Idempotent Matrices Over Complex Group Algebras

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Idempotent Matrices over Complex Group Algebras

Author : Ioannis Emmanouil
Publisher : Springer Science & Business Media
ISBN 13 : 3540279911
Total Pages : 288 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Idempotent Matrices over Complex Group Algebras by : Ioannis Emmanouil

Download or read book Idempotent Matrices over Complex Group Algebras written by Ioannis Emmanouil and published by Springer Science & Business Media. This book was released on 2005-12-19 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of idempotent matrices with entries in complex group algebras has recently experienced a revival, in view of its close relationship with deep geometric problems and conjectures. The relevant questions studied in this book for general groups are motivated by specific examples. A variety of techniques is employed from commutative algebra, homological algebra and functional analysis.The book can serve as an introduction to this lively research area. The pace is suitable for independent study and the level of the presentation not very demanding. The exercises at the end of each chapter form an essential part of the book.

Complex Analysis

Author : Eberhard Freitag
Publisher : Springer Science & Business Media
ISBN 13 : 3540308237
Total Pages : 553 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Complex Analysis by : Eberhard Freitag

Download or read book Complex Analysis written by Eberhard Freitag and published by Springer Science & Business Media. This book was released on 2006-01-17 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: All needed notions are developed within the book: with the exception of fundamentals which are presented in introductory lectures, no other knowledge is assumed Provides a more in-depth introduction to the subject than other existing books in this area Over 400 exercises including hints for solutions are included

Lie Groups

Author : Claudio Procesi
Publisher : Springer Science & Business Media
ISBN 13 : 0387289291
Total Pages : 616 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Lie Groups by : Claudio Procesi

Download or read book Lie Groups written by Claudio Procesi and published by Springer Science & Business Media. This book was released on 2007-10-17 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lie groups has been an increasing area of focus and rich research since the middle of the 20th century. In Lie Groups: An Approach through Invariants and Representations, the author's masterful approach gives the reader a comprehensive treatment of the classical Lie groups along with an extensive introduction to a wide range of topics associated with Lie groups: symmetric functions, theory of algebraic forms, Lie algebras, tensor algebra and symmetry, semisimple Lie algebras, algebraic groups, group representations, invariants, Hilbert theory, and binary forms with fields ranging from pure algebra to functional analysis. By covering sufficient background material, the book is made accessible to a reader with a relatively modest mathematical background. Historical information, examples, exercises are all woven into the text. This unique exposition is suitable for a broad audience, including advanced undergraduates, graduates, mathematicians in a variety of areas from pure algebra to functional analysis and mathematical physics.

Algebra

Author : Falko Lorenz
Publisher : Springer Science & Business Media
ISBN 13 : 0387724877
Total Pages : 343 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Algebra by : Falko Lorenz

Download or read book Algebra written by Falko Lorenz and published by Springer Science & Business Media. This book was released on 2007-12-27 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is Volume II of a two-volume introductory text in classical algebra. The text moves methodically with numerous examples and details so that readers with some basic knowledge of algebra can read it without difficulty. It is recommended either as a textbook for some particular algebraic topic or as a reference book for consultations in a selected fundamental branch of algebra. The book contains a wealth of material. Amongst the topics covered in Volume are the theory of ordered fields and Nullstellen Theorems. Known researcher Lorenz also includes the fundamentals of the theory of quadratic forms, of valuations, local fields and modules. What’s more, the book contains some lesser known or nontraditional results – for instance, Tsen's results on the solubility of systems of polynomial equations with a sufficiently large number of indeterminates.

A Course on Mathematical Logic

Author : Shashi Mohan Srivastava
Publisher : Springer Science & Business Media
ISBN 13 : 0387762779
Total Pages : 153 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis A Course on Mathematical Logic by : Shashi Mohan Srivastava

Download or read book A Course on Mathematical Logic written by Shashi Mohan Srivastava and published by Springer Science & Business Media. This book was released on 2008-02-15 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a distinctive, well-motivated introduction to mathematical logic. It starts with the definition of first order languages, proceeds through propositional logic, completeness theorems, and finally the two Incompleteness Theorems of Godel.

Non-Life Insurance Mathematics

Author : Thomas Mikosch
Publisher : Springer Science & Business Media
ISBN 13 : 3540448896
Total Pages : 242 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Non-Life Insurance Mathematics by : Thomas Mikosch

Download or read book Non-Life Insurance Mathematics written by Thomas Mikosch and published by Springer Science & Business Media. This book was released on 2006-11-21 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Offers a mathematical introduction to non-life insurance and, at the same time, to a multitude of applied stochastic processes. It gives detailed discussions of the fundamental models for claim sizes, claim arrivals, the total claim amount, and their probabilistic properties....The reader gets to know how the underlying probabilistic structures allow one to determine premiums in a portfolio or in an individual policy." --Zentralblatt für Didaktik der Mathematik

Frontiers of Numerical Analysis

Author : James Blowey
Publisher : Springer Science & Business Media
ISBN 13 : 3540288848
Total Pages : 273 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Frontiers of Numerical Analysis by : James Blowey

Download or read book Frontiers of Numerical Analysis written by James Blowey and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains lecture notes on four topics at the forefront of research in computational mathematics. This book presents a self-contained guide to a research area, an extensive bibliography, and proofs of the key results. It is suitable for professional mathematicians who require an accurate account of research in areas parallel to their own.

