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Oxford Users' Guide to Mathematics

Author : Eberhard Zeidler

Publisher : Oxford University Press

Page : 1309 pages

File Size : 40,28 MB

Release : 2004-08-19

Category : Business & Economics

ISBN : 0198507631

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Book Description

The Oxford Users' Guide to Mathematics is one of the leading handbooks on mathematics available. It presents a comprehensive modern picture of mathematics and emphasises the relations between the different branches of mathematics, and the applications of mathematics in engineering and the natural sciences. The Oxford User's Guide covers a broad spectrum of mathematics starting with the basic material and progressing on to more advanced topics that have come to the fore in the last few decades. The book is organised into mathematical sub-disciplines including analysis, algebra, geometry, foundations of mathematics, calculus of variations and optimisation, theory of probability and mathematical statistics, numerical mathematics and scientific computing, and history of mathematics. The book is supplemented by numerous tables on infinite series, special functions, integrals, integral transformations, mathematical statistics, and fundamental constants in physics. It also includes a comprehensive bibliography of key contemporary literature as well as an extensive glossary and index. The wealth of material, reaching across all levels and numerous sub-disciplines, makes The Oxford User's Guide to Mathematics an invaluable reference source for students of engineering, mathematics, computer science, and the natural sciences, as well as teachers, practitioners, and researchers in industry and academia.



Fractals

Author : Harold M. Hastings

Publisher : Oxford University Press, USA

Page : 256 pages

File Size : 31,76 MB

Release : 1993

Category : Language Arts & Disciplines

ISBN :

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Book Description

Fractals: A User's Guide for the Natural Sciences explains Mandelbrot's fractal geometry and describes some of its applications in the natural world. Written to enable students and researchers to master the methods of this timely subject, the book steers a middle course between the formality of many papers in mathematics and the informality of picture-orientated books on fractals. It is both a logically developed text and an essential `fractals for users' handbook.



Mathematics - Analysis and Approaches

Author : Marlene Torres Skoumal

Publisher :

Page : 832 pages

File Size : 49,12 MB

Release : 2019-03

Category :

ISBN : 9780198427162

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Book Description

Featuring a wealth of digital content, this concept-based Print and Enhanced Online Course Book Pack has been developed in cooperation with the IB to provide the most comprehensive support for the new DP Mathematics: analysis and approaches HL syllabus, for first teaching in September 2019.



Handbook of Mathematical Formulas and Integrals

Author : Alan Jeffrey

Publisher : Elsevier

Page : 590 pages

File Size : 35,24 MB

Release : 2008-01-18

Category : Mathematics

ISBN : 0080556841

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Book Description

The extensive additions, and the inclusion of a new chapter, has made this classic work by Jeffrey, now joined by co-author Dr. H.H. Dai, an even more essential reference for researchers and students in applied mathematics, engineering, and physics. It provides quick access to important formulas, relationships between functions, and mathematical techniques that range from matrix theory and integrals of commonly occurring functions to vector calculus, ordinary and partial differential equations, special functions, Fourier series, orthogonal polynomials, and Laplace and Fourier transforms. During the preparation of this edition full advantage was taken of the recently updated seventh edition of Gradshteyn and Ryzhik's Table of Integrals, Series, and Products and other important reference works. Suggestions from users of the third edition of the Handbook have resulted in the expansion of many sections, and because of the relevance to boundary value problems for the Laplace equation in the plane, a new chapter on conformal mapping, has been added, complete with an atlas of useful mappings. - Comprehensive coverage in reference form of the branches of mathematics used in science and engineering - Organized to make results involving integrals and functions easy to locate - Results illustrated by worked examples



Krylov Subspace Methods

Author : Jörg Liesen

Publisher : Numerical Mathematics and Scie

Page : 408 pages

File Size : 42,54 MB

Release : 2013

Category : Mathematics

ISBN : 0199655413

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Book Description

Describes the principles and history behind the use of Krylov subspace methods in science and engineering. The outcome of the analysis is very practical and indicates what can and cannot be expected from the use of Krylov subspace methods, challenging some common assumptions and justifications of standard approaches.



