Analysis

From Concepts to Applications

Nonfiction, Science & Nature, Mathematics, Functional Analysis, Mathematical Analysis
Cover of the book Analysis by Jean-Paul Penot, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Jean-Paul Penot ISBN: 9783319324111
Publisher: Springer International Publishing Publication: December 18, 2016
Imprint: Springer Language: English
Author: Jean-Paul Penot
ISBN: 9783319324111
Publisher: Springer International Publishing
Publication: December 18, 2016
Imprint: Springer
Language: English

This textbook covers the main results and methods of real analysis in a single volume. Taking a progressive approach to equations and transformations, this book starts with the very foundations of real analysis (set theory, order, convergence, and measure theory) before presenting powerful results that can be applied to concrete problems.

In addition to classical results of functional analysis, differential calculus and integration, Analysis discusses topics such as convex analysis, dissipative operators and semigroups which are often absent from classical treatises. Acknowledging that analysis has significantly contributed to the understanding and development of the present world, the book further elaborates on techniques which pervade modern civilization, including wavelets in information theory, the Radon transform in medical imaging and partial differential equations in various mechanical and physical phenomena.

Advanced undergraduate and graduate students, engineers as well as practitioners wishing to familiarise themselves with concepts and applications of analysis will find this book useful. With its content split into several topics of interest, the book’s style and layout make it suitable for use in several courses, while its self-contained character makes it appropriate for self-study.

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

This textbook covers the main results and methods of real analysis in a single volume. Taking a progressive approach to equations and transformations, this book starts with the very foundations of real analysis (set theory, order, convergence, and measure theory) before presenting powerful results that can be applied to concrete problems.

In addition to classical results of functional analysis, differential calculus and integration, Analysis discusses topics such as convex analysis, dissipative operators and semigroups which are often absent from classical treatises. Acknowledging that analysis has significantly contributed to the understanding and development of the present world, the book further elaborates on techniques which pervade modern civilization, including wavelets in information theory, the Radon transform in medical imaging and partial differential equations in various mechanical and physical phenomena.

Advanced undergraduate and graduate students, engineers as well as practitioners wishing to familiarise themselves with concepts and applications of analysis will find this book useful. With its content split into several topics of interest, the book’s style and layout make it suitable for use in several courses, while its self-contained character makes it appropriate for self-study.

More books from Springer International Publishing

Cover of the book Capturing Connectivity and Causality in Complex Industrial Processes by Jean-Paul Penot
Cover of the book Adaptive Governance of Disaster by Jean-Paul Penot
Cover of the book The Myth of Mao Zedong and Modern Insurgency by Jean-Paul Penot
Cover of the book Emergency Approaches to Neurosurgical Conditions by Jean-Paul Penot
Cover of the book Entrepreneurship in Finance by Jean-Paul Penot
Cover of the book Photovoltaics for Rural Electrification in Developing Countries by Jean-Paul Penot
Cover of the book Teaching about Technology by Jean-Paul Penot
Cover of the book Balancing of Linkages and Robot Manipulators by Jean-Paul Penot
Cover of the book Critical Writing for Embodied Approaches by Jean-Paul Penot
Cover of the book State-Formation and Democratization by Jean-Paul Penot
Cover of the book Introduction to Logic Circuits & Logic Design with VHDL by Jean-Paul Penot
Cover of the book Philosophy and Breaking Bad by Jean-Paul Penot
Cover of the book A Sustainable Livelihood Approach to Poverty Reduction by Jean-Paul Penot
Cover of the book Wood Polymer Nanocomposites by Jean-Paul Penot
Cover of the book Information-Theoretic Evaluation for Computational Biomedical Ontologies by Jean-Paul Penot
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