Download or read book Introductory Calculus I Understanding the Derivative written by Tunc Geveci and published by Momentum Press. This book was released on 2015-09-10 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: With 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.
Download or read book Introductory Calculus I Understanding the Integral written by Tunc Geveci and published by Momentum Press. This book was released on 2015-09-10 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: With 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.
Download or read book Introductory Calculus written by A. Wayne Roberts and published by Academic Press. This book was released on 2014-05-10 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introductory Calculus: Second Edition, with Analytic Geometry and Linear Algebra is an introductory text on calculus and includes topics related to analytic geometry and linear algebra. Functions and graphs are discussed, along with derivatives and antiderivatives, curves in the plane, infinite series, and differential equations. Comprised of 15 chapters, this book begins by considering vectors in the plane, the straight line, and conic sections. The next chapter presents some of the basic facts about functions, the formal definition of a function, and the notion of a graph of a function. Subsequent chapters examine the derivative as a linear transformation; higher derivatives and the mean value theorem; applications of graphs; and the definite integral. Transcendental functions and how to find an antiderivative are also discussed, together with the use of parametric equations to determine the curve in a plane; how to solve linear equations; functions of several variables and the derivative and integration of these functions; and problems that lead to differential equations. This monograph is intended for students taking a two- or three-semester course in introductory calculus.
Download or read book An Investigation of Introductory Calculus Students Understanding of Limits and Derivatives written by Mark Anthony Fless and published by . This book was released on 1988 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Financial Calculus written by Martin Baxter and published by Cambridge University Press. This book was released on 1996-09-19 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: A rigorous introduction to the mathematics of pricing, construction and hedging of derivative securities.
Download or read book Introduction to Differential Calculus written by Ulrich L. Rohde and published by John Wiley & Sons. This book was released on 2012-01-12 with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book A Quick Guide to Derivatives written by Richard Li and published by . This book was released on 2018-10-14 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This study guide covers everything you need to know about derivatives at an introductory calculus level. The book is divided into three sections: limits, derivatives, and applications. Each section contains custom example problems and diagrams with easy-to-read explanations. This book is aimed at entry-level calculus students in Calculus I or AP Calculus. Richard Li is an avid mathematician who takes a strong interest in educating students. Earning a 5 on the AP Calculus BC exam, he has remade one of his study guides into this book. He has won three state championships with his school's math team, as well as qualifying for the AIME three times. Richard has also earned a perfect 1600 on the SAT and a perfect 36 on the ACT. His writing style focuses on providing all information in a clear, easy-to-follow way.
Download or read book Introductory Calculus written by Arthur Wayne Roberts and published by . This book was released on 1968 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Calculus Differentiation Integration written by Aejeong Kang and published by . This book was released on 2014-03-18 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: If you are an advanced high-school student preparing for Honors Calculus, AB and BC Calculus, or a student who needs an introductory Calculus (College review), this is the perfect book for you. This easy to understand reference Calculus (Differentiation & Integration) not only explains calculus in terms you can understand the concepts, but it also gives you the necessary tools and guide to approach and solve different/complex problems with strong confidence. As a textbook supplement or workbook, teachers, parents, and students will consider the Mathradar series "Must-Have" prep for self -study and test. This book will be the most comprehensive study guide for you. Calculus (Differentiation & Integration) covers the following 7 chapters: *Chapter 1: The Concept of Limits (Limits of Sequences, Limits of Geometric Sequences, Series, Geometric