A Course in Mathematical Analysis PDF Download

Author: Edouard Goursat
Publisher:
ISBN:
Category : Calculus
Languages : en
Pages : 309

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Author: Princeton University. Library
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 124

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Author: Mariano Giaquinta
Publisher: Springer Science & Business Media
ISBN: 9780817643126
Category : Mathematics
Languages : en
Pages : 418

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Book Description
For more than two thousand years some familiarity with mathematics has been regarded as an indispensable part of the intellectual equipment of every cultured person. Today the traditional place of mathematics in education is in grave danger. Unfortunately, professional representatives of mathematics share in the reponsibiIity. The teaching of mathematics has sometimes degen erated into empty drill in problem solving, which may develop formal ability but does not lead to real understanding or to greater intellectual indepen dence. Mathematical research has shown a tendency toward overspecialization and over-emphasis on abstraction. Applications and connections with other fields have been neglected . . . But . . . understanding of mathematics cannot be transmitted by painless entertainment any more than education in music can be brought by the most brilliant journalism to those who never have lis tened intensively. Actual contact with the content of living mathematics is necessary. Nevertheless technicalities and detours should be avoided, and the presentation of mathematics should be just as free from emphasis on routine as from forbidding dogmatism which refuses to disclose motive or goal and which is an unfair obstacle to honest effort. (From the preface to the first edition of What is Mathematics? by Richard Courant and Herbert Robbins, 1941.

Author: Frank Moore Colby
Publisher:
ISBN:
Category :
Languages : en
Pages : 858

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Author: L. A. Lyusternik
Publisher: Elsevier
ISBN: 1483194361
Category : Mathematics
Languages : en
Pages : 419

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Mathematical Analysis: Functions, Limits, Series, Continued Fractions provides an introduction to the differential and integral calculus. This book presents the general problems of the theory of continuous functions of one and several variables, as well as the theory of limiting values for sequences of numbers and vectors. Organized into six chapters, this book begins with an overview of real numbers, the arithmetic linear continuum, limiting values, and functions of one variable. This text then presents the theory of series and practical methods of summation. Other chapters consider the theory of numerical series and series of functions and other analogous processes, particularly infinite continued fractions. This book discusses as well the general problems of the reduction of functions to orthogonal series. The final chapter deals with constants and the most important systems of numbers, including Bernoulli and Euler numbers. This book is a valuable resource for mathematicians, engineers, and research workers.

Author: Edouard Goursat
Publisher: Courier Corporation
ISBN: 0486446522
Category : Mathematics
Languages : en
Pages : 756

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Book Description
Classic three-volume study. Volume 1 covers applications to geometry, expansion in series, definite integrals, and derivatives and differentials. Volume 2 explores functions of a complex variable and differential equations. Volume 3 surveys variations of solutions and partial differential equations of the second order and integral equations and calculus of variations.

Author: Dirk Jan Struik
Publisher: Courier Corporation
ISBN: 9780486602554
Category : Mathematics
Languages : en
Pages : 260

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Book Description
This compact, well-written history covers major mathematical ideas and techniques from the ancient Near East to 20th-century computer theory, surveying the works of Archimedes, Pascal, Gauss, Hilbert, and many others. "The author's ability as a first-class historian as well as an able mathematician has enabled him to produce a work which is unquestionably one of the best." — Nature.

Author: Nancy D. Anderson
Publisher: American Mathematical Soc.
ISBN: 9780821801291
Category : Mathematics
Languages : en
Pages : 198

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Book Description
Intended for mathematics librarians, the list allows librarians to ascertain if a seminaire has been published, which library has it, and the forms of entry under which it has been cataloged.

Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 636

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Author: Stefan Bergman
Publisher: Courier Corporation
ISBN: 0486154653
Category : Mathematics
Languages : en
Pages : 450

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Book Description
Covers the theory of boundary value problems in partial differential equations and discusses a portion of the theory from a unifying point of view while providing an introduction to each branch of its applications. 1953 edition.