This book explores a number of important examples and constructions of pathological functions. After introducing the basic concepts, the author begins with Cantor and Peano-type functions, then moves to functions whose constructions require essentia...Daugiau...
The aim of this book is to lead the reader out from the ordinary routine of computing and calculating by engaging in a more dynamic process of learning. This Learning-by-Doing Approach can be traced back to Aristotle who wrote For the things we have...Daugiau...
This book provides a resolution to the bridging-the-gap problem. The book not only presents the fundamental theorems of real analysis, but also shows the reader how to compose and produce the proofs of these theorems....Daugiau...
Basic Analysis II: A Modern Calculus in Many Variables focuses on differentiation in Rn and important concepts about mappings from Rn to Rm, such as the inverse and implicit function theorem and change of variable formulae for multidimensional integ...Daugiau...
Basic Analysis I: Functions of a Real Variable is designed for students who have completed the usual calculus and ODE sequence and a basic course in linear algebra. This is a critical course in the use of abstraction....Daugiau...
The aim of Elements of Concave Analysis and Applications is to provide a basic and selfcontained introduction to concepts and detailed study of concave and convex functions. It is written in the style of a textbook, designed for courses in mathemati...Daugiau...
(Išleidimo metai: 08-Dec-2017, Leidėjas: Taylor & Francis Ltd, ISBN-13: 9781351076197)
Written by one of the best-known probabilists in the world this text offers a clear and modern presentation of modern probability theory and an exposition of the interplay between the properties of metric spaces and those of probability measures....Daugiau...
(Išleidimo metai: 30-Sep-2011, Leidėjas: John Wiley & Sons Inc, ISBN-13: 9781118096864)
Combining historical coverage with key introductory fundamentals, Real Analysis: A Historical Approach, Second Edition helps readers easily make the transition from concrete to abstract ideas when conducting analysis....Daugiau...
Serija: Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts
(Išleidimo metai: 29-Jan-2002, Leidėjas: John Wiley & Sons Inc, ISBN-13: 9780471249702)
This book presents the mathematics of finite dimensional constrained optimization problems. It offers a solid presentation of real analysis and provides a basis for the mathematical study of convexity, of more general optimization problems, and of n...Daugiau...
The classical Taylors formula of advanced calculus is generalized, extending the notion of the differentiability class Cm, with applications to maxima and minima and to sufficiency of jets...Daugiau...