Series) *Chapter 2: Limits of Functions and Continuity (Limits of Functions, Special Limits, Continuity) *Chapter 3: The Derivative (Definition of the Derivative, Continuity of Differentiable Functions, Computation of Derivatives, Higher-Order Derivatives) *Chapter 4: Applications of the Derivative (The Normal to a Curve, The Mean Value Theorem, Monotonicity and Concavity, L'Hopital's Rule, Applications of Differentiation) *Chapter 5: The Indefinite Integral (Antiderivatives and Indefinite Integration, Integrating Trigonometric and Exponential Functions, Techniques of Integration) *Chapter 6: The Definite Integral (Integrals and Area, The Definite Integral, Properties of the Definite Integral, Evaluating Definite Integrals) *Chapter 7: Applications of the Integral (The Area of a Plane Region, The Area of a Region between Two Curves, Volumes of Solids, Arc Length) This book includes thoroughly explained concepts and detailed illustrations of Calculus with a comprehensive Solutions Manual. With the Solutions Manual, students will be able to learn various ways to solve problems and understand difficult concepts step by step, on your own, at your own pace. Other titles by MathRadar: * Algebra-Number Systems * Algebra-Expressions * Algebra-Functions plus Statistics & Probability * Geometry * Algebra 2 and Pre-Calculus (Volume I) * Algebra 2 and Pre-Calculus (Volume II) * Solutions Manual for Algebra 2 and Pre-Calculus (Volume I) * Solutions Manual for Algebra 2 and Pre-Calculus (Volume II) * Calculus (Differentiation & Integration) * Solutions Manual for Calculus (Differentiation & Integration) "
Download or read book Introduction to Integral Calculus written by Ulrich L. Rohde and published by John Wiley & Sons. This book was released on 2012-01-20 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Advanced Calculus Revised Edition written by Lynn Harold Loomis and published by World Scientific Publishing Company. This book was released on 2014-02-26 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Course In Analysis A Volume I Introductory Calculus Analysis Of Functions Of One Real Variable written by Niels Jacob and published by World Scientific Publishing Company. This book was released on 2015-08-18 with total page 769 pages. Available in PDF, EPUB and Kindle. Book excerpt: Part 1 begins with an overview of properties of the real numbers and starts to introduce the notions of set theory. The absolute value and in particular inequalities are considered in great detail before functions and their basic properties are handled. From this the authors move to differential and integral calculus. Many examples are discussed. Proofs not depending on a deeper understanding of the completeness of the real numbers are provided. As a typical calculus module, this part is thought as an interface from school to university analysis. Part 2 returns to the structure of the real numbers, most of all to the problem of their completeness which is discussed in great depth. Once the completeness of the real line is settled the authors revisit the main results of Part 1 and provide complete proofs. Moreover they develop differential and integral calculus on a rigorous basis much further by discussing uniform convergence and the interchanging of limits, infinite series (including Taylor series) and infinite products, improper integrals and the gamma function. In addition they discussed in more detail as usual monotone and convex functions. Finally, the authors supply a number of Appendices, among them Appendices on basic mathematical logic, more on set theory, the Peano axioms and mathematical induction, and on further discussions of the completeness of the real numbers. Remarkably, Volume I contains ca. 360 problems with complete, detailed solutions.
Download or read book Active Calculus 2018 written by Matthew Boelkins and published by Createspace Independent Publishing Platform. This book was released on 2018-08-13 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: Active Calculus - single variable is a free, open-source calculus text that is designed to support an active learning approach in the standard first two semesters of calculus, including approximately 200 activities and 500 exercises. In the HTML version, more than 250 of the exercises are available as interactive WeBWorK exercises; students will love that the online version even looks great on a smart phone. Each section of Active Calculus has at least 4 in-class activities to engage students in active learning. Normally, each section has a brief introduction together with a preview activity, followed by a mix of exposition and several more activities. Each section concludes with a short summary and exercises; the non-WeBWorK exercises are typically involved and challenging. More information on the goals and structure of the text can be found in the preface.
