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Daniel Dubin ... 633 pages - Publisher: Wiley-Interscience; (May, 2003) ... Language: English - ISBN-10: 0471266108 - ISBN-13: 978-0471266105.

Utilizing state-of-the-art software to facilitate solutions to real-world problems: Practitioners in the field of physical science are continually faced with a variety of complex, real-world problems, the solution of which requires a working knowledge of both analytical and numerical techniques. An Introduction to Mathematical and Computational Physics Using Mathematica® is designed to help prospective scientists develop a practical, working knowledge of these techniques using the latest, most efficient electronic methodologies. Written from the perspective of a physicist rather than a mathematician, the text focuses on modern practical applications in the physical and engineering sciences, attacking these problems with a range of numerical and analytical methods, both elementary and advanced. Incorporating the widely used and highly praised Mathematica® software package, the author offers solution techniques for the partial differential equations of mathematical physics such as Poisson’s equation, the wave equation, and Schrödinger’s equation, including Fourier series and transforms, Green’s functions, the method of characteristics, grids, Galerkin and simulation methods, elementary probability theory, and statistical methods. The incorporation of Mathematica® offers students a wealth of practical benefits in that it: Requires little or no previous computer experience + Offers maximum flexibility and sophistication + Delivers easy access to the important ideas behind the various numerical methods + Facilitates important but often tedious analytic calculations + Is easily adapted to the application of other related software packages. Designed for both advanced undergraduate and graduate students in the physical and engineering sciences, as well as professionals who want to learn these methods, An Introduction to Mathematical and Computational Physics Using Mathematica® is also provided electronically on an accompanying CD. The electronic version contains the full text of the book, along with animations, user-modifiable source code, and links to related Web material.

George A. Anastassiou, Iuliana F. Iatan ... 582 pages - Publisher: Springer; (July, 2012) ... Language: English - ISBN-10: 3642284744 - ISBN-13: 978-3642284748 ... 

Jiří Gregor, Jaroslav Tišer ... 247 pages - Publisher: Springer; (December, 2010) ... Language: English - ISBN-10: 0857290541 - ISBN-13: 978-0857290540 ...

The book contains chapters of structured approach to problem solving in mathematical analysis on an intermediate level. It follows the ideas of G.Polya and others, distinguishing between exercises and problem solving in mathematics. Interrelated concepts are connected by hyperlinks, pointing toward easier or more difficult problems so as to show paths of mathematical reasoning. Basic definitions and theorems can also be found by hyperlinks from relevant places. Problems are open to alternative formulations, generalizations, simplifications, and verification of hypotheses by the reader; this is shown to be helpful in solving problems. The book presents how advanced mathematical software can aid all stages of mathematical reasoning while the mathematical content remains in foreground. The authors show how software can contribute to deeper understanding and to enlarging the scope of teaching for students and teachers of mathematics. Discovering Mathematics: A Problem-Solving Approach to Analysis with Mathematica and Maple provides a constructive approach to mathematical discovery through innovative use of software technology. Interactive Mathematica and Maple notebooks are integral to this books’ utility as a practical tool for learning. Interrelated concepts, definitions and theorems are connected through hyperlinks, guiding the reader to a variety of structured problems and highlighting multiple avenues of mathematical reasoning. Interactivity is further enhanced through the delivery of online content (available at extras.springer.com), demonstrating the use of software and in turn increasing the scope of learning for both students and teachers and contributing to a deeper mathematical understanding. This book will appeal to both final year undergraduate and post-graduate students wishing to supplement a mathematics course or module in mathematical problem-solving and analysis. It will also be of use as complementary reading for students of engineering or science, and those in self-study.

Inna K. Shingareva, Carlos Lizárraga-Celaya ... 484 pages - Publisher: Springer; 2nd edition (August, 2009) ...  Language: English - ASIN: B00FBVFPTE by Amazon Digital Services ...

The first book to compare the main two computer algebra systems (CAS), Maple and Mathematica used by students, mathematicians, scientists, and engineers. Both systems are presented in parallel so that Mathematica users can learn Maple quickly by finding the Maple equivalent to Mathematica functions, and vice versa. This student reference handbook consists of core material for incorporating Maple and Mathematica as a working tool into different undergraduate mathematical courses (abstract and linear algebra, geometry, calculus and analysis, complex functions, special functions, integral and discrete transforms, algebraic and transcendental equations, ordinary and partial differential equations, integral equations, numerical analysis and scientific computing). The book also contains applications from various areas of mathematics, physics, and music theory and can be useful for graduate students, professors, and researchers in science and engineering. One of the goals of this book is to develop problem-solving skills (that are most useful for solving sophisticated research problems) finding solutions with Maple and Mathematica and not to depend on a specific version of both systems (Maple 12 and Mathematica 6 and 7 are considered). Part I, describes the foundations of Maple and Mathematica (with equivalent problems and solutions). Part II, describes Mathematics with Maple and Mathematica by using equivalent problems. Finally, this book is ideal for scientists who want to corroborate their Maple and Mathematica work with independent verification provided by another CAS.

