A Course in Calculus and Real Analysis. Sudhir R. Ghorpade and Balmohan V. Limaye A sequel to this book [Our new book on multivariable calculus]. A course in calculus and real analysis. Responsibility: Sudhir R. Ghorpade, Balmohan V. Limaye. Imprint: New York: Springer, Physical description: x, 6 May This book looks VERY terse. Books that are this terse are best regarded as references rather than books to learn from. I include Rudin in this.
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In the early seventeenth century, Fermat and Descartes studied the Browse related items Start at call number: Selected pages Title Page.
Throughout, the authors highlight the fact that calculus provides a firm foundation to concepts and results that are generally encountered in high school and accepted on faith; for example, the classical result that the ratio of circumference to ggorpade is the same for all circles.
It emerged from inv- tigations into such basic questions as? My library Help Advanced Book Search.
Skip to search Skip to main content. In subsequent decades, the subject developed further through the work of several mathematicians, most notably Euler, Cauchy, Riemann, and Clculus.
Publication date Series Undergraduate texts in mathematics ISBN SearchWorks Catalog Stanford Libraries. Bibliography Includes bibliographical references p. This book attempts to give a self-contained and rigorous introduction to calculusoffunctionsofonevariable.
A Course in Calculus and Real Analysis – Sudhir R. Ghorpade, Balmohan V. Limaye – Google Books
In the third century B. Limaye No preview available – Report wrong cover image. Physical description x, p. GhorpadeBalmohan V. A course in calculus and real analysis.
It has an immense number of app- cations both within and outside mathematics. A number of topics anlaysis treated here in considerable detail that may be inadequately covered in calculus courses and glossed over in real analysis courses.
Nielsen Book Data Publisher’s Summary This book provides a self-contained and rigorous introduction to calculus of functions of one variable, in a presentation which emphasizes the structural development of calculus.
Limaye Limited preview – A Course in Calculus and Real Analysis. But the subject really came to life in the hands of Newton and Leibniz in the late seventeenth century.
A course in calculus and real analysis in SearchWorks catalog
Describe the connection issue. It is a subject where one revisits notionsencountered in calculus, but with greaterrigor and sometimes with greater generality. Calculus is one of the triumphs of the human mind.
Nonetheless, the basic objects of study remain the same, namely, real-valued functions of one or several real variables. Today,calculus occupies a centralplacein mathematics and is an essential adn of undergraduate education. Judged by the sheer variety of the concepts and results it has generated, calculus can be rightly viewed as a fountainhead of ideas and disciplines in mathematics.
A Course in Calculus and Real Analysis – Sudhir R. Ghorpade and Balmohan V. Limaye
Find it at other libraries via WorldCat Limited preview. In part- ular, they showed that the geometric problems of? Nielsen Book Data Supplemental links Publisher description. Series Undergraduate texts in mathematics.
In the early seventeenth century, Fermat and Descartes studied the problem of? Real analysis, often called mathematical analysis or simply analysis, may be regarded as a formidable counterpart of calculus. Contents Numbers and Functions.