- Table View
- List View
Multilinear Algebra (Universitext)
by Werner GreubThis book is a revised version of the first edition and is intended as a Linear Algebra sequel and companion volume to the fourth edition of (Graduate Texts in Mathematics 23). As before, the terminology and basic results of Linear Algebra are frequently used without refer~nce. In particular, the reader should be familiar with Chapters 1-5 and the first part of Chapter 6 of that book, although other sections are occasionally used. In this new version of Multilinear Algebra, Chapters 1-5 remain essen tially unchanged from the previous edition. Chapter 6 has been completely rewritten and split into three (Chapters 6, 7, and 8). Some of the proofs have been simplified and a substantial amount of new material has been added. This applies particularly to the study of characteristic coefficients and the Pfaffian. The old Chapter 7 remains as it stood, except that it is now Chapter 9. The old Chapter 8 has been suppressed and the material which it con tained (multilinear functions) has been relocated at the end of Chapters 3, 5, and 9. The last two chapters on Clifford algebras and their representations are completely new. In view of the growing importance of Clifford algebras and the relatively few references available, it was felt that these chapters would be useful to both mathematicians and physicists.
Multiple Criteria Problem Solving: Proceedings of a Conference Buffalo, N.Y. (U.S.A), August 22 – 26, 1977 (Lecture Notes in Economics and Mathematical Systems #155)
by S. ZiontsThe objective of this conference was to foster a healthy exchange of ideas and experience in the domain of multiple criteria problem solving. This conference was an outgrowth of an earlier conference I organized with Herve Thiriez at CESA, Jouy-en-Josas, France in 1975 during my stay at the European Institute in Brussels. When I re joined the State University of New York at Buffalo that year, I be gan to search for potential sponsors for this conference. Approxi mately one year later when the prospects began to look promising, I contacted several individuals to act as an informal coordinating committee for the conference. I wanted to avoid biasing the con ference completely to my way of thinking! The members of this committee were Jim Dyer, Peter Fishburn, Ralph Kee. ney, Bernard Roy (Universite de Paris IX Dauphine who was unable to participate in the conference), and Milan Zeleny. Though the committee did not meet, per se, their inputs regarding format, possible participants, number of participants, length of the conference, and so on were of great value to me in planning and organizing the conference. I wish to acknowledge the contributions of this group. We were most fortunate in obtaining the financial support of the European Institute for Advanced Studies in Management, Brussels ·(one of the sponsors of the Jouy-en-Josas conference), the Office of Naval Research, and the State University of New York at Buffalo.
Neo-Ricardian Theory: With Applications to Some Current Economic Problems (Lecture Notes in Economics and Mathematical Systems #156)
by B. Näslund B. SellstedtDuring the last fifteen years certain very fundamental aspects of economic theory have been very actively debated. The debate has often been called the Cambridge controversy, since the main parti cipants in the debate come from Cambridge, USA and Cambridge, Eng land. In this debate certain important foundations of economic theory have been criticized which are specifically important for understand ing price formation and income distribution. An important starting point has been Sraffa's extensions of Ricardo's theory and one has therefore sometimes called those neo-Ricardians, who have based themselves on Sraffa's work. We shall deal with some important issues that have been debated, and we shall try to describe a rather complete theoretical construction which will be an alternative to neo-classical theory. A special problem relates to the title of the book and classification of authocs to whom we refer. Perhaps post-Keynesian would sometimes be a better label than neo-Ricardian. We have used the latter name for the book due to its large emphasis on Sraffa's work. To understand the main parts of the book only basic algebra and calculus are necessary.
Nonlinear Equations in Physics and Mathematics: Proceedings of the NATO Advanced Study Institute held in Istanbul, Turkey, August 1–13, 1977 (Nato Science Series C: #40)
by P. BarutThis is the third Volume in a series of books devoted to the interdisciplinary area between mathematics and physics, all ema nating from the Advanced Study Institutes held in Istanbul in 1970, 1972 and 1977. We believe that physics and mathematics can develop best in harmony and in close communication and cooper ation with each other and are sometimes inseparable. With this goal in mind we tried to bring mathematicians and physicists together to talk and lecture to each other-this time in the area of nonlinear equations. The recent progress and surge of interest in nonlinear ordi nary and partial differential equations has been impressive. At the same time, novel and interesting physical applications mul tiply. There is a unifying element brought about by the same characteristic nonlinear behavior occurring in very widely differ ent physical situations, as in the case of "solitons," for exam ple. This Volume gives, we believe, a very good indication over all of this recent progress both in theory and applications, and over current research activity and problems. The 1977 Advanced Study Institute was sponsored by the NATO Scientific Affairs Division, The University of the Bosphorus and the Turkish Scientific and Technical Research Council. We are deeply grateful to these Institutions for their support, and to lecturers and participants for their hard work and enthusiasm which created an atmosphere of lively scientific discussions.
