Nonlinear Physics With Mathematica For Scientists And Engineers

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Nonlinear Physics with Mathematica for Scientists and Engineers

Author : Richard H. Enns
Publisher : Springer Science & Business Media
ISBN 13 : 1461202116
Total Pages : 706 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Nonlinear Physics with Mathematica for Scientists and Engineers by : Richard H. Enns

Download or read book Nonlinear Physics with Mathematica for Scientists and Engineers written by Richard H. Enns and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear physics continues to be an area of dynamic modern research, with applications to physics, engineering, chemistry, mathematics, computer science, biology, medicine and economics. In this text extensive use is made of the Mathematica computer algebra system. No prior knowledge of Mathematica or programming is assumed. This book includes 33 experimental activities that are designed to deepen and broaden the reader's understanding of nonlinear physics. These activities are correlated with Part I, the theoretical framework of the text.

Nonlinear Physics with Mathematica for Scientists and Engineers

Author : Richard H. Enns
Publisher : Springer Science & Business Media
ISBN 13 : 9780817642235
Total Pages : 720 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Nonlinear Physics with Mathematica for Scientists and Engineers by : Richard H. Enns

Download or read book Nonlinear Physics with Mathematica for Scientists and Engineers written by Richard H. Enns and published by Springer Science & Business Media. This book was released on 2001-06-26 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear physics continues to be an area of dynamic modern research, with applications to physics, engineering, chemistry, mathematics, computer science, biology, medicine and economics. In this text extensive use is made of the Mathematica computer algebra system. No prior knowledge of Mathematica or programming is assumed. This book includes 33 experimental activities that are designed to deepen and broaden the reader's understanding of nonlinear physics. These activities are correlated with Part I, the theoretical framework of the text.

Nonlinear Physics with Mathematica for Scientists and Engineers

Author : Richard H. Enns
Publisher : Birkhauser
ISBN 13 : 9783764342234
Total Pages : 691 pages
Book Rating : 4.3/5 (422 download)

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Book Synopsis Nonlinear Physics with Mathematica for Scientists and Engineers by : Richard H. Enns

Download or read book Nonlinear Physics with Mathematica for Scientists and Engineers written by Richard H. Enns and published by Birkhauser. This book was released on 2001-01-01 with total page 691 pages. Available in PDF, EPUB and Kindle. Book excerpt: CD-ROM contains: Illustrative nonlinear examples solved with Mathematica.

Study Of Linear And Nonlinear Models With "Mathematica"

Download Study Of Linear And Nonlinear Models With

Author : Czeslaw Maczka
Publisher : World Scientific
ISBN 13 : 9811266247
Total Pages : 336 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Study Of Linear And Nonlinear Models With "Mathematica" by : Czeslaw Maczka

Download or read book Study Of Linear And Nonlinear Models With "Mathematica" written by Czeslaw Maczka and published by World Scientific. This book was released on 2022-12-28 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is devoted to the problems of modeling physical systems and fields using the tools and capabilities of the 'Mathematica' software package. In the process of teaching classical courses in mechanics and mathematical physics, one often has to overcome significant difficulties associated with the cumbersomeness of the mathematical apparatus, which more than once distracts from the essence of the problems under consideration. The use of the 'Mathematica' package, which has a rich set of analytical and graphic tools, makes the presentation of classic issues related to modeling and interpretation of physical processes much more transparent. This package enables the visualization of both analytical solutions of nonlinear differential equations and solutions obtained in the form of infinite series or special functions.The textbook consists of two parts that can be studied independently of each other. The first part deals with the issues of nonlinear mechanics and the theory of oscillations. The second part covers linear problems of classical mathematical physics and nonlinear evolution models describing, inter alia, transport phenomena and propagation of waves. The book contains the codes of programs written in the 'Mathematica' package environment. Supplementary materials of programs illustrating and often complementing the presented material are available on the publisher's website.

