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Author: G H Hardy
Publisher:
ISBN: 9781074116385
Category :
Languages : en
Pages : 78
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Book Description
From the PREFACETHIS tract has been long out of print, and there is still some demand for it. I did not publish a second edition before, because I intended to incorporate its contents in a larger treatise on the subject which I had arranged to write in collaboration with Dr. Bromwich. Four or five years have passed, and it seems very doubtful whether either of us will ever find the time to carry out our intention. I have therefore decided to republish the tract.The new edition differs from the first in one important point only. In the first edition I reproduced a proof of Abel's which Mr. J. E. Littlewood afterwards discovered to be invalid. The correction of this error has led me to rewrite a few sections (pp. 36-41 of the present edition) completely. The proof which I give now is due to Mr. H. T. J. Norton. I am also indebted to Mr. Norton, and to Mr. S. Pollard, for many other criticisms of a less important character.--G. H. H
Author: G H Hardy
Publisher:
ISBN: 9781074116385
Category :
Languages : en
Pages : 78
Get Book Here
Book Description
From the PREFACETHIS tract has been long out of print, and there is still some demand for it. I did not publish a second edition before, because I intended to incorporate its contents in a larger treatise on the subject which I had arranged to write in collaboration with Dr. Bromwich. Four or five years have passed, and it seems very doubtful whether either of us will ever find the time to carry out our intention. I have therefore decided to republish the tract.The new edition differs from the first in one important point only. In the first edition I reproduced a proof of Abel's which Mr. J. E. Littlewood afterwards discovered to be invalid. The correction of this error has led me to rewrite a few sections (pp. 36-41 of the present edition) completely. The proof which I give now is due to Mr. H. T. J. Norton. I am also indebted to Mr. Norton, and to Mr. S. Pollard, for many other criticisms of a less important character.--G. H. H
Author: Godfrey Harold Hardy
Publisher:
ISBN:
Category : Calculus, Integral
Languages : en
Pages : 76
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Book Description
Author: V. I. Krylov
Publisher: Courier Corporation
ISBN: 048615467X
Category : Mathematics
Languages : en
Pages : 372
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Book Description
An introduction to the principal ideas and results of the contemporary theory of approximate integration, this volume approaches its subject from the viewpoint of functional analysis. The 3-part treatment begins with concepts and theorems encountered in the theory of quadrature and then explores the problem of calculation of definite integrals and methods for the calculation of indefinite integral. 1962 edition.
Author: Stanley I. Grossman
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1166
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Book Description
Revised edition of a standard textbook for a three-semester (or four- to five-quarter) introduction to calculus. In addition to covering all the standard topics, it includes a number of features written to accomplish three goals: to make calculus easier through the use of examples, graphs, reviews, etc.; to help students appreciate the beauty of calculus through the use of applications in a wide variety of fields; and to make calculus interesting by discussing the historical development of the subject. Annotation copyright by Book News, Inc., Portland, OR
Author: William F. Trench
Publisher: Prentice Hall
ISBN: 9780130457868
Category : Applied mathematics
Languages : en
Pages : 0
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Book Description
Using an extremely clear and informal approach, this book introduces readers to a rigorous understanding of mathematical analysis and presents challenging math concepts as clearly as possible. The real number system. Differential calculus of functions of one variable. Riemann integral functions of one variable. Integral calculus of real-valued functions. Metric Spaces. For those who want to gain an understanding of mathematical analysis and challenging mathematical concepts.
Author: Soo Tang Tan
Publisher:
ISBN: 9781733649704
Category :
Languages : en
Pages :
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Book Description
Author: Miklós Laczkovich
Publisher: Springer
ISBN: 1493927663
Category : Mathematics
Languages : en
Pages : 486
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Book Description
Based on courses given at Eötvös Loránd University (Hungary) over the past 30 years, this introductory textbook develops the central concepts of the analysis of functions of one variable — systematically, with many examples and illustrations, and in a manner that builds upon, and sharpens, the student’s mathematical intuition. The book provides a solid grounding in the basics of logic and proofs, sets, and real numbers, in preparation for a study of the main topics: limits, continuity, rational functions and transcendental functions, differentiation, and integration. Numerous applications to other areas of mathematics, and to physics, are given, thereby demonstrating the practical scope and power of the theoretical concepts treated. In the spirit of learning-by-doing, Real Analysis includes more than 500 engaging exercises for the student keen on mastering the basics of analysis. The wealth of material, and modular organization, of the book make it adaptable as a textbook for courses of various levels; the hints and solutions provided for the more challenging exercises make it ideal for independent study.
Author: Alberto Guzman
Publisher: Springer Science & Business Media
ISBN: 9780817642747
Category : Mathematics
Languages : en
Pages : 346
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Book Description
This work provides a systematic examination of derivatives and integrals of multivariable functions. The approach taken here is similar to that of the author’s previous text, "Continuous Functions of Vector Variables": specifically, elementary results from single-variable calculus are extended to functions in several-variable Euclidean space. Topics encompass differentiability, partial derivatives, directional derivatives and the gradient; curves, surfaces, and vector fields; the inverse and implicit function theorems; integrability and properties of integrals; and the theorems of Fubini, Stokes, and Gauss. Prerequisites include background in linear algebra, one-variable calculus, and some acquaintance with continuous functions and the topology of the real line. Written in a definition-theorem-proof format, the book is replete with historical comments, questions, and discussions about strategy, difficulties, and alternate paths. "Derivatives and Integrals of Multivariable Functions" is a rigorous introduction to multivariable calculus that will help students build a foundation for further explorations in analysis and differential geometry.
Author: K.E. Hirst
Publisher: Springer Science & Business Media
ISBN: 9781852339401
Category : Mathematics
Languages : en
Pages : 284
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Book Description
Adopts a user-friendly approach, with an emphasis on worked examples and exercises, rather than abstract theory The computer algebra and graphical package MAPLE is used to illustrate many of the ideas and provides an additional aid to teaching and learning Supplementary material, including detailed solutions to exercises and MAPLE worksheets, is available via the web
Author: Bernard R. Gelbaum
Publisher: Courier Corporation
ISBN: 0486134911
Category : Mathematics
Languages : en
Pages : 226
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Book Description
These counterexamples deal mostly with the part of analysis known as "real variables." Covers the real number system, functions and limits, differentiation, Riemann integration, sequences, infinite series, functions of 2 variables, plane sets, more. 1962 edition.
