousness and intentionality. The closing chapter provides an extended glossary of central terms of Peirce’s theory of phaneroscopy, explaining them from the viewpoint of the theory of cognition.
Download or read book Calculus III written by Jerrold Marsden and published by Springer. This book was released on 1985 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of this text is to help students learn to use calculus intelligently for solving a wide variety of mathematical and physical problems. This book is an outgrowth of our teaching of calculus at Berkeley, and the present edition incorporates many improvements based on our use of the first edition. We list below some of the key features of the book. Examples and Exercises The exercise sets have been carefully constructed to be of maximum use to the students. With few exceptions we adhere to the following policies ." The section exercises are graded into three consecutive groups: (a) The first exercises are routine, modelled almost exactly on the examƯ ples; these are intended to give students confidence. (b) Next come exercises that are still based directly on the examples and text but which may have variations of wording or which combine different ideas; these are intended to train students to think for themselves. (c) The last exercises in each set are difficult. These are marked with a star (*) and some will challenge even the best studep, ts. Difficult does not necessarily mean theoretical; often a starred problem is an interesting application that requires insight into what calculus is really about." The exercises come in groups of two and often four similar ones.
Book Synopsis Mathematics for Computer Graphics by : John Vince
Download or read book Mathematics for Computer Graphics written by John Vince and published by Springer Science & Business Media. This book was released on 2005-12-19 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a concise and informal introductory book on the mathematical concepts that underpin computer graphics. The author, John Vince, makes the concepts easy to understand, enabling non-experts to come to terms with computer animation work. The book complements the author's other works and is written in the same accessible and easy-to-read style. It is also a useful reference book for programmers working in the field of computer graphics, virtual reality, computer animation, as well as students on digital media courses, and even mathematics courses.
Book Synopsis Elementary Analysis by : Kenneth A. Ross
Download or read book Elementary Analysis written by Kenneth A. Ross and published by CUP Archive. This book was released on 2014-01-15 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :Robert T. Smith Publisher :McGraw-Hill Science, Engineering & Mathematics ISBN 13 :9780072869651 Total Pages : pages Book Rating :4.8/5 (696 download)
Book Synopsis Insights Into Calculus Using Derive by : Robert T. Smith
Download or read book Insights Into Calculus Using Derive written by Robert T. Smith and published by McGraw-Hill Science, Engineering & Mathematics. This book was released on 2005-12-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Research in History and Philosophy of Mathematics by : Maria Zack
Download or read book Research in History and Philosophy of Mathematics written by Maria Zack and published by Springer. This book was released on 2018-09-14 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains thirteen papers that were presented at the 2017 Annual Meeting of the Canadian Society for History and Philosophy of Mathematics/Société canadienne d’histoire et de philosophie des mathématiques, which was held at Ryerson University in Toronto. It showcases rigorously reviewed modern scholarship on an interesting variety of topics in the history and philosophy of mathematics from Ancient Greece to the twentieth century. A series of chapters all set in the eighteenth century consider topics such as John Marsh’s techniques for the computation of decimal fractions, Euler’s efforts to compute the surface area of scalene cones, a little-known work by John Playfair on the practical aspects of mathematics, and Monge’s use of descriptive geometry. After a brief stop in the nineteenth century to consider the culture of research mathematics in 1860s Prussia, the book moves into the twentieth century with an examination of the historical context within which the Axiom of Choice was developed and a paper discussing Anatoly Vlasov’s adaptation of the Boltzmann equation to ionized gases. The remaining chapters deal with the philosophy of twentieth-century mathematics through topics such as an historically informed discussion of finitism and its limits; a reexamination of Mary Leng’s defenses of mathematical fictionalism through an alternative, anti-realist approach to mathematics; and a look at the reasons that mathematicians select specific problems to pursue. Written by leading scholars in the field, these papers are accessible to not only mathematicians and students of the history and philosophy of mathematics, but also anyone with a general interest in mathematics.
Book Synopsis How to Ace Calculus by : Colin Adams
Download or read book How to Ace Calculus written by Colin Adams and published by Times Books. This book was released on 2015-10-06 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by three gifted-and funny-teachers, How to Ace Calculus provides humorous and readable explanations of the key topics of calculus without the technical details and fine print that would be found in a more formal text. Capturing the tone of students exchanging ideas among themselves, this unique guide also explains how calculus is taught, how to get the best teachers, what to study, and what is likely to be on exams-all the tricks of the trade that will make learning the material of first-semester calculus a piece of cake. Funny, irreverent, and flexible, How to Ace Calculus shows why learning calculus can be not only a mind-expanding experience but also fantastic fun.
Book Synopsis Infinite Powers by : Steven Strogatz
Download or read book Infinite Powers written by Steven Strogatz and published by Eamon Dolan Books. This book was released on 2019 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: From preeminent math personality and author of The Joy of x, a brilliant and endlessly appealing explanation of calculus - how it works and why it makes our lives immeasurably better. Without calculus, we wouldn't have cell phones, TV, GPS, or ultrasound. We wouldn't have unraveled DNA or discovered Neptune or figured out how to put 5,000 songs in your pocket. Though many of us were scared away from this essential, engrossing subject in high school and college, Steven Strogatz's brilliantly creative, down‑to‑earth history shows that calculus is not about complexity; it's about simplicity. It harnesses an unreal number--infinity--to tackle real‑world problems, breaking them down into easier ones and then reassembling the answers into solutions that feel miraculous. Infinite Powers recounts how calculus tantalized and thrilled its inventors, starting with its first glimmers in ancient Greece and bringing us right up to the discovery of gravitational waves (a phenomenon predicted by calculus). Strogatz reveals how this form of math rose to the challenges of each age: how to determine the area of a circle with only sand and a stick; how to explain why Mars goes "backwards" sometimes; how to make electricity with magnets; how to ensure your rocket doesn't miss the moon; how to turn the tide in the fight against AIDS. As Strogatz proves, calculus is truly the language of the universe. By unveiling the principles of that language, Infinite Powers makes us marvel at the world anew.
