Addolorata Marasco's Books

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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644

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Springer

Published Date

ISBN 10

3319775952

ISBN 13

9783319775951

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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278

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Springer Science & Business Media

Published Date

ISBN 10

1461201519

ISBN 13

9781461201519

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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353

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Springer Science & Business Media

Published Date

ISBN 10

0817648704

ISBN 13

9780817648701

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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489

Publisher

Springer

Published Date

ISBN 10

1493916041

ISBN 13

9781493916047

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

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Page Count

278

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Springer Science & Business Media

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ISBN 10

1461201519

ISBN 13

9781461201519

Classical Mechanics with Mathematica®

By: Antonio Romano,Addolorata Marasco

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Classical Mechanics with Mathematica®

By: Antonio Romano,Addolorata Marasco

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Page Count

644

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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

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489

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Springer

Published Date

ISBN 10

1493916041

ISBN 13

9781493916047

Continuum Mechanics using Mathematica®

Fundamentals, Applications and Scientific Computing

By: Antonio Romano,Renato Lancellotta,Addolorata Marasco

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Continuum Mechanics using Mathematica®

Fundamentals, Applications and Scientific Computing

By: Antonio Romano,Renato Lancellotta,Addolorata Marasco

This book examines mathematical tools, principles, and fundamental applications of continuum mechanics, providing a solid basis for a deeper study of more challenging problems in elasticity, fluid mechanics, plasticity, piezoelectricity, ferroelectricity, magneto-fluid mechanics, and state changes. The work is suitable for advanced undergraduates, graduate students, and researchers in applied mathematics, mathematical physics, and engineering.

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Page Count

388

Publisher

Birkhäuser

Published Date

ISBN 10

0817670394

ISBN 13

9780817670399

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

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Solve jigsaw puzzle

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Page Count

353

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0817648704

ISBN 13

9780817648701

Book's by Addolorata Marasco

Classical Mechanics with Mathematica®

Classical Mechanics with Mathematica®

Scientific Computing with Mathematica®

Scientific Computing with Mathematica®

Continuum Mechanics

Continuum Mechanics

Continuum Mechanics using Mathematica®

Continuum Mechanics using Mathematica®

Scientific Computing with Mathematica®

Scientific Computing with Mathematica®

Classical Mechanics with Mathematica®

Classical Mechanics with Mathematica®

Continuum Mechanics using Mathematica®

Continuum Mechanics using Mathematica®

Continuum Mechanics using Mathematica®

Continuum Mechanics using Mathematica®

Continuum Mechanics

Continuum Mechanics

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