Polynomials and Polynomial Inequalities

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Publisher : Springer Science & Business Media
ISBN 13 : 1461207932
Total Pages : 491 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Polynomials and Polynomial Inequalities by : Peter Borwein

Download or read book Polynomials and Polynomial Inequalities written by Peter Borwein and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: After an introduction to the geometry of polynomials and a discussion of refinements of the Fundamental Theorem of Algebra, the book turns to a consideration of various special polynomials. Chebyshev and Descartes systems are then introduced, and Müntz systems and rational systems are examined in detail. Subsequent chapters discuss denseness questions and the inequalities satisfied by polynomials and rational functions. Appendices on algorithms and computational concerns, on the interpolation theorem, and on orthogonality and irrationality round off the text. The book is self-contained and assumes at most a senior-undergraduate familiarity with real and complex analysis.

Finite Fields: Theory and Computation

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Publisher : Springer Science & Business Media
ISBN 13 : 940159239X
Total Pages : 532 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Finite Fields: Theory and Computation by : Igor Shparlinski

Download or read book Finite Fields: Theory and Computation written by Igor Shparlinski and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is mainly devoted to some computational and algorithmic problems in finite fields such as, for example, polynomial factorization, finding irreducible and primitive polynomials, the distribution of these primitive polynomials and of primitive points on elliptic curves, constructing bases of various types and new applications of finite fields to other areas of mathematics. For completeness we in clude two special chapters on some recent advances and applications of the theory of congruences (optimal coefficients, congruential pseudo-random number gener ators, modular arithmetic, etc.) and computational number theory (primality testing, factoring integers, computation in algebraic number theory, etc.). The problems considered here have many applications in Computer Science, Cod ing Theory, Cryptography, Numerical Methods, and so on. There are a few books devoted to more general questions, but the results contained in this book have not till now been collected under one cover. In the present work the author has attempted to point out new links among different areas of the theory of finite fields. It contains many very important results which previously could be found only in widely scattered and hardly available conference proceedings and journals. In particular, we extensively review results which originally appeared only in Russian, and are not well known to mathematicians outside the former USSR.

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 984 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2007 with total page 984 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Theory of Fourier Series and Integrals

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Publisher :
ISBN 13 :
Total Pages : 208 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Theory of Fourier Series and Integrals by : Peter L. Walker

Download or read book The Theory of Fourier Series and Integrals written by Peter L. Walker and published by . This book was released on 1986-06-03 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, the author has drawn on his considerable experience of teaching analysis to give a concise explanation of the theory of Fourier series and integrals.

Index to Mathematical Problems, 1975-1979

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Publisher : MathPro Press
ISBN 13 : 9780962640124
Total Pages : 548 pages
Book Rating : 4.6/5 (41 download)

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Book Synopsis Index to Mathematical Problems, 1975-1979 by : Stanley Rabinowitz

Download or read book Index to Mathematical Problems, 1975-1979 written by Stanley Rabinowitz and published by MathPro Press. This book was released on 1999 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Solving Problems in Scientific Computing Using Maple and MATLAB®

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Publisher : Springer Science & Business Media
ISBN 13 : 3642188737
Total Pages : 479 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Solving Problems in Scientific Computing Using Maple and MATLAB® by : Walter Gander

Download or read book Solving Problems in Scientific Computing Using Maple and MATLAB® written by Walter Gander and published by Springer Science & Business Media. This book was released on 2011-06-27 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teaches problem-solving using two of the most important mathematical software packages: Maple and MATLAB. This new edition contains five completely new chapters covering new developments.

Encyclopaedia of Mathematics

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Publisher : Springer Science & Business Media
ISBN 13 : 9400903650
Total Pages : 743 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Encyclopaedia of Mathematics by : Michiel Hazewinkel

Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 743 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.

Dissertation Abstracts International

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Publisher :
ISBN 13 :
Total Pages : 812 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Dissertation Abstracts International by :

Download or read book Dissertation Abstracts International written by and published by . This book was released on 2003 with total page 812 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 0817644148
Total Pages : 399 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Mathematical Analysis by : Mariano Giaquinta

Download or read book Mathematical Analysis written by Mariano Giaquinta and published by Springer Science & Business Media. This book was released on 2012-08-31 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: * Embraces a broad range of topics in analysis requiring only a sound knowledge of calculus and the functions of one variable. * Filled with beautiful illustrations, examples, exercises at the end of each chapter, and a comprehensive index.

