The Theory of Functions of a Real Variable and the Theory of Fourier's Series, Vol. 1 (Classic Reprint) - Couverture souple
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Excerpt from The Theory of Functions of a Real Variable and the Theory of Fourier's Series
On controversial matters connected with the fundamentals of the Theory of Aggregates, the considerable diversity of Opinion which has arisen amongst Mathematicians has been taken into account, but in general no attempt has been made to give dogmatic decisions between opposed opinions. In view of the delicate questions which arise as to the legitimacy and meaning of the axiom known as the Multiplicative Axiom, or as the Principle of Zermelo, the policy has been adopted of so framing the proofs of theorems as to avoid an appeal to the axiom, whenever that course appeared to be possible; in other cases, the necessity for the employment of the axiom has been pointed out.
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The Theory of Functions of a Real Variable and the Theory of Fourier's Series
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Paperback. Etat : New. Print on Demand. This book delves into the intricate world of mathematical analysis, specifically focusing on the theory of functions of a real variable. It provides a comprehensive exploration of this theory's evolution, tracing its roots back to the challenges posed by Fourier series and the need for a rigorous understanding of concepts like continuity and limits. The author meticulously examines the foundations of real numbers, delving into the theories of Cantor and Dedekind, and constructs a framework for understanding sets of points and their properties. The book delves into the complexities of functions, their classifications, and their representation through series. A significant portion is dedicated to the exploration of Fourier series, reflecting their historical importance in shaping the field. Integration, a cornerstone of calculus, is thoroughly examined, encompassing both the Riemann and Lebesgue approaches. The author's dedication to clarity and accessibility makes this book a valuable resource for both students and mathematicians seeking a deeper understanding of the theory of functions. By unraveling the intricacies of mathematical analysis, this book offers invaluable insights into the fundamental principles that underpin our understanding of the continuous and the infinite. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. N° de réf. du vendeur 9781330135020_0
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The Theory of Functions of a Real Variable and the Theory of Fourier's Series, Vol. 1 (Classic Reprint)
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PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781330135020
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The Theory of Functions of a Real Variable and the Theory of Fourier's Series, Vol. 1 (Classic Reprint)
Vendeur : PBShop.store UK, Fairford, GLOS, Royaume-Uni
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PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781330135020
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The Theory of Functions of a Real Variable and the Theory of Fourier*s Series, Vol. 1 (Classic Reprint)
Vendeur : Mispah books, Redhill, SURRE, Royaume-Uni
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Paperback. Etat : New. NEW. SHIPS FROM MULTIPLE LOCATIONS. book. N° de réf. du vendeur ERICA79013301350246
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