Books about Ovidius from Amazon.com

Differential geometry techniques have very useful and important applications in partial differential equations and quantum mechanics. This work presents a purely geometric treatment of problems in physics involving quantum harmonic oscillators, quartic oscillators, minimal surfaces, Schrödinger's, Einstein's and Newton's equations, and others. Historically, problems in these areas were approached using the Fourier transform or path integrals, although in some cases, e.g., the case of quartic oscillators, these methods do not work. New geometric methods, which have the advantage of providing quantitative or at least qualitative descriptions of operators, many of which cannot be treated by other methods, are introduced. And, conservation laws of the Euler--Lagrange equations are employed to solve the equations of motion qualitatively when quantitative analysis is not possible.

Main topics include: Lagrangian formalism on Riemannian manifolds; energy momentum tensor and conservation laws; Hamiltonian formalism; Hamilton--Jacobi theory; harmonic functions, maps, and geodesics; fundamental solutions for heat operators with potential; and variational approach to mechanical curves. The text is enriched with good examples and exercises at the end of every chapter.

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Incorporating substantial developments from the last thirty years into one resource, Asymptotics and Borel Summability provides a self-contained introduction to asymptotic analysis with special emphasis on topics not covered in traditional asymptotics books. The author explains basic ideas, concepts, and methods of generalized Borel summability, transseries, and exponential asymptotics. He provides complete mathematical rigor while supplementing it with heuristic material and examples, so that some proofs may be omitted by applications-oriented readers.

To give a sense of how new methods are used in a systematic way, the book analyzes in detail general nonlinear ordinary differential equations (ODEs) near a generic irregular singular point. It enables readers to master basic techniques, supplying a firm foundation for further study at more advanced levels. The book also examines difference equations, partial differential equations (PDEs), and other types of problems.

Chroniclingthe progress made in recent decades, this book shows how Borel summability can recover exact solutions from formal expansions, analyze singular behavior, and vastly improve accuracy in asymptotic approximations..
Price: $84.34 [Notify me when price goes down.]

This is an electronic edition of the complete poems complemented by Ovid biography This book features the table of contents linked to every chapter. The book was designed for optimal navigation on the Kindle, PDA, Smartphone, and other electronic readers. It is formatted to display on all electronic devices including the Kindle, Smartphones and other Mobile Devices with a small display.

Table of Contents

Amores ("The Loves"), five books, published 10 BC and revised into three books ca. 1 AD.
Metamorphoses ("Transformations"), 15 books. Published ca. AD 8.
Ars Amatoria ("The Art of Love"), three books. First two books published 2 BC, the third somewhat later.
Remedia Amoris ("Remedy of Love"), 1 book. Published 5 BC.
Medicamina Faciei Feminae ("Women's Facial Cosmetics"), also known as The Art of Beauty, 100 lines surviving. Published ca. 5 BC.
The Court of Love by Chaucer
The History of Love by Charles Hopkins

Appendix:
Ovid Biography
About and Navigation

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1930. Illustrated by Jean de Bosschere Ovid was a Roman writer of love elegies (Amores), then experimented with the imaginary letter, mock didactic verse (Ars Amatoria), and collective narrative relating disconnected stories inside a large historical or chronological frame. Little was heard of Ovid until the Renaissance where he was revered as the great preceptor of courtly love. Through the Renaissance up to modern times, his poetry has been respected as a treasury of mythic themes, the suggestiveness and psychological content of which have inspired the imagination of a legion of writers. See other titles by this author available from Kessinger Publishing..
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