Variational Analysis

Variational Analysis
Author: R. Tyrrell Rockafellar
Publisher: Springer Science & Business Media
Total Pages: 747
Release: 2009-06-26
Genre: Mathematics
ISBN: 3642024319

From its origins in the minimization of integral functionals, the notion of variations has evolved greatly in connection with applications in optimization, equilibrium, and control. This book develops a unified framework and provides a detailed exposition of variational geometry and subdifferential calculus in their current forms beyond classical and convex analysis. Also covered are set-convergence, set-valued mappings, epi-convergence, duality, and normal integrands.

What Are Tensors Exactly?

What Are Tensors Exactly?
Author: Hongyu Guo
Publisher: World Scientific
Total Pages: 246
Release: 2021-06-16
Genre: Mathematics
ISBN: 9811241031

Tensors have numerous applications in physics and engineering. There is often a fuzzy haze surrounding the concept of tensor that puzzles many students. The old-fashioned definition is difficult to understand because it is not rigorous; the modern definitions are difficult to understand because they are rigorous but at a cost of being more abstract and less intuitive.The goal of this book is to elucidate the concepts in an intuitive way but without loss of rigor, to help students gain deeper understanding. As a result, they will not need to recite those definitions in a parrot-like manner any more. This volume answers common questions and corrects many misconceptions about tensors. A large number of illuminating illustrations helps the reader to understand the concepts more easily.This unique reference text will benefit researchers, professionals, academics, graduate students and undergraduate students.

High-Dimensional Probability

High-Dimensional Probability
Author: Roman Vershynin
Publisher: Cambridge University Press
Total Pages: 299
Release: 2018-09-27
Genre: Business & Economics
ISBN: 1108415199

An integrated package of powerful probabilistic tools and key applications in modern mathematical data science.

A History of Vector Analysis

A History of Vector Analysis
Author: Michael J. Crowe
Publisher: Courier Corporation
Total Pages: 306
Release: 1994-01-01
Genre: Mathematics
ISBN: 0486679101

Prize-winning study traces the rise of the vector concept from the discovery of complex numbers through the systems of hypercomplex numbers to the final acceptance around 1910 of the modern system of vector analysis.

Electromagnetic Theory

Electromagnetic Theory
Author: James Clerk Maxwell
Publisher: Blurb
Total Pages: 128
Release: 2021-07-19
Genre:
ISBN: 9781006738821

In 1865 James Clerk Maxwell (1831 - 1879) published this work, "A Dynamical Theory of the Electromagnetic Field" demonstrating that electric and magnetic fields travel through space as waves moving at the speed of light. He proposed that light is an undulation in the same medium that is the cause of electric and magnetic phenomena. The unification of light and electrical phenomena led him to predict the existence of radio waves. Maxwell is also regarded as the founding scientist of the modern field of electrical engineering. His discoveries helped usher in the era of modern physics, laying the foundation for such fields as special relativity and quantum mechanics. Many physicists regard Maxwell as the 19th-century scientist having the greatest influence on 20th-century physics. His contributions to physics are considered by many to be of the same magnitude as the ones of Isaac Newton and Albert Einstein. In this original treatise Maxwell introduces the best of his mind in seven parts, to include: Part i. introductory. Part ii. on electromagnetic induction. Part iii. general equations of the electromagnetic field. Part iv. mechanical actions in the field. Part v. theory of condensers. Part vi. electromagnetic theory of light. Part vii. calculation of the coefficients of electromagnetic induction

A Brief on Tensor Analysis

A Brief on Tensor Analysis
Author: James G. Simmonds
Publisher: Springer Science & Business Media
Total Pages: 124
Release: 2012-10-31
Genre: Mathematics
ISBN: 1441985220

In this text which gradually develops the tools for formulating and manipulating the field equations of Continuum Mechanics, the mathematics of tensor analysis is introduced in four, well-separated stages, and the physical interpretation and application of vectors and tensors are stressed throughout. This new edition contains more exercises. In addition, the author has appended a section on Differential Geometry.

Glamour in Glass

Glamour in Glass
Author: Mary Robinette Kowal
Publisher: Macmillan
Total Pages: 335
Release: 2012-04-10
Genre: Fiction
ISBN: 1429987286

Mary Robinette Kowal stunned readers with her charming first novel Shades of Milk and Honey, a loving tribute to the works of Jane Austen in a world where magic is an everyday occurrence. This magic comes in the form of glamour, which allows talented users to form practically any illusion they can imagine. Shades debuted to great acclaim and left readers eagerly awaiting its sequel. Glamour in Glass continues following the lives of beloved main characters Jane and Vincent, with a much deeper vein of drama and intrigue. In the tumultuous months after Napoleon abdicates his throne, Jane and Vincent go to Belgium for their honeymoon. While there, the deposed emperor escapes his exile in Elba, throwing the continent into turmoil. With no easy way back to England, Jane and Vincent's concerns turn from enjoying their honeymoon...to escaping it. Left with no outward salvation, Jane must persevere over her trying personal circumstances and use her glamour to rescue her husband from prison . . . and hopefully prevent her newly built marriage from getting stranded on the shoals of another country's war. At the Publisher's request, this title is being sold without Digital Rights Management Software (DRM) applied.