Calculus Volume 2 by Gilbert Strang; Edwin "Jed" Herman 2016Summary
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..
Please note that this title is published under a CC BY-NC-SA 4.0 license, which means that you are free to use and adapt, but not for commercial purposes. Changes you make need to be shared using this license.
Senior Contributing Authors
Gilbert Strang, Massachusetts Institute of Technology
Edwin “Jed” Herman, University of Wisconsin-Stevens Point
Contributing Authors
William Radulovich, Formerly at Florida State College at Jacksonville
Erica M. Rutter, Arizona State University
David Smith, University of the Virgin Islands
Kirsten R. Messer, Colorado State University-Pueblo
Alfred K. Mulzet, Florida State College at Jacksonville
Nicoleta Virginia Bila, Fayetteville State University
Sheri J. Boyd, Rollins College
Joyati Debnath, Winona State University
Michelle Merriweather, Bronxville High School
Valeree Falduto, Palm Beach State College
Elaine A. Terry, Saint Joseph’s University
David Torain, Hampton University
Catherine Abbott, Keuka College
Joseph Lakey, New Mexico State University
Julie Levandosky, Framingham State University
David McCune, William Jewell College
Errata
All OpenStax textbooks undergo a rigorous review process. However, like any professional-grade textbook, errors sometimes occur. The good part is, since our books are web-based, we can make updates periodically. If you have a correction to suggest, submit it here. We review your suggestion and make necessary changes.
Calculus Volumes 1, 2, and 3 are licensed under an Attribution-NonCommercial-Sharealike 4.0 International License (CC BY-NC-SA), which means you can share, remix, transform, and build upon the content, as long as you credit OpenStax and license your new creations under the same terms. If you have any questions, contact us.
ISBN: 9781947172142
Publication Date: 2016-03-30
Calculus Volume 3 by Gilbert Strang; Edwin "Jed" Herman 2016Summary
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 3 covers parametric equations and polar coordinates, vectors, functions of several variables, multiple integration, and second-order differential equations.
Please note that this title is published under a CC BY-NC-SA 4.0 license, which means that you are free to use and adapt, but not for commercial purposes. Changes you make need to be shared using this license.
Senior Contributing Authors
Gilbert Strang, Massachusetts Institute of Technology
Edwin “Jed” Herman, University of Wisconsin-Stevens Point
Contributing Authors
Nicoleta Virginia Bila, Fayetteville State University
Sheri J. Boyd, Rollins College
David Smith, University of the Virgin Islands
Elaine A. Terry, Saint Joseph’s University
David Torain, Hampton University
Kirsten R. Messer, Colorado State University-Pueblo
Alfred K. Mulzet, Florida State College at Jacksonville
William Radulovich, Formerly at Florida State College at Jacksonville
Erica M. Rutter, Arizona State University
David McCune, William Jewell College
Michelle Merriweather, Bronxville High School
Joseph Lakey, New Mexico State University
Julie Levandosky, Framingham State University
Valeree Falduto, Palm Beach State College
Catherine Abbott, Keuka College
Joyati Debnath, Winona State University
Errata
All OpenStax textbooks undergo a rigorous review process. However, like any professional-grade textbook, errors sometimes occur. The good part is, since our books are web-based, we can make updates periodically. If you have a correction to suggest, submit it here. We review your suggestion and make necessary changes.
Calculus Volumes 1, 2, and 3 are licensed under an Attribution-NonCommercial-Sharealike 4.0 International License (CC BY-NC-SA), which means you can share, remix, transform, and build upon the content, as long as you credit OpenStax and license your new creations under the same terms. If you have any questions, contact us.
APEX Calculus 1 by Gregory Hartman 2015Version 4.0 of this text is now available! Purchase this version only if you know it is what you want/need. A Calculus text covering limits, derivatives and the basics of integration. This book contains numerous examples and illustrations to help make concepts clear. The follow-up to this text is Calculus 2, which reviews the basic concepts of integration, then covers techniques and applications of integration, followed by sequences and series. Calculus 3 finishes this series by covering parametric equations, polar coordinates, vector valued functions, and multivariable functions. A free .pdf version of all three can be obtained at apexcalculus.com.In Version 3.0, numerous corrections have been made to the content of Version 2.0. Also, throughout the 3.0 volumes, the graphics of 3D content are interactive in .pdf form - the reader can click/drag, pan/zoom! See more at apexcalculus.com.
ISBN: 9781514225158
Publication Date: 2015-06-04
Introductory Calculus I: Understanding the Derivative by Tunc GeveciWith a "less is more" approach to introducing the reader to the fundamental concepts and uses of Calculus, this sequence of four books covers the usual topics of the first semester of calculus, including limits, continuity, the derivative, the integral and important special functions such exponential functions, logarithms, and inverse trigonometric functions.
Creative Commons License
Creative Commons Attribution-Noncommercial 4.0 License
This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 4.0 License.
Fundamentals of Calculus by Carla C. Morris; Robert M. Stark 2015Features 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.
ISBN: 9781119015260
Publication Date: 2015-08-10
Introduction to Differential Calculus by Ulrich L. Rohde; G. C. Jain; Ajay K. Poddar; A. K. Ghosh; G.C. JainEnables 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.
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Attribution-NonCommercial-ShareAlike
CC BY-NC-SA
Calculus by Frank Ayres; Elliott Mendelson 1999Suitable for test preparation, pre-exam review, and handling those last-minute cram situations, this title gives you the essence of calculus the easy way. It helps you master calculus with illustrations, memory joggers, and the rapid-absorption teaching techniques, as well as quick study tips; student-friendly style; and, at-a-glance charts.