A Course in Credibility Theory and its Applications

Author : Hans Bühlmann
Publisher : Springer Science & Business Media
ISBN 13 : 354029273X
Total Pages : 346 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis A Course in Credibility Theory and its Applications by : Hans Bühlmann

Download or read book A Course in Credibility Theory and its Applications written by Hans Bühlmann and published by Springer Science & Business Media. This book was released on 2005-11-13 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is ideal for practicing experts in particular actuaries in the field of property-casualty insurance, life insurance, reinsurance and insurance supervision, as well as teachers and students. It provides an exploration of Credibility Theory, covering most aspects of this topic from the simplest case to the most detailed dynamic model. The book closely examines the tasks an actuary encounters daily: estimation of loss ratios, claim frequencies and claim sizes.

Compact Riemann Surfaces

Author : Jürgen Jost
Publisher : Springer Science & Business Media
ISBN 13 : 3540330674
Total Pages : 293 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Compact Riemann Surfaces by : Jürgen Jost

Download or read book Compact Riemann Surfaces written by Jürgen Jost and published by Springer Science & Business Media. This book was released on 2006-12-13 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is novel in its broad perspective on Riemann surfaces: the text systematically explores the connection with other fields of mathematics. The book can serve as an introduction to contemporary mathematics as a whole, as it develops background material from algebraic topology, differential geometry, the calculus of variations, elliptic PDE, and algebraic geometry. The book is unique among textbooks on Riemann surfaces in its inclusion of an introduction to Teichmüller theory. For this new edition, the author has expanded and rewritten several sections to include additional material and to improve the presentation.

Using the Borsuk-Ulam Theorem

Author : Jiri Matousek
Publisher : Springer Science & Business Media
ISBN 13 : 3540003622
Total Pages : 221 pages
Book Rating : 4.5/5 (4 download)

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Book Synopsis Using the Borsuk-Ulam Theorem by : Jiri Matousek

Download or read book Using the Borsuk-Ulam Theorem written by Jiri Matousek and published by Springer Science & Business Media. This book was released on 2003-06-04 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The textbook explains elementary but powerful topological methods based on the Borsuk-Ulam theorem and its generalizations. It covers many substantial results, sometimes with proofs simpler than those in the original papers. At the same time, it assumes no prior knowledge of algebraic topology, and all the required topological notions and results are gradually introduced. History, additional results, and references are presented in separate sections."--Résumé de l'éditeur.

Qualitative Theory of Planar Differential Systems

Author : Freddy Dumortier
Publisher : Springer Science & Business Media
ISBN 13 : 3540329021
Total Pages : 309 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Qualitative Theory of Planar Differential Systems by : Freddy Dumortier

Download or read book Qualitative Theory of Planar Differential Systems written by Freddy Dumortier and published by Springer Science & Business Media. This book was released on 2006-10-13 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with systems of polynomial autonomous ordinary differential equations in two real variables. The emphasis is mainly qualitative, although attention is also given to more algebraic aspects as a thorough study of the center/focus problem and recent results on integrability. In the last two chapters the performant software tool P4 is introduced. From the start, differential systems are represented by vector fields enabling, in full strength, a dynamical systems approach. All essential notions, including invariant manifolds, normal forms, desingularization of singularities, index theory and limit cycles, are introduced and the main results are proved for smooth systems with the necessary specifications for analytic and polynomial systems.

Partial Differential Equations 2

Author : Friedrich Sauvigny
Publisher : Springer Science & Business Media
ISBN 13 : 3540344624
Total Pages : 401 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Partial Differential Equations 2 by : Friedrich Sauvigny

Download or read book Partial Differential Equations 2 written by Friedrich Sauvigny and published by Springer Science & Business Media. This book was released on 2006-10-11 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: This encyclopedic work covers the whole area of Partial Differential Equations - of the elliptic, parabolic, and hyperbolic type - in two and several variables. Emphasis is placed on the connection of PDEs and complex variable methods. This second volume addresses Solvability of operator equations in Banach spaces; Linear operators in Hilbert spaces and spectral theory; Schauder's theory of linear elliptic differential equations; Weak solutions of differential equations; Nonlinear partial differential equations and characteristics; Nonlinear elliptic systems with differential-geometric applications. While partial differential equations are solved via integral representations in the preceding volume, this volume uses functional analytic solution methods.