C. Henry Edwards, David E. Penney, David T. Calvis ... 
792 pages - Publisher: Pearson; 5th edition (September, 2014) ... Language: English - ISBN-10: 0321796985 - ISBN-13: 978-0321796981 ...

 This best-selling text by these well-known authors blends the traditional algebra problem solving skills with the conceptual development and geometric visualization of a modern differential equations course that is essential to science and engineering students. It reflects the new qualitative approach that is altering the learning of elementary differential equations, including the wide availability of scientific computing environments like Maple, Mathematica, and MATLAB. Its focus balances the traditional manual methods with the new computer-based methods that illuminate qualitative phenomena and make accessible a wider range of more realistic applications. Seldom-used topics have been trimmed and new topics added: it starts and ends with discussions of mathematical modeling of real-world phenomena, evident in figures, examples, problems, and applications throughout the text.

M. Asghar Bhatti ... 715 pages - Publisher: Springer; (June, 2000) ... Language: English - ISBN-10: 0387986316 - ISBN-13: 978-0387986319 ...

This introductory textbook adopts a practical and intuitive approach, rather than emphasizing mathematical rigor. Computationally oriented books in this area generally present algorithms alone, and expect readers to perform computations by hand, and are often written in traditional computer languages, such as Basic, Fortran or Pascal. This book, on the other hand, is the first text to use Mathematica to develop a thorough understanding of optimization algorithms, fully exploiting Mathematica's symbolic, numerical and graphic capabilities.

Paul Wellin... 728 pages - Publisher: Cambridge University Press; 1st edition (February, 2013) ...
Language: English - ISBN-10: 1107009464 - ISBN-13: 978-1107009462 ...

Starting from first principles, this book covers all of the foundational material needed to develop a clear understanding of the Mathematica language, with a practical emphasis on solving problems. Concrete examples throughout the text demonstrate how Mathematica language, can be used to solve problems in science, engineering, economics/finance, computational linguistics, geoscience, bioinformatics, and a range of other fields. The book will appeal to students, researchers and programmers wishing to further their understanding of Mathematica language. Designed to suit users of any ability, it assumes no formal knowledge of programming so it is ideal for self-study. Over 290 exercises are provided to challenge the reader's understanding of the material covered and these provide ample opportunity to practice using the language. Mathematica language notebooks containing examples, programs and solutions to exercises are available from www.cambridge.org/wellin.

Cliff Hastings, Kelvin Mischo, Michael Morrison ... For more than 25 years, Mathematica has been the principal computation environment for millions of innovators, educators, students, and others around the world. This book is an introduction to Mathematica. The goal is to provide a hands-on experience introducing the breadth of Mathematica, with a focus on ease of use. Readers get detailed instruction with examples for interactive learning and end-of-chapter exercises. Each chapter also contains authors tips from their combined 50+ years of Mathematica use.

Info-Details: 469 pages - Publisher: Wolfram Media.; (September, 2015) ... Language: English - ISBN-10: 1579550770 - ISBN-13: 978-1579550776 ...

Stephen Wolfram ... As both a highly readable tutorial and a definitive reference for over a million Mathematica users worldwide, this book covers every aspect of Mathematica. It is an essential resource for all users of Mathematica from beginners to experts. This expanded fifth edition presents Mathematica Version 5 for the first time and is important for anyone interested in the progress of advanced computing. Included in this new edition are the following: Visual tour of key features + Practical tutorial introduction + Full descriptions of 1,200+ built-in functions + Thousands of illustrative examples + Easy-to-follow descriptive tables + Essays highlighting key concepts + Mathematica language tutorial + Guide to symbolic programming + Introduction to document-centered interfaces + Guide to the MathLink API + Notes on internal implementation + Index with 10,000+ entries.

Info-Details:  1488 pages - Publisher: Wolfram Media; 5th edition (August, 2003) ... Language: English - ISBN-10: 1579550223 - ISBN-13: 978-1579550226 ...

