Calculus

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A Course In Calculus And Real Analysis

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Author : Sudhir R. Ghorpade
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-10-14

A Course In Calculus And Real Analysis written by Sudhir R. Ghorpade and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-10-14 with Mathematics categories.

This book provides a self-contained and rigorous introduction to calculus of functions of one variable, in a presentation which emphasizes the structural development of calculus. Throughout, the authors highlight the fact that calculus provides a firm foundation to concepts and results that are generally encountered in high school and accepted on faith; for example, the classical result that the ratio of circumference to diameter is the same for all circles. A number of topics are treated here in considerable detail that may be inadequately covered in calculus courses and glossed over in real analysis courses.

The History Of The Calculus And Its Conceptual Development

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Author : Carl B. Boyer
language : en
Publisher: Courier Corporation
Release Date : 2012-10-09

The History Of The Calculus And Its Conceptual Development written by Carl B. Boyer and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-09 with Mathematics categories.

Fluent description of the development of both the integral and differential calculus — its early beginnings in antiquity, medieval contributions, and a consideration of Newton and Leibniz.

Fundamentals Of Calculus

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Author : Carla C. Morris
language : en
Publisher: John Wiley & Sons
Release Date : 2015-08-10

Fundamentals Of Calculus written by Carla C. Morris 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 2015-08-10 with Mathematics categories.

Features the techniques, methods, and applications of calculus using real-world examples from business and economics as well as the life and social sciences An introduction to differential and integral calculus, Fundamentals of Calculus presents key topics suited for a variety of readers in fields ranging from entrepreneurship and economics to environmental and social sciences. Practical examples from a variety of subject areas are featured throughout each chapter and step-by-step explanations for the solutions are presented. Specific techniques are also applied to highlight important information in each section, including symbols interspersed throughout to further reader comprehension. In addition, the book illustrates the elements of finite calculus with the varied formulas for power, quotient, and product rules that correlate markedly with traditional calculus. Featuring calculus as the “mathematics of change,” each chapter concludes with a historical notes section. Fundamentals of Calculus chapter coverage includes: Linear Equations and Functions The Derivative Using the Derivative Exponents and Logarithms Differentiation Techniques Integral Calculus Integrations Techniques Functions of Several Variables Series and Summations Applications to Probability Supplemented with online instructional support materials, Fundamentals of Calculus is an ideal textbook for undergraduate students majoring in business, economics, biology, chemistry, and environmental science.

Calculus

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Author : Deborah Hughes-Hallett
language : en
Publisher: John Wiley & Sons
Release Date : 2020-11-10

Calculus written by Deborah Hughes-Hallett 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 2020-11-10 with Mathematics categories.

The Calculus Consortium's focus on the “Rule of Four” (viewing problems graphically, numerically, symbolically, and verbally) has become an integral part of teaching calculus in a way that promotes critical thinking to reveal solutions to mathematical problems. Their approach reinforces the conceptual understanding necessary to reduce complicated problems to simple procedures without losing sight of the practical value of mathematics. In this edition, the authors continue their focus on introducing different perspectives for students with an increased emphasis on active learning in a ‘flipped’ classroom. The 8th edition of Calculus: Single and Multivariable features a variety of problems with applications from the physical sciences, health, biology, engineering, and economics, allowing for engagement across multiple majors. The Consortium brings Calculus to (real) life with current, relevant examples and a focus on active learning.

Calculus For Cranks

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Author : Nets Hawk Katz
language : en
Publisher: Yale University Press
Release Date : 2021-01-26

Calculus For Cranks written by Nets Hawk Katz and has been published by Yale University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-26 with Calculus categories.

A new approach to the foundations of single variable calculus, based on the introductory course taught at Caltech In mathematics, "cranks" are people who insist they understand something new about math even when the world tells them they are doing it wrong. This introduction to calculus is written with those cranks in mind, based on the foundational course that Nets Katz teaches at Caltech. It emphasizes the practical purposes of the foundations, such as tracking errors in calculations. In addition to covering the basics of single variable calculus, the book outlines the mathematical method--the ability to express oneself with absolute precision and then to use logical proofs to establish that certain statements are universally true. Katz emphasizes conceptual clarity, as well as testing hypotheses and writing complete proofs. The result is a rigorous calculus book of use not only to future mathematicians but also to scientists and engineers.

