A Textbook On Fundamentals Of Calculus

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Fundamentals of Calculus

Carla C. Morris,Robert M. Stark
Fundamentals of Calculus Book PDF

Author : Carla C. Morris,Robert M. Stark
Publisher : John Wiley & Sons
Page : 368 pages
File Size : 48,9 Mb
Release : 2015-08-10
Category : Mathematics
ISBN : 9781119015260

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Fundamentals of Calculus by Carla C. Morris,Robert M. Stark Pdf

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.

A Textbook on Fundamentals of Calculus

Prof. (Dr.) Chaitanya Kumar,Dr, Bhavneet Kaur,Dr. Harinderjit Kaur Chawla
A Textbook on Fundamentals of Calculus Book PDF

Author : Prof. (Dr.) Chaitanya Kumar,Dr, Bhavneet Kaur,Dr. Harinderjit Kaur Chawla
Publisher : Sultan Chand & Sons
Page : 18 pages
File Size : 55,7 Mb
Release : 2022-10-01
Category : Mathematics
ISBN : 9789391820015

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A Textbook on Fundamentals of Calculus by Prof. (Dr.) Chaitanya Kumar,Dr, Bhavneet Kaur,Dr. Harinderjit Kaur Chawla Pdf

This book has been designed in accordance with the Undergraduate Curriculum Framework-2022 followed by the Central Universities of India including University of Delhi under the National Education Policy (NEP)-2020. Keeping in mind the need to uphold students' interest in the subject, vivid explanation of concepts as well as explanatory illustrations followed by exercises have been included. The book is exclusively designed to help and guide the students of Mathematics DSC-5 B.Sc. (Hons.) Mathematics; GE-1(i) B.Sc./B.A. (Hons.) (Other than Mathematics); Discipline A-1 and GE-1(i) Bachelor in Multidisciplinary Courses. It is also useful for B.Tech. students of various Universities and for preparation of competitive examinations. The students of open and distance education courses will also find the book very beneficial. The Salient Features of the book are as follows: 1. An all-encompassing and self-sufficient textbook for UGCF-2022 based on NEP-2020. 2. Written in lucid and simple language. 3. Written with a view to present a qualitative understanding of the subject. 4. Comprehensive step-by-step explanation for easier understanding of the subject. 5. Many solved examples and unsolved problems have been drawn from recent examination papers of universities. 6. Answers to all the problems in each exercise are provided immediately after the exercise for the convenience of the reader.

Fundamentals of Calculus

Gerald Atkins
Fundamentals of Calculus Book PDF

Author : Gerald Atkins
Publisher : Larsen and Keller Education
Page : 276 pages
File Size : 52,9 Mb
Release : 2019-06-17
Category : Electronic
ISBN : 1641721405

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Fundamentals of Calculus by Gerald Atkins Pdf

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.

Calculus

Gilbert Strang,Edwin Prine Herman
Calculus Book PDF

Author : Gilbert Strang,Edwin Prine Herman
Publisher : Unknown
Page : 824 pages
File Size : 41,8 Mb
Release : 2016-03-07
Category : Calculus
ISBN : 1938168062

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Calculus by Gilbert Strang,Edwin Prine Herman Pdf

"Published by OpenStax College, Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates."--BC Campus website.

Fundamentals of Calculus and Probability

Timothy C. Kearns
Fundamentals of Calculus and Probability Book PDF

Author : Timothy C. Kearns
Publisher : Author House
Page : 171 pages
File Size : 54,5 Mb
Release : 2014-05
Category : Education
ISBN : 9781496904829

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Fundamentals of Calculus and Probability by Timothy C. Kearns Pdf

"Fundamentals of Calculus and Probability" is a book intended for students that have already had a course or two in Calculus, but perhaps not recently. The book is an assortment of topics related to basic mathematical and statistical analysis. It starts with a discussion of the real number system and some set theory, which includes a discussion of countable and uncountable infinity, which is an important and relevant part of advanced mathematics. From there, the book contains a chapter that provides a review of some of the key concepts of single-variable calculus. Then the book discusses a bit of so-called "measure" and how this relates to the integers, rationals, irrational, and real number systems. Finally, the book discusses probability, important probability distributions, and a good introduction to the basic concepts of statistical estimation and statistical inference (hypothesis testing). Along the way, the author interjects some of his own speculations about certain mathematical topics, and some comments about probability distributions, and in addition some topics involving space and time. It is not a textbook with exercises, but it has an abundance of examples throughout to explain the essential concepts and ideas. The book should appeal to students returning to school for graduate study, in a field such as statistics, that would benefit from an overview of many important topics in mathematics and statistics, which they will encounter in their advanced studies.

