Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download A Guide to Cauchy's Calculus PDF full book. Access full book title A Guide to Cauchy's Calculus by Dennis M. Cates. Download full books in PDF and EPUB format.
Author: Dennis M. Cates Publisher: ISBN: 9780983883708 Category : Calculus Languages : en Pages : 616
Book Description
This book is the first to describe in detail a community of potters working for the Jagannatha Temple in Puri, and to explore how the role of temple servant affects the potters' understanding of their work and of themselves. As a pilgrimage centre of national importance, supported by the patronage of successive regional dynasties and by fervent popular belief, the Jagannatha Temple requires earthenware in great quantities for the creation and distribution of the sacred food that is an integral feature of daily ritual and pilgrimage. Three hundred potters participate as temple servants in maintaining the temple's ritual cycle by performing their divinely assigned task. This study, conducted in 1979-1981, observes the potters' technical prowess, sustained by devotion, but also examines the tensions within their relationships to more powerful temple servants and authorities. The role of the potter as temple servant is at once glorious, as demonstrated by texts and personal interpretations of the potters' divinely-appointed service, and pathetic, as shown in the brutality of caste-based hierarchy and cash-based exchange penetrating the modern temple's daily operations.
Author: Dennis M. Cates Publisher: ISBN: 9780983883708 Category : Calculus Languages : en Pages : 616
Book Description
This book is the first to describe in detail a community of potters working for the Jagannatha Temple in Puri, and to explore how the role of temple servant affects the potters' understanding of their work and of themselves. As a pilgrimage centre of national importance, supported by the patronage of successive regional dynasties and by fervent popular belief, the Jagannatha Temple requires earthenware in great quantities for the creation and distribution of the sacred food that is an integral feature of daily ritual and pilgrimage. Three hundred potters participate as temple servants in maintaining the temple's ritual cycle by performing their divinely assigned task. This study, conducted in 1979-1981, observes the potters' technical prowess, sustained by devotion, but also examines the tensions within their relationships to more powerful temple servants and authorities. The role of the potter as temple servant is at once glorious, as demonstrated by texts and personal interpretations of the potters' divinely-appointed service, and pathetic, as shown in the brutality of caste-based hierarchy and cash-based exchange penetrating the modern temple's daily operations.
Author: Judith V. Grabiner Publisher: Courier Corporation ISBN: 0486143740 Category : Mathematics Languages : en Pages : 274
Book Description
This text examines the reinterpretation of calculus by Augustin-Louis Cauchy and his peers in the 19th century. These intellectuals created a collection of well-defined theorems about limits, continuity, series, derivatives, and integrals. 1981 edition.
Author: Dennis M. Cates Publisher: Springer ISBN: 3030110362 Category : Mathematics Languages : en Pages : 267
Book Description
This book is a complete English translation of Augustin-Louis Cauchy's historic 1823 text (his first devoted to calculus), Résumé des leçons sur le calcul infinitésimal, "Summary of Lectures on the Infinitesimal Calculus," originally written to benefit his École Polytechnique students in Paris. Within this single text, Cauchy succinctly lays out and rigorously develops all of the topics one encounters in an introductory study of the calculus, from his classic definition of the limit to his detailed analysis of the convergence properties of infinite series. In between, the reader will find a full treatment of differential and integral calculus, including the main theorems of calculus and detailed methods of differentiating and integrating a wide variety of functions. Real, single variable calculus is the main focus of the text, but Cauchy spends ample time exploring the extension of his rigorous development to include functions of multiple variables as well as complex functions. This translation maintains the same notation and terminology of Cauchy's original work in the hope of delivering as honest and true a Cauchy experience as possible so that the modern reader can experience his work as it may have been like 200 years ago. This book can be used with advantage today by anyone interested in the history of the calculus and analysis. In addition, it will serve as a particularly valuable supplement to a traditional calculus text for those readers who desire a way to create more texture in a conventional calculus class through the introduction of original historical sources.