Nonlinear Partial Differential Equations and Applications: Proceedings of a Special Seminar, Held at Indiana University, 1976-1977 (Lecture Notes in Mathematics #648)
by J. M. Chadam
Notwendige Optimalitätsbedingungen und ihre Anwendung (Lecture Notes in Economics and Mathematical Systems #152)
by A. Kirsch W. Warth J. Werner
Numerical Analysis: Proceedings of the Biennial Conference Held at Dundee, June 28 - July 1, 1977 (Lecture Notes in Mathematics #630)
by G. A. Watson
Numerical Treatment of Differential Equations: Proceedings of a Conference, Held at Oberwolfach, July 4-10, 1976 (Lecture Notes in Mathematics #631)
by R. Bulirsch R. D. Grigorieff J. Schröder
Numerical Treatment of Differential Equations in Applications: Proceedings, Oberwolfach, Germany, December 1977 (Lecture Notes in Mathematics #679)
by R. Ansorge W. TörnigWith contributions by numerous experts
Optimization and Operations Research: Proceedings of a Workshop Held at the University of Bonn, October 2–8, 1977 (Lecture Notes in Economics and Mathematical Systems #157)
by R. Henn B. Korte W. Oettli
Österreichisches Handelsrecht: Allgemeines Handelsrecht und gewerblicher Rechtsschutz (Springers Kurzlehrbücher der Rechtswissenschaft)
by Richard Holzhammer Walter Rinner
Partial Differential Equations (Applied Mathematical Sciences #1)
by F. JohnThe book has been completely rewritten for this new edition. While most of the material found in the earlier editions has been retained, though in changed form, there are considerable additions, in which extensive use is made of Fourier transform techniques, Hilbert space, and finite difference methods. A condensed version of the present work was presented in a series of lectures as part of the Tata Institute of Fundamental Research -Indian Insti tute of Science Mathematics Programme in Bangalore in 1977. I am indebted to Professor K. G. Ramanathan for the opportunity to participate in this excit ing educational venture, and to Professor K. Balagangadharan for his ever ready help and advice and many stimulating discussions. Very special thanks are due to N. Sivaramakrishnan and R. Mythili, who ably and cheerfully prepared notes of my lectures which I was able to use as the nucleus of the present edition. A word about the choice of material. The constraints imposed by a partial differential equation on its solutions (like those imposed by the environment on a living organism) have an infinite variety of con sequences, local and global, identities and inequalities. Theories of such equations usually attempt to analyse the structure of individual solutions and of the whole manifold of solutions by testing the compatibility of the differential equation with various types of additional constraints.
Particles and Fields
by David BoalThis volume contains the invited lectures and seminars presented at the Banff Summer Institute on Particles and Fields held at the Banff Center in Banff, Canada,from 25 August to 3 September, 1977. The town is situated in the heart of the Canadian Rockies, and the observant reader may notice references in this volume to the bears which roam near the town. The subject matter of the school was recent advances in particle physics and field theory. Lectures were given on such topics as extended objects, lattice gauge theories, quantum chromodynamics and Reggeon field theory. Experimental reviews were given of recent work in charmed particle and neutrino physics. Summaries of the theoretical implications of these experiments were also given. The format of the talks included eight lecture series (of three to four hours each) given by Profs. Abarbanel, Appelquist, Feldman, Gilman, 't Hooft, Jackiw, Mann and Weinstein, seven one-hour seminars given by Profs. Caianiello, Fujii, Johnson, Lam, Phillips, Sherry and Tze, and several short contributed seminars (which do not appear in this volume). There were also small informal seminar groups held at the Center and, we hope, many physics conversations on the hiking trails where most of the participants spent their afternoons. Not included in these proceedings are the banquet speeches by E. Caianiello and S. D. Drell, as well as (for copyright reasons) a seminar by K. Johnson.
