Richard H. Enns, George C. McGuire

Nonlinear Physics with Mathematica for Scientists and Engineers

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Verlag: Birkhäuser / Birkhäuser Boston / Springer, Basel
• Artikelnr. des Verlages: 978-1-4612-6664-8
• Softcover reprint of the original 1st ed. 2001
• Seitenzahl: 716
• Erscheinungstermin: 19. April 2013
• Englisch
• Abmessung: 254mm x 178mm x 39mm
• Gewicht: 1314g
• ISBN-13: 9781461266648
• ISBN-10: 1461266645
• Artikelnr.: 39562242

Autorenporträt

User-friendly, accessible, example-based presentation integrates theory, experiments, and the provided Mathematica notebooks, some of which make use of Mathematica's sound capability. No prior knowledge of Mathematica or programming is required. Part II contains 33 experimental "hands on" activities to deepen and broaden the understanding of material covered in the first part of the text. Accessible to students and researchers in physics, engineering, chemistry, mathematics, computer science, and biology.

Inhaltsangabe

I Theory.- 1 Introduction.- 2 Nonlinear Systems. Part I.- 3 Nonlinear Systems. Part II.- 4 Topological Analysis.- 5 Analytic Methods.- 6 The Numerical Approach.- 7 Limit Cycles.- 8 Forced Oscillators.- 9 Nonlinear Maps.- 10 Nonlinear PDE Phenomena.- 11 Numerical Simulation.- 12 Inverse Scattering Method.- II Experimental Activities.- to Nonlinear Experiments.- 1 Magnetic Force.- 2 Magnetic Tower.- 3 Spin Toy Pendulum.- 4 Driven Eardrum.- 5 Nonlinear Damping.- 6 Anharmonic Potential.- 7 Iron Core Inductor.- 8 Nonlinear LRC Circuit.- 9 Tunnel Diode Negative Resistance Curve.- 10 Tunnel Diode Self-Excited Oscillator.- 11 Forced Duffing Equation.- 12 Focal Point Instability.- 13 Compound Pendulum.- 14 Damped Simple Pendulum.- 15 Stable Limit Cycle.- 16 Van der Pol Limit Cycle.- 17 Relaxation Oscillations: Neon Bulb.- 18 Relaxation Oscillations: Drinking Bird.- 19 Relaxation Oscillations: Tunnel Diode.- 20 Hard Spring.- 21 Nonlinear Resonance Curve: Mechanical.- 22 Nonlinear Resonance Curve: Electrical.- 23 Nonlinear Resonance Curve: Magnetic.- 24 Subharmonic Response: Period Doubling.- 25 Diode: Period Doubling.- 26 Five-Well Magnetic Potential.- 27 Power Spectrum.- 28 Entrainment and Quasiperiodicity.- 29 Quasiperiodicity.- 30 Chua's Butterfly.- 31 Route to Chaos.- 32 Driven Spin Toy.- 33 Mapping.

Rezensionen

"This book is a revision of an earlier work that looked at nonlinear physics using MAPLE" software. As with that work, Enns and McGuire incorporate theory, experiment, and numerical applications in a thorough introduction to a wide range of nonlinear topics. Also included is a CD-ROM with the needed MATHEMATICA files. The book assumes no familiarity with nonlinear physics or MATHEMATICA . The authors do an extraordinary job of integrating application and theory. They provide applications from a variety of disciplines throughout the sections that introduce the theory and that look at methods of analysis and consider the various approaches to addressing nonlinear problems. It is not an exaggeration to say that this book considers all areas of interest in nonlinear analysis with solid introductions. (This reviewer, having taught the basics of nonlinear physics over the last 15 years, wishes he had had this book as a tutor.) Added to this are 33 experimental activities using MATHEMATICA that demonstrate concepts and applied examples." -- CHOICE.