Advanced Calculus: Fundamentals of Mathematics

Carlos Polanco
Advanced Calculus Fundamentals of Mathematics Book PDF

Author : Carlos Polanco
Publisher : Bentham Science Publishers
Page : 212 pages
File Size : 47,9 Mb
Release : 2019-07-31
Category : Mathematics
ISBN : 9789811415074

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Advanced Calculus: Fundamentals of Mathematics by Carlos Polanco Pdf

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.

Fundamentals of Calculus Set

Carla C. Morris,Robert M. Stark
Fundamentals of Calculus Set Book PDF

Author : Carla C. Morris,Robert M. Stark
Publisher : John Wiley & Sons
Page : 0 pages
File Size : 42,9 Mb
Release : 2015-08-31
Category : Mathematics
ISBN : 1119015391

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Fundamentals of Calculus Set by Carla C. Morris,Robert M. Stark Pdf

This set includes Fundamentals of Calculus & Solutions Manual to Accompany Fundamentals of 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. Chapter coverage includes: Linear Equations and Functions; Integral Calculus; The Derivative; Integrations Techniques; Using the Derivative; Functions of Several Variables; Exponents and Logarithms; Series and Summations; Differentiation Techniques; Applications to Probability

Introduction to Integral Calculus

Ulrich L. Rohde,G. C. Jain,Ajay K. Poddar,A. K. Ghosh
Introduction to Integral Calculus Book PDF

Author : Ulrich L. Rohde,G. C. Jain,Ajay K. Poddar,A. K. Ghosh
Publisher : John Wiley & Sons
Page : 371 pages
File Size : 45,8 Mb
Release : 2012-01-20
Category : Mathematics
ISBN : 9781118130339

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Introduction to Integral Calculus by Ulrich L. Rohde,G. C. Jain,Ajay K. Poddar,A. K. Ghosh Pdf

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.

Differential and Integral Calculus, Volume 1

Richard Courant
Differential and Integral Calculus Volume 1 Book PDF

Author : Richard Courant
Publisher : John Wiley & Sons
Page : 634 pages
File Size : 54,5 Mb
Release : 2011-08-15
Category : Mathematics
ISBN : 9781118031490

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Differential and Integral Calculus, Volume 1 by Richard Courant Pdf

The classic introduction to the fundamentals of calculus Richard Courant's classic text Differential and Integral Calculus is an essential text for those preparing for a career in physics or applied math. Volume 1 introduces the foundational concepts of "function" and "limit", and offers detailed explanations that illustrate the "why" as well as the "how". Comprehensive coverage of the basics of integrals and differentials includes their applications as well as clearly-defined techniques and essential theorems. Multiple appendices provide supplementary explanation and author notes, as well as solutions and hints for all in-text problems.

Advanced Calculus

Lynn Harold Loomis,Shlomo Sternberg
Advanced Calculus Book PDF

Author : Lynn Harold Loomis,Shlomo Sternberg
Publisher : World Scientific Publishing Company
Page : 596 pages
File Size : 40,6 Mb
Release : 2014-02-26
Category : Mathematics
ISBN : 9789814583954

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Advanced Calculus by Lynn Harold Loomis,Shlomo Sternberg Pdf

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.

Calculus Made Easy

Silvanus P. Thompson,Martin Gardner
Calculus Made Easy Book PDF

Author : Silvanus P. Thompson,Martin Gardner
Publisher : St. Martin's Press
Page : 348 pages
File Size : 48,9 Mb
Release : 2014-03-18
Category : Study Aids
ISBN : 9781466866355

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Calculus Made Easy by Silvanus P. Thompson,Martin Gardner Pdf

Calculus Made Easy by Silvanus P. Thompson and Martin Gardner has long been the most popular calculus primer. This major revision of the classic math text makes the subject at hand still more comprehensible to readers of all levels. With a new introduction, three new chapters, modernized language and methods throughout, and an appendix of challenging and enjoyable practice problems, Calculus Made Easy has been thoroughly updated for the modern reader.

