Download or read book Symmetric Properties of Real Functions written by Brian thomson and published by CRC Press. This book was released on 1994-06-10 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work offers detailed coverage of every important aspect of symmetric structures in function of a single real variable, providing a historical perspective, proofs and useful methods for addressing problems. It provides assistance for real analysis problems involving symmetric derivatives, symmetric continuity and local symmetric structure of sets or functions.
Download or read book Symmetric Properties of Real Functions written by Brian thomson and published by CRC Press. This book was released on 2020-08-25 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work offers detailed coverage of every important aspect of symmetric structures in function of a single real variable, providing a historical perspective, proofs and useful methods for addressing problems. It provides assistance for real analysis problems involving symmetric derivatives, symmetric continuity and local symmetric structure of sets or functions.
Download or read book Symmetric Properties of Sets and Real Functions microform written by Hongjian Shi and published by National Library of Canada = Bibliothèque nationale du Canada. This book was released on 1995 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Symmetric Functions and Combinatorial Operators on Polynomials written by Alain Lascoux and published by American Mathematical Soc.. This book was released on 2003 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of symmetric functions is an old topic in mathematics, which is used as an algebraic tool in many classical fields. With $\lambda$-rings, one can regard symmetric functions as operators on polynomials and reduce the theory to just a handful of fundamental formulas. One of the main goals of the book is to describe the technique of $\lambda$-rings. The main applications of this technique to the theory of symmetric functions are related to the Euclid algorithm and its occurrence in division, continued fractions, Pade approximants, and orthogonal polynomials. Putting the emphasis on the symmetric group instead of symmetric functions, one can extend the theory to non-symmetric polynomials, with Schur functions being replaced by Schubert polynomials. In two independent chapters, the author describes the main properties of these polynomials, following either the approach of Newton and interpolation methods, or the method of Cauchy and the diagonalization of a kernel generalizing the resultant. The last chapter sketches a non-commutative version of symmetric functions, with the help of Young tableaux and the plactic monoid. The book also contains numerous exercises clarifying and extending many points of the main text.
Download or read book Exponential Stability of Stochastic Differential Equations written by Xuerong Mao and published by CRC Press. This book was released on 1994-05-02 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work presents a systematic study of current developments in stochastic differential delay equations driven by nonlinear integrators, detailing various exponential stabilities for stochastic differential equations and large-scale systems. It illustrates the practical use of stochastic stabilization, stochastic destabilization, stochastic flows, and stochastic oscillators in numerous real-world situations.
Download or read book Counting with Symmetric Functions written by Jeffrey Remmel and published by Birkhäuser. This book was released on 2015-11-28 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a self-contained introduction to symmetric functions and their use in enumerative combinatorics. It is the first book to explore many of the methods and results that the authors present. Numerous exercises are included throughout, along with full solutions, to illustrate concepts and also highlight many interesting mathematical ideas. The text begins by introducing fundamental combinatorial objects such as permutations and integer partitions, as well as generating functions. Symmetric functions are considered in the next chapter, with a unique emphasis on the combinatorics of the transition matrices between bases of symmetric functions. Chapter 3 uses this introductory material to describe how to find an assortment of generating functions for permutation statistics, and then these techniques are extended to find generating functions for a variety of objects in Chapter 4. The next two chapters present the Robinson-Schensted-Knuth algorithm and a method for proving Pólya’s enumeration theorem using symmetric functions. Chapters 7 and 8 are more specialized than the preceding ones, covering consecutive pattern matches in permutations, words, cycles, and alternating permutations and introducing the reciprocity method as a way to define ring homomorphisms with desirable properties. Counting with Symmetric Functions will appeal to graduate students and researchers in mathematics or related subjects who are interested in counting methods, generating functions, or symmetric functions. The unique approach taken and results and exercises explored by the authors make it an important contribution to the mathematical literature.
Download or read book Schur Convex Functions and Inequalities written by Huan-nan Shi and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-06-17 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume work introduces the theory and applications of Schur-convex functions. The first volume introduces concepts and properties of Schur-convex functions, including Schur-geometrically convex functions, Schur-harmonically convex functions, Schur-power convex functions, etc. and also discusses applications of Schur-convex functions in symmetric function inequalities.
Download or read book Higher Order Derivatives written by Satya Mukhopadhyay and published by CRC Press. This book was released on 2012-01-25 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of higher order derivatives is useful in many branches of mathematics and its applications. As they are useful in many places, nth order derivatives are often defined directly. Higher Order Derivatives discusses these derivatives, their uses, and the relations among them. It covers higher order generalized derivatives, including the Peano, d.l.V.P., and Abel derivatives; along with the symmetric and unsymmetric Riemann, Cesàro, Borel, LP-, and Laplace derivatives. Although much work has been done on the Peano and de la Vallée Poussin derivatives, there is a large amount of work to be done on the other higher order derivatives as their properties remain often virtually unexplored. This book introduces newcomers interested in the field of higher order derivatives to the present state of knowledge. Basic advanced real analysis is the only required background, and, although the special Denjoy integral has been used, knowledge of the Lebesgue integral should suffice.
