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1000 tulosta hakusanalla Roderick S C Wong

Lecture Notes On Applied Analysis

Lecture Notes On Applied Analysis

Roderick S C Wong

World Scientific Publishing Co Pte Ltd
2010
sidottu
There are several subjects in analysis that are frequently used in applied mathematics, theoretical physics and engineering sciences, such as complex variable, ordinary differential equations, special functions, asymptotic methods, integral transforms and distribution theory. However, for graduate students or upper-level undergraduate students who are not going to specialize in these areas, there is no need for them to study these subjects in great depth. Instead, it would probably be more beneficial for them to have an introduction to these topics so that when the need arises, they know what approach to take. With this in mind, this set of lecture notes has been written for a one-semester course. Sufficient details have also been included to make it sufficiently adaptable for self-study. There are in total six chapters with each covering only a few topics. Furthermore, the chapters are all self-contained. The prerequisites for the readers of this book are advanced calculus, a first course in ordinary differential equations and elementary complex variable.
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Asymptotic Analysis

Asymptotic Analysis

Roderick S C Wong; Xiang-sheng Wang

WORLD SCIENTIFIC PUBLISHING CO PTE LTD
2026
sidottu
This volume brings together 30 chapters across five parts, offering a structured, in-depth survey of asymptotic analysis and its applications. Readers will find rigorous treatments of orthogonal polynomials, boundary layer problems, saddle-point integrals, turning point theory, Airy and Bessel expansions, special functions, and modern approaches to difference equations, differential equations, Riemann-Hilbert problems, integrals, and singular perturbation problems. Each chapter blends classical foundations with recent breakthroughs, making the book both a comprehensive reference and a graduate-level textbook with exercises for hands-on learning.Over the past three decades, asymptotic analysis has become indispensable in number theory, combinatorics, probability and statistics, mathematical physics, engineering, and applied sciences, equipping researchers and students with powerful methods for solving complex problems. This book not only surveys the latest advances in asymptotic methods but also demonstrates their practical applications across diverse mathematical models.Designed for advanced undergraduate students, graduate students, researchers, and instructors, the text can be used as a reference guide to modern asymptotic techniques or adapted into course modules, strengthening both theoretical understanding and applied problem-solving.
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Asymptotic Analysis

Asymptotic Analysis

Roderick S C Wong; Xiang-sheng Wang

WORLD SCIENTIFIC PUBLISHING CO PTE LTD
2026
nidottu
This volume brings together 30 chapters across five parts, offering a structured, in-depth survey of asymptotic analysis and its applications. Readers will find rigorous treatments of orthogonal polynomials, boundary layer problems, saddle-point integrals, turning point theory, Airy and Bessel expansions, special functions, and modern approaches to difference equations, differential equations, Riemann-Hilbert problems, integrals, and singular perturbation problems. Each chapter blends classical foundations with recent breakthroughs, making the book both a comprehensive reference and a graduate-level textbook with exercises for hands-on learning.Over the past three decades, asymptotic analysis has become indispensable in number theory, combinatorics, probability and statistics, mathematical physics, engineering, and applied sciences, equipping researchers and students with powerful methods for solving complex problems. This book not only surveys the latest advances in asymptotic methods but also demonstrates their practical applications across diverse mathematical models.Designed for advanced undergraduate students, graduate students, researchers, and instructors, the text can be used as a reference guide to modern asymptotic techniques or adapted into course modules, strengthening both theoretical understanding and applied problem-solving.
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More Explorations in Complex Functions