Solutions Manual to accompany Fundamentals of Calculus

Carla C. Morris,Robert M. Stark
Solutions Manual to accompany Fundamentals of Calculus Book PDF

Author : Carla C. Morris,Robert M. Stark
Publisher : John Wiley & Sons
Page : 128 pages
File Size : 47,8 Mb
Release : 2015-08-19
Category : Mathematics
ISBN : 9781119015468

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Solutions Manual to accompany Fundamentals of Calculus by Carla C. Morris,Robert M. Stark Pdf

A solutions manual to accompany Fundamentals of Calculus Fundamentals of Calculus 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 Integral Calculus The Derivative Integrations Techniques Using the Derivative Functions of Several Variables Exponents and Logarithms Series and Summations Differentiation Techniques Applications to Probability

Calculus for Engineering Students

Jesus Martin Vaquero,Michael Carr,Araceli Quieruga-Dios,Daniela Richtarikova
Calculus for Engineering Students Book PDF

Author : Jesus Martin Vaquero,Michael Carr,Araceli Quieruga-Dios,Daniela Richtarikova
Publisher : Academic Press
Page : 372 pages
File Size : 46,6 Mb
Release : 2020-08-10
Category : Mathematics
ISBN : 9780128172117

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Calculus for Engineering Students by Jesus Martin Vaquero,Michael Carr,Araceli Quieruga-Dios,Daniela Richtarikova Pdf

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 Differential Calculus

Ulrich L. Rohde,G. C. Jain,Ajay K. Poddar,A. K. Ghosh
Introduction to Differential Calculus Book PDF

Author : Ulrich L. Rohde,G. C. Jain,Ajay K. Poddar,A. K. Ghosh
Publisher : John Wiley & Sons
Page : 788 pages
File Size : 46,8 Mb
Release : 2012-01-12
Category : Mathematics
ISBN : 9781118130148

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Introduction to Differential Calculus by Ulrich L. Rohde,G. C. Jain,Ajay K. Poddar,A. K. Ghosh Pdf

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.

Functions

Cesar Gallo
Functions Book PDF

Author : Cesar Gallo
Publisher : Unknown
Page : 318 pages
File Size : 40,8 Mb
Release : 2020-10-27
Category : Electronic
ISBN : 9798553376345

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Functions by Cesar Gallo Pdf

All the Calculus concepts and their applications are based on functions. Most students who fail or find it very difficult to pass their calculus course are proved to have a poor understanding of the concept of function. It also involves a lack of the association between a function and its graph. These facts gave rise to the production of this text exclusively dedicated to the study of functions. The text aims at helping students overcome what would surely be a serious obstacle for them to succeed in their Calculus course. The content is presented in an easy way so that students can reach the essence of the concept. To achieve the same purpose, easy examples are given and explained in detail. A set of 566 exercises are proposed for the students so that they can practice what they have learned. An answer to each proposed exercise is also provided at the end of each chapter. Without a doubt, this text provides the students with the basis for succeeding in their study of Calculus.The book starts with a discussion on relations since functions are cases of relations. The second chapter deals with the definition of a function as a relation between sets of any type, including numerical ones. This chapter provides the foundations to focus on the study of functions of a real variable in the third chapter. These are the functions established between sets of real numbers and they constitute the building blocks of calculus. This chapter covers most of the book, as it constitutes its core. Special attention is given to the construction and use of graphs. Also, the real functions mostly used in calculus applications are studied in this chapter. The fourth chapter tackles arithmetic operations with real functions and based on them the determination of domains.The explanations are given by using an easy language accessible to all students regardless of their level of knowledge. Along with the explanations, very simple examples are presented, since the objective is to help the student understand the concepts and not make them appear as complicated topics only accessible to privileged minds. However, it is important to highlight that the students should be familiar with the symbols and the language used in propositional logic as well as having a basic knowledge of set theory. The students who are not familiar with these topics should then previously review textbooks that deal with these themes. By carefully reading the entire book without omitting any section and by doing all the exercises proposed, the students will get the knowledge on functions required to guarantee their success in their calculus courses. The author is both an engineer and an economist who graduated from the Central University of Venezuela. He also earned an MSc in Development Planning from the same university. Additionally, he earned an MSc in Economics from the Queen Mary College of the University of London, and a Ph.D. in Planning Studies from the University College London of the same university. He has been a visiting researcher at the London School of Economics, the University of Ottawa, and the University of Oxford. Dr. Gallo has more than thirty years of teaching experience in mathematics and he currently works as a Math tutor at the Houston Community College. He has also published several textbooks on both Mathematics and Econometrics.