Oxford Users Guide To Mathematics
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Oxford Users Guide To Mathematics
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Author : Eberhard Zeidler
language : en
Publisher: Oxford University Press, USA
Release Date : 2004-08-19
Oxford Users Guide To Mathematics written by Eberhard Zeidler and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-08-19 with Business & Economics categories.
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.
Handbook Of Mathematical Formulas And Integrals
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Author : Alan Jeffrey
language : en
Publisher: Elsevier
Release Date : 2008-01-18
Handbook Of Mathematical Formulas And Integrals written by Alan Jeffrey and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-18 with Mathematics categories.
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
Course In Analysis A Volume I Introductory Calculus Analysis Of Functions Of One Real Variable
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Author : Niels Jacob
language : en
Publisher: World Scientific Publishing Company
Release Date : 2015-08-18
Course In Analysis A Volume I Introductory Calculus Analysis Of Functions Of One Real Variable written by Niels Jacob and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-18 with Mathematics categories.
Part 1 begins with an overview of properties of the real numbers and starts to introduce the notions of set theory. The absolute value and in particular inequalities are considered in great detail before functions and their basic properties are handled. From this the authors move to differential and integral calculus. Many examples are discussed. Proofs not depending on a deeper understanding of the completeness of the real numbers are provided. As a typical calculus module, this part is thought as an interface from school to university analysis. Part 2 returns to the structure of the real numbers, most of all to the problem of their completeness which is discussed in great depth. Once the completeness of the real line is settled the authors revisit the main results of Part 1 and provide complete proofs. Moreover they develop differential and integral calculus on a rigorous basis much further by discussing uniform convergence and the interchanging of limits, infinite series (including Taylor series) and infinite products, improper integrals and the gamma function. In addition they discussed in more detail as usual monotone and convex functions. Finally, the authors supply a number of Appendices, among them Appendices on basic mathematical logic, more on set theory, the Peano axioms and mathematical induction, and on further discussions of the completeness of the real numbers. Remarkably, Volume I contains ca. 360 problems with complete, detailed solutions.
Quantum Field Theory I Basics In Mathematics And Physics
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Author : Eberhard Zeidler
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-04-18
Quantum Field Theory I Basics In Mathematics And Physics written by Eberhard Zeidler and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-04-18 with Science categories.
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.
The Turn Of Moore S Law From Space To Time
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Author : Liming Xiu
language : en
Publisher: Springer Nature
Release Date : 2022-05-24
The Turn Of Moore S Law From Space To Time written by Liming Xiu and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-24 with Technology & Engineering categories.
This book states that a space-induced crisis is recognized as the cause of trouble that Moore’s Law is currently facing. The contemporary practice of this empirical law can be considered as happening within a space-dominant paradigm. An alternative of exploiting potential in the dimension of time is identified as an emerging paradigm in microelectronics. The new practice is termed a time-oriented paradigm. It is justified as the turn of Moore’s Law from space to time. The resultant Time-Moore strategy is envisioned as the next-generation enabler for continuing Moore’s Law’s pursuit of everhigher information processing power and efficiency. It also serves as the perpetuation of the spirit that Moore’s law is nothing but a collective storied history of innovations. In the first part of this book, by following Thomas Kuhn’s seminal work around the concepts of paradigm and scientific revolution, the argument for the Time-Moore strategy (Time-Moore: to use time more) and the paradigm shift from space to time is carried out heavily through philosophical persuasion rather than technical proof due to the difficult challenge of change-of-mindset. The second part of the book provides solid technical materials for supporting this transition from the old paradigm to the new one. In short, the goal of this book is to reevaluate the contemporary practice of microelectronics, identify the cause of the current crisis, advocate a change-of-mindset to circumvent the crisis, and ultimately point out a new route for advancing. After achieving so many unprecedented accomplishments through several decades of relentless endeavor, it’s time for the big ship of Moore’s Law (i.e., the art of microelectronic system design) to make a turn.
Krylov Subspace Methods
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Author : Jörg Liesen
language : en
Publisher: Numerical Mathematics and Scie
Release Date : 2013
Krylov Subspace Methods written by Jörg Liesen and has been published by Numerical Mathematics and Scie this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Mathematics categories.
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.
The Concept Of Stability In Numerical Mathematics
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Author : Wolfgang Hackbusch
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-02-06
The Concept Of Stability In Numerical Mathematics written by Wolfgang Hackbusch and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-06 with Mathematics categories.
In this book, the author compares the meaning of stability in different subfields of numerical mathematics. Concept of Stability in numerical mathematics opens by examining the stability of finite algorithms. A more precise definition of stability holds for quadrature and interpolation methods, which the following chapters focus on. The discussion then progresses to the numerical treatment of ordinary differential equations (ODEs). While one-step methods for ODEs are always stable, this is not the case for hyperbolic or parabolic differential equations, which are investigated next. The final chapters discuss stability for discretisations of elliptic differential equations and integral equations. In comparison among the subfields we discuss the practical importance of stability and the possible conflict between higher consistency order and stability.
Before Big Bang
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Author : Augustin Ostace
language : en
Publisher: Alpha & Omega Sapiens - Uppublishing Being / Augustin Ostace
Release Date : 2017-05-16
Before Big Bang written by Augustin Ostace and has been published by Alpha & Omega Sapiens - Uppublishing Being / Augustin Ostace this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-16 with Philosophy categories.
Dedicated or Gewidmet to the Pre-Universe itself, Vor-Universum, just before the Big Bang, gerade bevor der Urknall, as the Greatest, der Biggeste mystery of all mysteries… Of all the Greatest and the Smallest of all the Smallest within, of the all Visible and of the all Invisible, of all kind of Spatiality and of Temporality of all sort of Causality, and of all forms of Matter and of possible Anti-Matter, both for human in detectable and non-detectable ways, of all forms of Energy, perceivable and non-perceivable for human, of Gravitation and possible of Anti – Gravitation, and of Number Arithmos as perhaps the greatest truth of the whole Universe, and of all Physical and Chemical events and processes and of Metaphysical phenomena herein! Theoretical Pre-Cosmologist
American Paleontologist
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Author :
language : en
Publisher:
Release Date : 2005
American Paleontologist written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Paleontology categories.
Hierarchical Matrices Algorithms And Analysis
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Author : Wolfgang Hackbusch
language : en
Publisher: Springer
Release Date : 2015-12-21
Hierarchical Matrices Algorithms And Analysis written by Wolfgang Hackbusch and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-21 with Mathematics categories.
This self-contained monograph presents matrix algorithms and their analysis. The new technique enables not only the solution of linear systems but also the approximation of matrix functions, e.g., the matrix exponential. Other applications include the solution of matrix equations, e.g., the Lyapunov or Riccati equation. The required mathematical background can be found in the appendix. The numerical treatment of fully populated large-scale matrices is usually rather costly. However, the technique of hierarchical matrices makes it possible to store matrices and to perform matrix operations approximately with almost linear cost and a controllable degree of approximation error. For important classes of matrices, the computational cost increases only logarithmically with the approximation error. The operations provided include the matrix inversion and LU decomposition. Since large-scale linear algebra problems are standard in scientific computing, the subject of hierarchical matrices is of interest to scientists in computational mathematics, physics, chemistry and engineering.