Fourier Series, Fourier Transform and Their Applications to Mathematical Physics

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Science, Physics, Mathematical Physics
Cover of the book Fourier Series, Fourier Transform and Their Applications to Mathematical Physics by Valery Serov, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Valery Serov ISBN: 9783319652627
Publisher: Springer International Publishing Publication: November 26, 2017
Imprint: Springer Language: English
Author: Valery Serov
ISBN: 9783319652627
Publisher: Springer International Publishing
Publication: November 26, 2017
Imprint: Springer
Language: English

This text serves as an introduction to the modern theory of analysis and differential equations with applications in mathematical physics and engineering sciences.  Having outgrown from a series of half-semester courses given at University of Oulu, this book consists of four self-contained parts.

The first part, Fourier Series and the Discrete Fourier Transform, is devoted to the classical one-dimensional trigonometric Fourier series with some applications to PDEs and signal processing.  The second part, Fourier Transform and Distributions, is concerned with distribution theory of L. Schwartz and its applications to the Schrödinger and magnetic Schrödinger operations.  The third part, Operator Theory and Integral Equations, is devoted mostly to the self-adjoint but unbounded operators in Hilbert spaces and their applications to integral equations in such spaces. The fourth and final part, Introduction to Partial Differential Equations, serves as an introduction to modern methods for classical theory of partial differential equations.

Complete with nearly 250 exercises throughout, this text is intended for graduate level students and researchers in the mathematical sciences and engineering. 

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This text serves as an introduction to the modern theory of analysis and differential equations with applications in mathematical physics and engineering sciences.  Having outgrown from a series of half-semester courses given at University of Oulu, this book consists of four self-contained parts.

The first part, Fourier Series and the Discrete Fourier Transform, is devoted to the classical one-dimensional trigonometric Fourier series with some applications to PDEs and signal processing.  The second part, Fourier Transform and Distributions, is concerned with distribution theory of L. Schwartz and its applications to the Schrödinger and magnetic Schrödinger operations.  The third part, Operator Theory and Integral Equations, is devoted mostly to the self-adjoint but unbounded operators in Hilbert spaces and their applications to integral equations in such spaces. The fourth and final part, Introduction to Partial Differential Equations, serves as an introduction to modern methods for classical theory of partial differential equations.

Complete with nearly 250 exercises throughout, this text is intended for graduate level students and researchers in the mathematical sciences and engineering. 

More books from Springer International Publishing

Cover of the book Desiderata Geotechnica by Valery Serov
Cover of the book Semi-Presidential Policy-Making in Europe by Valery Serov
Cover of the book The Pragmatics of Indirect Reports by Valery Serov
Cover of the book Recurrence Quantification Analysis by Valery Serov
Cover of the book Grid Optimal Integration of Electric Vehicles: Examples with Matlab Implementation by Valery Serov
Cover of the book Cognitive Radio Oriented Wireless Networks by Valery Serov
Cover of the book Operational Research by Valery Serov
Cover of the book J Wave Syndromes by Valery Serov
Cover of the book Manual of 3D Echocardiography by Valery Serov
Cover of the book Trends in Mathematical Economics by Valery Serov
Cover of the book Understanding the Course of Social Reality by Valery Serov
Cover of the book The Art of Science by Valery Serov
Cover of the book Enabling Secure and Privacy Preserving Communications in Smart Grids by Valery Serov
Cover of the book Analyzing Financial Data and Implementing Financial Models Using R by Valery Serov
Cover of the book Psychology as the Science of Human Being by Valery Serov
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy