# an introduction to laplace transforms and fourier series springer undergraduate mathematics series

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## An Introduction To Laplace Transforms And Fourier Series

**Author :**Phil Dyke

**ISBN :**9781447163954

**Genre :**Mathematics

**File Size :**23. 68 MB

**Format :**PDF, ePub, Mobi

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In this book, there is a strong emphasis on application with the necessary mathematical grounding. There are plenty of worked examples with all solutions provided. This enlarged new edition includes generalised Fourier series and a completely new chapter on wavelets. Only knowledge of elementary trigonometry and calculus are required as prerequisites. An Introduction to Laplace Transforms and Fourier Series will be useful for second and third year undergraduate students in engineering, physics or mathematics, as well as for graduates in any discipline such as financial mathematics, econometrics and biological modelling requiring techniques for solving initial value problems.

## An Introduction To Laplace Transforms And Fourier Series

**Author :**P.P.G. Dyke

**ISBN :**9781447105053

**Genre :**Mathematics

**File Size :**40. 30 MB

**Format :**PDF, ePub, Docs

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This introduction to Laplace transforms and Fourier series is aimed at second year students in applied mathematics. It is unusual in treating Laplace transforms at a relatively simple level with many examples. Mathematics students do not usually meet this material until later in their degree course but applied mathematicians and engineers need an early introduction. Suitable as a course text, it will also be of interest to physicists and engineers as supplementary material.

## Theory Of Periodic Conjugate Heat Transfer

**Author :**Yuri B. Zudin

**ISBN :**9783662534458

**Genre :**Science

**File Size :**59. 7 MB

**Format :**PDF, ePub, Docs

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This book provides a detailed yet comprehensive presentation of the theory of periodic conjugate heat transfer. It contains an analytical approach to the effects of thermophysical and geometrical properties of a solid body on the experimentally determined heat transfer coefficient. The main objective of the book is a simplified description of the interaction between a solid body and a fluid as a boundary value problem of the heat conduction equation.This third and extended edition covers Wall's thermal effect on Landau stability, gas bubbles pulsations in fluids, and also the interplay between periodic conjugate heat transfer and non-Fourier heat conduction. The target audience primarily comprises research experts in the field of thermodynamics and fluid dynamics, but the book may also be beneficial for graduate students in engineering.

## A Primer On Fourier Analysis For The Geosciences

**Author :**Robin Crockett

**ISBN :**9781107142886

**Genre :**Mathematics

**File Size :**82. 37 MB

**Format :**PDF, Kindle

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An intuitive introduction to basic Fourier theory, with numerous practical applications from the geosciences and worked examples in R.

## Newsletter

**Author :**New Zealand Mathematical Society

**ISBN :**UOM:39015057377932

**Genre :**Mathematics

**File Size :**57. 88 MB

**Format :**PDF, Docs

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## American Book Publishing Record

**Author :**

**ISBN :**UOM:39015036928656

**Genre :**Reference

**File Size :**75. 39 MB

**Format :**PDF

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## Mathematical Reviews

**Author :**

**ISBN :**UOM:39015076649915

**Genre :**Mathematics

**File Size :**67. 48 MB

**Format :**PDF, Docs

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## Sturm Liouville Theory And Its Applications

**Author :**Mohammed Al-Gwaiz

**ISBN :**9781846289712

**Genre :**Mathematics

**File Size :**89. 46 MB

**Format :**PDF, Kindle

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Developed from a course taught to senior undergraduates, this book provides a unified introduction to Fourier analysis and special functions based on the Sturm-Liouville theory in L2. The text’s presentation follows a clear, rigorous mathematical style that is highly readable. The author first establishes the basic results of Sturm-Liouville theory and then provides examples and applications to illustrate the theory. The final two chapters, on Fourier and Laplace transformations, demonstrate the use of the Fourier series method for representing functions to integral representations.

## Applied Partial Differential Equations

**Author :**J David Logan

**ISBN :**9781468405330

**Genre :**Mathematics

**File Size :**38. 25 MB

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This textbook is for the standard, one-semester, junior-senior course that often goes by the title "Elementary Partial Differential Equations" or "Boundary Value Problems;' The audience usually consists of stu dents in mathematics, engineering, and the physical sciences. The topics include derivations of some of the standard equations of mathemati cal physics (including the heat equation, the· wave equation, and the Laplace's equation) and methods for solving those equations on bounded and unbounded domains. Methods include eigenfunction expansions or separation of variables, and methods based on Fourier and Laplace transforms. Prerequisites include calculus and a post-calculus differential equations course. There are several excellent texts for this course, so one can legitimately ask why one would wish to write another. A survey of the content of the existing titles shows that their scope is broad and the analysis detailed; and they often exceed five hundred pages in length. These books gen erally have enough material for two, three, or even four semesters. Yet, many undergraduate courses are one-semester courses. The author has often felt that students become a little uncomfortable when an instructor jumps around in a long volume searching for the right topics, or only par tially covers some topics; but they are secure in completely mastering a short, well-defined introduction. This text was written to proVide a brief, one-semester introduction to partial differential equations.

## Ordinary And Partial Differential Equations

**Author :**Ravi P. Agarwal

**ISBN :**9780387791463

**Genre :**Mathematics

**File Size :**88. 73 MB

**Format :**PDF, ePub, Mobi

**Download :**885

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In this undergraduate/graduate textbook, the authors introduce ODEs and PDEs through 50 class-tested lectures. Mathematical concepts are explained with clarity and rigor, using fully worked-out examples and helpful illustrations. Exercises are provided at the end of each chapter for practice. The treatment of ODEs is developed in conjunction with PDEs and is aimed mainly towards applications. The book covers important applications-oriented topics such as solutions of ODEs in form of power series, special functions, Bessel functions, hypergeometric functions, orthogonal functions and polynomials, Legendre, Chebyshev, Hermite, and Laguerre polynomials, theory of Fourier series. Undergraduate and graduate students in mathematics, physics and engineering will benefit from this book. The book assumes familiarity with calculus.