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Tables of Integral Transforms
  • Language: en
  • Pages: 422

Tables of Integral Transforms

  • Type: Book
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  • Published: 1954
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  • Publisher: Unknown

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Higher Transcendental Functions
  • Language: en
  • Pages: 416

Higher Transcendental Functions

  • Type: Book
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  • Published: 2007
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  • Publisher: Unknown

"[Among] the most widely cited mathematical works of all time and a basic reference source for generations of applied mathematicians and physicists throughout the world."—Bulletin of the London Mathematical Society This three-volume series is based in part on notes by Professor Harry Bateman of the California Institute of Technology, a remarkable scientist who made outstanding contributions to applied mathematics. During his final years, Professor Bateman embarked upon a project whose successful completion, he believed, would prove of great value to scientists in all fields. Higher Transcendental Functions represents the culmination of Professor Bateman's goal. A team of editors led by the...

Encyclopedia of Special Functions: The Askey–Bateman Project
  • Language: en

Encyclopedia of Special Functions: The Askey–Bateman Project

Extensive update of the Bateman Manuscript Project. Volume 1 covers orthogonal polynomials and moment problems.

Transforms and Applications Handbook
  • Language: en
  • Pages: 914

Transforms and Applications Handbook

  • Type: Book
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  • Published: 2018-09-03
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  • Publisher: CRC Press

Updating the original, Transforms and Applications Handbook, Third Edition solidifies its place as the complete resource on those mathematical transforms most frequently used by engineers, scientists, and mathematicians. Highlighting the use of transforms and their properties, this latest edition of the bestseller begins with a solid introduction to signals and systems, including properties of the delta function and some classical orthogonal functions. It then goes on to detail different transforms, including lapped, Mellin, wavelet, and Hartley varieties. Written by top experts, each chapter provides numerous examples and applications that clearly demonstrate the unique purpose and properti...

A Determination of the Electromagnetic Scattering from a Cavity-backed Plane Surface
  • Language: en
  • Pages: 106
Visualizing Quaternions
  • Language: en
  • Pages: 530

Visualizing Quaternions

  • Type: Book
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  • Published: 2006-02-06
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  • Publisher: Elsevier

Introduced 160 years ago as an attempt to generalize complex numbers to higher dimensions, quaternions are now recognized as one of the most important concepts in modern computer graphics. They offer a powerful way to represent rotations and compared to rotation matrices they use less memory, compose faster, and are naturally suited for efficient interpolation of rotations. Despite this, many practitioners have avoided quaternions because of the mathematics used to understand them, hoping that some day a more intuitive description will be available.The wait is over. Andrew Hanson's new book is a fresh perspective on quaternions. The first part of the book focuses on visualizing quaternions t...

Integral Transforms in Science and Engineering
  • Language: en
  • Pages: 495

Integral Transforms in Science and Engineering

Integral transforms are among the main mathematical methods for the solution of equations describing physical systems, because, quite generally, the coupling between the elements which constitute such a system-these can be the mass points in a finite spring lattice or the continuum of a diffusive or elastic medium-prevents a straightforward "single-particle" solution. By describing the same system in an appropriate reference frame, one can often bring about a mathematical uncoupling of the equations in such a way that the solution becomes that of noninteracting constituents. The "tilt" in the reference frame is a finite or integral transform, according to whether the system has a finite or i...

Lectures on Complex Integration
  • Language: en
  • Pages: 291

Lectures on Complex Integration

The theory of complex functions is a strikingly beautiful and powerful area of mathematics. Some particularly fascinating examples are seemingly complicated integrals which are effortlessly computed after reshaping them into integrals along contours, as well as apparently difficult differential and integral equations, which can be elegantly solved using similar methods. To use them is sometimes routine but in many cases it borders on an art. The goal of the book is to introduce the reader to this beautiful area of mathematics and to teach him or her how to use these methods to solve a variety of problems ranging from computation of integrals to solving difficult integral equations. This is done with a help of numerous examples and problems with detailed solutions.

Physical Problems Solved by the Phase-Integral Method
  • Language: en
  • Pages: 230

Physical Problems Solved by the Phase-Integral Method

This book provides a thorough introduction to one of the most efficient approximation methods for the analysis and solution of problems in theoretical physics and applied mathematics. It is written with practical needs in mind and contains a discussion of 50 problems with solutions, of varying degrees of difficulty. The problems are taken from quantum mechanics, but the method has important applications in any field of science involving second order ordinary differential equations. The power of the asymptotic solution of second order differential equations is demonstrated, and in each case the authors clearly indicate which concepts and results of the general theory are needed to solve a particular problem. This book will be ideal as a manual for users of the phase-integral method, as well as a valuable reference text for experienced research workers and graduate students.

NUREG/CR.
  • Language: en
  • Pages: 448

NUREG/CR.

  • Type: Book
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  • Published: 1981
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  • Publisher: Unknown

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