Mathematics

Mathematics for Physics

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Spectral Methods Using Multivariate Polynomials On The Unit Ball

1st Edition

Kendall Atkinson, David Chien, Olaf Hansen
November 11, 2019

Spectral Methods Using Multivariate Polynomials on the Unit Ball is a research level text on a numerical method for the solution of partial differential equations. The authors introduce, illustrate with examples, and analyze 'spectral methods' that are based on multivariate polynomial...

Form Symmetries and Reduction of Order in Difference Equations

1st Edition

Hassan Sedaghat
October 02, 2019

Form Symmetries and Reduction of Order in Difference Equations presents a new approach to the formulation and analysis of difference equations in which the underlying space is typically an algebraic group. In some problems and applications, an additional algebraic or topological structure is...

Mathematics of Quantum Computation and Quantum Technology

1st Edition

Louis Kauffman, Samuel J. Lomonaco
September 23, 2019

Research and development in the pioneering field of quantum computing involve just about every facet of science and engineering, including the significant areas of mathematics and physics. Based on the firm understanding that mathematics and physics are equal partners in the continuing study of...

An Introduction to Random Sets

1st Edition

Hung T. Nguyen
September 19, 2019

The study of random sets is a large and rapidly growing area with connections to many areas of mathematics and applications in widely varying disciplines, from economics and decision theory to biostatistics and image analysis. The drawback to such diversity is that the research reports are...

The Mathematical Principles of Scale Relativity Physics: The Concept of Interpretation

1st Edition

Nicolae Mazilu, Maricel Agop, Ioan Merches
September 16, 2019

  The Mathematical Principles of Scale Relativity Physics: The Concept of Interpretation explores and builds upon the principles of Laurent Nottale’s scale relativity. The authors address a variety of problems encountered by researchers studying the dynamics of physical systems. It explores...

Mathematical Methods of Many-Body Quantum Field Theory

1st Edition

Detlef Lehmann
September 05, 2019

Mathematical Methods of Many-Body Quantum Field Theory offers a comprehensive, mathematically rigorous treatment of many-body physics. It develops the mathematical tools for describing quantum many-body systems and applies them to the many-electron system. These tools include the formalism of...

Partial Differential Equations for Mathematical Physicists

1st Edition

Bijan Kumar Bagchi
July 08, 2019

Partial Differential Equations for Mathematical Physicists is intended for graduate students, researchers of theoretical physics and applied mathematics, and professionals who want to take a course in partial differential equations. This book offers the essentials of the subject with the ...

From Atoms to Higgs Bosons: Voyages in Quasi-Spacetime

1st Edition

Chary Rangacharyulu, Christopher J. A. Polachic
June 07, 2019

The announcement in 2012 that the Higgs boson had been discovered was understood as a watershed moment for the Standard Model of particle physics. It was deemed a triumphant event in the reductionist quest that had begun centuries ago with the ancient Greek natural philosophers. Physicists basked...

General Fractional Derivatives: Theory, Methods and Applications

1st Edition

Xiao-Jun Yang
May 29, 2019

General Fractional Derivatives: Theory, Methods and Applications provides knowledge of the special functions with respect to another function, and the integro-differential operators where the integrals are of the convolution type and exist the singular, weakly singular and nonsingular kernels,...

Handbook of Conformal Mappings and Applications

1st Edition

Prem K. Kythe
March 04, 2019

The subject of conformal mappings is a major part of geometric function theory that gained prominence after the publication of the Riemann mapping theorem — for every simply connected domain of the extended complex plane there is a univalent and meromorphic function that maps such a domain...

Advanced Functional Analysis

1st Edition

Eberhard Malkowsky, Vladimir Rakočević
February 18, 2019

Functional analysis and operator theory are widely used in the description, understanding and control of dynamical systems and natural processes in physics, chemistry, medicine and the engineering sciences. Advanced Functional Analysis is a self-contained and comprehensive reference for advanced...

Sequential Models of Mathematical Physics

1st Edition

Simon Serovajsky
January 25, 2019

The equations of mathematical physics are the mathematical models of the large class of phenomenon of physics, chemistry, biology, economics, etc. In Sequential Models of Mathematical Physics, the author considers the justification of the process of constructing mathematical models. The book seeks...

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