It's a Nonlinear World

Author : Richard H. Enns
Publisher : Springer Science & Business Media
ISBN 13 : 0387753400
Total Pages : 387 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis It's a Nonlinear World by : Richard H. Enns

Download or read book It's a Nonlinear World written by Richard H. Enns and published by Springer Science & Business Media. This book was released on 2010-10-14 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drawing examples from mathematics, physics, chemistry, biology, engineering, economics, medicine, politics, and sports, this book illustrates how nonlinear dynamics plays a vital role in our world. Examples cover a wide range from the spread and possible control of communicable diseases, to the lack of predictability in long-range weather forecasting, to competition between political groups and nations. After an introductory chapter that explores what it means to be nonlinear, the book covers the mathematical concepts such as limit cycles, fractals, chaos, bifurcations, and solitons, that will be applied throughout the book. Numerous computer simulations and exercises allow students to explore topics in greater depth using the Maple computer algebra system. The mathematical level of the text assumes prior exposure to ordinary differential equations and familiarity with the wave and diffusion equations. No prior knowledge of Maple is assumed. The book may be used at the undergraduate or graduate level to prepare science and engineering students for problems in the "real world", or for self-study by practicing scientists and engineers.

Solving Nonlinear Partial Differential Equations with Maple and Mathematica

Author : Inna Shingareva
Publisher : Springer Science & Business Media
ISBN 13 : 370910517X
Total Pages : 372 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Solving Nonlinear Partial Differential Equations with Maple and Mathematica by : Inna Shingareva

Download or read book Solving Nonlinear Partial Differential Equations with Maple and Mathematica written by Inna Shingareva and published by Springer Science & Business Media. This book was released on 2011-07-24 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: The emphasis of the book is given in how to construct different types of solutions (exact, approximate analytical, numerical, graphical) of numerous nonlinear PDEs correctly, easily, and quickly. The reader can learn a wide variety of techniques and solve numerous nonlinear PDEs included and many other differential equations, simplifying and transforming the equations and solutions, arbitrary functions and parameters, presented in the book). Numerous comparisons and relationships between various types of solutions, different methods and approaches are provided, the results obtained in Maple and Mathematica, facilitates a deeper understanding of the subject. Among a big number of CAS, we choose the two systems, Maple and Mathematica, that are used worldwide by students, research mathematicians, scientists, and engineers. As in the our previous books, we propose the idea to use in parallel both systems, Maple and Mathematica, since in many research problems frequently it is required to compare independent results obtained by using different computer algebra systems, Maple and/or Mathematica, at all stages of the solution process. One of the main points (related to CAS) is based on the implementation of a whole solution method (e.g. starting from an analytical derivation of exact governing equations, constructing discretizations and analytical formulas of a numerical method, performing numerical procedure, obtaining various visualizations, and comparing the numerical solution obtained with other types of solutions considered in the book, e.g. with asymptotic solution).

Numerical and Analytical Methods for Scientists and Engineers Using Mathematica

Author : Daniel Dubin
Publisher : Wiley-Interscience
ISBN 13 :
Total Pages : 664 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Numerical and Analytical Methods for Scientists and Engineers Using Mathematica by : Daniel Dubin

Download or read book Numerical and Analytical Methods for Scientists and Engineers Using Mathematica written by Daniel Dubin and published by Wiley-Interscience. This book was released on 2003-05-05 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written from the perspective of a physicist rather than a mathematician, the text focuses on modern practical applications in the physical 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.

Nonlinear Dynamics of Nanobiophysics

Author : Slobodan Zdravković
Publisher : Springer Nature
ISBN 13 : 9811953236
Total Pages : 369 pages
Book Rating : 4.8/5 (119 download)

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Book Synopsis Nonlinear Dynamics of Nanobiophysics by : Slobodan Zdravković

Download or read book Nonlinear Dynamics of Nanobiophysics written by Slobodan Zdravković and published by Springer Nature. This book was released on 2022-12-07 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights important aspects of nonlinear dynamics of biophysical nanosystems, such as DNA, alpha helix, and microtubules. It presents the differences between the linear and nonlinear models in these molecules and includes interesting chapters on Soliton dynamics of the DNA molecule. This book is meant not only for researchers but also for both graduate and undergraduate students. Chapters include derivations, detailed explanations, and exercises for students. Therefore, the book is convenient to be used as a textbook in suitable courses.

