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.

Author: Shanti Narayan

Publisher: S. Chand Publishing

ISBN: 8121904714

Category: Mathematics

Page: 400

View: 580

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.

This text offers a synthesis of theory and application related to modern techniques of differentiation.

Author: Michael J. Field

Publisher: Courier Corporation

ISBN: 9780486497952

Category: Mathematics

Page: 315

View: 347

This text offers a synthesis of theory and application related to modern techniques of differentiation. Based on undergraduate courses in advanced calculus, the treatment covers a wide range of topics, from soft functional analysis and finite-dimensional linear algebra to differential equations on submanifolds of Euclidean space. Suitable for advanced undergraduate courses in pure and applied mathematics, it forms the basis for graduate-level courses in advanced calculus and differential manifolds. Starting with a brief resume of prerequisites, including elementary linear algebra and point set topology, the self-contained approach examines liner algebra and normed vector spaces, differentiation and calculus on vector spaces, and the inverse- and implicit-function theorems. A final chapter is dedicated to a consolidation of the theory as stated in previous chapters, in addition to an introduction to differential manifolds and differential equations.

The problem here suggested is inverse to that considered in the Differential Calculus . The discovery of such functions is the fundamental aim of the ...

THIS book is intended to provide the university student in the physical sciences with information about the differential calculus which he is likely to need.

Author: P. J. Hilton

Publisher: Springer

ISBN: UVA:X001245318

Category: Juvenile Nonfiction

Page: 57

View: 160

THIS book is intended to provide the university student in the physical sciences with information about the differential calculus which he is likely to need. The techniques described are presented with due regard for their theoretical basis; but the emphasis is on detailed discussion of the ideas of the differ ential calculus and on the avoidance of false statements rather than on complete proofs of all results. It is a frequent experi ence of the university lecturer that science students 'know how to differentiate', but are less confident when asked to say 'what ix means'. It is with the conviction that a proper understand ing of the calculus is actually useful in scientific work and not merely the preoccupation of pedantic mathematicians that this book has been written. The author wishes to thank his colleague and friend, Dr. W. Ledermann, for his invaluable suggestions during the prepara tion of this book. P. J. HILTON The University. Manchester . . . Contents PAGE Preface V CHAPTER I Introduction to Coordinate Geometry I 6 2 Rate of Change and Differentiation I. The meaning of 'rate of change' 6 2. Limits 9 3. Rules for differentiating IS 4. Formulae for differentiating 21 Exerc-bses 2 3 3 Maxima and Minima and Taylor's Theorem 34 I. Mean Value Theorem 34 2. Taylor's Theorem 41 3. Maxima and minima 45 4.

The material is based on courses given by the author at the Universite Pierre et Marie Claude. It includes a bibliography to which reference is made throughout the text.

Author: A. Avez

Publisher: John Wiley & Sons Incorporated

ISBN: UOM:39015059099187

Category: Mathematics

Page: 179

View: 941

The material is based on courses given by the author at the Universite Pierre et Marie Claude. It includes a bibliography to which reference is made throughout the text.

The current book constitutes just the first 9 out of 27 chapters. The remaining chapters will be published at a later time.

Author: Euler

Publisher: Springer Science & Business Media

ISBN: 0387985344

Category: Mathematics

Page: 194

View: 984

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.

In the latter a way of investigating integrals of given differentials is shown. ... In differentio-differential calculus the methods of finding second and ...

Author: Euler

Publisher: Springer Science & Business Media

ISBN: 9780387226453

Category: Mathematics

Page: 194

View: 593

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.

Supplementary to a Treatise on Differential Calculus William Elwood Byerly. CHAPTER VI . CURVATURE . Evolutes . 4 problems . CHAPTER VII . THE Cycloid .

Author: Wesley Stoker Barker WoolhousePublish On: 1854

effect the same as the inverse processes of integrating differentials and differential equations in the Integral Calculus . And these abstract analytical ...

Author: Wesley Stokes Baker WoolhousePublish On: 1852

effect the same as the inverse processes of integrating differentials and differential equations in the Integral Calculus . And these abstract analytical ...

differential coefficient , because it is the coefficient of dx in the equation d . f ... Hence we may describe the Differential Calculus as follows : The ...

Also , if we take any one of the differential equations of the second order , differentiate once , and eliminate the constant involved in these two ...

Finally both Newton and Leibnitz devoted their full attention to the Differential Calculus . Both of them explained the theory in different and independent ...

( 2 ) [ :: log efx ) = f ( x ) } ] Also , Taking logarithms on both sides , we get log y = log esin 2t log y = sin 2t Square and add equations ( 1 ) and ( 2 ) ...

Author: Y. RĀMACHANDRA (Son of Sundara Lāla.)Publish On: 1863

... or of comparing the elementary applications to Geometry in the best and latest work on the Differential Calculus , according to the method of Lagrange ...

Author: Wesley Stoker Barker WoolhousePublish On: 1874

effect the same as the inverse processes of integrating differentials and differential equations in the Integral Calculus , And these abstract analytical ...

In the preceding examples we considered only the case of a single independent variable ; the differential equations arrived at in such cases are called ...