A Course in Mathematical Analysis by Edouard Goursat and Earle Raymond Hedrick pdf free download

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A Course in Mathematical Analysis by Edouard Goursat and Earle Raymond Hedrick pdf free download

A Course in Mathematical Analysis by Edouard Goursat and Earle Raymond Hedrick pdf free download. This book contains, with slight variations, the material given in my course at the University of Paris. I have modified somewhat the order followed in the lectures for the sake of uniting in a single volume all that has to do with functions of real variables, except the theory of differential equations. The differential notation not being treated in the Classe de Mathematiques speciales.

A Course in Mathematical Analysis by Edouard Goursat and Earle Raymond Hedrick pdf free download

I have treated this notation from the beginning, and have presupposed only a knowledge of the formal rules for calculating derivatives. Since mathematical analysis is essentially the science of the continuum, it would seem that every course in analysis should begin, logically, with the study of irrational numbers. I have supposed, however, that the student is already familiar with that subject. The
theory of incommensurable numbers is treated in so many excellent well-known works f that I have thought it useless to enter upon such
a discussion. As for the other fundamental notions which lie at the basis of analysis, such as the upper limit, the definite integral, the double integral, etc.

A Course in Mathematical Analysis by Edouard Goursat and Earle Raymond Hedrick pdf free download

I have endeavored to treat them with all desirable rigor, seeking to retain the elementary character of the work, and to avoid generalizations which would be superfluous in a book intended for purposes of instruction. Certain paragraphs which are printed in smaller type than the body of the book contain either problems solved in detail or else supplementary matter which the reader may omit at the first reading without inconvenience. Each chapter is followed by a list of examples which are directly illustrative of the methods treated in the chapter. Most of these examples have been set in examina tions. Certain others, which are designated by an asterisk, are somewhat more difficult. The latter are taken, for the most part, from original memoirs to which references are made. Two of my old students at the Ecole Normale, M. Emile Cotton and M. Jean Clairin, have kindly assisted in the correction of proofs ; I take this occasion to tender them my hearty thanks.

A Course in Mathematical Analysis by Edouard Goursat and Earle Raymond Hedrick pdf free download

A Course in Mathematical Analysis by Edouard Goursat and Earle Raymond Hedrick pdf free download


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