Higher Order Derivatives

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Higher Order Derivatives
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Author : Satya Mukhopadhyay
language : en
Publisher: CRC Press
Release Date : 2012-01-25
Higher Order Derivatives written by Satya Mukhopadhyay and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-25 with Mathematics categories.
The concept of higher order derivatives is useful in many branches of mathematics and its applications. As they are useful in many places, nth order derivatives are often defined directly. Higher Order Derivatives discusses these derivatives, their uses, and the relations among them. It covers higher order generalized derivatives, including the Peano, d.l.V.P., and Abel derivatives; along with the symmetric and unsymmetric Riemann, Cesàro, Borel, LP-, and Laplace derivatives. Although much work has been done on the Peano and de la Vallée Poussin derivatives, there is a large amount of work to be done on the other higher order derivatives as their properties remain often virtually unexplored. This book introduces newcomers interested in the field of higher order derivatives to the present state of knowledge. Basic advanced real analysis is the only required background, and, although the special Denjoy integral has been used, knowledge of the Lebesgue integral should suffice.
Yet Another Calculus Text
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Author : Dan Sloughter
language : en
Publisher: Orange Grove Texts Plus
Release Date : 2009-09-24
Yet Another Calculus Text written by Dan Sloughter and has been published by Orange Grove Texts Plus this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-24 with categories.
Communications And Cryptography
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Author : Richard E. Blahut
language : en
Publisher: Springer Science & Business Media
Release Date : 1994-06-30
Communications And Cryptography written by Richard E. Blahut 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 1994-06-30 with Technology & Engineering categories.
Information theory is an exceptional field in many ways. Technically, it is one of the rare fields in which mathematical results and insights have led directly to significant engineering payoffs. Professionally, it is a field that has sustained a remarkable degree of community, collegiality and high standards. James L. Massey, whose work in the field is honored here, embodies the highest standards of the profession in his own career. The book covers the latest work on: block coding, convolutional coding, cryptography, and information theory. The 44 contributions represent a cross-section of the world's leading scholars, scientists and researchers in information theory and communication. The book is rounded off with an index and a bibliography of publications by James Massey.
Evaluating Derivatives
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Author : Andreas Griewank
language : en
Publisher: SIAM
Release Date : 2008-11-06
Evaluating Derivatives written by Andreas Griewank and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-06 with Mathematics categories.
This title is a comprehensive treatment of algorithmic, or automatic, differentiation. The second edition covers recent developments in applications and theory, including an elegant NP completeness argument and an introduction to scarcity.
Higher Order Derivatives
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Author : Satya Mukhopadhyay
language : en
Publisher: Chapman and Hall/CRC
Release Date : 2012-01-25
Higher Order Derivatives written by Satya Mukhopadhyay and has been published by Chapman and Hall/CRC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-25 with Mathematics categories.
The concept of higher order derivatives is useful in many branches of mathematics and its applications. As they are useful in many places, nth order derivatives are often defined directly. Higher Order Derivatives discusses these derivatives, their uses, and the relations among them. It covers higher order generalized derivatives, including the Pea
Calculus I The Derivative And Its Applications
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Author : Patrick Clark
language : en
Publisher: Quantum Scientific Publishing
Release Date : 2023-08-12
Calculus I The Derivative And Its Applications written by Patrick Clark and has been published by Quantum Scientific Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-12 with Mathematics categories.
Calculus I: The Derivative and Its Applications uniquely addresses all of the rules and applications of Differential Calculus necessary for the AP Calculus AB and BC courses. The material is presented in a modular format of 90 lessons that allows maximum flexibility for the student and the teacher. Lessons begin with the precalculus topics of functions and limits, discuss the definition of the derivative and all differentiation rules, and investigate applications of the derivative including curve sketching, optimization, and differentials. The lessons are designed to be rigorous enough for the serious student, yet user-friendly enough for the independent learner. All lessons include worked examples as well as exercises with solutions.
Multivariable Calculus
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Author : L. Corwin
language : en
Publisher: CRC Press
Release Date : 1982-01-29
Multivariable Calculus written by L. Corwin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982-01-29 with Mathematics categories.
This book provides an introduction to calculus of functions of several variables. It covers the notions including continuity, differentiation, multiple integrals, line and surface integrals, differential forms, and infinite series. The book is intended for use in an advanced calculus course.
Calculus Concept And Applications
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Author : Dr. Sivasankar
language : en
Publisher: Shineeks Publishers
Release Date : 2024-05-21
Calculus Concept And Applications written by Dr. Sivasankar and has been published by Shineeks Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-21 with Education categories.
Calculus is a cornerstone of modern mathematics and serves as a vital tool for understanding the world around us. From modeling the growth of populations to predicting the trajectory of rockets, the concepts of calculus are deeply embedded in the fabric of science, engineering, economics, and numerous other fields. This book, Introduction to Calculus, is designed to offer a comprehensive yet accessible exploration of calculus, bridging foundational theory with practical applications. The journey begins with a focus on the Introduction to Calculus, offering a conceptual framework by exploring rates of change, the historical context of its development, and its significance in various disciplines. This historical perspective not only situates calculus within the broader narrative of mathematical discovery but also demonstrates its lasting impact on various scientific and engineering endeavors. In subsequent chapters, we delve deeper into key topics that form the core of calculus. The chapter on Functions and Limits establishes the groundwork by explaining fundamental concepts such as functions, types of functions, and limits. These ideas serve as the building blocks for the study of Differentiation and Integration, where the rules and techniques are systematically explored. Each chapter is structured to introduce new concepts gradually, followed by relevant applications—optimization, curve sketching, and areas under curves—to show the tangible use of calculus in real-world problem-solving. Beyond the basics, the book expands to cover more advanced topics. The chapters on Differential Equations introduce first-order equations and their practical applications, while Sequences and Series provide insights into the behavior of infinite processes, such as Taylor and Maclaurin series. A special section on Multivariable Calculus addresses functions of several variables, partial derivatives, and vector calculus, extending the scope of the reader’s understanding into more complex dimensions. Recognizing the interdisciplinary nature of calculus, we have included a chapter dedicated to its applications in Science and Engineering. This section illustrates how calculus supports the exploration of phenomena in physics, engineering, economics, and biology, emphasizing its broad relevance. The final chapters introduce readers to Advanced Topics in Calculus, including nonlinear differential equations, Laplace transforms, and Fourier series, as well as computational tools such as MATLAB, Mathematica, and Python. These computational tools allow readers to apply numerical methods and visualize calculus problems in ways that were previously unimaginable. The aim of this book is to provide a clear, structured, and engaging approach to learning calculus, regardless of the reader’s background or experience level. Whether you are a student embarking on your first encounter with calculus or a professional looking to refresh your knowledge, we hope this book will guide you through both the theoretical and practical aspects of the subject. We encourage you to engage deeply with the exercises and real-world applications provided in each chapter. By doing so, you will not only master the fundamental concepts but also gain an appreciation for the elegance and power of calculus.
Invariant Variational Principles
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Author : Logan
language : en
Publisher: Academic Press
Release Date : 1978-02-22
Invariant Variational Principles written by Logan and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978-02-22 with Mathematics categories.
Invariant Variational Principles
Mastering Calculus
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Author : Cybellium
language : en
Publisher: Cybellium Ltd
Release Date :
Mastering Calculus written by Cybellium and has been published by Cybellium Ltd this book supported file pdf, txt, epub, kindle and other format this book has been release on with Computers categories.
Beginner to expert level book to master Calculus.