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Books in Nonlinear statistical and applied physics

This portfolio emphasizes the mathematical modeling of complex systems, chaos theory, and statistical methods applied to physical phenomena. Supporting theorists and experimentalists, it features innovative approaches to turbulence, nonlinear dynamics, and computational physics, driving advances in understanding real-world systems and technological applications.

  • Introduction to Quantum Mechanics

    • 2nd Edition
    • S.M. Blinder
    • English
    Introduction to Quantum Mechanics, 2nd Edition provides an accessible, fully updated introduction to the principles of quantum mechanics. It outlines the fundamental concepts of quantum theory, discusses how these arose from classic experiments in chemistry and physics, and presents the quantum-mechanical foundations of current scientific developments.Beginni... with a solid introduction to the key principles underpinning quantum mechanics in Part 1, the book goes on to expand upon these in Part 2, where fundamental concepts such as molecular structure and chemical bonding are discussed. Finally, Part 3 discusses applications of this quantum theory across some newly developing applications, including chapters on Density Functional Theory, Statistical Thermodynamics and Quantum Computing.Drawing on the extensive experience of its expert author, Introduction to Quantum Mechanics, 2nd Edition is a lucid introduction to the principles of quantum mechanics for anyone new to the field, and a useful refresher on fundamental knowledge and latest developments for those varying degrees of background.
  • Mathematics for Physical Science and Engineering

    Symbolic Computing Applications in Maple and Mathematica
    • 2nd Edition
    • Frank E. Harris
    • English
    Mathematics for Physical Science and Engineering is a complete text in mathematics for physical science that includes the use of symbolic computation to illustrate the mathematical concepts and enable the solution of a broader range of practical problems. This book enables professionals to connect their knowledge of mathematics to either or both of the symbolic languages Maple and Mathematica. The book begins by introducing the reader to symbolic computation and how it can be applied to solve a broad range of practical problems. Chapters cover topics that include: infinite series; complex numbers and functions; vectors and matrices; vector analysis; tensor analysis; ordinary differential equations; general vector spaces; Fourier series; partial differential equations; complex variable theory; and probability and statistics. Each important concept is clarified to students through the use of a simple example and often an illustration.
  • Blood Macro- and Microcirculation

    • 1st Edition
    • Chaouqi Misbah
    • English
    Blood Macro- and Microcirculation presents, in a pedagogical way, the tremendous recent progress achieved in the field of blood flow at both micro and macroscales, and with increasing complexities integrating physical, chemical and biological factors. It constitutes a unique backup of idea evolutions from the early 19th century to present day, along with the tremendous, recent progresses in experiments and simulations. Future challenges are also covered, constituting a plethora of major questions spanning the spectrum of fundamental and applied blood flow science.
  • A Primer to the Theory of Critical Phenomena

    • 1st Edition
    • Jurgen M. Honig + 1 more
    • English
    A Primer to the Theory of Critical Phenomena provides scientists in academia and industry, as well as graduate students in physics, chemistry, and geochemistry with the scientific fundamentals of critical phenomena and phase transitions. The book helps readers broaden their understanding of a field that has developed tremendously over the last forty years. The book also makes a great resource for graduate level instructors at universities.
  • Introduction to Fluid Mechanics

    • 2nd Edition
    • Yasuki Nakayama
    • English
    Introduction to Fluid Mechanics, Second Edition, uses clear images and animations of flow patterns to help readers grasp the fundamental rules of fluid behavior. Everyday examples are provided for practical context, before tackling the more involved mathematic techniques that form the basis for computational fluid mechanics. This fully updated and expanded edition builds on the author’s flair for flow visualization with new content. With basic introductions to all essential fluids theory, and exercises to test your progress, this is the ideal introduction to fluids for anyone involved in mechanical, civil, chemical, or biomedical engineering.
  • Physical Kinetics

    • 1st Edition
    • Volume 10
    • L. P. Pitaevskii + 2 more
    • English
    The approach to physical kinetics is closely integrated with that of other branches of physics as presented in the companion volumes of this series. The major part of the contents is concerned with a systematic development of the theory of plasmas, the authority being firmly rooted in the pioneer work of Landau. Although the main scope concerns fully ionized gaseous plasmas, corresponding results are also given for partially ionized plasmas, relativistic plasmas, degenerate or non-ideal plasmas and solid state plasmas. Problems (with answers) are to be found in the text. This work completes the Course of Theoretical Physics begun over 20 years ago
  • The Classical Stefan Problem

    Basic Concepts, Modelling and Analysis with Quasi-Analytical Solutions and Methods
    • 2nd Edition
    • S.C. Gupta
    • English
    The Classical Stefan Problem: Basic Concepts, Modelling and Analysis with Quasi-Analytical Solutions and Methods, New Edition, provides fundamental theory, concepts, modelling and analysis of the physical, mathematical, thermodynamical and metallurgical properties of classical Stefan and Stefan-like problems as applied to heat transfer problems involving phase-changes, such as from liquid to solid. This self-contained work reports and derives the results from tensor analysis, differential geometry, non-equilibrium thermodynamics, physics and functional analysis, and is thoroughly enriched with many appropriate references for an in-depth background reading on theorems. This new edition includes more than 400 pages of new material on quasi-analytical solutions and methods of classical Stefan and Stefan-like problems. The book aims to bridge the gap between the theoretical and solution aspects of the afore-mentioned problems.
  • Lectures on Special Relativity

    • 1st Edition
    • M. G. Bowler
    • English
    The aim of the book is to provide a clear, concise and self-contained discussion of both the structure of the theory of special relativity and its physical content. The point of view is that of a practising physicist who uses relativity daily: relativity is a branch of physics and is regarded as being neither mathematics nor philosophy. Particular care has been taken to elucidate those difficulties, conceptual rather than mathematical, which invariably snare the unwary or inexperienced. The material is liberally illustrated with real examples and problems drawn from both high energy physics and from astrophysics.
  • Mechanics of Granular Materials

    New Models and Constitutive Relations
    • 1st Edition
    • Volume 7
    • James T. Jenkins + 1 more
    • English
    Studies in Applied Mechanics, Volume 7: Mechanics of Granular Materials: New Models and Constitutive Relations provides information pertinent to the fundamental aspects of the mechanics of granular materials. This book presents the theoretical and experimental studies of quasi-static deformations of granular materials. Organized into 30 chapters, this volume begins with an overview of the results on the description of a macroscopic stress measure and measures of the fabric of granular masses that support external loads through frictional contact. This text then introduces some quantities for the macroscopic description of mechanical and graphical characteristics of granular materials. Other chapters consider particle rolling, which appears to be a major microscopic deformation mechanism when interparticle friction is large. This book discusses as well the stress-induced anisotropy of granular materials that have initially strong anisotropic fabric. The final chapter deals with the interpretation of linear instabilities of voidage disturbances in fluidized beds. This book is a valuable resource for scientists, theoreticians, and experimentalists.
  • Fundamentals of Quantum Mechanics

    • 3rd Edition
    • James E. House
    • English
    Fundamentals of Quantum Mechanics, Third Edition is a clear and detailed introduction to quantum mechanics and its applications in chemistry and physics. All required math is clearly explained, including intermediate steps in derivations, and concise review of the math is included in the text at appropriate points. Most of the elementary quantum mechanical models—including particles in boxes, rigid rotor, harmonic oscillator, barrier penetration, hydrogen atom—are clearly and completely presented. Applications of these models to selected “real world” topics are also included.This new edition includes many new topics such as band theory and heat capacity of solids, spectroscopy of molecules and complexes (including applications to ligand field theory), and small molecules of astrophysical interest.