Download or read book An Introduction to Calculus written by Duc Van Khanh Tran and published by . This book was released on 2021-05-02 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introductory calculus book aims to introduce calculus to high school and college math enthusiasts. It starts with some basic concepts such as limits and ordinary derivatives, and then leads to some relatively more advanced concepts with an introduction to partial derivatives at the end of the book. Reviews "This book is suitable for curious high school students, some college students, and maybe even some curious adults. This book has a difference in a friendly, readable, and sometimes cute writing. This is truly a book written by a single author, consistent in style and contents." - Dr. Vu Quang Huynh, Head of Department of Analysis and Dean of Faculty of Mathematics and Computer Science at Vietnam National University Ho Chi Minh City - University of Science (Đại Học Quốc Gia TPHCM - Đại Học Khoa Học Tự Nhiên) "This book has fourteen chapters presenting basic definitions and results on calculus in one variable. The layout is very good. Many results and examples are explained very clearly." - Associate Prof. Dr. Bien Hoang Mai, Head of Department of Algebra at Vietnam National University Ho Chi Minh City - University of Science (Đại Học Quốc Gia TPHCM - Đại Học Khoa Học Tự Nhiên) "The book An Introduction to Calculus: With Hyperbolic Functions, Limits, Derivatives, and More by author Duc Van Khanh Tran refers to the theories of limits, the derivative and differential of a function of a single variable, and the partial derivative of a function of several variables in a practical and easily accessible way. Moreover, the book has covered many interesting additions in chapters 1, 8, 9. There are many relatively rich illustrative examples. The book is suitable for learners who want to research an overview of Calculus." - Dr. Triet Anh Nguyen, Head of Department of Mathematics, Mechanics, and Informatics at University of Architecture Ho Chi Minh City (Đại Học Kiến Trúc TPHCM) "An Introduction to Calculus provides a plethora of interesting and fun examples to work through. It is a book that illustrates many elementary concepts wonderfully and delves into them using an example-based approach. It covers a wide variety of techniques and examples, more so than a typical elementary calculus course would. This makes it a detailed yet simple book to read, perfect for a beginner aiming to master elementary calculus." - Hamza Alsamraee, author of "Advanced Calculus Explored" and "Paradoxes" and admin of Daily Math on Instagram "An Introduction to Calculus provides a comprehensive overview of the strategies and techniques in introductory calculus. Duc Van Khanh Tran's pedagogical language and engaging tone make the abstract concepts easy to follow. Furthermore, he includes many results nonstandard to a traditional introductory text that spark excitement at the power of math. To any student interested in exploring the ideas of calculus, this book will be hard to put down!" - Jack Moffatt, admin of Integral Fun on Instagram "The book is well organized with concise definitions, a lot of examples with explanations, and exercise problems for further practice. I like how each worked example is explained in great detail. The topics covered are much more advanced than normal calculus textbooks. This is definitely a gift for all Math lovers to start their journey in Calculus." - Vinci Mak, admin of Chill with Math Vibes on Instagram
Download or read book Calculus written by Gilbert Strang and published by . This book was released on 2016-03-07 with total page 824 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.
Download or read book Introductory Calculus written by Timothy C. Kearns and published by . This book was released on 2015-11-11 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus is the mathematics of change, and change is an integral part of the universe. Mathematicians and scientists of all persuasions know that calculus is a cornerstone of modern science. Calculus allows us to solve a variety of problems dealing with continuously varying quantities. This development, which dates back to the seventeenth century, with the work of many great mathematicians, but in particular Isaac Newton and Gottfried Liebniz, has added tremendously to the power of our science and has allowed us to understand and master our world in ways that are nothing less than revolutionary. We should consider it to be one of the few truly great achievements of the human mind. This book explains all the basic concepts of single variable calculus through the theory and application of the derivative, the theory and application of the definite integral, and the connection between these two main parts of the subject by way of the fundamental theorem of calculus. After the discussion of differentiation and integration, I have included some of the basics of differential equations and their applications so that the student can see how important the differential and integral calculus is to many different areas. The book contains an abundance of examples at every step and many exercises to help the student learn the subject. It has been titled "Introductory Calculus" because it is mainly about the single variable part of the subject, the portion devoted to real valued functions of a single variable, which is the starting point for most of the larger treatment of calculus. So we have a compact and rigorous introduction to calculus so that the student can quickly grasp the essential concepts and get a feel for the many applications of the subject.
Download or read book The Core Introductory Calculus As It Should Be written by and published by Intellecticious. This book was released on with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt:
