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Essentials of Mathematica: With Applications to Mathematics and Physics, based on the lecture notes of a course taught at the University of Illinois at Chicago to advanced undergraduate and graduate students, teaches how to use Mathematica to solve a wide variety problems in mathematics and physics. The text assumes no previous exposure to Mathematica. It is illustrated with many detailed examples that require the student to construct meticulous, step-by-step, easy-to-read Mathematica programs. It includes many detailed graphics, with instructions to students on how to achieve similar results. The aim of Essentials of Mathematica is to provide the reader with Mathematica proficiency quickly and efficiently. The first part, in which the reader learns how to use a variety of Mathematica commands, avoids long discussions and overly sophisticated techniques. The second part covers a broad range of applications in physics and applied mathematics, including negative and complex bases, the double pendulum, fractals, the logistic map, the quantum harmonic oscillator, the quantum square potential, the Van der Pol oscillator, the Duffing oscillator, multilane bidirectional pedestrian traffic, public-key encryption, tautochrone curves, Iterated function systems, motion of a bead on a rotating circle, Mersenne and perfect numbers, Lindenmayer systems, skydiving, Lorenz equations, the Foucault's pendulum, and Julia and Mandelbrot sets.

Physics. --- Computer science --- Computer software. --- Computational intelligence. --- Mathematical Methods in Physics. --- Theoretical, Mathematical and Computational Physics. --- Numerical and Computational Physics. --- Mathematical Software. --- Mathematics of Computing. --- Computational Intelligence. --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- Software, Computer --- Computer systems --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Mathematics. --- Mathematics --- Mathematica (Computer program language) --- Data processing. --- Domain-specific programming languages --- Mathematical physics. --- Computer science. --- Engineering. --- Numerical and Computational Physics, Simulation. --- Construction --- Industrial arts --- Technology --- Informatics --- Science --- Physical mathematics --- Physics --- Computer science—Mathematics.

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Functional analysis --- Analyse fonctionnelle --- 51-7 --- 517.98 --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc. --- Functional analysis and operator theory --- Functional analysis. --- Analytic functions --- Analytic functions. --- 517.98 Functional analysis and operator theory --- 51-7 Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc. --- Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc

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Modeling Complex Systems, 2nd Edition, explores the process of modeling complex systems, providing examples from such diverse fields as ecology, epidemiology, sociology, seismology, and economics. It illustrates how models of complex systems are built and provides indispensable mathematical tools for studying their dynamics. This vital introductory text is useful for advanced undergraduate students in various scientific disciplines, and serves as an important reference book for graduate students and young researchers. This enhanced second edition includes: . -recent research results and bibliographic references -extra footnotes which provide biographical information on cited scientists who have made significant contributions to the field -new and improved worked-out examples to aid a student’s comprehension of the content -exercises to challenge the reader and complement the material Nino Boccara is also the author of Essentials of Mathematica: With Applications to Mathematics and Physics (Springer, 2007).

Electronic books. -- local. --- System analysis -- Mathematical models. --- System theory -- Mathematical models. --- System theory --- System analysis --- Civil & Environmental Engineering --- Physics --- Physical Sciences & Mathematics --- Engineering & Applied Sciences --- Operations Research --- Atomic Physics --- Mathematical models --- Mathematical models. --- Systems, Theory of --- Systems science --- Computer science. --- Algorithms. --- Computer simulation. --- Computer mathematics. --- Physics. --- Statistical physics. --- Dynamical systems. --- Computer Science. --- Simulation and Modeling. --- Algorithm Analysis and Problem Complexity. --- Computational Mathematics and Numerical Analysis. --- Statistical Physics, Dynamical Systems and Complexity. --- Numerical and Computational Physics. --- Computational Science and Engineering. --- Science --- Philosophy --- Computer software. --- Computer science --- Complex Systems. --- Numerical and Computational Physics, Simulation. --- Mathematics. --- Informatics --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Software, Computer --- Computer systems --- Computer modeling --- Computer models --- Modeling, Computer --- Models, Computer --- Simulation, Computer --- Electromechanical analogies --- Simulation methods --- Model-integrated computing --- Mathematics --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Statics --- Mathematical statistics --- Algorism --- Algebra --- Arithmetic --- Statistical methods --- Foundations

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Thermodynamics