Orthogonal Polynomials

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Publisher : American Mathematical Soc.
ISBN 13 : 0821810235
Total Pages : 448 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Orthogonal Polynomials by : Gabor Szegš

Download or read book Orthogonal Polynomials written by Gabor Szegš and published by American Mathematical Soc.. This book was released on 1939-12-31 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: The general theory of orthogonal polynomials was developed in the late 19th century from a study of continued fractions by P. L. Chebyshev, even though special cases were introduced earlier by Legendre, Hermite, Jacobi, Laguerre, and Chebyshev himself. It was further developed by A. A. Markov, T. J. Stieltjes, and many other mathematicians. The book by Szego, originally published in 1939, is the first monograph devoted to the theory of orthogonal polynomials and its applications in many areas, including analysis, differential equations, probability and mathematical physics. Even after all the years that have passed since the book first appeared, and with many other books on the subject published since then, this classic monograph by Szego remains an indispensable resource both as a textbook and as a reference book. It can be recommended to anyone who wants to be acquainted with this central topic of mathematical analysis.

Algebra and Trigonometry

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Publisher : Elsevier
ISBN 13 : 1483271048
Total Pages : 442 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Algebra and Trigonometry by : Harley Flanders

Download or read book Algebra and Trigonometry written by Harley Flanders and published by Elsevier. This book was released on 2014-05-10 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebra and Trigonometry presents the essentials of algebra and trigonometry with some applications. The emphasis is on practical skills, problem solving, and computational techniques. Topics covered range from equations and inequalities to functions and graphs, polynomial and rational functions, and exponentials and logarithms. Trigonometric functions and complex numbers are also considered. Comprised of 11 chapters, this book begins with a discussion on the fundamentals of algebra, each topic explained, illustrated, and accompanied by an ample set of exercises. The proper use of algebraic notation and practical manipulative skills such as factoring, using exponents and radicals, and simplifying rational expressions is highlighted, along with the most common mistakes in algebra. The reader is then introduced to the solution of linear, quadratic, and other types of equations and systems of equations, as well as the solution of inequalities. Subsequent chapters deal with the most basic functions: polynomial, rational, exponential, logarithm, and trigonometric. Trigonometry and the inverse trigonometric functions and identities are also presented. The book concludes with a review of progressions, permutations, combinations, and the binomial theorem. This monograph will be a useful resource for undergraduate students of mathematics and algebra.

Computation and Simulation for Finance

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Publisher : Springer Nature
ISBN 13 : 3031605756
Total Pages : 336 pages
Book Rating : 4.0/5 (316 download)

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Book Synopsis Computation and Simulation for Finance by : Cónall Kelly

Download or read book Computation and Simulation for Finance written by Cónall Kelly and published by Springer Nature. This book was released on 2024 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Zusammenfassung: This book offers an up-to-date introductory treatment of computational techniques applied to problems in finance, placing issues such as numerical stability, convergence and error analysis in both deterministic and stochastic settings at its core. The first part provides a welcoming but nonetheless rigorous introduction to the fundamental theory of option pricing, including European, American, and exotic options along with their hedge parameters, and combines a clear treatment of the mathematical framework with practical worked examples in Python. The second part explores the main computational methods for valuing options within the Black-Scholes framework: lattice, Monte Carlo, and finite difference methods. The third and final part covers advanced topics for the simulation of financial processes beyond the standard Black-Scholes setting. Techniques for the analysis and simulation of multidimensional financial data, including copulas, are covered and will be of interest to those studying machine learning for finance. There is also an in-depth treatment of exact and approximate sampling methods for stochastic differential equation models of interest rates and volatilities. Written for advanced undergraduate and masters-level courses, the book assumes some exposure to core mathematical topics such as linear algebra, ordinary differential equations, multivariate calculus, probability, and statistics at an undergraduate level. While familiarity with Python is not required, readers should be comfortable with basic programming constructs such as variables, loops, and conditional statements

Quantitative Understanding of Biosystems

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Publisher : CRC Press
ISBN 13 : 135180118X
Total Pages : 608 pages
Book Rating : 4.3/5 (518 download)

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Book Synopsis Quantitative Understanding of Biosystems by : Thomas M. Nordlund

Download or read book Quantitative Understanding of Biosystems written by Thomas M. Nordlund and published by CRC Press. This book was released on 2019-04-16 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the prior edition "The author has done a magnificent job... this book is highly recommended for introducing biophysics to the motivated and curious undergraduate student." ―Contemporary Physics "a terrific text ... will enable students to understand the significance of biological parameters through quantitative examples―a modern way of learning biophysics." ―American Journal of Physics "A superb pedagogical textbook... Full-color illustrations aid students in their understanding" ―Midwest Book Review This new edition provides a complete update to the most accessible yet thorough introduction to the physical and quantitative aspects of biological systems and processes involving macromolecules, subcellular structures, and whole cells. It includes two brand new chapters covering experimental techniques, especially atomic force microscopy, complementing the updated coverage of mathematical and computational tools. The authors have also incorporated additions to the multimedia component of video clips and animations, as well as interactive diagrams and graphs. Key Features: Illustrates biological examples with estimates and calculations of biophysical parameters. Features two brand-new chapters on experimental methods, a general overview and focused introduction to atomic force microscopy. Includes new coverage of important topics such as measures of DNA twist, images of nanoparticle assembly, and novel optical and electron nanoscopy. Provides a guide to investigating current expert biophysical research. Enhanced self-study problems and an updated glossary of terms.