Differential Calculus For Beginners

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Author : Joseph Edwards
language : en
Publisher:
Release Date : 1893

Differential Calculus For Beginners written by Joseph Edwards and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1893 with Differential calculus categories.

Basic Insights In Vector Calculus With A Supplement On Mathematical Understanding

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Author : Terrance J Quinn
language : en
Publisher: World Scientific
Release Date : 2020-07-24

Basic Insights In Vector Calculus With A Supplement On Mathematical Understanding written by Terrance J Quinn and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-24 with Mathematics categories.

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.

Introduction To Calculus

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Author : John Clark
language : en
Publisher: Wolfram eTextbook Series
Release Date : 2024-07-30

Introduction To Calculus written by John Clark and has been published by Wolfram eTextbook Series this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-30 with Mathematics categories.

A comprehensive introduction to fundamental concepts in calculus and their applications, covering all of Calculus 1 and some of Calculus 2

Differential Calculus

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Author : S Balachandra Rao
language : en
Publisher: New Age International
Release Date : 1992

Differential Calculus written by S Balachandra Rao and has been published by New Age International this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Calculus categories.

This Book Is Designed To Be Used For Class-Room Teaching For A Course In Differential Calculus At The Undergraduate Level And Also As A Reference Book For Others Who Need The Use Of Differential Calculus. The Book Is Designed In Accordance With The Syllabus In Differential Calculus Prescribed In Most Of The Indian Universities.The Following Are Some Of The Special Features Of This Textbook: * In Addition To The Theoretical Treatment Of The Topics In Differential Calculus, Due Respect Is Given To Application-Oriented Approach Through Various Illustrations And Exercises Drawn From Practical Sciences. * The Graphical And Numerical Approach Provided In The Text Enhances The Appreciation And Understanding Of The Concepts Involved. * A Large Number Of Worked Examples And Exercises, With Answers, Drawn From Various Examination Papers Of Indian And Foreign Universities Are Included. * Biographical Notes And Historical Snippets Have Been Added With A View To Motivating And Inspiring The Students. Brief Life-Sketches And Contributions Of Great Mathematicians Like Sir Isaac Newton And Leibniz Form Part Of The Book. * The Unique And Pioneering Aspect Of The Present Book Is That A Large Number Of Computer Programs And Graphic Printouts For Various Topics Indifferential Calculus Are Included. The Fascinating Potential Of Graphics, For The Understanding Of Calculus, On A Computer Is Well Brought Out Through Computer Programs Which Can Be Readily Worked On An Ibm-Compatible Pc. Further, In Order To Make The Programs Useful To Students And Amateurs Who Have Access Only To The Popular Home-Computers Interesting Programs Which Can Be, Run On The Very Popular Bbc Microcomputer And Sinclair Spectrum Have Also Been Provided.Very Interesting Graphics Of Evolutes Of Famous Curves And Envelopes Of Families Of Curves Along With Their Ready-To-Work Programs Add To The Value Of The Book.

Everyday Calculus

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Author : Oscar E. Fernandez
language : en
Publisher: Princeton University Press
Release Date : 2017-03-07

Everyday Calculus written by Oscar E. Fernandez and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-07 with Mathematics categories.

A fun look at calculus in our everyday lives Calculus. For some of us, the word conjures up memories of ten-pound textbooks and visions of tedious abstract equations. And yet, in reality, calculus is fun and accessible, and surrounds us everywhere we go. In Everyday Calculus, Oscar Fernandez demonstrates that calculus can be used to explore practically any aspect of our lives, including the most effective number of hours to sleep and the fastest route to get to work. He also shows that calculus can be both useful—determining which seat at the theater leads to the best viewing experience, for instance—and fascinating—exploring topics such as time travel and the age of the universe. Throughout, Fernandez presents straightforward concepts, and no prior mathematical knowledge is required. For advanced math fans, the mathematical derivations are included in the appendixes. The book features a new preface that alerts readers to new interactive online content, including demonstrations linked to specific figures in the book as well as an online supplement. Whether you're new to mathematics or already a curious math enthusiast, Everyday Calculus will convince even die-hard skeptics to view this area of math in a whole new way.