More Explorations in Complex Functions

Richard Beals; Roderick S.C. Wong

Springer International Publishing AG
2023
sidottu
More Explorations in Complex Functions is something of a sequel to GTM 287, Explorations in Complex Functions. Both texts introduce a variety of topics, from core material in the mainstream of complex analysis to tools that are widely used in other areas of mathematics and applications, but there is minimal overlap between the two books. The intended readership is the same, namely graduate students and researchers in complex analysis, independent readers, seminar attendees, or instructors for a second course in complex analysis. Instructors will appreciate the many options for constructing a second course that builds on a standard first course in complex analysis. Exercises complement the results throughout. There is more material in this present text than one could expect to cover in a year’s course in complex analysis. A mapping of dependence relations among chapters enables instructors and independent readers a choice of pathway to reading the text. Chapters 2, 4, 5, 7, and 8 contain the function theory background for some stochastic equations of current interest, such as SLE.The text begins with two introductory chapters to be used as a resource. Chapters 3 and 4 are stand-alone introductions to complex dynamics and to univalent function theory, including deBrange’s theorem, respectively. Chapters 5—7 may be treated as a unit that leads from harmonic functions to covering surfaces to the uniformization theorem and Fuchsian groups. Chapter 8 is a stand-alone treatment of quasiconformal mapping that paves the way for Chapter 9, an introduction to Teichmüller theory. The final chapters, 10–14, are largely stand-alone introductions to topics of both theoretical and applied interest: the Bergman kernel, theta functions and Jacobi inversion, Padé approximants and continued fractions, the Riemann—Hilbert problem and integral equations, and Darboux’s method for computing asymptotics.
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More Explorations in Complex Functions

More Explorations in Complex Functions

Richard Beals; Roderick S.C. Wong

Springer International Publishing AG
2024
nidottu
More Explorations in Complex Functions is something of a sequel to GTM 287, Explorations in Complex Functions. The intended readership is the same, namely graduate students and researchers in complex analysis, independent readers, seminar attendees, or instructors for a second course in complex analysis.
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Selected Works Of Roderick S. C. Wong, The - Volume 4

Selected Works Of Roderick S. C. Wong, The - Volume 4

WORLD SCIENTIFIC PUBLISHING CO PTE LTD
2025
sidottu
This book represents a distinguished collection of research papers authored by the esteemed Professor Roderick Wong, a globally recognized mathematician, and a pioneer in the field of applied mathematics. His brilliant academic journey has spanned across different continents, including North America and Hong Kong.Throughout his illustrious career, Professor Wong has consistently made profound and impactful contributions that have significantly advanced the domain of applied mathematics. His exceptional achievements have been widely acknowledged and celebrated through a multitude of prestigious awards and honors. Notably, he was bestowed with the esteemed title of Fellow of the Royal Society of Canada in 1993, recognized as a foreign member of the Academy of Sciences of Turin (Italy) in 2001, and honored with the Chevalier dans l'Ordre National de la Légion d'Honneur by the French government in 2004. Additionally, Professor Wong's remarkable accomplishments have led to his membership in the European Academy of Sciences in 2007. These accolades serve as a testament to his exemplary contributions to the field.The book, showcasing Professor Wong's research papers, not only reflects his immense expertise and profound insights but also serves as a tribute to his remarkable achievements.It is an invaluable resource for researchers and graduate students seeking to explore the frontiers of applied analysis, providing them with a rare opportunity to explore the intellectual legacy of a true luminary in the field.
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Selected Works Of Roderick S. C. Wong, The (In 3 Volumes)

Selected Works Of Roderick S. C. Wong, The (In 3 Volumes)

World Scientific Publishing Co Pte Ltd
2015
sidottu
This collection, in three volumes, presents the scientific achievements of Roderick S C Wong, spanning 45 years of his career. It provides a comprehensive overview of the author's work which includes significant discoveries and pioneering contributions, such as his deep analysis on asymptotic approximations of integrals and uniform asymptotic expansions of orthogonal polynomials and special functions; his important contributions to perturbation methods for ordinary differential equations and difference equations; and his advocation of the Riemann-Hilbert approach for global asymptotics of orthogonal polynomials.The book is an essential source of reference for mathematicians, statisticians, engineers, and physicists. It is also a suitable reading for graduate students and interested senior year undergraduate students.
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Explorations in Complex Functions

