Essential Real Analysis

Nonfiction, Science & Nature, Mathematics, Topology, Mathematical Analysis
Cover of the book Essential Real Analysis by Michael Field, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Michael Field ISBN: 9783319675466
Publisher: Springer International Publishing Publication: November 6, 2017
Imprint: Springer Language: English
Author: Michael Field
ISBN: 9783319675466
Publisher: Springer International Publishing
Publication: November 6, 2017
Imprint: Springer
Language: English

This book provides a rigorous introduction to the techniques and results of real analysis, metric spaces and multivariate differentiation, suitable for undergraduate courses.

Starting from the very foundations of analysis, it offers a complete first course in real analysis, including topics rarely found in such detail in an undergraduate textbook such as the construction of non-analytic smooth functions, applications of the Euler-Maclaurin formula to estimates, and fractal geometry. Drawing on the author’s extensive teaching and research experience, the exposition is guided by carefully chosen examples and counter-examples, with the emphasis placed on the key ideas underlying the theory. Much of the content is informed by its applicability: Fourier analysis is developed to the point where it can be rigorously applied to partial differential equations or computation, and the theory of metric spaces includes applications to ordinary differential equations and fractals.

*Essential Real Analysis *will appeal to students in pure and applied mathematics, as well as scientists looking to acquire a firm footing in mathematical analysis. Numerous exercises of varying difficulty, including some suitable for group work or class discussion, make this book suitable for self-study as well as lecture courses.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This book provides a rigorous introduction to the techniques and results of real analysis, metric spaces and multivariate differentiation, suitable for undergraduate courses.

Starting from the very foundations of analysis, it offers a complete first course in real analysis, including topics rarely found in such detail in an undergraduate textbook such as the construction of non-analytic smooth functions, applications of the Euler-Maclaurin formula to estimates, and fractal geometry. Drawing on the author’s extensive teaching and research experience, the exposition is guided by carefully chosen examples and counter-examples, with the emphasis placed on the key ideas underlying the theory. Much of the content is informed by its applicability: Fourier analysis is developed to the point where it can be rigorously applied to partial differential equations or computation, and the theory of metric spaces includes applications to ordinary differential equations and fractals.

*Essential Real Analysis *will appeal to students in pure and applied mathematics, as well as scientists looking to acquire a firm footing in mathematical analysis. Numerous exercises of varying difficulty, including some suitable for group work or class discussion, make this book suitable for self-study as well as lecture courses.

More books from Springer International Publishing

Cover of the book Innovation Policies in the European News Media Industry by Michael Field
Cover of the book Smart Cities Performability, Cognition, & Security by Michael Field
Cover of the book Cancer Care in Countries and Societies in Transition by Michael Field
Cover of the book Climate Change Adaptation in Pacific Countries by Michael Field
Cover of the book Fractional Order Darwinian Particle Swarm Optimization by Michael Field
Cover of the book Non-Dissipative Effects in Nonequilibrium Systems by Michael Field
Cover of the book Was Communism Doomed? by Michael Field
Cover of the book Gendering Israel's Outsourcing by Michael Field
Cover of the book Combinatorial Algorithms by Michael Field
Cover of the book Craft Beverages and Tourism, Volume 1 by Michael Field
Cover of the book Pain, Emotion and Cognition by Michael Field
Cover of the book Reluctant Celebrity by Michael Field
Cover of the book Production, Handling and Characterization of Particulate Materials by Michael Field
Cover of the book From Stars to Brains: Milestones in the Planetary Evolution of Life and Intelligence by Michael Field
Cover of the book An Introduction to Place-Based Development Economics and Policy by Michael Field
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy