Differential Calculus
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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.
Foundations Of Differential Calculus
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Author : Euler
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-05-04
Foundations Of Differential Calculus written by Euler and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-04 with Mathematics categories.
What differential calculus, and, in general, analysis ofthe infinite, might be can hardly be explainedto those innocent ofany knowledge ofit. Nor can we here offer a definition at the beginning of this dissertation as is sometimes done in other disciplines. It is not that there is no clear definition of this calculus; rather, the fact is that in order to understand the definition there are concepts that must first be understood. Besides those ideas in common usage, there are also others from finite analysis that are much less common and are usually explained in the courseofthe development ofthe differential calculus. For this reason, it is not possible to understand a definition before its principles are sufficiently clearly seen. In the first place, this calculus is concerned with variable quantities. Although every quantity can naturally be increased or decreased without limit, still, since calculus is directed to a certain purpose, we think of some quantities as being constantly thesame magnitude, while others change through all the .stages of increasing and decreasing. We note this distinc tion and call the former constant quantities and the latter variables. This characteristic difference is not required by the nature of things, but rather because of the special question addressed by the calculus.
Differential Calculus
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Author : H. S. Dhami
language : en
Publisher: New Age International
Release Date : 2007
Differential Calculus written by H. S. Dhami and has been published by New Age International this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with categories.
Differential Calculus, An Outgrowth Of The Problems Concerned With Slope Of Curved Lines And The Areas Enclosed By Them Has Developed So Much That Texts Are Required Which May Lead The Students Directly To The Heart Of The Subject And Prepare Them For Challenges Of The Field. The Present Book Is An Attempt In This Regard. An Excellent Book On Differential Calculus This Book Has Been Meticulously Planned And Numerous Solved Examples Have Been Selected To Make The Subject Interesting; Besides Problems Are Given At The End Of Each Main Theorem Which Supplement The Text And By Solving Them The Reader Can Judge His Level Of Understanding Of The Given Facts.Exercises Have Been Framed By Arranging Questions In Such A Manner That After Doing Illustrative Examples, One Should Not Feel Difficulty In Solving Any Problem. Considerable Material Has Been Included Here That Covers A Large Number Of Courses. This Has Been Done To Make The Book More Flexible, To Provide A Useful Book Of Reference And To Stimulate Further Interest In The Topics.
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.
Calculus With Applications
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Author : Peter D. Lax
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-09-21
Calculus With Applications written by Peter D. Lax and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-21 with Mathematics categories.
Burstein, and Lax's Calculus with Applications and Computing offers meaningful explanations of the important theorems of single variable calculus. Written with students in mathematics, the physical sciences, and engineering in mind, and revised with their help, it shows that the themes of calculation, approximation, and modeling are central to mathematics and the main ideas of single variable calculus. This edition brings the innovation of the first edition to a new generation of students. New sections in this book use simple, elementary examples to show that when applying calculus concepts to approximations of functions, uniform convergence is more natural and easier to use than point-wise convergence. As in the original, this edition includes material that is essential for students in science and engineering, including an elementary introduction to complex numbers and complex-valued functions, applications of calculus to modeling vibrations and population dynamics, and an introduction to probability and information theory.
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.
Differential Calculus
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Author : Shanti Narayan
language : en
Publisher: S. Chand Publishing
Release Date : 2005-03
Differential Calculus written by Shanti Narayan and has been published by S. Chand Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-03 with Mathematics categories.
This textbook commences with a brief outline of development of real numbers, their expression as infinite decimals and their representation by points along a line. While the first part of the textbook is analytical, the latter part deals with the geometrical applications of the subject. Numerous examples and exercises have been provided to support student's understanding. This textbook has been designed to meet the requirements of undergraduate students of BA and BSc courses.
Differential And Integral Calculus Volume 1
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Author : Richard Courant
language : en
Publisher: John Wiley & Sons
Release Date : 1988-02-23
Differential And Integral Calculus Volume 1 written by Richard Courant 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 1988-02-23 with Mathematics categories.
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.
Differential Calculus For Beginners
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Author : Joseph Edwards
language : en
Publisher:
Release Date : 1893
Differential Calculus For Beginners written by Joseph Edwards and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1893 with Differential calculus categories.
Differential Calculus An Elementary Treatise
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Author : Joseph Edwards
language : en
Publisher:
Release Date : 1892
Differential Calculus An Elementary Treatise written by Joseph Edwards and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1892 with categories.