Fundamentals of Calculus
Fundamentals of Calculus

Author: Carla C. Morris

Publisher: John Wiley & Sons

Published: 2015-07-28

Total Pages: 368

ISBN-13: 1119015316

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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
Fundamentals of Calculus

Author: Gerald Atkins

Publisher: Larsen and Keller Education

Published: 2019-06-17

Total Pages: 276

ISBN-13: 9781641721400

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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
Calculus

Author: Gilbert Strang

Publisher:

Published: 2016-03-07

Total Pages: 824

ISBN-13: 9781938168062

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"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.

Introduction to Integral Calculus
Introduction to Integral Calculus

Author: Ulrich L. Rohde

Publisher: John Wiley & Sons

Published: 2012-01-20

Total Pages: 371

ISBN-13: 1118130332

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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.

Foundation Calculus
Foundation Calculus

Author: Pragnesh Gajjar

Publisher: Bloomsbury Publishing

Published: 2020-02-04

Total Pages: 447

ISBN-13: 135031059X

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This textbook teaches the fundamentals of calculus, keeping points clear, succinct and focused, with plenty of diagrams and practice but relatively few words. It assumes a very basic knowledge but revises the key prerequisites before moving on. Definitions are highlighted for easy understanding and reference, and worked examples illustrate the explanations. Chapters are interwoven with exercises, whilst each chapter also ends with a comprehensive set of exercises, with answers in the back of the book. Introductory paragraphs describe the real-world application of each topic, and also include briefly where relevant any interesting historical facts about the development of the mathematical subject. This text is intended for undergraduate students in engineering taking a course in calculus. It works for the Foundation and 1st year levels. It has a companion volume Foundation Algebra.

Advanced Calculus: Fundamentals of Mathematics
Advanced Calculus: Fundamentals of Mathematics

Author: Carlos Polanco

Publisher: Bentham Science Publishers

Published: 2019-07-31

Total Pages: 212

ISBN-13: 9811415072

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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 Made Easy
Calculus Made Easy

Author: Silvanus P. Thompson

Publisher: St. Martin's Press

Published: 2014-03-18

Total Pages: 348

ISBN-13: 1466866357

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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.

A First Course in Calculus
A First Course in Calculus

Author: Serge Lang

Publisher: Springer Science & Business Media

Published: 2012-09-17

Total Pages: 741

ISBN-13: 1441985328

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This fifth edition of Lang's book covers all the topics traditionally taught in the first-year calculus sequence. Divided into five parts, each section of A FIRST COURSE IN CALCULUS contains examples and applications relating to the topic covered. In addition, the rear of the book contains detailed solutions to a large number of the exercises, allowing them to be used as worked-out examples -- one of the main improvements over previous editions.

Calculus for Engineering Students
Calculus for Engineering Students

Author: Jesus Martin Vaquero

Publisher: Academic Press

Published: 2020-08-10

Total Pages: 372

ISBN-13: 0128172118

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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

Calculus: A Rigorous First Course
Calculus: A Rigorous First Course

Author: Daniel J. Velleman

Publisher: Courier Dover Publications

Published: 2017-01-18

Total Pages: 737

ISBN-13: 0486809366

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Designed for undergraduate mathematics majors, this rigorous and rewarding treatment covers the usual topics of first-year calculus: limits, derivatives, integrals, and infinite series. Author Daniel J. Velleman focuses on calculus as a tool for problem solving rather than the subject's theoretical foundations. Stressing a fundamental understanding of the concepts of calculus instead of memorized procedures, this volume teaches problem solving by reasoning, not just calculation. The goal of the text is an understanding of calculus that is deep enough to allow the student to not only find answers to problems, but also achieve certainty of the answers' correctness. No background in calculus is necessary. Prerequisites include proficiency in basic algebra and trigonometry, and a concise review of both areas provides sufficient background. Extensive problem material appears throughout the text and includes selected answers. Complete solutions are available to instructors.