Athanassios Protopapas's Books

Lemon and Lime Library

An Articulation Screen and Resource Pack

By: Rebecca Palmer,Athanassios Protopapas

Write a review Read reviews Take a Quiz Solve Book Puzzle

Lemon and Lime Library

An Articulation Screen and Resource Pack

By: Rebecca Palmer,Athanassios Protopapas

This comprehensive resource profiles the articulation ability of a client, identifies areas in particular need of treatment and provides the material and tools to create tailor-made practice worksheets. The downloadable resources generate word lists according to the linguistic and phonetic criteria defined by the therapist. Words can also be added to the Library by the therapist allowing it to grow over time and to store a large number of words for articulation practice. Tailor-made lists of practice words and sentences, as well as pictures and instructions, can be designed and printed for individual clients or students. There are seven levels of articulation practice in the order of single sounds; consonant-vowel combinations; DDK rates; short words; multisyllabic words; short phrases with the target sound in one word; and longer sentences saturated with the target sound. The work includes an articulation screening test using words not in the Library to indicate the areas of greatest difficulty and to assess the generalisation of articulation skills. This versatile resource can be used with adults or children and will be invaluable to speech language therapists, teachers, and students of phonetics.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

216

Publisher

Routledge

Published Date

ISBN 10

1351688693

ISBN 13

9781351688697

Modern Mathematical Methods For Scientists And Engineers: A Street-smart Introduction

By: Athanassios Fokas,Efthimios Kaxiras

Write a review Read reviews Take a Quiz Solve Book Puzzle

Modern Mathematical Methods For Scientists And Engineers: A Street-smart Introduction

By: Athanassios Fokas,Efthimios Kaxiras

Modern Mathematical Methods for Scientists and Engineers is a modern introduction to basic topics in mathematics at the undergraduate level, with emphasis on explanations and applications to real-life problems. There is also an 'Application' section at the end of each chapter, with topics drawn from a variety of areas, including neural networks, fluid dynamics, and the behavior of 'put' and 'call' options in financial markets. The book presents several modern important and computationally efficient topics, including feedforward neural networks, wavelets, generalized functions, stochastic optimization methods, and numerical methods.A unique and novel feature of the book is the introduction of a recently developed method for solving partial differential equations (PDEs), called the unified transform. PDEs are the mathematical cornerstone for describing an astonishingly wide range of phenomena, from quantum mechanics to ocean waves, to the diffusion of heat in matter and the behavior of financial markets. Despite the efforts of many famous mathematicians, physicists and engineers, the solution of partial differential equations remains a challenge.The unified transform greatly facilitates this task. For example, two and a half centuries after Jean d'Alembert formulated the wave equation and presented a solution for solving a simple problem for this equation, the unified transform derives in a simple manner a generalization of the d'Alembert solution, valid for general boundary value problems. Moreover, two centuries after Joseph Fourier introduced the classical tool of the Fourier series for solving the heat equation, the unified transform constructs a new solution to this ubiquitous PDE, with important analytical and numerical advantages in comparison to the classical solutions. The authors present the unified transform pedagogically, building all the necessary background, including functions of real and of complex variables and the Fourier transform, illustrating the method with numerous examples.Broad in scope, but pedagogical in style and content, the book is an introduction to powerful mathematical concepts and modern tools for students in science and engineering.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

568

Publisher

World Scientific

Published Date

ISBN 10

180061182X

ISBN 13

9781800611825

Lemon and Lime Library

An Articulation Screen and Resource Pack

By: Rebecca Palmer,Athanassios Protopapas

Write a review Read reviews Take a Quiz Solve Book Puzzle

Lemon and Lime Library

An Articulation Screen and Resource Pack

By: Rebecca Palmer,Athanassios Protopapas

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

216

Publisher

Routledge

Published Date

ISBN 10

1351688693

ISBN 13

9781351688697

Book's by Athanassios Protopapas

Lemon and Lime Library

Lemon and Lime Library

Modern Mathematical Methods For Scientists And Engineers: A Street-smart Introduction

Modern Mathematical Methods For Scientists And Engineers: A Street-smart Introduction

Lemon and Lime Library

Lemon and Lime Library

Username

Password

Username

Password

Password again

Birthday

Email