S. Rajasekaran ... 896 pages- Publisher: Woodhead Publishing; 1st edition (June 13, 2009)
Language: English - ISBN-10: 1845695186 - ISBN-13: 978-1845695187

Given the risk of earthquakes in many countries, knowing how structural dynamics can be applied to earthquake engineering of structures, both in theory and practice, is a vital aspect of improving the safety of buildings and structures. It can also reduce the number of deaths and injuries and the amount of property damage.

The book begins by discussing free vibration of single-degree-of-freedom (SDOF) systems, both damped and undamped, and forced vibration (harmonic force) of SDOF systems. Response to periodic dynamic loadings and impulse loads are also discussed, as are two degrees of freedom linear system response methods and free vibration of multiple degrees of freedom. Further chapters cover time history response by natural mode superposition, numerical solution methods for natural frequencies and mode shapes and differential quadrature, transformation and Finite Element methods for vibration problems. Other topics such as earthquake ground motion, response spectra and earthquake analysis of linear systems are discussed.

Structural dynamics of earthquake engineering: theory and application using Mathematica and Matlab provides civil and structural engineers and students with an understanding of the dynamic response of structures to earthquakes and the common analysis techniques employed to evaluate these responses. Worked examples in Mathematica and Matlab are given.

Explains the dynamic response of structures to earthquakes including periodic dynamic loadings and impulse loads + Examines common analysis techniques such as natural mode superposition, the finite element method and numerical solutions + Investigates this important topic in terms of both theory and practise with the inclusion of practical exercise and diagrams.

Sergey P. Kiselev, Evgenii Vorozhtsov, Vasily M. Fomin ... 575 pages - Publisher: Birkhäuser; (December, 1999) ... Language: English - ISBN-10: 0817639950 - ISBN-13: 978-0817639952 ...

Fluid mechanics (FM) is a branch of science dealing with the investi­ gation of flows of continua under the action of external forces. The fundamentals of FM were laid in the works of the famous scientists, such as L. Euler, M. V. Lomonosov, D. Bernoulli, J. L. Lagrange, A. Cauchy, L. Navier, S. D. Poisson, and other classics of science. Fluid mechanics underwent a rapid development during the past two centuries, and it now includes, along with the above branches, aerodynamics, hydrodynamics, rarefied gas dynamics, mechanics of multi phase and reactive media, etc. The FM application domains were expanded, and new investigation methods were developed. Certain concepts introduced by the classics of science, however, are still of primary importance and will apparently be of importance in the future. The Lagrangian and Eulerian descriptions of a continuum, tensors of strains and stresses, conservation laws for mass, momentum, moment of momentum, and energy are the examples of such concepts and results. This list should be augmented by the first and second laws of thermodynamics, which determine the character and direction of processes at a given point of a continuum. The availability of the conservation laws is conditioned by the homogeneity and isotrop­ icity properties of the Euclidean space, and the form of these laws is related to the Newton's laws. The laws of thermodynamics have their foundation in the statistical physics.

M. Asghar Bhatti ... 720 pages - Publisher: Wiley; 1st edition (February, 2005) ... Language: English - ISBN-10: 0471648086 - ISBN-13: 978-0471648086 ...

Fundamental Finite Element Analysis and Applications: with Mathematica^® and MATLAB^® Computations is an innovative, practical guide to discovering the Finite Element Method (FEM). Providing a helpful balance between theory and application, it presents the FEM as a tool to find approximate solutions of differential equations, making it a useful resource for students from a variety of disciplines. Using a unique combination of live Mathematica^® and MATLAB^® implementations, along with problems in both ANSYS^® and ABAQUS^® formats, this hands-on book reveals the logic behind the equations to facilitate a full understanding of methods and solutions. In nine convenient chapters, Fundamental Finite Element Analysis and Applications: with Mathematica^® and MATLAB^® .Computations covers: Finite Element Method: The Big Picture * Mathematical Foundation of the Finite Element Method * One-Dimensional Boundary Value Problems * Trusses, Beams, and Frames * Two-Dimensional Elements * Mapped Elements * Analysis of Elastic Solids * Transient Problems * p-Formulation. An associated Web site (wiley.com/go/bhatti) includes interactive application files and notebooks for Mathematica^®, MATLAB^®, ANSYS^®, and ABAQUS^®, with expanded exercises to use with the book. Fundamental Finite Element Analysis with Mathematica^® and MATLAB^® Computations is a clear and accessible learning tool for senior undergraduate and graduate-level students. *Finite Element Analysis with Mathematica and Matlab Computations and Practical Applications is an innovative, hands-on and practical introduction to the Finite Element Method that provides a powerful tool for learning this essential analytic method.