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Fast Start Integral Calculus


Fast Start Integral Calculus
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Fast Start Integral Calculus


Fast Start Integral Calculus
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Author : Daniel Ashlock
language : en
Publisher: Springer Nature
Release Date : 2022-05-31

Fast Start Integral Calculus written by Daniel Ashlock and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-31 with Mathematics categories.


This book introduces integrals, the fundamental theorem of calculus, initial value problems, and Riemann sums. It introduces properties of polynomials, including roots and multiplicity, and uses them as a framework for introducing additional calculus concepts including Newton's method, L'Hôpital's Rule, and Rolle's theorem. Both the differential and integral calculus of parametric, polar, and vector functions are introduced. The book concludes with a survey of methods of integration, including u-substitution, integration by parts, special trigonometric integrals, trigonometric substitution, and partial fractions.



Fast Start Differential Calculus


Fast Start Differential Calculus
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Author : Daniel Ashlock
language : en
Publisher: Morgan & Claypool Publishers
Release Date : 2019-09-16

Fast Start Differential Calculus written by Daniel Ashlock and has been published by Morgan & Claypool Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-16 with Mathematics categories.


This book reviews the algebraic prerequisites of calculus, including solving equations, lines, quadratics, functions, logarithms, and trig functions. It introduces the derivative using the limit-based definition and covers the standard function library and the product, quotient, and chain rules. It explores the applications of the derivative to curve sketching and optimization and concludes with the formal definition of the limit, the squeeze theorem, and the mean value theorem.



Fast Start Advanced Calculus


Fast Start Advanced Calculus
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Author : Daniel Ashlock
language : en
Publisher: Morgan & Claypool Publishers
Release Date : 2019-09-26

Fast Start Advanced Calculus written by Daniel Ashlock and has been published by Morgan & Claypool Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-26 with Mathematics categories.


This book continues the material in two early Fast Start calculus volumes to include multivariate calculus, sequences and series, and a variety of additional applications. These include partial derivatives and the optimization techniques that arise from them, including Lagrange multipliers. Volumes of rotation, arc length, and surface area are included in the additional applications of integration. Using multiple integrals, including computing volume and center of mass, is covered. The book concludes with an initial treatment of sequences, series, power series, and Taylor's series, including techniques of function approximation.



Fast Start Calculus For Integrated Physics 4th Edition


Fast Start Calculus For Integrated Physics 4th Edition
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Author : Daniel Ashlock
language : en
Publisher:
Release Date : 2019-08

Fast Start Calculus For Integrated Physics 4th Edition written by Daniel Ashlock and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08 with categories.


This text introduces single variable calculus and selected topics in multivariate calculus from an applied perspective. The topics are drawn from the syllabus of an integrated mathematics and physics course taught at the University of Guelph. The topics and exercises are the result of five years of testing and evaluation.



Fast Start Advanced Calculus


Fast Start Advanced Calculus
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Author : Daniel Ashlock
language : en
Publisher: Springer Nature
Release Date : 2022-06-01

Fast Start Advanced Calculus written by Daniel Ashlock and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-01 with Mathematics categories.


This book continues the material in two early Fast Start calculus volumes to include multivariate calculus, sequences and series, and a variety of additional applications. These include partial derivatives and the optimization techniques that arise from them, including Lagrange multipliers. Volumes of rotation, arc length, and surface area are included in the additional applications of integration. Using multiple integrals, including computing volume and center of mass, is covered. The book concludes with an initial treatment of sequences, series, power series, and Taylor's series, including techniques of function approximation.



Fast Start Calculus For Integrated Physics 3rd Edition


Fast Start Calculus For Integrated Physics 3rd Edition
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Author : Daniel Ashlock
language : en
Publisher:
Release Date : 2018-07-26

Fast Start Calculus For Integrated Physics 3rd Edition written by Daniel Ashlock and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-26 with categories.


