Foundations Of Differential Calculus
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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.
The positive response to the publication of Blanton's English translations of Euler's "Introduction to Analysis of the Infinite" confirmed the relevance of this 240 year old work and encouraged Blanton to translate Euler's "Foundations of Differential Calculus" as well. The current book constitutes just the first 9 out of 27 chapters. The remaining chapters will be published at a later time. With this new translation, Euler's thoughts will not only be more accessible but more widely enjoyed by the mathematical community.
Introduction To Differential Calculus
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Author : Ulrich L. Rohde
language : en
Publisher: John Wiley & Sons
Release Date : 2012-01-12
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 2012-01-12 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.
Local Analysis
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Author : Carl-Heinz Scriba
language : en
Publisher: Wiley-VCH
Release Date : 1994-09-20
Local Analysis written by Carl-Heinz Scriba and has been published by Wiley-VCH this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-09-20 with Mathematics categories.
The first part of "Local Analysis" is selfconsistent and provides a detailed introduction to those parts of finitedimensional real calculus which do with multidimensional differentiation and only onedimensional integration (over directed intervals). The exposition is coordinate-free and avoids both dependent variables and differentials by exclusively using the concepts function and derivative. The reader is assumed to be familiar with onedimensional calculus and linear algebra only so that the book primarily turns to students of mathematics, physics, and engineering from the second year of study on as well as to their academic teachers. And since complete solutions are added to the exercises, the book is also best suitable for private study.
Foundations Of Iso Differential Calculus
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Author : Svetlin Georgiev
language : en
Publisher:
Release Date : 2014
Foundations Of Iso Differential Calculus written by Svetlin Georgiev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with MATHEMATICS categories.
Foundations Of Iso Differential Calculus
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Author : Svetlin Georgiev
language : en
Publisher:
Release Date : 2015-05
Foundations Of Iso Differential Calculus written by Svetlin Georgiev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05 with Differential calculus categories.
This book is intended for readers who have had or currently have a course in difference equations or iso-differential calculus. It can be used for a senior undergraduate course. Chapter 1 deals with the linear first-order iso-difference equations, equilibrium points, eventually equilibrium points, periodic points and cycles. Chapter 2 are introduces iso-difference calculus and the general theory of the linear homogeneous and nonhomogeneous iso-difference equations. Chapter 3 studies the systems of linear iso-difference equations and the linear periodic systems. Chapter 4 is devoted to the stability theory. They are considered the nonautonomous linear systems, Lyapunov's direct method, and stability by linear approximation. Chapter 5 discusses the oscillation theory. The oscillation theory is defined as the iso-self-adjoint second-order iso-difference equations and they are given some of their properties. They are considered some classes of nonlinear iso-difference equations. Chapter 6 studies the asymptotic behavior of some classes of iso-difference equations. Time scales iso-calculus is introduced in Chapter 7. They are given the main properties of the backward and forward jump iso-operators. They are considered the iso-differentiation and iso-integration. They are introduced as the iso-Hilger's complex plane and the iso-exponential function
Differential Calculus Problems And Solutions From Fundamentals To Nuances
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Author : Veselin Jungic
language : en
Publisher: World Scientific
Release Date : 2023-12-05
Differential Calculus Problems And Solutions From Fundamentals To Nuances written by Veselin Jungic and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-05 with Mathematics categories.
This volume contains more than 900 problems in differential calculus, covering limits, continuity, derivatives, and their applications. The applications are comprised of a variety of approximations, growth and decay, optimization, curve sketching techniques, and analytical tools to investigate properties of parametrically given planar curves. The problems are sorted by topic, each opening with with a summary of the relevant mathematical notions and their properties. Through a careful selection of appropriate problems in each chapter, the book clearly communicates some of the big ideas and applications in calculus: the notion of a function, the notion of an infinitesimal, the notion of a differentiable function, and the notion of an approximation, among others. The book provides the answers to each problem, often with a detailed sketch of the solution process.With about 260 true-false and multiple-choice questions, the book provides its users with an accessible way to assess and practice their understanding of calculus related facts and nuances. More than 180 figures are included to help readers to visualize properties of functions, illustrate word problems, depict solutions, and provide an extensive bank of polar curves.The purpose of this problem collection is to serve as a supplementary learning resource for students who are studying university-level differential calculus. The book also acts as a teaching resource for calculus instructors.