Introduction to Mathematical Physics

Author : Chun Wa Wong
Publisher : Oxford University Press, USA
ISBN 13 : 0199641390
Total Pages : 731 pages
Book Rating : 4.1/5 (996 download)

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Book Synopsis Introduction to Mathematical Physics by : Chun Wa Wong

Download or read book Introduction to Mathematical Physics written by Chun Wa Wong and published by Oxford University Press, USA. This book was released on 2013-01-24 with total page 731 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Mathematical Physics explains why and how mathematics is needed in describing physical events in space. It helps physics undergraduates master the mathematical tools needed in physics core courses. It contains advanced topics for graduate students, short tutorials on basic mathematics, and an appendix on Mathematica.

Mathematical Models in Economics - Volume I

Author : Wei-Bin Zhang
Publisher : EOLSS Publications
ISBN 13 : 1848262280
Total Pages : 542 pages
Book Rating : 4.8/5 (482 download)

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Book Synopsis Mathematical Models in Economics - Volume I by : Wei-Bin Zhang

Download or read book Mathematical Models in Economics - Volume I written by Wei-Bin Zhang and published by EOLSS Publications. This book was released on 2009-06-10 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Models in Economics is a component of Encyclopedia of Mathematical Sciences in which is part of the global Encyclopedia of Life Support Systems (EOLSS), an integrated compendium of twenty one Encyclopedias. This theme is organized into several different topics and introduces the applications of mathematics to economics. Mathematical economics has experienced rapid growth, generating many new academic fields associated with the development of mathematical theory and computer. Mathematics is the backbone of modern economics. It plays a basic role in creating ideas, constructing new theories, and empirically testing ideas and theories. Mathematics is now an integral part of economics. The main advances in modern economics are characterized by applying mathematics to various economic problems. Many of today's profound insights into economic problems could hardly be obtained without the help of mathematics. The concepts of equilibrium versus non-equilibrium, stability versus instability, and steady states versus chaos in the contemporary literature are difficult to explain without mathematics. The theme discusses on modern versions of some classical economic theories, taking account of balancing between significance of economic issues and mathematical techniques. These two volumes are aimed at the following five major target audiences: University and College students Educators, Professional practitioners, Research personnel and Policy analysts, managers, and decision makers and NGOs.

Computational Problems for Physics

Author : Rubin H. Landau
Publisher : CRC Press
ISBN 13 : 1351784021
Total Pages : 435 pages
Book Rating : 4.3/5 (517 download)

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Book Synopsis Computational Problems for Physics by : Rubin H. Landau

Download or read book Computational Problems for Physics written by Rubin H. Landau and published by CRC Press. This book was released on 2018-05-30 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our future scientists and professionals must be conversant in computational techniques. In order to facilitate integration of computer methods into existing physics courses, this textbook offers a large number of worked examples and problems with fully guided solutions in Python as well as other languages (Mathematica, Java, C, Fortran, and Maple). It’s also intended as a self-study guide for learning how to use computer methods in physics. The authors include an introductory chapter on numerical tools and indication of computational and physics difficulty level for each problem. Readers also benefit from the following features: • Detailed explanations and solutions in various coding languages. • Problems are ranked based on computational and physics difficulty. • Basics of numerical methods covered in an introductory chapter. • Programming guidance via flowcharts and pseudocode. Rubin Landau is a Distinguished Professor Emeritus in the Department of Physics at Oregon State University in Corvallis and a Fellow of the American Physical Society (Division of Computational Physics). Manuel Jose Paez-Mejia is a Professor of Physics at Universidad de Antioquia in Medellín, Colombia.

