Product Description: Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen...read more

Since the publication of Random Matrices (Academic Press, 1967) so many new results have emerged both in theory and in applications, that this edition is almost completely revised to reflect the developments. For example, the theory of matrices with quaternion elements was developed to compute certain multiple integrals, and the inverse scattering theory was used to derive asymptotic results. The discovery of Selberg's 1944 paper on a multiple integral also gave rise to hundreds of recent publications. This book presents a coherent and detailed analytical treatment of random matrices, leading in particular to the calculation of n-point correlations, of spacing probabilities, and of a number of statistical quantities. The results are used in describing the statistical properties of nuclear excitations, the energies of chaotic systems, the ultrasonic frequencies of structural materials, the zeros of the Riemann zeta function, and in general the characteristic energies of any sufficiently complicated system. Of special interest to physicists and mathematicians, the book is self-contained and the reader need know mathematics only at the undergraduate level. Key Features* The three Gaussian ensembles, unitary, orthogonal, and symplectic; their n-point correlations and spacing probabilities* The three circular ensembles: unitary, orthogonal, and symplectic; their equivalence to the Gaussian* Matrices with quaternion elements* Integration over alternate and mixed variables* Fredholm determinants and inverse scattering theory* A Brownian motion model of the matrices* Computation of the mean and of the variance of a number of statistical quantities* Selberg's integral and its consequences

Product Description: Die numerische Behandlung von Matrizen gewinnt zunehmend Bedeutung in einer Vielzahl von Wissensgebieten; insbesondere tritt hauftg die Frage auf, wie sich An derungen an Matrizen auf die Inverse der Matrix auswirken. Als Operationen kom men Addition, Randerung und Reduktion von Matrizen in Frage...read more

Product Description: First Edition; 8vo. 9 3/4 x 6 3/4 inches. [vi], 200 pp. Figures and tables. Gilt-stamped navy cloth. The papers in this volume were published originally in the Library Quarterly, January, 1970. Presents 9 papers (and discussions) on the deterioration of paper and cellulosic products in research library and the remedial actions that can be taken...read more

Product Description: Book

Product Description: Schon seit Entwicklungsbeginn der elektronischen Rechner besteht eine Symbiose zwischen der ADY-Technik und dem Operations Research. Bei den Operations Research-Techniken nahm die lineare Programrnierung lange eine derart zentrale Stellung ein, da6 nur zu hauf18 Operations Research und Linear Programming als Synonyme gebraucht wurden...read more

Product Description: Die programmierten Aufgaben zur linearen Algebra und analytischen Geometrie sind als erganzendes Arbeitsmaterial fUr Studenten der ersten Semester gedacht. Sie sollen einerseits zur selbstandigen Bearbeitung von Aufgaben anregen und damit schnell zu einer Vertrautheit mit den Grundbegriffen und Methoden der linearen Algebra fOOren, sie sollen andererseits die Moglichkeit bieten, das Verstandnis dieser Begriffe und Methoden ohne fremde Hilfe zu iiberprufen...read more

Product Description: 3a, mein l}teunb, e5 finb bie stlange U5 ber liingft tJerfc onnen %raum eit; \J1ur bali oft mob erne %riller @aufefn burc ben often @runbton. Sj. Sjeine, tta %roH CstalJut XXVIII) O. Die stiirmische Entwicklung der Mathematik in den letzten Jahrzehnten hat auch vor den Horsalen der Anfangssemester nicht haltgemacht...read more

Product Description: This volume offers a concise yet complete overview of the history of the Jews from the Hebrew father-rulers, Abraham, Issac, Jacob, and Joseph in the second Millennium B.C. to the fall of Jerusalem in 70 A.D. Rattey supplements each chapter with helpful suggestions to enable the reader to create his or her own notes, and includes several illustrative maps, a chronological table of events from 2000 B...read more

Product Description: The goal of these notes is to give a reasonahly com­ plete, although not exhaustive, discussion of what is commonly referred to as the Hopf bifurcation with applications to spe­ cific problems, including stability calculations. Historical­ ly, the subject had its origins in the works of Poincare [1] around 1892 and was extensively discussed by Andronov and Witt [1] and their co-workers starting around 1930...read more

Product Description: The purpose of this monograph is to provide a concise introduction to the theory of generalized inverses of matrices that is accessible to undergraduate mathematics majors. Although results from this active area of research have appeared in a number of excellent graduate level text­ books since 1971, material for use at the undergraduate level remains fragmented...read more

Product Description: Das Problem der Zerfallung von Kronecker-Produkten irreduzibler Darstellungen der SL(2, lR) in irreduzible wurde von PUKANSZKY [9] im lahr 1961 in die Literatur eingefiihrt. Er behandelte den Fall, in dem beide Ausgangsdarstellungen der kontinuierlichen Serie angehoren, und bestimmte die Vielfachheit und die MaBklasse, mit der die verschiedenen irreduziblen Darstellungen in der Zerfallung vorkommen...read more