Franz Schreier's Books

Numerical Regularization for Atmospheric Inverse Problems

By: Adrian Doicu,Thomas Trautmann,Franz Schreier

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Numerical Regularization for Atmospheric Inverse Problems

By: Adrian Doicu,Thomas Trautmann,Franz Schreier

The retrieval problems arising in atmospheric remote sensing belong to the class of the - called discrete ill-posed problems. These problems are unstable under data perturbations, and can be solved by numerical regularization methods, in which the solution is stabilized by taking additional information into account. The goal of this research monograph is to present and analyze numerical algorithms for atmospheric retrieval. The book is aimed at physicists and engineers with some ba- ground in numerical linear algebra and matrix computations. Although there are many practical details in this book, for a robust and ef?cient implementation of all numerical algorithms, the reader should consult the literature cited. The data model adopted in our analysis is semi-stochastic. From a practical point of view, there are no signi?cant differences between a semi-stochastic and a determin- tic framework; the differences are relevant from a theoretical point of view, e.g., in the convergence and convergence rates analysis. After an introductory chapter providing the state of the art in passive atmospheric remote sensing, Chapter 2 introduces the concept of ill-posedness for linear discrete eq- tions. To illustrate the dif?culties associated with the solution of discrete ill-posed pr- lems, we consider the temperature retrieval by nadir sounding and analyze the solvability of the discrete equation by using the singular value decomposition of the forward model matrix.

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432

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Springer Science & Business Media

Published Date

ISBN 10

3642054390

ISBN 13

9783642054396

An Invitation To Algebraic Numbers And Algebraic Functions

By: Franz Halter-Koch

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An Invitation To Algebraic Numbers And Algebraic Functions

By: Franz Halter-Koch

The author offers a thorough presentation of the classical theory of algebraic numbers and algebraic functions which both in its conception and in many details differs from the current literature on the subject. The basic features are: Field-theoretic preliminaries and a detailed presentation of Dedekind’s ideal theory including non-principal orders and various types of class groups; the classical theory of algebraic number fields with a focus on quadratic, cubic and cyclotomic fields; basics of the analytic theory including the prime ideal theorem, density results and the determination of the arithmetic by the class group; a thorough presentation of valuation theory including the theory of difference, discriminants, and higher ramification. The theory of function fields is based on the ideal and valuation theory developed before; it presents the Riemann-Roch theorem on the basis of Weil differentials and highlights in detail the connection with classical differentials. The theory of congruence zeta functions and a proof of the Hasse-Weil theorem represent the culminating point of the volume. The volume is accessible with a basic knowledge in algebra and elementary number theory. It empowers the reader to follow the advanced number-theoretic literature, and is a solid basis for the study of the forthcoming volume on the foundations and main results of class field theory. Key features: • A thorough presentation of the theory of Algebraic Numbers and Algebraic Functions on an ideal and valuation-theoretic basis. • Several of the topics both in the number field and in the function field case were not presented before in this context. • Despite presenting many advanced topics, the text is easily readable. Franz Halter-Koch is professor emeritus at the university of Graz. He is the author of “Ideal Systems” (Marcel Dekker,1998), “Quadratic Irrationals” (CRC, 2013), and a co-author of “Non-Unique Factorizations” (CRC 2006).

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784

Publisher

CRC Press

Published Date

ISBN 10

042901466X

ISBN 13

9780429014666

Valuation Theory and Its Applications, Volume II

By: Franz-Viktor Kuhlmann

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Valuation Theory and Its Applications, Volume II

By: Franz-Viktor Kuhlmann

This book is the second of two proceedings volumes stemming from the International Conference and Workshop on Valuation Theory held at the University of Saskatchewan (Saskatoon, SK, Canada). It contains the most recent applications of valuation theory to a broad range of mathematical ideas. Valuation theory arose in the early part of the twentieth century in connection with number theory and continues to have many important applications to algebra, geometry, and analysis. The research and survey papers in this volume cover a variety of topics, including Galois theory, the Grunwald-Wang Theorem, algebraic geometry, resolution of singularities, curves over Prufer domains, model theory of valued fields and the Frobenius, Hardy fields, Hensel's Lemma, fixed point theorems, and computations in valued fields. It is suitable for graduate students and research mathematicians interested in algebra, algebraic geometry, number theory, and mathematical logic.