Nonlinear Physics with Maple for Scientists and Engineers

Author : Richard Enns
Publisher : Springer Science & Business Media
ISBN 13 : 1468400320
Total Pages : 400 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Nonlinear Physics with Maple for Scientists and Engineers by : Richard Enns

Download or read book Nonlinear Physics with Maple for Scientists and Engineers written by Richard Enns and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Philosophy of the Text This text has been designed to be an introductory survey of the basic concepts and applied mathematical methods of nonlinear science. Students in engineer ing, physics, chemistry, mathematics, computing science, and biology should be able to successfully use this text. In an effort to provide the students with a cutting edge approach to one of the most dynamic, often subtle, complex, and still rapidly evolving, areas of modern research-nonlinear physics-we have made extensive use of the symbolic, numeric, and plotting capabilities of Maple V Release 4 applied to examples from these disciplines. No prior knowledge of Maple or computer programming is assumed, the reader being gently introduced to Maple as an auxiliary tool as the concepts of nonlinear science are developed. The diskette which accompanies the text gives a wide variety of illustrative nonlinear examples solved with Maple. An accompanying laboratory manual of experimental activities keyed to the text allows the student the option of "hands on" experience in exploring nonlinear phenomena in the REAL world. Although the experiments are easy to perform, they give rise to experimental and theoretical complexities which are not to be underestimated. The Level of the Text The essential prerequisites for the first eight chapters of this text would nor mally be one semester of ordinary differential equations and an intermediate course in classical mechanics.

Lost and Found in Mathematics. Dissident cosmologists’s guide to the Universe

Author : Victor Christianto
Publisher : Infinite Study
ISBN 13 :
Total Pages : 191 pages
Book Rating : 4./5 ( download)

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Book Synopsis Lost and Found in Mathematics. Dissident cosmologists’s guide to the Universe by : Victor Christianto

Download or read book Lost and Found in Mathematics. Dissident cosmologists’s guide to the Universe written by Victor Christianto and published by Infinite Study. This book was released on 2022-09-01 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is inspired by a German theoretical physicist, Sabine Hossenfelder’s publication: “Lost in Mathematics”. Her book seems to question highly mathematical and a lot of abstraction in the development of physics and cosmology studies nowadays. There is clear tendency that in recent decades, the physics science has been predominated by such an advanced mathematics, which at times sounding more like acrobatics approach to a reality. Through books by senior mathematical-physicists like Unzicker and Peter Woit, we know that the answer of TOE is not in superstring theories or other variations of such 26 dimensional bosonic string theory, of which none of those theories survived experimental test, but perhaps in low dimensional physics. As Alexander Unzicker suggests, perhaps it is more advisable to consider rotation in 3D space (known as SO3), or a kind of superfluid vortices version of gravitation theory. We can also reconsider proposition by the late Prof F. Winterberg (formerly professor at Univ. Nevada, Reno), that it is most likely that superfluid phonon roton theory in 3D can replace the entire superstring theories. While we don’t explore yet implications of his model to particle physics, we discuss here some published papers at several journals in the past few years.

Mathematical Methods in Physics and Engineering with Mathematica

Author : Ferdinand F. Cap
Publisher : CRC Press
ISBN 13 : 0203502604
Total Pages : 349 pages
Book Rating : 4.2/5 (35 download)

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Book Synopsis Mathematical Methods in Physics and Engineering with Mathematica by : Ferdinand F. Cap

Download or read book Mathematical Methods in Physics and Engineering with Mathematica written by Ferdinand F. Cap and published by CRC Press. This book was released on 2003-05-28 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: More than ever before, complicated mathematical procedures are integral to the success and advancement of technology, engineering, and even industrial production. Knowledge of and experience with these procedures is therefore vital to present and future scientists, engineers and technologists. Mathematical Methods in Physics and Engineering

Nonlinear Dynamics and Chaos

Author : Steven H. Strogatz
Publisher : CRC Press
ISBN 13 : 0429961111
Total Pages : 532 pages
Book Rating : 4.4/5 (299 download)

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Book Synopsis Nonlinear Dynamics and Chaos by : Steven H. Strogatz

Download or read book Nonlinear Dynamics and Chaos written by Steven H. Strogatz and published by CRC Press. This book was released on 2018-05-04 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.