Iterative Learning Control

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Publisher : Springer
ISBN 13 : 1447167724
Total Pages : 473 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Iterative Learning Control by : David H. Owens

Download or read book Iterative Learning Control written by David H. Owens and published by Springer. This book was released on 2015-10-31 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops a coherent and quite general theoretical approach to algorithm design for iterative learning control based on the use of operator representations and quadratic optimization concepts including the related ideas of inverse model control and gradient-based design. Using detailed examples taken from linear, discrete and continuous-time systems, the author gives the reader access to theories based on either signal or parameter optimization. Although the two approaches are shown to be related in a formal mathematical sense, the text presents them separately as their relevant algorithm design issues are distinct and give rise to different performance capabilities. Together with algorithm design, the text demonstrates the underlying robustness of the paradigm and also includes new control laws that are capable of incorporating input and output constraints, enable the algorithm to reconfigure systematically in order to meet the requirements of different reference and auxiliary signals and also to support new properties such as spectral annihilation. Iterative Learning Control will interest academics and graduate students working in control who will find it a useful reference to the current status of a powerful and increasingly popular method of control. The depth of background theory and links to practical systems will be of use to engineers responsible for precision repetitive processes.

Rational Transmitting Boundaries for Time-Domain Analysis of Dam-Reservoir Interaction

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Publisher : Birkhäuser
ISBN 13 : 303487751X
Total Pages : 273 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Rational Transmitting Boundaries for Time-Domain Analysis of Dam-Reservoir Interaction by : Benedikt Weber

Download or read book Rational Transmitting Boundaries for Time-Domain Analysis of Dam-Reservoir Interaction written by Benedikt Weber and published by Birkhäuser. This book was released on 2013-06-29 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most existing arch dams have been designed for seismic loading by static methods involving the use of seismic coefficients. Although there are no known examples of arch dams which have been seriously damaged by earthquakes, the need for more realistic seismic analyses is now well recognized, not only for new dams but especially in the context of the safety evaluation of existing dams. Fortunately, with the finite element method, engineers have a powerful tool for modeling the complex geometry and the nonlinear material behavior of a dam. However, there is still a major complication in the analysis procedure, namely the interaction of the dam with the reservoir and with the foundation during an earthquake. Interaction is a wave propagation problem involving transmitting boundaries. The State of the Art in engineering practice is to neglect wave propagation by modeling the water as incompressible and the foundation as massless. More advanced analysis methods using compressible water and foundation with mass have been available for some time. However, these methods are restricted to linear models, because they work in the frequency domain. On the other hand, there are also advanced nonlinear models for dams, but they can only be used in the time domain, usually with simple transmitting boundaries. In this report, which is based on an a doctoral thesis, rigorous transmitting boundaries in the time domain are developed which permit combining compressible water with n- linear dam behavior. The new numerical model is based on a systems-theory approach.

Young, Precalculus, Third Edition

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Publisher : John Wiley & Sons
ISBN 13 : 1119582946
Total Pages : 995 pages
Book Rating : 4.1/5 (195 download)

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Book Synopsis Young, Precalculus, Third Edition by :

Download or read book Young, Precalculus, Third Edition written by and published by John Wiley & Sons. This book was released on 2021-06-21 with total page 995 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction To The Theory Of Weighted Polynomial Approximation

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Author :
Publisher : World Scientific
ISBN 13 : 9814518050
Total Pages : 398 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Introduction To The Theory Of Weighted Polynomial Approximation by : H N Mhaskar

Download or read book Introduction To The Theory Of Weighted Polynomial Approximation written by H N Mhaskar and published by World Scientific. This book was released on 1997-01-04 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we have attempted to explain a variety of different techniques and ideas which have contributed to this subject in its course of successive refinements during the last 25 years. There are other books and surveys reviewing the ideas from the perspective of either potential theory or orthogonal polynomials. The main thrust of this book is to introduce the subject from an approximation theory point of view. Thus, the main motivation is to study analogues of results from classical trigonometric approximation theory, introducing other ideas as needed. It is not our objective to survey the most recent results, but merely to introduce to the readers the thought processes and ideas as they are developed.This book is intended to be self-contained, although the reader is expected to be familiar with rudimentary real and complex analysis. It will also help to have studied elementary trigonometric approximation theory, and have some exposure to orthogonal polynomials.