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473

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821832069

ISBN 13

9780821832066

Emil Artin and Helmut Hasse

By: Emil Artin,Helmut Hasse,Günther Frei,Peter Roquette,Franz Lemmermeyer

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Emil Artin and Helmut Hasse

By: Emil Artin,Helmut Hasse,Günther Frei,Peter Roquette,Franz Lemmermeyer

This book contains the full text of the letters from Emil Artin to Helmut Hasse, as they are preserved in the Handschriftenabteilung of the Göttingen University Library. There are 49 such letters, written in the years 1923-1934, discussing mathematical problems of the time. The corresponding letters in the other direction, i.e., from Hasse to Artin, seem to be lost. We have supplemented Artin's letters by detailed comments, combined with a description of the mathematical environment of Hasse and Artin, and of the relevant literature. In this way it has become possible to sufficiently reconstruct the content of the corresponding letters from Hasse to Artin too. Artin and Hasse were among those who shaped modern algebraic number theory, in particular class field theory. Their correspondence admits a view of the ideas which led to the great achievements of their time, starting from Artin's L-series and his reciprocity law towards Hasse‘s norm symbol, local class field theory and the Local-Global Principle. These letters are a valuable source for understanding the rise and development of mathematical ideas and notions as we see them today. The book is a follow-up of our earlier book on the correspondence between Hasse and Emmy Noether. It is thus the second of a series which aims to open access to the rich collection of Hasse's mathematical letters and notes contained in the Göttingen Handschriftenabteilung.

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502

Publisher

Universitätsverlag Göttingen

Published Date

ISBN 10

3940344508

ISBN 13

9783940344502

Class Field Theory and L Functions

Foundations and Main Results

By: Franz Halter-Koch

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Class Field Theory and L Functions

Foundations and Main Results

By: Franz Halter-Koch

The book contains the main results of class field theory and Artin L functions, both for number fields and function fields, together with the necessary foundations concerning topological groups, cohomology, and simple algebras. While the first three chapters presuppose only basic algebraic and topological knowledge, the rest of the books assumes knowledge of the basic theory of algebraic numbers and algebraic functions, such as those contained in my previous book, An Invitation to Algebraic Numbers and Algebraic Functions (CRC Press, 2020). The main features of the book are: A detailed study of Pontrjagin’s dualtiy theorem. A thorough presentation of the cohomology of profinite groups. A introduction to simple algebras. An extensive discussion of the various ray class groups, both in the divisor-theoretic and the idelic language. The presentation of local and global class field theory in the algebra-theoretic concept of H. Hasse. The study of holomorphy domains and their relevance for class field theory. Simple classical proofs of the functional equation for L functions both for number fields and function fields. A self-contained presentation of the theorems of representation theory needed for Artin L functions. Application of Artin L functions for arithmetical results.

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585

Publisher

CRC Press

Published Date

ISBN 10

0429014732

ISBN 13

9780429014734

Language, the Singer and the Song

The Sociolinguistics of Folk Performance

By: Richard J. Watts,Franz Andres Morrissey

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Language, the Singer and the Song

The Sociolinguistics of Folk Performance

By: Richard J. Watts,Franz Andres Morrissey

The relationship between language and music has much in common - rhythm, structure, sound, metaphor. Exploring the phenomena of song and performance, this book presents a sociolinguistic model for analysing them. Based on ethnomusicologist John Blacking's contention that any song performed communally is a 'folk song' regardless of its generic origins, it argues that folk song to a far greater extent than other song genres displays 'communal' or 'inclusive' types of performance. The defining feature of folk song as a multi-modal instantiation of music and language is its participatory nature, making it ideal for sociolinguistic analysis. In this sense, a folk song is the product of specific types of developing social interaction whose major purpose is the construction of a temporally and locally based community. Through repeated instantiations, this can lead to disparate communities of practice, which, over time, develop sociocultural registers and a communal stance towards aspects of meaningful events in everyday lives that become typical of a discourse community.

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391

Publisher

Cambridge University Press

Published Date

ISBN 10

1316999335

ISBN 13

9781316999332

The Pathology and Treatment of Childbed. A Treatise for Physicians and Students

By: Franz Winckel,James R. Chadwick

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The Pathology and Treatment of Childbed. A Treatise for Physicians and Students

By: Franz Winckel,James R. Chadwick

Reprint of the original, first published in 1876.

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522

Publisher

BoD – Books on Demand

Published Date

ISBN 10

3385518571

ISBN 13

9783385518575

The Hasse - Noether Correspondence 1925 -1935

English Translation with Extensive Commentary

By: Peter Roquette,Franz Lemmermeyer

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The Hasse - Noether Correspondence 1925 -1935

English Translation with Extensive Commentary

By: Peter Roquette,Franz Lemmermeyer

Providing the first comprehensive account of the widely unknown cooperation and friendship between Emmy Noether and Helmut Hasse, this book contains English translations of all available letters which were exchanged between them in the years 1925-1935. It features a special chapter on class field theory, a subject which was completely renewed in those years, Noether and Hasse being among its main proponents. These historical items give evidence that Emmy Noether's impact on the development of mathematics is not confined to abstract algebra but also extends to important ideas in modern class field theory as part of algebraic number theory. In her letters, details of proofs appear alongside conjectures and speculations, offering a rich source for those who are interested in the rise and development of mathematical notions and ideas. The letters are supplemented by extensive comments, helping the reader to understand their content within the mathematical environment of the 1920s and 1930s.