Download or read book Learning Mathematics written by Paul Cobb and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume emphasizes students' inferred mathematical experiences as the starting point in the theory-building process. The book addresses conceptual constructions, including multiplicative notions, fractions, algebra, and the fundamental theorem of calculus, and theoretical constructs such as the crucial role of language and symbols, and the importance of dynamic imagery.
Book Synopsis Elementary Calculus by : H. Jerome Keisler
Download or read book Elementary Calculus written by H. Jerome Keisler and published by Orange Groove Books. This book was released on 2009-09-01 with total page 992 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Calculus Made Easy by : Silvanus Phillips Thompson
Download or read book Calculus Made Easy written by Silvanus Phillips Thompson and published by Read Books Ltd. This book was released on 2011-03-23 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus Made Easy by Silvanus Phillips Thompson is an accessible and engaging introduction to the fundamental principles of calculus, offering readers a clear and simplified approach to understanding this essential branch of mathematics. Calculus Made Easy by Silvanus Phillips Thompson is a timeless classic that makes the complex world of calculus accessible to students and learners of all levels. This book serves as a comprehensive guide to the core concepts and techniques of calculus, presented in a manner that is easy to grasp and enjoyable to read. The book begins by providing readers with a user-friendly introduction to the basic principles of calculus, offering insights into its historical development and significance in mathematics and science. Silvanus Phillips Thompson's clear and engaging explanations set the stage for a deeper exploration of this essential subject. Central to the book is the presentation of calculus concepts, including differentiation and integration, in a simplified and intuitive manner. Readers will find practical examples, step-by-step explanations, and exercises that facilitate learning and problem-solving. Furthermore, the book emphasizes the real-world applications of calculus, illustrating how it is used in various fields, from physics and engineering to economics and biology. It highlights the practical relevance of calculus in solving everyday problems and making informed decisions. Calculus Made Easy is not only a textbook but also a friendly companion on the journey to mastering calculus. It encourages readers to overcome the fear of complex mathematics and discover the beauty and utility of calculus in a straightforward and enjoyable way.
Book Synopsis Insights into Medicine and Surgery by : John Raffensperger
Download or read book Insights into Medicine and Surgery written by John Raffensperger and published by Cambridge Scholars Publishing. This book was released on 2022-01-10 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores aspects of medical history that are usually overlooked by medical historians. It begins with anthropologic literature and accounts of the early explorers which describe sophisticated medical treatments and wound care by Native Americans that were superior to European practices at the time. The book also shows that the Samhita Sushruta, an ancient Indian medical text, and one of Socrates’ dialogues answer the age-old question of Hippocrates’ dictum against abortion and operating for bladder stones. It then dwells at length on the University of Edinburgh, the shining center of medical education from the Middle Ages to the 20th century, and provides biographical sketches to trace the history of American surgery from the early 19th century to the age of surgical staplers and minimally invasive operations. In addition, the book details the author’s experience with the greedy for-profit health care system and super specialization, providing the basis for suggestions to reform medical education and a not-for-profit, universal, non-governmental, regionalized system for the delivery of health care. Overall, the book will enhance the education of medical students and appeal to physicians with an interest in history.
Book Synopsis Dreams of Calculus by : Johan Hoffman
Download or read book Dreams of Calculus written by Johan Hoffman and published by Springer Science & Business Media. This book was released on 2011-06-27 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: A first-class debate book on the crucial issues of current mathematics teaching The authors offer startling evidence that computers are changing mathematics in a profound way Raises the question of how to alter teaching in mathermatics as a result of the computer's influence on the field
Book Synopsis Advanced Educational Technologies for Mathematics and Science by : David L. Ferguson
Download or read book Advanced Educational Technologies for Mathematics and Science written by David L. Ferguson and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the outgrowth of a NATO Advanced Research Workshop, held in Milton Keynes (United Kingdom) in the summer of 1990. The workshop brought together about 30 world leaders in the use of advanced technologies in the teaching of mathematics and science. Many of these participants commented that the workshop was one of the more productive and exciting workshops that they had attended. It was not uncommon to see participants engaged in informal discussion far into the evenings and early mornings, long after formal sessions had ended. It is my hope that this book captures the substance and excitement of many of the ideas that were presented at the workshop. Indeed, the process by which this book has come about has given every opportunity for the best thinking to get reflected here. Participants wrote papers prior to the workshop. After the workshop, participants revised the papers at least once. In a few instances, three versions of papers were written. Some participants could not resist the urge to incorporate descriptions of some of the newer developments in their projects. The papers in this book demonstrate how technology is impacting our view of what should be taught, what can be taught, and how we should go about teaching in the various disciplines. As such, they offer great insight into the central issues of teaching and learning in a wide range of disciplines and across many grade levels (ranging from elementary school through undergraduate college education).