Download or read book Elementary Real Analysis written by Brian S. Thomson and published by ClassicalRealAnalysis.com. This book was released on 2008 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second edition of the title originally published by Prentice Hall (Pearson) in 2001. Here is the reference information for the first edition:[TBB] Elementary Real Analysis, Brian S. Thomson, Judith B. Bruckner,Andrew M. Bruckner. Prentice-Hall, 2001, xv 735 pp. [ISBN 0-13-019075-61]The present title contains Chapters 1-8. The full version containing all of the chapters is also available as a trade paperback. A hypertexted PDF file of the entire text is available free for download on www.classicalrealanalysis.com.Chapter 1. Real NumbersChapter 2. SequencesChapter 3. Infinite sumsChapter 4. Sets of real numbersChapter 5. Continuous functionsChapter 6. More on continuous functions and setsChapter 7. DifferentiationChapter 8. The integral
Download or read book Mean Value Theorems and Functional Equations written by Prasanna Sahoo and published by World Scientific. This book was released on 1998 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book takes a comprehensive look at mean value theorems and their connection with functional equations. Besides the traditional Lagrange and Cauchy mean value theorems, it covers the Pompeiu and the Flett mean value theorems as well as extension to higher dimensions and the complex plane. Furthermore the reader is introduced to the field of functional equations through equations that arise in connection with the many mean value theorems discussed.
Download or read book A Primer on Fourier Analysis for the Geosciences written by Robin Crockett and published by Cambridge University Press. This book was released on 2019-02-14 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: Time-series analysis is used to identify and quantify periodic features in datasets and has many applications across the geosciences, from analysing weather data, to solid-Earth geophysical modelling. This intuitive introduction provides a practical 'how-to' guide to basic Fourier theory, with a particular focus on Earth system applications. The book starts with a discussion of statistical correlation, before introducing Fourier series and building to the fast Fourier transform (FFT) and related periodogram techniques. The theory is illustrated with numerous worked examples using R datasets, from Milankovitch orbital-forcing cycles to tidal harmonics and exoplanet orbital periods. These examples highlight the key concepts and encourage readers to investigate more advanced time-series techniques. The book concludes with a consideration of statistical effect size and significance. This useful book is ideal for graduate students and researchers in the Earth system sciences who are looking for an accessible introduction to time-series analysis.
Download or read book An Investigation of the Symmetric Properties of Logical Functions written by Robert M. Barr and published by . This book was released on 1960 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Symmetric Functions Schubert Polynomials and Degeneracy Loci written by Laurent Manivel and published by American Mathematical Soc.. This book was released on 2001 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text grew out of an advanced course taught by the author at the Fourier Institute (Grenoble, France). It serves as an introduction to the combinatorics of symmetric functions, more precisely to Schur and Schubert polynomials. Also studied is the geometry of Grassmannians, flag varieties, and especially, their Schubert varieties. This book examines profound connections that unite these two subjects. The book is divided into three chapters. The first is devoted to symmetricfunctions and especially to Schur polynomials. These are polynomials with positive integer coefficients in which each of the monomials correspond to a Young tableau with the property of being ``semistandard''. The second chapter is devoted to Schubert polynomials, which were discovered by A. Lascoux andM.-P. Schutzenberger who deeply probed their combinatorial properties. It is shown, for example, that these polynomials support the subtle connections between problems of enumeration of reduced decompositions of permutations and the Littlewood-Richardson rule, a particularly efficacious version of which may be derived from these connections. The final chapter is geometric. It is devoted to Schubert varieties, subvarieties of Grassmannians, and flag varieties defined by certain incidenceconditions with fixed subspaces. This volume makes accessible a number of results, creating a solid stepping stone for scaling more ambitious heights in the area. The author's intent was to remain elementary: The first two chapters require no prior knowledge, the third chapter uses some rudimentary notionsof topology and algebraic geometry. For this reason, a comprehensive appendix on the topology of algebraic varieties is provided. This book is the English translation of a text previously published in French.
Download or read book Properties of a Complete Table of Symmetric Functions written by Percy Alexander MacMahon and published by . This book was released on 1800 with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Real Analysis Classic Version written by Halsey Royden and published by Pearson Modern Classics for Advanced Mathematics Series. This book was released on 2017-02-13 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is designed for graduate-level courses in real analysis. Real Analysis, 4th Edition, covers the basic material that every graduate student should know in the classical theory of functions of a real variable, measure and integration theory, and some of the more important and elementary topics in general topology and normed linear space theory. This text assumes a general background in undergraduate mathematics and familiarity with the material covered in an undergraduate course on the fundamental concepts of analysis.
Download or read book Unitary Symmetry and Elementary Particles written by D. B. Lichtenberg and published by Academic Press. This book was released on 2013-10-22 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unitary Symmetry and Elementary Particles discusses the role of symmetry in elementary particle physics. The book reviews the theory of abstract groups and group representations including Eigenstates, cosets, conjugate classes, unitary vector spaces, unitary representations, multiplets, and conservation laws. The text also explains the concept of Young Diagrams or Young Tableaux to prove the basis functions of the unitary irreducible representations of the unitary group SU(n). The book defines Lie groups, Lie algebras, and gives some examples of these groups. The basis vectors of irreducible unitary representations of Lie groups constitute a multiplet, which according to Racah (1965) and Behrends et al. (1962) can have properties of weights. The text also explains the properties of Clebsch-Gordan coefficients and the Wigner-Eckart theorem. SU(3) multiplets have members classified as hadrons (strongly interacting particles), of which one characteristic show that the mass differences of these members have some regular properties. The Gell-Mann and Ne-eman postulate also explains another characteristic peculiar to known multiplets. The book describes the quark model, as well as, the uses of the variants of the quark model. This collection is suitable for researchers and scientists in the field of applied mathematics, nuclear physics, and quantum mechanics.
Download or read book Advanced Quantum Mechanics written by Franz Schwabl and published by Springer Science & Business Media. This book was released on 2008-08-01 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: Characteristic of Schwabl’s work, this volume features a compelling mathematical presentation in which all intermediate steps are derived and where numerous examples for application and exercises help the reader to gain a thorough working knowledge of the subject. The treatment of relativistic wave equations and their symmetries and the fundamentals of quantum field theory lay the foundations for advanced studies in solid-state physics, nuclear and elementary particle physics. New material has been added to this third edition.
