Antonio A. Romano's Books

The Physical and Mathematical Foundations of the Theory of Relativity

A Critical Analysis

By: Antonio Romano,Mario Mango Furnari

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The Physical and Mathematical Foundations of the Theory of Relativity

A Critical Analysis

By: Antonio Romano,Mario Mango Furnari

This unique textbook offers a mathematically rigorous presentation of the theory of relativity, emphasizing the need for a critical analysis of the foundations of general relativity in order to best study the theory and its implications. The transitions from classical mechanics to special relativity and then to general relativity are explored in detail as well, helping readers to gain a more profound and nuanced understanding of the theory as a whole. After reviewing the fundamentals of differential geometry and classical mechanics, the text introduces special relativity, first using the physical approach proposed by Einstein and then via Minkowski’s mathematical model. The authors then address the relativistic thermodynamics of continua and electromagnetic fields in matter – topics which are normally covered only very briefly in other treatments – in the next two chapters. The text then turns to a discussion of general relativity by means of the authors’ unique critical approach, underlining the difficulty of recognizing the physical meaning of some statements, such as the physical meaning of coordinates and the derivation of physical quantities from those of space-time. Chapters in this section cover the model of space-time proposed by Schwarzschild; black holes; the Friedman equations and the different cosmological models they describe; and the Fermi-Walker derivative. Well-suited for graduate students in physics and mathematics who have a strong foundation in real analysis, classical mechanics, and general physics, this textbook is appropriate for a variety of graduate-level courses that cover topics in relativity. Additionally, it will interest physicists and other researchers who wish to further study the subtleties of these theories and understand the contemporary scholarly discussions surrounding them.

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Page Count

499

Publisher

Springer Nature

Published Date

ISBN 10

3030272370

ISBN 13

9783030272371

Classical Mechanics with Mathematica®

By: Antonio Romano,Addolorata Marasco

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Classical Mechanics with Mathematica®

By: Antonio Romano,Addolorata Marasco

This textbook takes a broad yet thorough approach to mechanics, aimed at bridging the gap between classical analytic and modern differential geometric approaches to the subject. Developed by the authors from over 30 years of teaching experience, the presentation is designed to give students an overview of the many different models used through the history of the field—from Newton to Hamilton—while also painting a clear picture of the most modern developments. The text is organized into two parts. The first focuses on developing the mathematical framework of linear algebra and differential geometry necessary for the remainder of the book. Topics covered include tensor algebra, Euclidean and symplectic vector spaces, differential manifolds, and absolute differential calculus. The second part of the book applies these topics to kinematics, rigid body dynamics, Lagrangian and Hamiltonian dynamics, Hamilton–Jacobi theory, completely integrable systems, statistical mechanics of equilibrium, and impulsive dynamics, among others. This new edition has been completely revised and updated and now includes almost 200 exercises, as well as new chapters on celestial mechanics, one-dimensional continuous systems, and variational calculus with applications. Several Mathematica® notebooks are available to download that will further aid students in their understanding of some of the more difficult material. Unique in its scope of coverage and method of approach, Classical Mechanics with Mathematica® will be useful resource for graduate students and advanced undergraduates in applied mathematics and physics who hope to gain a deeper understanding of mechanics.

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Page Count

644

Publisher

Springer

Published Date

ISBN 10

3319775952

ISBN 13

9783319775951

Continuum Mechanics using Mathematica®

Fundamentals, Methods, and Applications

By: Antonio Romano,Addolorata Marasco

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Continuum Mechanics using Mathematica®