Lectures on Advances in Combinatorics

Author : Rudolf Ahlswede
Publisher : Springer Science & Business Media
ISBN 13 : 3540786023
Total Pages : 324 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Lectures on Advances in Combinatorics by : Rudolf Ahlswede

Download or read book Lectures on Advances in Combinatorics written by Rudolf Ahlswede and published by Springer Science & Business Media. This book was released on 2008-05-17 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: The lectures concentrate on highlights in Combinatorial (ChaptersII and III) and Number Theoretical (ChapterIV) Extremal Theory, in particular on the solution of famous problems which were open for many decades. However, the organization of the lectures in six chapters does neither follow the historic developments nor the connections between ideas in several cases. With the speci?ed auxiliary results in ChapterI on Probability Theory, Graph Theory, etc., all chapters can be read and taught independently of one another. In addition to the 16 lectures organized in 6 chapters of the main part of the book, there is supplementary material for most of them in the Appendix. In parti- lar, there are applications and further exercises, research problems, conjectures, and even research programs. The following books and reports [B97], [ACDKPSWZ00], [A01], and [ABCABDM06], mostly of the authors, are frequently cited in this book, especially in the Appendix, and we therefore mark them by short labels as [B], [N], [E], and [G]. We emphasize that there are also “Exercises” in [B], a “Problem Section” with contributions by several authors on pages 1063–1105 of [G], which are often of a combinatorial nature, and “Problems and Conjectures” on pages 172–173 of [E].

Tools for Computational Finance

Author : Rüdiger U. Seydel
Publisher : Springer Science & Business Media
ISBN 13 : 3540279261
Total Pages : 314 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Tools for Computational Finance by : Rüdiger U. Seydel

Download or read book Tools for Computational Finance written by Rüdiger U. Seydel and published by Springer Science & Business Media. This book was released on 2006-08-07 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tools for Computational Finance offers a clear explanation of computational issues arising in financial mathematics. The new third edition is thoroughly revised and significantly extended, including an extensive new section on analytic methods, focused mainly on interpolation approach and quadratic approximation. Other new material is devoted to risk-neutrality, early-exercise curves, multidimensional Black-Scholes models, the integral representation of options and the derivation of the Black-Scholes equation. New figures, more exercises, and expanded background material make this guide a real must-to-have for everyone working in the world of financial engineering.

Applied Stochastic Processes

Author : Mario Lefebvre
Publisher : Springer Science & Business Media
ISBN 13 : 0387489762
Total Pages : 395 pages
Book Rating : 4.3/5 (874 download)

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Book Synopsis Applied Stochastic Processes by : Mario Lefebvre

Download or read book Applied Stochastic Processes written by Mario Lefebvre and published by Springer Science & Business Media. This book was released on 2007-12-14 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book uses a distinctly applied framework to present the most important topics in stochastic processes, including Gaussian and Markovian processes, Markov Chains, Poisson processes, Brownian motion and queueing theory. The book also examines in detail special diffusion processes, with implications for finance, various generalizations of Poisson processes, and renewal processes. It contains numerous examples and approximately 350 advanced problems that reinforce both concepts and applications. Entertaining mini-biographies of mathematicians give an enriching historical context. The book includes statistical tables and solutions to the even-numbered problems at the end.

Isomonodromic Deformations and Frobenius Manifolds

Author : Claude Sabbah
Publisher : Springer Science & Business Media
ISBN 13 : 1848000545
Total Pages : 290 pages
Book Rating : 4.8/5 (48 download)

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Book Synopsis Isomonodromic Deformations and Frobenius Manifolds by : Claude Sabbah

Download or read book Isomonodromic Deformations and Frobenius Manifolds written by Claude Sabbah and published by Springer Science & Business Media. This book was released on 2007-12-20 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on a series of graduate lectures, this book provides an introduction to algebraic geometric methods in the theory of complex linear differential equations. Starting from basic notions in complex algebraic geometry, it develops some of the classical problems of linear differential equations. It ends with applications to recent research questions related to mirror symmetry. The fundamental tool used is that of a vector bundle with connection. The book includes complete proofs, and applications to recent research questions. Aimed at graduate students and researchers, the book assumes some familiarity with basic complex algebraic geometry.

Probability Theory

Author : Achim Klenke
Publisher : Springer Science & Business Media
ISBN 13 : 1848000480
Total Pages : 621 pages
Book Rating : 4.8/5 (48 download)

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Book Synopsis Probability Theory by : Achim Klenke

Download or read book Probability Theory written by Achim Klenke and published by Springer Science & Business Media. This book was released on 2007-12-31 with total page 621 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed primarily at graduate students and researchers, this text is a comprehensive course in modern probability theory and its measure-theoretical foundations. It covers a wide variety of topics, many of which are not usually found in introductory textbooks. The theory is developed rigorously and in a self-contained way, with the chapters on measure theory interlaced with the probabilistic chapters in order to display the power of the abstract concepts in the world of probability theory. In addition, plenty of figures, computer simulations, biographic details of key mathematicians, and a wealth of examples support and enliven the presentation.