Fundamentals Of Calculus
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Fundamentals Of Calculus
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Author : Carla C. Morris
language : en
Publisher: John Wiley & Sons
Release Date : 2015-07-27
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 2015-07-27 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.
Fundamentals Of Calculus
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Author : Gerald Atkins
language : en
Publisher: Larsen and Keller Education
Release Date : 2019-06-17
Fundamentals Of Calculus written by Gerald Atkins and has been published by Larsen and Keller Education this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-17 with categories.
Calculus is a branch of mathematics that studies continuous change. It can be divided into the two branches of differential and integral calculus. The principles of limits and infinitesimals, the fundamental theorem of calculus and the convergence of infinite sequences and infinite series are fundamental to the development of calculus. Current studies in this field are in the areas of reformulations of calculus such as non-standard calculus, smooth infinitesimal analysis and constructive analysis. An understanding of this domain is crucial for developing a functional approach to advanced mathematical analysis. Besides advancing the frontiers of advanced mathematics, calculus is also instrumental in science, engineering and economics. This book provides comprehensive insights into the field of calculus. Some of the diverse topics covered herein address the varied branches that fall under this category. Coherent flow of topics, student-friendly language and extensive use of examples make this textbook an invaluable source of knowledge.
Understanding Basic Calculus
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Author : S. K. Chung
language : en
Publisher:
Release Date : 2014-11-26
Understanding Basic Calculus written by S. K. Chung and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-26 with categories.
Understanding Basic CalculusBy S.K. Chung
Advanced Calculus Fundamentals Of Mathematics
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Author : Carlos Polanco
language : en
Publisher: Bentham Science Publishers
Release Date : 2019-07-31
Advanced Calculus Fundamentals Of Mathematics written by Carlos Polanco and has been published by Bentham Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-31 with Mathematics categories.
Vector calculus is an essential mathematical tool for performing mathematical analysis of physical and natural phenomena. It is employed in advanced applications in the field of engineering and computer simulations. This textbook covers the fundamental requirements of vector calculus in curricula for college students in mathematics and engineering programs. Chapters start from the basics of vector algebra, real valued functions, different forms of integrals, geometric algebra and the various theorems relevant to vector calculus and differential forms. Readers will find a concise and clear study of vector calculus, along with several examples, exercises, and a case study in each chapter. The solutions to the exercises are also included at the end of the book. This is an ideal book for students with a basic background in mathematics who wish to learn about advanced calculus as part of their college curriculum and equip themselves with the knowledge to apply theoretical concepts in practical situations.
Calculus For Engineering Students
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Author : Jesus Martin Vaquero
language : en
Publisher: Academic Press
Release Date : 2020-08-10
Calculus For Engineering Students written by Jesus Martin Vaquero and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-10 with Mathematics categories.
Calculus for Engineering Students: Fundamentals, Real Problems, and Computers insists that mathematics cannot be separated from chemistry, mechanics, electricity, electronics, automation, and other disciplines. It emphasizes interdisciplinary problems as a way to show the importance of calculus in engineering tasks and problems. While concentrating on actual problems instead of theory, the book uses Computer Algebra Systems (CAS) to help students incorporate lessons into their own studies. Assuming a working familiarity with calculus concepts, the book provides a hands-on opportunity for students to increase their calculus and mathematics skills while also learning about engineering applications. - Organized around project-based rather than traditional homework-based learning - Reviews basic mathematics and theory while also introducing applications - Employs uniform chapter sections that encourage the comparison and contrast of different areas of engineering
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.
Fundamentals Of Calculus For Teachers
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Author : Dustin Jones
language : en
Publisher: Cognella Academic Publishing
Release Date : 2019-07-16
Fundamentals Of Calculus For Teachers written by Dustin Jones and has been published by Cognella Academic Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-16 with categories.
Fundamentals of Calculus for Teachers helps readers connect the dots between key calculus concepts and the mathematics content taught in the middle grades, namely fourth through eighth grade in the United States. The text prepares future instructors to fully understand the mathematical content taught in lower and higher grades, build upon the knowledge their students will bring to the classroom, and prepare students for study of more advanced topics. The book focuses on broad concepts rather than detailed techniques. Over the course of five targeted chapters, students are introduced to key calculus concepts that relate to limits, derivatives, and integrals. Each chapter begins with a description of prerequisite knowledge and brief warmup exercises to prepare the reader for forthcoming content. Students are guided through a set of exercises that demonstrate the concepts in action, with distinct opportunities for input from their instructor and the use of technology (graphing calculators, spreadsheets, etc.) to encourage practical application. Designed to help students sharpen their conceptual knowledge of calculus concepts, Fundamentals of Calculus for Teachers is an ideal resource for courses that prepare future instructors to teach classes in middle-grades mathematics.
Advanced Calculus Revised Edition
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Author : Lynn Harold Loomis
language : en
Publisher: World Scientific Publishing Company
Release Date : 2014-02-26
Advanced Calculus Revised Edition written by Lynn Harold Loomis and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-26 with Mathematics categories.
An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.
Fundamentals Of Calculus With Applications And Companion To Calculus
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Author : William J. Adams
language : en
Publisher: Xlibris Corporation
Release Date :
Fundamentals Of Calculus With Applications And Companion To Calculus written by William J. Adams and has been published by Xlibris Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
Introduction To Differential Calculus
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Author : Ulrich L. Rohde
language : en
Publisher: John Wiley & Sons
Release Date : 2012-01-11
Introduction To Differential 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 2012-01-11 with Mathematics categories.
Enables readers to apply the fundamentals of differential calculus to solve real-life problems in engineering and the physical sciences Introduction to Differential Calculus fully engages readers by presenting the fundamental theories and methods of differential calculus and then showcasing how the discussed concepts can be applied to real-world problems in engineering and the physical sciences. With its easy-to-follow style and accessible explanations, the book sets a solid foundation before advancing to specific calculus methods, demonstrating the connections between differential calculus theory and its applications. The first five chapters introduce underlying concepts such as algebra, geometry, coordinate geometry, and trigonometry. Subsequent chapters present a broad range of theories, methods, and applications in differential calculus, including: Concepts of function, continuity, and derivative Properties of exponential and logarithmic function Inverse trigonometric functions and their properties Derivatives of higher order Methods to find maximum and minimum values of a function Hyperbolic functions and their properties Readers are equipped with the necessary tools to quickly learn how to understand 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 Differential Calculus is an excellent book for upper-undergraduate calculus courses and is also an ideal reference for students and professionals alike who would like to gain a further understanding of the use of calculus to solve problems in a simplified manner.