Fundamentals, Methods, and Applications

By: Antonio Romano,Addolorata Marasco

This textbook's methodological approach familiarizes readers with the mathematical tools required to correctly define and solve problems in continuum mechanics. Covering essential principles and fundamental applications, this second edition of Continuum Mechanics using Mathematica® provides a solid basis for a deeper study of more challenging and specialized problems related to nonlinear elasticity, polar continua, mixtures, piezoelectricity, ferroelectricity, magneto-fluid mechanics and state changes (see A. Romano, A. Marasco, Continuum Mechanics: Advanced Topics and Research Trends, Springer (Birkhäuser), 2010, ISBN 978-0-8176-4869-5). Key topics and features: * Concise presentation strikes a balance between fundamentals and applications * Requisite mathematical background carefully collected in two introductory chapters and one appendix * Recent developments highlighted through coverage of more significant applications to areas such as wave propagation, fluid mechanics, porous media, linear elasticity. This second edition expands the key topics and features to include: * Two new applications of fluid dynamics: meteorology and navigation * New exercises at the end of the existing chapters * The packages are rewritten for Mathematica 9 Continuum Mechanics using Mathematica®: Fundamentals, Applications and Scientific Computing is aimed at advanced undergraduates, graduate students and researchers in applied mathematics, mathematical physics and engineering. It may serve as a course textbook or self-study reference for anyone seeking a solid foundation in continuum mechanics.

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Page Count

489

Publisher

Springer

Published Date

ISBN 10

1493916041

ISBN 13

9781493916047

Geometric Optics

Theory and Design of Astronomical Optical Systems Using Mathematica®

By: Antonio Romano,Roberto Cavaliere

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Geometric Optics

Theory and Design of Astronomical Optical Systems Using Mathematica®

By: Antonio Romano,Roberto Cavaliere

This book—unique in the literature—provides readers with the mathematical background needed to design many of the optical combinations that are used in astronomical telescopes and cameras. The results presented in the work were obtained by using a different approach to third-order aberration theory as well as the extensive use of the software package Mathematica®. Replete with workout examples and exercises, Geometric Optics is an excellent reference for advanced graduate students, researchers, and practitioners in applied mathematics, engineering, astronomy, and astronomical optics. The work may be used as a supplementary textbook for graduate-level courses in astronomical optics, optical design, optical engineering, programming with Mathematica, or geometric optics.

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Page Count

289

Publisher

Birkhäuser

Published Date

ISBN 10

3319437321

ISBN 13

9783319437323

Thermomechanics of Phase Transitions in Classical Field Theory

By: Antonio Romano

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Thermomechanics of Phase Transitions in Classical Field Theory

By: Antonio Romano

The complex processes of state changes can be interpreted by resorting to Statistical Quantum Mechanics. However, it is well known that a phenomenological description of state changes can be obtained by using the classical continuum theory. This book supplies a panoramic picture of known and new mathematical models which are suitable to describe phase changes from a macroscopic view point. All these models are derived from the theory of continuous systems with a nonmaterial interface and allow to describe processes of solidification, melting, and vaporization. The nonlocal continuum theory of systems with a non material interface provides a more complex mathematical model in dealing with crystal growth either in a pure melt or in a mixture. A chapter is devoted to the analysis of phase changes in ferroelectric and ferromagnetic crystals.

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Page Count

282

Publisher

World Scientific

Published Date

ISBN 10

9810213980

ISBN 13

9789810213985

Continuum Mechanics

Advanced Topics and Research Trends

By: Antonio Romano,Addolorata Marasco

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Continuum Mechanics

Advanced Topics and Research Trends

By: Antonio Romano,Addolorata Marasco

This book offers a broad overview of the potential of continuum mechanics to describe a wide range of macroscopic phenomena in real-world problems. Building on the fundamentals presented in the authors’ previous book, Continuum Mechanics using Mathematica®, this new work explores interesting models of continuum mechanics, with an emphasis on exploring the flexibility of their applications in a wide variety of fields.

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Page Count

353

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0817648704

ISBN 13

9780817648701

Climate Finance as an Instrument to Promote the Green Growth in Developing Countries

By: Antonio A. Romano,Giuseppe Scandurra,Alfonso Carfora,Monica Ronghi

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Climate Finance as an Instrument to Promote the Green Growth in Developing Countries

By: Antonio A. Romano,Giuseppe Scandurra,Alfonso Carfora,Monica Ronghi

This book analyses the effectiveness of climate finance as political instrument to reduce the effect of anthropogenic activities on climate change and promote the green growth in developing countries. The book highlights that close attention should also be paid to the analysis of political contexts in a broad sense. Particularly focusing on the international negotiations process that enables the direction of funds toward specific needs and priorities and the issue of access to electricity. For example, the difficulties that developing countries face when trying to improve their green economic development without access to carbon remains a matter of the utmost importance and urgency for many developing countries that lack significant aid from developed countries. This book will be of interest to a wide body of academics and practitioners in climate change and energy policies. Moreover, this project is a valid instrument for students in energy policies and climate programs.