History of Nonlinear Oscillations Theory in France (1880-1940)

Author : Jean-Marc Ginoux
Publisher : Springer
ISBN 13 : 3319552392
Total Pages : 402 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis History of Nonlinear Oscillations Theory in France (1880-1940) by : Jean-Marc Ginoux

Download or read book History of Nonlinear Oscillations Theory in France (1880-1940) written by Jean-Marc Ginoux and published by Springer. This book was released on 2017-04-18 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reveals the French scientific contribution to the mathematical theory of nonlinear oscillations and its development. The work offers a critical examination of sources with a focus on the twentieth century, especially the period between the wars. Readers will see that, contrary to what is often written, France's role has been significant. Important contributions were made through both the work of French scholars from within diverse disciplines (mathematicians, physicists, engineers), and through the geographical crossroads that France provided to scientific communication at the time. This study includes an examination of the period before the First World War which is vital to understanding the work of the later period. By examining literature sources such as periodicals on the topic of electricity from that era, the author has unearthed a very important text by Henri Poincaré, dating from 1908. In this work Poincaré applied the concept of limit cycle (which he had introduced in 1882 through his own works) to study the stability of the oscillations of a device for radio engineering. The “discovery” of this text means that the classical perspective of the historiography of this mathematical theory must be modified. Credit was hitherto attributed to the Russian mathematician Andronov, from correspondence dating to 1929. In the newly discovered Poincaré text there appears to be a strong interaction between science and technology or, more precisely, between mathematical analysis and radio engineering. This feature is one of the main components of the process of developing the theory of nonlinear oscillations. Indeed it is a feature of many of the texts referred to in these chapters, as they trace the significant developments to which France contributed. Scholars in the fields of the history of mathematics and the history of science, and anyone with an interest in the philosophical underpinnings of science will find this a particularly engaging account of scientific discovery and scholarly communication from an era full of exciting developments.

Response to Pitkanen’s Solar System Model: Towards Gross-Pitaevskiian description of Solar System and Galaxies and more evidence of chiral superfluid vortices

Download Response to Pitkanen’s Solar System Model: Towards Gross-Pitaevskiian description of Solar System and Galaxies and more evidence of chiral superfluid vortices PDF Online Free

Author : Victor Christianto
Publisher : Infinite Study
ISBN 13 :
Total Pages : 20 pages
Book Rating : 4./5 ( download)

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Book Synopsis Response to Pitkanen’s Solar System Model: Towards Gross-Pitaevskiian description of Solar System and Galaxies and more evidence of chiral superfluid vortices by : Victor Christianto

Download or read book Response to Pitkanen’s Solar System Model: Towards Gross-Pitaevskiian description of Solar System and Galaxies and more evidence of chiral superfluid vortices written by Victor Christianto and published by Infinite Study. This book was released on with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a new paper in recent issue of this journal (PSTJ), Prof. M. Pitkanen describes a solar system model inspired by spiral galaxies. While we appreciate his new approach, we find it lacks substantial discussion on the nature of vortices and chirality in galaxy. Therefore we submit a viewpoint that Gross-Pitaevskii model can be a more complete description of both solar system and also spiral galaxies, especially taking into account the nature of chirality and vortices in galaxies. In this article, we also hope to bring out some correspondence among existing models, so we discuss shortly: the topological vortice approach, Burgers equation in the light of KAM theory, and the Cantorian Navier-Stokes approach. Of course, this short article is far from being complete. We hope further investigation can be done around this line of approach. Aim of this paper: With this article, we hope to begin a healthy dialogue with Prof. M. Pitkanen, especially on his solar system model, since we also believe that he also support “evidence-based physics.” Limitation: In this paper we only discuss Pitkanen’s solar system model, we don’t discuss his other papers in a recent issue of PSTJ.