Explorations in Complex Functions

Richard Beals; Roderick S. C. Wong

Springer Nature Switzerland AG
2020
sidottu
This textbook explores a selection of topics in complex analysis. From core material in the mainstream of complex analysis itself, to tools that are widely used in other areas of mathematics, this versatile compilation offers a selection of many different paths. Readers interested in complex analysis will appreciate the unique combination of topics and connections collected in this book. Beginning with a review of the main tools of complex analysis, harmonic analysis, and functional analysis, the authors go on to present multiple different, self-contained avenues to proceed. Chapters on linear fractional transformations, harmonic functions, and elliptic functions offer pathways to hyperbolic geometry, automorphic functions, and an intuitive introduction to the Schwarzian derivative. The gamma, beta, and zeta functions lead into L-functions, while a chapter on entire functions opens pathways to the Riemann hypothesis and Nevanlinna theory. Cauchy transforms give riseto Hilbert and Fourier transforms, with an emphasis on the connection to complex analysis. Valuable additional topics include Riemann surfaces, steepest descent, tauberian theorems, and the Wiener–Hopf method. Showcasing an array of accessible excursions, Explorations in Complex Functions is an ideal companion for graduate students and researchers in analysis and number theory. Instructors will appreciate the many options for constructing a second course in complex analysis that builds on a first course prerequisite; exercises complement the results throughout.
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Explorations in Complex Functions

Explorations in Complex Functions

Richard Beals; Roderick S. C. Wong

Springer Nature Switzerland AG
2021
nidottu
This textbook explores a selection of topics in complex analysis. From core material in the mainstream of complex analysis itself, to tools that are widely used in other areas of mathematics, this versatile compilation offers a selection of many different paths. Readers interested in complex analysis will appreciate the unique combination of topics and connections collected in this book. Beginning with a review of the main tools of complex analysis, harmonic analysis, and functional analysis, the authors go on to present multiple different, self-contained avenues to proceed. Chapters on linear fractional transformations, harmonic functions, and elliptic functions offer pathways to hyperbolic geometry, automorphic functions, and an intuitive introduction to the Schwarzian derivative. The gamma, beta, and zeta functions lead into L-functions, while a chapter on entire functions opens pathways to the Riemann hypothesis and Nevanlinna theory. Cauchy transforms give riseto Hilbert and Fourier transforms, with an emphasis on the connection to complex analysis. Valuable additional topics include Riemann surfaces, steepest descent, tauberian theorems, and the Wiener–Hopf method. Showcasing an array of accessible excursions, Explorations in Complex Functions is an ideal companion for graduate students and researchers in analysis and number theory. Instructors will appreciate the many options for constructing a second course in complex analysis that builds on a first course prerequisite; exercises complement the results throughout.
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Oxford Reading Tree: Level 4: More Stories C: Dad's Jacket

Oxford Reading Tree: Level 4: More Stories C: Dad's Jacket

Roderick Hunt

Oxford University Press
2011
nidottu
The Level 4 Biff, Chip and Kipper Stories, written by Roderick Hunt and illustrated by Alex Brychta, provide a rich story context to help develop language comprehension and decoding skills. Stories, More Stories A, More Stories B and More Stories C help children to progress from teacher-supported reading at the early Levels to more independent reading. Books contain inside cover notes to support children in their reading. Help with children's reading development is also available at www.oxfordowl.co.uk.
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Oxford Reading Tree: Level 5: More Stories C: Dad's Run

Oxford Reading Tree: Level 5: More Stories C: Dad's Run

Roderick Hunt

Oxford University Press
2011
nidottu
The Level 5 Biff, Chip and Kipper Stories, written by Roderick Hunt and illustrated by Alex Brychta, provide a rich story context to help develop language comprehension and decoding skills. Stories, More Stories A, More Stories B and More Stories C take the children from familiar, predictable events at home and school into the less certain realms of fantasy through the magic key adventures. Books contain inside cover notes to support children in their reading. Help with childrens reading development is also available at www.oxfordowl.co.uk.
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Leila & Roderick

Leila & Roderick

S. C. Rose

Createspace Independent Publishing Platform
2015
nidottu
Par le plus grand des hasards, une jeune fille de bonne famille croise le chemin d'un guerrier redoutable au charme ravageur. Il suffit d'une parole, d'une caresse pour que leurs vies soient boulevers es. Ils se perdent, puis se retrouvent... ... Mais les v nements semblent se liguer contre eux. Une menace ancestrale, que tous croyaient disparue jamais, semble rena tre de ses cendres. Et dans le G vaudan, on sait bien qu'une b te peut en cacher une autre. Leila et Roderick sauront-ils faire face ce que le destin leur r serve ? Seront-ils la hauteur ? Car parfois, la menace ne se trouve pas l o on l'attend...
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