Author: G. N. Watson Publisher: ISBN: Category : Mathematics Languages : en Pages : 100
Book Description
Originally published in 1914, this book provides a concise proof of Cauchy's Theorem, with applications of the theorem to the evaluation of definite integrals.
Author: J. Michael Steele Publisher: Cambridge University Press ISBN: 9780521546775 Category : Mathematics Languages : en Pages : 320
Book Description
This lively, problem-oriented text, first published in 2004, is designed to coach readers toward mastery of the most fundamental mathematical inequalities. With the Cauchy-Schwarz inequality as the initial guide, the reader is led through a sequence of fascinating problems whose solutions are presented as they might have been discovered - either by one of history's famous mathematicians or by the reader. The problems emphasize beauty and surprise, but along the way readers will find systematic coverage of the geometry of squares, convexity, the ladder of power means, majorization, Schur convexity, exponential sums, and the inequalities of Hölder, Hilbert, and Hardy. The text is accessible to anyone who knows calculus and who cares about solving problems. It is well suited to self-study, directed study, or as a supplement to courses in analysis, probability, and combinatorics.
Author: Frank Smithies Publisher: Cambridge University Press ISBN: 9780521592789 Category : Mathematics Languages : en Pages : 242
Book Description
Dr Smithies' analysis of the process whereby Cauchy created the basic structure of complex analysis, begins by describing the 18th century background. He then proceeds to examine the stages of Cauchy's own work, culminating in the proof of the residue theorem. Controversies associated with the the birth of the subject are also considered in detail. Throughout, new light is thrown on Cauchy's thinking during this watershed period. This authoritative book is the first to make use of the whole spectrum of available original sources.
Author: Dennis M. Cates Publisher: Springer ISBN: 9783030110352 Category : Mathematics Languages : en Pages : 267
Book Description
This book is a complete English translation of Augustin-Louis Cauchy's historic 1823 text (his first devoted to calculus), Résumé des leçons sur le calcul infinitésimal, "Summary of Lectures on the Infinitesimal Calculus," originally written to benefit his École Polytechnic students in Paris. Within this single text, Cauchy succinctly lays out and rigorously develops all of the topics one encounters in an introductory study of the calculus, from his classic definition of the limit to his detailed analysis of the convergence properties of infinite series. In between, the reader will find a full treatment of differential and integral calculus, including the main theorems of calculus and detailed methods of differentiating and integrating a wide variety of functions. Real, single variable calculus is the main focus of the text, but Cauchy spends ample time exploring the extension of his rigorous development to include functions of multiple variables as well as complex functions. This translation maintains the same notation and terminology of Cauchy's original work in the hope of delivering as honest and true a Cauchy experience as possible so that the modern reader can experience his work as it may have been like 200 years ago. This book can be used with advantage today by anyone interested in the history of the calculus and analysis. In addition, it will serve as a particularly valuable supplement to a traditional calculus text for those readers who desire a way to create more texture in a conventional calculus class through the introduction of original historical sources.
Author: G. N. Watson Publisher: Courier Corporation ISBN: 0486488144 Category : Mathematics Languages : en Pages : 98
Book Description
Brief monograph by a distinguished mathematician offers a single-volume compilation of propositions employed in proofs of Cauchy's theorem. Includes applications to the calculus of residues. 1914 edition.
Author: John Michael Steele Publisher: ISBN: Category : Inequalities (Mathematics) Languages : en Pages : 306
Book Description
Using the Cauchy-Schwarz inequality as the initial guide, this text explains the concepts of mathematical inequalities by presenting a sequence of problems as they might have been discovered, the solutions to which can either be found with one of history's great mathematicians or by the reader themselves.
Author: Dennis M. Cates
Author: Dennis M. Cates
Author: Judith V. Grabiner
Author: Dennis M. Cates
Author: Augustin Louis Baron Cauchy
Author: G. N. Watson
Author: J. Michael Steele
Author: Frank Smithies
Author: Dennis M. Cates
Author: G. N. Watson
Author: John Michael Steele