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DePaola D: Essential Math for Physics
Undergraduates

Essential Math for Physics Undergraduates

Practical Examples with Python Tools

Quantitative Biology

Dirac's Dream tells the story of the quest for the magnetic monopole, the long lost brother of the electron, in Maxwell's four famous equations. The existence of the magnetic monopole, first suggested by the curious asymmetry of Maxwell's equations from over 150 years ago, if confirmed would mark a revolutionary paradigm shift in our understanding of the universe, resounding across the entire field of physics, from electromagnetic theory to cosmology.

Dirac's Dream: The Quest For The Magnetic Monopole

Origami Engineering: Combining Science, Art, And Industry

Storytelling with Data Box Set

Mathematics and Biomedical Engineering in Medicine, Physiology and Health Sciences is a visionary book, whose purpose is to demonstrate how fundamental mathematics and biomedical engineering can be incorporated into physiology, medicine, and health sciences teaching, research, and clinical practice to make these disciplines more quantitative and computational, and hence more explanatory and informative. The book also provides more quantitative formulation of medical procedures, towards supporting the growing field of precision medicine.

Mathematics and Biomedical Engineering in Medicine, Physiology and Health Sciences

This book makes an attempt to introduce the physical concept behind the operation of microwave and millimeter wave semiconductor devices in detail. It is written for undergraduates and postgraduates of Physics, Electronics, Electrical and Electronics Engineering.

Physics and Application

Microwave Semiconductor Devices

Series in Materials Science and Engineering

This book provides an introduction to the geometrical and topological methods that have become essential tools for soft condensed matter physicists. The emphasis is on providing mathematical tools in clear but precise language, focusing on fundamental concepts using real examples to illustrate for readers in vivid, three-dimensional fashion. The motivation is clearly provided using problems from soft condensed matter, from the packing of colloids to liquid crystals and thermal fluctuations of lipid membranes.

Geometry and Topology of Soft Materials

Dynamics and Astrophysics of Galaxies

Selected Topics

Quantum Modelling of Economic and Financial Systems

A Practical Introduction

Membrane Protein Bioinformatics

How ideas from science can transform your life

The Art of Physics

Scaling (zooming in or out) is taking a close or distant view of an object. Infinite scaling (the scaling parameter tends to zero or infinity) may lead to a limit which is self-similar and much simpler than the original object. For instance, the classical Donsker's theorem says that all weakly dependent stationary processes with finite variance scale to Brownian motion at large scales. In the case of a random field indexed by two-dimensional parameter, both types of scaling can be anisotropic, meaning that the horizontal and vertical axes are scaled at different rate determined by the ratio γ&gt;0 of the scaling exponents along the axes. The natural questions under such scaling are whether the scaling limits exist for any γ&gt;0, and what are these limits are. The book tries to answer these questions. It introduces the concept of scaling transition and discusses its existence for a natural class of planar random fields including Gaussian, linear and some nonlinear ones. The scaling limits are identified and exhibit a surprising trichitomy at a critical point γ0, with 'unbalanced' limits having unusual path properties and dependence structure along one of the coordinate axes. Scaling transition occurs in applied sciences (telecommunications and econometrics) when aggregating independent processes with long-range dependence in which case 'unbalanced' limits are classical Gaussian or stable random fields.

Anisotropic Scaling Of Random Fields With Long-range Dependence: Scaling Limits Of Random Fields With Applications

Essential Math for Physics Undergraduates

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