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Page Count

135

Publisher

Springer

Published Date

ISBN 10

3319607111

ISBN 13

9783319607115

Schachner and Hansen's Textbook of Pediatric Dermatology

Two Volume Set

By: Antonio Torrelo

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Schachner and Hansen's Textbook of Pediatric Dermatology

Two Volume Set

By: Antonio Torrelo

This two volume set is a complete guide to the diagnosis and treatment of paediatric skin conditions. With its first edition having published more than 33 years ago, this reference is renowned amongst clinicians practising in the field of paediatric dermatology. The fifth edition has been thoroughly revised and updated to provide all the latest techniques and therapeutic advances for daily practice. More than 2000 clinical and histologic pictures, the majority new to this edition, illustrate all the skin conditions described in the comprehensive text covering 2500 pages, across the two volumes. Detailed references offer suggestions for further reading. Divided into 22 sections, the book begins with an introduction to basic science and discussion on diagnosis in paediatric dermatology. The following chapters cover a multitude of conditions, from genetic diseases, eczema, and pigmentary disorders, to vascular anomalies, tumours and cysts, skin infections, and many more. The book concludes with a section on the principles of treatment. A complete section is dedicated to neonatal disorders. The book is edited by Madrid-based Antonio Torrelo, with contributions from numerous other experts in the field. The previous edition (9780723435402) published in 2010.

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Page Count

2190

Publisher

Jaypee Brothers Medical Publishers

Published Date

ISBN 10

9352703006

ISBN 13

9789352703005

Scientific Computing with Mathematica®

Mathematical Problems for Ordinary Differential Equations

By: Addolorata Marasco,Antonio Romano

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Scientific Computing with Mathematica®

Mathematical Problems for Ordinary Differential Equations

By: Addolorata Marasco,Antonio Romano

Many interesting behaviors of real physical, biological, economical, and chemical systems can be described by ordinary differential equations (ODEs). Scientific Computing with Mathematica for Ordinary Differential Equations provides a general framework useful for the applications, on the conceptual aspects of the theory of ODEs, as well as a sophisticated use of Mathematica software for the solutions of problems related to ODEs. In particular, a chapter is devoted to the use ODEs and Mathematica in the Dynamics of rigid bodies. Mathematical methods and scientific computation are dealt with jointly to supply a unified presentation. The main problems of ordinary differential equations such as, phase portrait, approximate solutions, periodic orbits, stability, bifurcation, and boundary problems are covered in an integrated fashion with numerous worked examples and computer program demonstrations using Mathematica. Topics and Features:*Explains how to use the Mathematica package ODE.m to support qualitative and quantitative problem solving *End-of- chapter exercise sets incorporating the use of Mathematica programs *Detailed description and explanation of the mathematical procedures underlying the programs written in Mathematica *Appendix describing the use of ten notebooks to guide the reader through all the exercises. This book is an essential text/reference for students, graduates and practitioners in applied mathematics and engineering interested in ODE's problems in both the qualitative and quantitative description of solutions with the Mathematica program. It is also suitable as a self-

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Page Count

278

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461201519

ISBN 13

9781461201519

Book's by Antonio A. Romano

The Physical and Mathematical Foundations of the Theory of Relativity

The Physical and Mathematical Foundations of the Theory of Relativity

Classical Mechanics with Mathematica®

Classical Mechanics with Mathematica®

Continuum Mechanics using Mathematica®

Continuum Mechanics using Mathematica®

Geometric Optics

Geometric Optics

Thermomechanics of Phase Transitions in Classical Field Theory

Thermomechanics of Phase Transitions in Classical Field Theory

Continuum Mechanics

Continuum Mechanics

Climate Finance as an Instrument to Promote the Green Growth in Developing Countries

Climate Finance as an Instrument to Promote the Green Growth in Developing Countries

Schachner and Hansen's Textbook of Pediatric Dermatology

Schachner and Hansen's Textbook of Pediatric Dermatology

Scientific Computing with Mathematica®

Scientific Computing with Mathematica®

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