This text introduces single variable calculus and selected topics in multivariate calculus from an applied perspective. The topics are drawn from the syllabus of an integrated mathematics and physics course taught at the University of Guelph. The topics and exercises are the result of five years of testing and evaluation.



Fast Start Differential Calculus


Fast Start Differential Calculus
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Author : Daniel Ashlock
language : en
Publisher: Springer Nature
Release Date : 2022-06-01

Fast Start Differential Calculus written by Daniel Ashlock and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-01 with Mathematics categories.


This book reviews the algebraic prerequisites of calculus, including solving equations, lines, quadratics, functions, logarithms, and trig functions. It introduces the derivative using the limit-based definition and covers the standard function library and the product, quotient, and chain rules. It explores the applications of the derivative to curve sketching and optimization and concludes with the formal definition of the limit, the squeeze theorem, and the mean value theorem.



Quick Calculus


Quick Calculus
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Author : Daniel Kleppner
language : en
Publisher: John Wiley & Sons
Release Date : 2022-04-19

Quick Calculus written by Daniel Kleppner 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 2022-04-19 with Mathematics categories.


Discover an accessible and easy-to-use guide to calculus fundamentals In Quick Calculus: A Self-Teaching Guide, 3rd Edition, a team of expert MIT educators delivers a hands-on and practical handbook to essential calculus concepts and terms. The author explores calculus techniques and applications, showing readers how to immediately implement the concepts discussed within to help solve real-world problems. In the book, readers will find: An accessible introduction to the basics of differential and integral calculus An interactive self-teaching guide that offers frequent questions and practice problems with solutions. A format that enables them to monitor their progress and gauge their knowledge This latest edition provides new sections, rewritten introductions, and worked examples that demonstrate how to apply calculus concepts to problems in physics, health sciences, engineering, statistics, and other core sciences. Quick Calculus: A Self-Teaching Guide, 3rd Edition is an invaluable resource for students and lifelong learners hoping to strengthen their foundations in calculus.



Fast Start Calculus For Integrated Physics


Fast Start Calculus For Integrated Physics
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Author : Daniel Ashlock
language : en
Publisher:
Release Date : 2018

Fast Start Calculus For Integrated Physics written by Daniel Ashlock and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Calculus categories.




Introduction To Integral Calculus


Introduction To Integral Calculus
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Author : Ulrich L. Rohde
language : en
Publisher: John Wiley & Sons
Release Date : 2012-01-20

Introduction To Integral Calculus written by Ulrich L. Rohde 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 2012-01-20 with Mathematics categories.


An accessible introduction to the fundamentals of calculus needed to solve current problems in engineering and the physical sciences I ntegration is an important function of calculus, and Introduction to Integral Calculus combines fundamental concepts with scientific problems to develop intuition and skills for solving mathematical problems related to engineering and the physical sciences. The authors provide a solid introduction to integral calculus and feature applications of integration, solutions of differential equations, and evaluation methods. With logical organization coupled with clear, simple explanations, the authors reinforce new concepts to progressively build skills and knowledge, and numerous real-world examples as well as intriguing applications help readers to better understand the connections between the theory of calculus and practical problem solving. The first six chapters address the prerequisites needed to understand the principles of integral calculus and explore such topics as anti-derivatives, methods of converting integrals into standard form, and the concept of area. Next, the authors review numerous methods and applications of integral calculus, including: Mastering and applying the first and second fundamental theorems of calculus to compute definite integrals Defining the natural logarithmic function using calculus Evaluating definite integrals Calculating plane areas bounded by curves Applying basic concepts of differential equations to solve ordinary differential equations With this book as their guide, readers quickly learn to solve a broad range of current problems throughout the physical sciences and engineering that can only be solved with calculus. Examples throughout provide practical guidance, and practice problems and exercises allow for further development and fine-tuning of various calculus skills. Introduction to Integral Calculus is an excellent book for upper-undergraduate calculus courses and is also an ideal reference for students and professionals who would like to gain a further understanding of the use of calculus to solve problems in a simplified manner.