Foundations Of Differential Geodesy
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Author : Joseph Zund
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Foundations Of Differential Geodesy written by Joseph Zund 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 2012-12-06 with Science categories.
Differential geodesy is concerned with the geometry of the gravity field of the Earth, which is of fundamental importance to both theoretical geodesy and geophysics. This monograph presents a unified treatment of the foundations of differential geodesy as proposed originally by Antonio Marussi and Martin Hotine in their work. The principal features of the Marussi-Hotine approach to theoretical aspects are given in the first five chapters (based on leg calculus), while the last five chapters are devoted to the fundamental ideas of the Marussi and Hotine theory. The text includes practical problems and is intended for use by research geodesists, graduate students in geodesy, and theoretical geophysicists.
Foundations Of Iso Differential Calculus Volume 5
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Author : Svetlin Georgiev
language : en
Publisher: Nova Science Publishers
Release Date : 2015-04-16
Foundations Of Iso Differential Calculus Volume 5 written by Svetlin Georgiev and has been published by Nova Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-16 with Differential calculus categories.
This book is intended for readers who have had a course in iso-differential calculus and theory of probability. It can be used for a senior undergraduate course.
Quick Calculus
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Author : Daniel Kleppner
language : en
Publisher: John Wiley & Sons
Release Date : 2022-04-19
Quick Calculus written by Daniel Kleppner 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 2022-04-19 with Mathematics categories.
Discover an accessible and easy-to-use guide to calculus fundamentals In Quick Calculus: A Self-Teaching Guide, 3rd Edition, a team of expert MIT educators delivers a hands-on and practical handbook to essential calculus concepts and terms. The author explores calculus techniques and applications, showing readers how to immediately implement the concepts discussed within to help solve real-world problems. In the book, readers will find: An accessible introduction to the basics of differential and integral calculus An interactive self-teaching guide that offers frequent questions and practice problems with solutions. A format that enables them to monitor their progress and gauge their knowledge This latest edition provides new sections, rewritten introductions, and worked examples that demonstrate how to apply calculus concepts to problems in physics, health sciences, engineering, statistics, and other core sciences. Quick Calculus: A Self-Teaching Guide, 3rd Edition is an invaluable resource for students and lifelong learners hoping to strengthen their foundations in calculus.
Foundations Of Iso Differential Calculus Volume I Second Revised And Updated Edition
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Author : Svetlin Georgiev
language : en
Publisher: Nova Science Publishers
Release Date : 2022
Foundations Of Iso Differential Calculus Volume I Second Revised And Updated Edition written by Svetlin Georgiev and has been published by Nova Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with Mathematics categories.
"This is the second edition of Foundations of Iso-Differential Calculus, volume 1, which gives an overview of the development of iso-differential calculus. The second edition introduces a new class of iso-functions, named iso-functions of the fifth kind. Also, further examples, exercises and problems have been added. Chapter 1 reviews Ruggero Maria Santilli's scientific journey, identifying its most important references. Chapter 2 introduces iso-real numbers, some basic functions and their properties. Chapter 3 defines sequences of iso-real numbers and deduces their properties. Chapter 4 gives definitions for five kinds of iso-functions and outlines their properties. Chapter 5 introduces the limits of iso-functions and continuous iso-functions. Chapter 6 presents the first comprehensive study of iso-differential calculus for the specific intent of showing its non-triviality. Chapter 7 reflects integral calculus in the language of iso-mathematics. Lastly, Chapter 8 outlines the isodual iso-mathematics and presents the first comprehensive study of isodual iso-differential calculus"--