Quantum computing uses the phenomena of quantum mechanics to perform it’s calculations. The computational speed would be orders of magnitude greater than present day digital computers that we have become used to using whether it be a large scale mainframe or a desktop, laptop, tablet or phone. The digital computer uses bits which are a binary form of utilizing information in one of two states – either a 1 or a 0. The quantum computer uses quantum bits or qbits which can utilize data in a variety of states due to the quantum mechanical principles of superposition and entanglement. These principles allow multiple states to exist at the same time in the qbit which is what allows the qbit to operate at a drastically higher efficiency than the digital computer. Currently the field of quantum computing is in the beginning stages but proof of concept has already taken place using a very small number of qbits. Given that this field will be a revolution in computing, the technological implications are nothing short of phenomenal. This book discusses the fundamentals and applications of quantum computing and is designed to be a reference and provide an overview of the topic and give the reader a structured knowledge to familiarize yourself with the topic at the most affordable price possible. The accuracy and knowledge is of an international viewpoint as the edited articles represent the inputs of many knowledgeable individuals and some of the most current knowledge on the topic, based on the date of publication.

New Methods in Optimization and Their Industrial Uses: State of the Art, Recent Advances, Perspectives : Proceedings of the Symposia Held in Pau, ... Series of Numerical Mathematics, V. 86.)

PENOT, JEAN-PAUL

Birkhäuser Verlag

Calculus Without Derivatives expounds the foundations and recent advances in nonsmooth analysis, a powerful compound of mathematical tools that obviates the usual smoothness assumptions. This textbook also provides significant tools and methods towards applications, in particular optimization problems. Whereas most books on this subject focus on a particular theory, this text takes a general approach including all main theories. 
In order to be self-contained, the book includes three chapters of preliminary material, each of which can be used as an independent course if needed. The first chapter deals with metric properties, variational principles, decrease principles, methods of error bounds, calmness and metric regularity. The second one presents the classical tools of differential calculus and includes a section about the calculus of variations. The third contains a clear exposition of convex analysis.

Calculus Without Derivatives (Graduate Texts in Mathematics, 266)

Reference

Springer

Calculus Without Derivatives expounds the foundations and recent advances in nonsmooth analysis, a powerful compound of mathematical tools that obviates the usual smoothness assumptions. This textbook also provides significant tools and methods towards applications, in particular optimization problems.  Whereas most books on this subject focus on a particular theory, this text takes a general approach including all main theories.  In order to be self-contained, the book includes three chapters of preliminary material, each of which can be used as an independent course if needed.  The first chapter deals with metric properties, variational principles, decrease principles, methods of error bounds, calmness and metric regularity. The second one presents the classical tools of differential calculus and includes a section about the calculus of variations. The third contains a clear exposition of convex analysis.

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.

Analysis: From Concepts to Applications (Universitext)

Science & Math

Evolution

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Books by PENOT, JEAN-PAUL

See the best price to sell, buy, or rent books by PENOT, JEAN-PAUL. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

New Methods in Optimization and Their Industrial Uses: State of the Art, Recent Advances, Perspectives : Proceedings of the Symposia Held in Pau, ... Series of Numerical Mathematics, V. 86.)

Calculus Without Derivatives (Graduate Texts in Mathematics, 266)

Calculus Without Derivatives (Graduate Texts in Mathematics, 266)

Analysis: From Concepts to Applications (Universitext)