Mathematics

Mathematics for Physics

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Form Symmetries and Reduction of Order in Difference Equations

1st Edition

Hassan Sedaghat
March 31, 2020

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...

Spectral Geometry of Partial Differential Operators

1st Edition

Michael Ruzhansky, Makhmud Sadybekov, Durvudkhan Suragan
February 17, 2020

The aim of Spectral Geometry of Partial Differential Operators is to provide a basic and self-contained introduction to the ideas underpinning spectral geometric inequalities arising in the theory of partial differential equations. Historically, one of the first inequalities of the spectral...

Introductory Analysis: An Inquiry Approach

1st Edition

John D. Ross, Kendall C. Richards
February 10, 2020

Introductory Analysis: An Inquiry Approach aims to provide a self-contained, inquiry-oriented approach to undergraduate-level real analysis. The presentation of the material in the book is intended to be "inquiry-oriented'" in that as each major topic is discussed, details of the proofs are left...

Untangling Complex Systems: A Grand Challenge for Science

1st Edition

Pier Luigi Gentili
January 30, 2020

Complex Systems are natural systems that science is unable to describe exhaustively. Examples of Complex Systems are both unicellular and multicellular living beings; human brains; human immune systems; ecosystems; human societies; the global economy; the climate and geology of our planet. This...

Differential Equations: A Modern Approach with Wavelets

1st Edition

Steven Krantz
January 21, 2020

This new book from one of the most published authors in all of mathematics is an attempt to offer a new, more modern take on the Differential Equations course. The world is changing. Because of the theory of wavelets, Fourier analysis is ever more important and central. And applications are a...

Differential Geometry of Manifolds

2nd Edition

Stephen Lovett
December 17, 2019

Differential Geometry of Manifolds, Second Edition presents the extension of differential geometry from curves and surfaces to manifolds in general. The book provides a broad introduction to the field of differentiable and Riemannian manifolds, tying together classical and modern formulations. It...

A Theoretical Introduction to Numerical Analysis

1st Edition

Victor S. Ryaben'kii, Semyon V. Tsynkov
December 17, 2019

A Theoretical Introduction to Numerical Analysis presents the general methodology and principles of numerical analysis, illustrating these concepts using numerical methods from real analysis, linear algebra, and differential equations. The book focuses on how to efficiently represent mathematical...

Nonlinear Systems and Their Remarkable Mathematical Structures: Volume 2

1st Edition

Norbert Euler, Maria Clara Nucci
November 19, 2019

Nonlinear Systems and Their Remarkable Mathematical Structures, Volume 2 is written in a careful pedagogical manner by experts from the field of nonlinear differential equations and nonlinear dynamical systems (both continuous and discrete). This book aims to clearly illustrate the mathematical...

Spectral Methods Using Multivariate Polynomials On The Unit Ball

1st Edition

Kendall Atkinson, David Chien, Olaf Hansen
November 08, 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...

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...

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