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328

Publisher

Springer Nature

Published Date

ISBN 10

303112880X

ISBN 13

9783031128806

Elementary Matrix Algebra

By: Franz E. Hohn

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Elementary Matrix Algebra

By: Franz E. Hohn

This complete and coherent exposition, complemented by numerous illustrative examples, offers readers a text that can teach by itself. Fully rigorous in its treatment, it offers a mathematically sound sequencing of topics. The work starts with the most basic laws of matrix algebra and progresses to the sweep-out process for obtaining the complete solution of any given system of linear equations — homogeneous or nonhomogeneous — and the role of matrix algebra in the presentation of useful geometric ideas, techniques, and terminology. Other subjects include the complete treatment of the structure of the solution space of a system of linear equations, the most commonly used properties of determinants, and linear operators and linear transformations of coordinates. Considerably more material than can be offered in a one-semester course appears here; this comprehensive volume by Franz E. Hohn, Professor of Mathematics at the University of Illinois for many years, provides instructors with a wide range of choices in order to meet differing interests and to accommodate students with varying backgrounds.

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562

Publisher

Courier Corporation

Published Date

ISBN 10

0486143724

ISBN 13

9780486143729

Numerical Regularization for Atmospheric Inverse Problems

By: Adrian Doicu,Thomas Trautmann,Franz Schreier

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Numerical Regularization for Atmospheric Inverse Problems

By: Adrian Doicu,Thomas Trautmann,Franz Schreier

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432

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Springer Science & Business Media

Published Date

ISBN 10

3642054390

ISBN 13

9783642054396

Memoirs of Franz von Papen

By: Franz von Papen

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Memoirs of Franz von Papen

By: Franz von Papen

The memoirs of Franz von Papen offer a fascinating view of the German Hierarchy from the reign of the last Kaiser to the reign of terror of Adolf Hitler. Although there is an element of self-justification, Conservative von Papen lays bare the machinations of the German politicians that led to Hitler to supreme power in Germany. Born into a wealthy, but not aristocratic, family in 1879 von Papen he started his career in the Imperial German Army rising to the General Staff and a diplomatic posting in America by 1914. He was involved in some very murky dealings as an intriguer behind the scenes in America, Canada before he was sent back to Germany, setting a precedent for later backroom dealings. After the close of the First World War he entered politics, as a Conservative Monarchist member of the Centre party, in the political chaos of the period he advanced swiftly owing to shrewd interparty dealings. He was eventually appointed Chancellor in 1932 mainly due to political friendships rather than his own political acumen; beset by huge political problems he sought to appease the vocal right wing parties. Without serious support in the Reichstag, von Papen governed by decree undermining Democracy, starting a process mastered later by Hitler himself. Outmaneuvered by Hitler and the Nazis he was forced from power, and by his foolish machinations set Hitler set up as Chancellor. Cast out of power von Papen was a broken reed, but as a still high-ranking observer to the Second World his memoirs are of vital importance in understanding Hitler’s war-mongering advances into Austria, Poland and France. He was captured by U.S. forces in 1945, he was put on trial for war crimes but was acquitted.

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1010

Publisher

Pickle Partners Publishing

Published Date

ISBN 10

1786257408

ISBN 13

9781786257406

Book's by Franz Schreier

Numerical Regularization for Atmospheric Inverse Problems

Numerical Regularization for Atmospheric Inverse Problems

An Invitation To Algebraic Numbers And Algebraic Functions

An Invitation To Algebraic Numbers And Algebraic Functions

Valuation Theory and Its Applications, Volume II

Valuation Theory and Its Applications, Volume II

Emil Artin and Helmut Hasse

Emil Artin and Helmut Hasse

Class Field Theory and L Functions

Class Field Theory and L Functions

Language, the Singer and the Song

Language, the Singer and the Song

The Pathology and Treatment of Childbed. A Treatise for Physicians and Students

The Pathology and Treatment of Childbed. A Treatise for Physicians and Students

The Hasse - Noether Correspondence 1925 -1935

The Hasse - Noether Correspondence 1925 -1935

Elementary Matrix Algebra

Elementary Matrix Algebra

Numerical Regularization for Atmospheric Inverse Problems

Numerical Regularization for Atmospheric Inverse Problems

Memoirs of Franz von Papen

Memoirs of Franz von Papen

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