Fourier Transformation for Pedestrians

Author : Tilman Butz

Publisher : Springer

Page : 250 pages

File Size : 13,92 MB

Release : 2015-05-12

Category : Science

ISBN : 3319169858

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Book Description

This book is an introduction to Fourier Transformation with a focus on signal analysis, based on the first edition. It is well suited for undergraduate students in physics, mathematics, electronic engineering as well as for scientists in research and development. It gives illustrations and recommendations when using existing Fourier programs and thus helps to avoid frustrations. Moreover, it is entertaining and you will learn a lot unconsciously. Fourier series as well as continuous and discrete Fourier transformation are discussed with particular emphasis on window functions. Filter effects of digital data processing are illustrated. Two new chapters are devoted to modern applications. The first deals with data streams and fractional delays and the second with the back-projection of filtered projections in tomography. There are many figures and mostly easy to solve exercises with solutions.



Fundamental Physics for Probing and Imaging

Author : Wade Allison

Publisher : Oxford University Press

Page : 349 pages

File Size : 49,46 MB

Release : 2006-10-26

Category : Law

ISBN : 0199203881

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Book Description

This book addresses the question 'What is physics for?' Physics has provided many answers for mankind by extending his ability to see. Modern technology has enabled the power of physics to see into objects to be used in archaeology, medicine including therapy, geophysics, forensics and other spheres important to the good of society. The book looks at the fundamental physics of the various methods and how they are used by technology. These methods are magnetic resonance, ionising radiation and sound. By taking a broad view over the whole field it encourages comparisons, but also addresses questions of risk and benefit to society from a fundamental viewpoint. This textbook has developed from a course given to third year students at Oxford and is written so that it can be used coherently as a basis for shortened courses by omitting a number of chapters.



Quantum Field Theory I: Basics in Mathematics and Physics

Author : Eberhard Zeidler

Publisher : Springer Science & Business Media

Page : 1060 pages

File Size : 43,74 MB

Release : 2007-04-18

Category : Science

ISBN : 354034764X

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Book Description

This is the first volume of a modern introduction to quantum field theory which addresses both mathematicians and physicists, at levels ranging from advanced undergraduate students to professional scientists. The book bridges the acknowledged gap between the different languages used by mathematicians and physicists. For students of mathematics the author shows that detailed knowledge of the physical background helps to motivate the mathematical subjects and to discover interesting interrelationships between quite different mathematical topics. For students of physics, fairly advanced mathematics is presented, which goes beyond the usual curriculum in physics.



Modelling Proteasome Dynamics in a Bayesian Framework

Author : Sabine Stübler

Publisher : Springer

Page : 108 pages

File Size : 48,51 MB

Release : 2017-11-30

Category : Medical

ISBN : 3658201673

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Book Description

Sabine Stübler compares different proteasome isoforms and subtypes in terms of their transport and active site-related parameters applying an existing computational model. In a second step, the author extends this model to be able to describe the influence of proteasome inhibitors in in vitro experiments. The computational model, which describes the hydrolysis of short fluorogenic peptides by the 20S proteasome, is calibrated to experimental data from different proteasome isoforms using an approximate Bayesian computation approach. The dynamics of proteasome inhibitors are included into the model in order to demonstrate how to modulate the inhibitor’s transport parameters for strong or isoform-specific inhibition.



Self-Organization in Continuous Adaptive Networks

Author : Anne-Ly Do

Publisher : CRC Press

Page : 110 pages

File Size : 10,19 MB

Release : 2022-09-01

Category : Computers

ISBN : 1000794393

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Book Description

In the last years, adaptive networks have been discovered simultaneously in different fields as a universal framework for the study of self-organization phenomena. Understanding the mechanisms behind these phenomena is hoped to bring forward not only empirical disciplines such as biology, sociology, ecology, and economy, but also engineering disciplines seeking to employ controlled emergence in future technologies. This volume presents new analytical approaches, which combine tools from dynamical systems theory and statistical physics with tools from graph theory to address the principles behind adaptive self-organization. It is the first class of approaches that is applicable to continuous networks. The volume discusses the mechanisms behind three emergent phenomena that are prominently discussed in the context of biological and social sciences:• synchronization,• spontaneous diversification, and• self-organized criticality.Self-organization in continuous adaptive networks contains extended research papers. It can serve as both, a review of recent results on adaptive self-organization as well as a tutorial of new analytical methodsSelf-organization in continuous adaptive networks is ideal for academic staff and master/research students in complexity and network sciences, in engineering, physics and maths.