birkhäuser boston jan 1983 (15 results)

Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Springer Book Archives 288 pp. Englisch.

Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Branching processes form one of the classical fields of applied probability and are still an active area of research. The field has by now grown so large and diverse that a complete and unified treat ment is hardly possible anymore, let alone in one volume. So, our aim here has been to single out some of the more recent developments and to present them with sufficient background material to obtain a largely self-contained treatment intended to supplement previous mo nographs rather than to overlap them. The body of the text is divided into four parts, each of its own flavor. Part A is a short introduction, stressing examples and applications. In Part B we give a self-contained and up-to-date pre sentation of the classical limit theory of simple branching processes, viz. the Gal ton-Watson ( Bienayme-G-W) process and i ts continuous time analogue. Part C deals with the limit theory of Il!arkov branching processes with a general set of types under conditions tailored to (multigroup) branching diffusions on bounded domains, a setting which also covers the ordinary multitype case. Whereas the point of view in Parts A and B is quite pedagogical, the aim of Part C is to treat a large subfield to the highest degree of generality and completeness possi'ble. Thus the exposition there is at times quite technical. 472 pp. Englisch.

Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In many scientific or engineering applications, where ordinary differen tial equation (OOE),partial differential equation (POE), or integral equation (IE) models are involved, numerical simulation is in common use for prediction, monitoring, or control purposes. In many cases, however, successful simulation of a process must be preceded by the solution of the so-called inverse problem, which is usually more complex: given meas ured data and an associated theoretical model, determine unknown para meters in that model (or unknown functions to be parametrized) in such a way that some measure of the 'discrepancy' between data and model is minimal. The present volume deals with the numerical treatment of such inverse probelms in fields of application like chemistry (Chap. 2,3,4, 7,9), molecular biology (Chap. 22), physics (Chap. 8,11,20), geophysics (Chap. 10,19), astronomy (Chap. 5), reservoir simulation (Chap. 15,16), elctrocardiology (Chap. 14), computer tomography (Chap. 21), and control system design (Chap. 12,13). In the actual computational solution of inverse problems in these fields, the following typical difficulties arise: (1) The evaluation of the sen sitivity coefficients for the model. may be rather time and storage con suming. Nevertheless these coefficients are needed (a) to ensure (local) uniqueness of the solution, (b) to estimate the accuracy of the obtained approximation of the solution, (c) to speed up the iterative solution of nonlinear problems. (2) Often the inverse problems are ill-posed. To cope with this fact in the presence of noisy or incomplete data or inev itable discretization errors, regularization techniques are necessary. 376 pp. Englisch.

Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This volume consists of about half of the papers presented during a three-day seminar on stochastic processes held at Northwestern University in March 1982. This was the second of such yearly seminars aimed at bringing together a small group of researchers to discuss their current work in an informal atmosphere. The invited participants in this year's seminar were B. ATKINSON, R. BASS, K. BICHTELER, D. BURKHOLDER, K.L. CHUNG, J.L. DOOB, C. DOLEANS-DADE, H. FOLLMER, R.K. GETOOR, J. GLOVER, J. MITRO, D. MONRAD, E. PERKINS, J. PITMAN, Z. POP-STOJANOVIC, M.J. SHARPE, and J. WALSH. We thank them and the other participants for the lively atmosphere of the seminar. As mentioned above, the present volume is only a fragment of the work discussed at the seminar, the other work having been committed to other publications. The seminar was made possible through the enlightened support of the Air Force Office of Scientific Research, Grant No. 80-0252A. We are grateful to them as well as the publisher, Birkhauser, Boston, for their support and encouragement. E.C. , Evanston, 1983 Seminar on stochastic Processes, 1982 Birkhauser, Boston, 1983 GERM FIELDS AND A CONVERSE TO THE STRONG MARKOV PROPERTY by BRUCE W. ATKINSON 1. Introduction The purpose of this paper is to give an intrinsic characterization of optional (i.e., stopping) times for the general germ Markov process, which includes the general right process as a special case. We proceed from the general to the specific. 312 pp. Englisch.

Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -I. Tschebyscheff.- A book is born and a severe criticism is levelled at it. The famous Russian mathematician Tschebyscheff is introduced.- II. Cyril.- In which the author speculates on why it is hard to transliterate Russian words. His position on transliteration is made clear.- III. Watt.- How Watt¿s steam engine led to the discovery of a great mathematical theory, and how theory and practice are often miles apart.- IV. Lipkin.- How a brilliant young man from Lithuania was scooped by a captain in the French army. The author finds a startling connection between the young man and himself.- V. Pafnuty.- In which the author is struck by a strange mania, leading him first to the Nicean Creed and later to Boss Tweed of Tammany Hall fame.- VI. Theodora.- How a cucumber slicer fanned the flames of the author¿s mania, and he received a letter from the banks of the Nile at Aswan.- VII. Paphnutius.- Of the Desert Fathers, including a hippopotamus story and stories about Paphnutius, the Holy Man of God.- VIII. Th¿.- In which the author speculates on the dialectical union of opposites, and how, in his mad pursuit, he is led to Hrotsvitha and to Oscar Wilde.- IX. Cadbury.- Always on Quest, the author travels to Tasmania. He eats custard at the Royal Yacht Club of Tasmania, only to get his spelling criticized.- X. Yeti.- Airborne across the Eastern skies, the author, like jesting Pilate, wonders what truth is. He recalls several instances in which it is hard to know the truth.- XI. Lama Ted.- An incident in Rhode Island, involving prayer flags dropped from the Mount Hope Bridge, shows how the truth is elusive.- XII. Nadra.- In which the author meets an exilarch, encounters a wraparound motorcyclist, and spends the night in the Princess Room.- XIII. Herod.- The author, with head covered, stands at The Wailing Wall next to a black priest in a Roman collar. He ponders the nature of symbols.- XIV. Babnuda.- At Abu Nussar¿s Nite Club, the author finds the Rock Bottom Resolution of his problem.- XV. The Man on the Moon.- How Tschebyscheff got to the moon. Loose threads for future tales.- Epilogue. 144 pp. Englisch.

Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware --Ecclesiastes 12:12 Programs are invariably subjected to many rorms or transrormation. After an initial version of a program has been designed and developed, it undergoes debugging and certification. In addition, most long-lived pro grams have a liCe-cycle that includes modifications to meet amended specifications and extensions for expanded capabilities. Such evolution ary aspects of programming are the topic of this monograph. We present rormal methods for manipulating programs and illustrate their applica tion with numerous examples. Such methods could be incorporated in semi-automated programming environments, where they would serve to ease the burden on the programmer. We begin by describing a method whereby a given program that achieves one goal can be modified to achieve a different goal or a pro gram that computes wrong results can be debugged to achieve the 2 Preface intended results. The abstraction of a set of cognate programs to obtain a program schema, and the instantiation of abstract schemata to solve concrete problems, are approached from the same perspective. In addition, we describe synthesis rules for generating code from specifications and annotation rules for making assertions about code. The synthesis rules may be used when a program is first being developed, or when, in the course of modifying a program, the need arises to rewrite a program segment. Annotation rules may be used for the purpose of determining what an incorrect program really does before attempting to debug it or how a correct program works before attempting to modify it. 368 pp. Englisch.

Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This volume is the result of a conference on Representation Theory of Reductive Groups held in Park City, Utah, April 16-20, 1982, under the auspices of the Department of Mathematics, University of Utah. Funding for the conference was provided by the National Science Foundation. The text includes a number of original papers together with expository articles on work already in print. It is hoped that the volume will be of use to both experts in the field and nonspecialists interested in obtaining some insight into the area. Principal organizers of the conference were Henryk Hecht, Dragan Mili~ie, and Peter Trombi. They would like to express their thanks to the National Science Foundation for their support, to the speakers for their diligence in submitting their manuscripts, and to Carla Curtis, Karen Edge, and Katherine Ruth, for typing the manuscripts which were contributed. v CONTENTS J. Arthur, Multipliers and a Paley-Wiener theorem for real reductive groups . . 312 pp. Englisch.

Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Volume I Arithmetic.- Generators of the N¿n-Severi Group of a Fermat Surface.- p-adic Etale Cohomology.- The Mordell-Weil Group of Curves of Genus 2.- Number Theoretic Applications of Polynomials with Rational Coefficients Defined by Extremality Conditions.- Infinite Descent on Elliptic Curves with Complex Multiplication.- On the Ubiquity of Pathology in Products.- Conjectured Diophantine Estimates on Elliptic Curves.- Zeta-Functions of Varieties over Finite Fields at s =1.- Canonical Height Pairings via Biextensions.- The Action of an Automorphism of C on a Shimura Variety and its Special Points.- The Torelli Theorem for Ordinary K3 Surfaces over Finite Fields.- Real Points on Shimura Curves.- Special Automorphic Forms on PGSp4.- Courbes sur une vari¿ ab¿enne et points de torsion.- Euler and the Jacobians of Elliptic Curves. 376 pp. Englisch.

Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware 532 pp. Englisch.

Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Recent advances in the study of the existence of periodic orbits of Hamiltonian systems.- The direct method in the study of periodic solutions of Hamiltonian systems with prescribed period.- Periodic solutions of Hamiltonian systems having prescribed minimal period.- Duality in non convex variational problems.- La th¿ie de la seconde variation et le probl¿ lin¿re quadratique.- M¿odes asymptotiques dans l¿¿de de syst¿s hamiltoniens non autonomes.- Numerical research of periodic solutions for a Hamiltonian system. 204 pp. Englisch.

Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware 188 pp. Englisch.

Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This unusual, but very useful, 'how-not-to' book is available in a second edition which eliminates most involuntary mistakes. 84 pp. Englisch.

Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -15 0. PRELIMINARIES a) Notations from Manifold Theory b) The Language of Jet Manifolds c) Frame Manifolds d) Differentia! Ideals e) Exterior Differential Systems EULER-LAGRANGE EQUATIONS FOR DIFFERENTIAL SYSTEMS ~liTH ONE I. 32 INDEPENDENT VARIABLE a) Setting up the Problem; Classical Examples b) Variational Equations for Integral Manifolds of Differential Systems c) Differential Systems in Good Form; the Derived Flag, Cauchy Characteristics, and Prolongation of Exterior Differential Systems d) Derivation of the Euler-Lagrange Equations; Examples e) The Euler-Lagrange Differential System; Non-Degenerate Variational Problems; Examples FIRST INTEGRALS OF THE EULER-LAGRANGE SYSTEM; NOETHER'S II. 1D7 THEOREM AND EXAMPLES a) First Integrals and Noether's Theorem; Some Classical Examples; Variational Problems Algebraically Integrable by Quadratures b) Investigation of the Euler-Lagrange System for Some Differential-Geometric Variational Pro~lems: 2 i) ( K ds for Plane Curves; i i) Affine Arclength; 2 iii) f K ds for Space Curves; and iv) Delauney Problem. II I. EULER EQUATIONS FOR VARIATIONAL PROBLEfiJS IN HOMOGENEOUS SPACES 161 a) Derivation of the Equations: i) Motivation; i i) Review of the Classical Case; iii) the Genera 1 Euler Equations 2 K /2 ds b) Examples: i) the Euler Equations Associated to f for lEn; but for Curves in i i) Some Problems as in i) sn; Non- Curves in iii) Euler Equations Associated to degenerate Ruled Surfaces IV. 352 pp. Englisch.

Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Volume II Geometry.- Some Algebro-Geometrical Aspects of the Newton Attraction Theory.- Smoothing of a Ring Homomorphism Along a Section.- Convexity and Loop Groups.- The Jacobian Conjecture and Inverse Degrees.- Some Observations on the Infinitesimal Period Relations for Regular Threefolds with Trivial Canonical Bundle.- On Nash Blowing-Up.- Arrangements of Lines and Algebraic Surfaces.- Regular Functions on Certain Infinitedimensional Groups.- Examples of Surfaces of General Type with Vector Fields.- Flag Superspaces and Supersymmetric Yang-Mills Equations.- Algebraic Surfaces and the Arithmetic of Braids, I.- Towards an Enumerative Geometry of the Moduli Space of Curves.- Schubert Varieties and the Variety of Complexes.- A Crystalline Torelli Theorem for Supersingular K3 Surfaces.- Decomposition of Toric Morphisms.- A Solution to Hironaka¿s Polyhedra Game.- On the Superpositions of Mathematical Instantons.- How Many Kahler Metrics Has a K3 Surface .- On the Problem of Irreducibility of the Algebraic System of Irreducible Plane Curves of a Given Order and Having a Given Number of Nodes. 496 pp. Englisch.

Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Birkhauser Boston, Inc., will publish a series of carefully selected mono graphs in the area of mathematical modeling to present serious applications of mathematics for both the undergraduate and the professional audience. Some of the monographs to be selected and published will appeal more to the professional mathematician and user of mathematics, serving to familiarize the user with new models and new methods. Some, like the present monograph, will stress the educational aspect and will appeal more to a student audience, either as a textbook or as additional reading. We feel that this first volume in the series may in itself serve as a model for our program. Samuel Goldberg attaches a high priority to teaching stu dents the art of modeling, that is, to use his words, the art of constructing useful mathematical models of real-world phenomena. We concur. It is our strong conviction as editors that the connection between the actual problems and their mathematical models must be factually plausible, if not actually real. As this first volume in the new series goes to press, we invite its readers to share with us both their criticisms and their constructive suggestions. 136 pp. Englisch.