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Author: Brook Taylor
Publisher:
ISBN: 9780598984364
Category :
Languages : en
Pages : 0
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Book Description
Author: Brook Taylor
Publisher:
ISBN: 9780598984364
Category :
Languages : en
Pages : 0
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Book Description
Author: Carl B. Boyer
Publisher: Courier Corporation
ISBN: 0486175383
Category : Mathematics
Languages : en
Pages : 369
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Book Description
Fluent description of the development of both the integral and differential calculus — its early beginnings in antiquity, medieval contributions, and a consideration of Newton and Leibniz.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 328
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Book Description
Author: Walter William Rouse Ball
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 580
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Book Description
Author: Florian Cajori
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 342
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Book Description
Author: William C. Bauldry
Publisher: Springer Nature
ISBN: 3031296583
Category : Mathematics
Languages : en
Pages : 117
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Book Description
This book offers readers the methods that are necessary to apply the power of calculus to analyze real problems. While most calculus textbooks focus on formula-based calculus, this book explains how to do the analysis of calculus, rates of change, and accumulation from data. The author’s introductory approach prepares students with the techniques to handle numerically-based problems in more advanced classes or in real-world applications. This self-contained book uses the computer algebra system Maple for computation, and the material is easily adaptable for calculators or other computer algebra systems. The author includes historical context and example exercises throughout the book in order to provide readers with a thorough understanding of the topic. This book: Prepares students with the techniques to handle numerically-based problems in in real-world applications Provides historical context and example exercises to give a thorough understanding of the topic Utilizes Maple for computation and is adaptable for calculators or other computer algebra systems
Author: Richard Herrmann
Publisher: World Scientific
ISBN: 9814551090
Category : Science
Languages : en
Pages : 500
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Book Description
The book presents a concise introduction to the basic methods and strategies in fractional calculus and enables the reader to catch up with the state of the art in this field as well as to participate and contribute in the development of this exciting research area.The contents are devoted to the application of fractional calculus to physical problems. The fractional concept is applied to subjects in classical mechanics, group theory, quantum mechanics, nuclear physics, hadron spectroscopy and quantum field theory and it will surprise the reader with new intriguing insights.This new, extended edition now also covers additional chapters about image processing, folded potentials in cluster physics, infrared spectroscopy and local aspects of fractional calculus. A new feature is exercises with elaborated solutions, which significantly supports a deeper understanding of general aspects of the theory. As a result, this book should also be useful as a supporting medium for teachers and courses devoted to this subject.
Author: Pierre-Simon Laplace
Publisher: Springer Science & Business Media
ISBN: 1461241847
Category : Mathematics
Languages : en
Pages : 286
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Book Description
Pierre-Simon Laplace (1749-1827) is remembered among probabilitists today particularly for his "Theorie analytique des probabilites", published in 1812. The "Essai philosophique dur les probabilites" is his introduction for the second edition of this work. Here Laplace provided a popular exposition on his "Theorie". The "Essai", based on a lecture on probability given by Laplace in 1794, underwent sweeping changes, almost doubling in size, in the various editions published during Laplace's lifetime. Translations of various editions in different languages have apeared over the years. The only English translation of 1902 reads awkwardly today. This is a thorough and modern translation based on the recent re-issue, with its voluminous notes, of the fifth edition of 1826, with preface by Rene Thom and postscript by Bernard Bru. In the second part of the book, the reader is provided with an extensive commentary by the translator including valuable histographical and mathematical remarks and various proofs.
Author: Jacqueline Stedall
Publisher: Oxford University Press
ISBN: 0199226903
Category : Mathematics
Languages : en
Pages : 676
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Book Description
This book examines the development of mathematics from the late 16th Century to the end of the 19th Century. Each chapter will focus on a particular topic and outline its history with the provision of facsimiles of primary source material along with explanatory notes and modern interpretations.
Author: Werner Römisch
Publisher: Springer
ISBN: 3319427555
Category : Computers
Languages : en
Pages : 722
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Book Description
This book is a comprehensive, unifying introduction to the field of mathematical analysis and the mathematics of computing. It develops the relevant theory at a modern level and it directly relates modern mathematical ideas to their diverse applications. The authors develop the whole theory. Starting with a simple axiom system for the real numbers, they then lay the foundations, developing the theory, exemplifying where it's applicable, in turn motivating further development of the theory. They progress from sets, structures, and numbers to metric spaces, continuous functions in metric spaces, linear normed spaces and linear mappings; and then differential calculus and its applications, the integral calculus, the gamma function, and linear integral operators. They then present important aspects of approximation theory, including numerical integration. The remaining parts of the book are devoted to ordinary differential equations, the discretization of operator equations, and numerical solutions of ordinary differential equations. This textbook contains many exercises of varying degrees of difficulty, suitable for self-study, and at the end of each chapter the authors present more advanced problems that shed light on interesting features, suitable for classroom seminars or study groups. It will be valuable for undergraduate and graduate students in mathematics, computer science, and related fields such as engineering. This is a rich field that has experienced enormous development in recent decades, and the book will also act as a reference for graduate students and practitioners who require a deeper understanding of the methodologies, techniques, and foundations.
