Lectures on the Theory of Maxima and Minima of Functions of Several Variables, Vol. 2: Weierstrass Theory (Classic Reprint) - Softcover

Harris Hancock

 
9781332150311: Lectures on the Theory of Maxima and Minima of Functions of Several Variables, Vol. 2: Weierstrass Theory (Classic Reprint)

Synopsis

This book establishes fundamental concepts in the Calculus, with a particular focus on refining and expanding the theories of Maxima and Minima for functions of several variables, both with and without constraints. The author, a notable mathematician, presents a rigorous investigation into analytic functions, defining them not through arithmetic operations, but as power series that converge uniformly within a given region. This perspective allows the author to generalize the ideas of Maxima and Minima, showing that they may be applied to functions of any number of variables, even when those functions are not continuous or have singularities. Prior to this work, many problems involving Maxima and Minima could only be solved through complex algebraic means. The methods developed by the author eliminate this difficulty by providing a general framework for solving such problems, applicable to a wide variety of functions. In doing so, this book also provides a deeper understanding of the nature of analytic functions and their behavior, offering valuable insights for mathematicians and physicists alike.

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Other Popular Editions of the Same Title

9780260673282: Lectures on the Theory of Maxima and Minima of Functions of Several Variables, Vol. 2: Weierstrass Theory (Classic Reprint)

Featured Edition

ISBN 10:  0260673285 ISBN 13:  9780260673282
Publisher: Forgotten Books, 2018
Hardcover