Perspektiven der Gesundheitssystemforschung: Frühjahrstagung, Wuppertal, 1978, Fachbereich Planung und Auswertung der Deutschen Gesellschaft für Medizinische Dokumentation, Informatik und Statistik — GMDS — (Medizinische Informatik, Biometrie und Epidemiologie #10)
by W. Van Eimeren
Polymer Fracture (Polymers - Properties and Applications #2)
by H. - KauschThis book on "Polymer Fracture" might as well have been called "Kinetic Theory of Polymer Fracture". The term "kinetic theory", however, needs some de finition or, at least, some explanation. A kinetic theory deals with and particu larly considers the effect of the existence and discrete size, of the motion and of the physical properties of molecules on the macroscopic behavior of an ensemble, gaseous or other. A kinetic theory of strength does have to consider additional aspects such as elastic and anelastic deformations, chemical and physical reactions, and the sequence and distribution of different disintegration steps. In the last fifteen years considerable progress has been made in the latter do mains. The deformation and rupture of molecular chains, crystals, and morphologi cal structures have been intensively investigated. The understanding of the effect of those processes on the strength of polymeric materials has especially been furthered by the development and application of spectroscopical methods (ESR, IR) and of the tools offracture mechanics. It is the aim of this book to relate the conventional and successful statistical, parametrical, and continuum mechanical treatment of fracture phenomena to new results on the behavior of highly stressed molecular chains.
Principles and Procedures of Numerical Analysis (Mathematical Concepts and Methods in Science and Engineering #14)
by Ferenc Szidarovszky Sidney J. YakowitzIt is an incontestable fact that numerical analysis techniques are used rou tinely (although not always effectively) in virtually every quantitative field of scientific endeavor. In this book, which is directed toward upper-division and graduate level students in engineering and mathematics, we have selected for discussion subjects that are traditionally found in numerical analysis texts. But our choice of methodology rejects the traditional where analysis and experience clearly warrant such a departure, and one of our primary aspirations in this work is to equip the reader with the wherewithal to apply numerical analysis thinking to nontraditional subjects. For there is a plethora of computer-oriented sciences such as optimization, statistics, and system analysis and identification that are sorely in need of methods comparable to those related here for classical numerical analysis problems. Toward uncovering for the reader the structure of numerical methods we have, for example, devoted a chapter to a metric space theory for iter ative application of operators. In this chapter, we have collected those definitions and concepts of real and functional analysis that are requisite to a modern intermediate-level exposition of the principles of numerical anal ysis. Further, we derive the abstract theory (most notably, the contraction mapping theorem) for iteration processes.
Principles of Advanced Mathematical Physics (Theoretical and Mathematical Physics)
by Robert D. RichtmyerA first consequence of this difference in texture concerns the attitude we must take toward some (or perhaps most) investigations in "applied mathe matics," at least when the mathematics is applied to physics. Namely, those investigations have to be regarded as pure mathematics and evaluated as such. For example, some of my mathematical colleagues have worked in recent years on the Hartree-Fock approximate method for determining the structures of many-electron atoms and ions. When the method was intro duced, nearly fifty years ago, physicists did the best they could to justify it, using variational principles, intuition, and other techniques within the texture of physical reasoning. By now the method has long since become part of the established structure of physics. The mathematical theorems that can be proved now (mostly for two- and three-electron systems, hence of limited interest for physics), have to be regarded as mathematics. If they are good mathematics (and I believe they are), that is justification enough. If they are not, there is no basis for saying that the work is being done to help the physicists. In that sense, applied mathematics plays no role in today's physics. In today's division of labor, the task of the mathematician is to create mathematics, in whatever area, without being much concerned about how the mathematics is used; that should be decided in the future and by physics.
Principles of Algebraic Geometry (Wiley Classics Library #52)
by Phillip Griffiths Joseph HarrisA comprehensive, self-contained treatment presenting general results of the theory. Establishes a geometric intuition and a working facility with specific geometric practices. Emphasizes applications through the study of interesting examples and the development of computational tools. Coverage ranges from analytic to geometric. Treats basic techniques and results of complex manifold theory, focusing on results applicable to projective varieties, and includes discussion of the theory of Riemann surfaces and algebraic curves, algebraic surfaces and the quadric line complex as well as special topics in complex manifolds.
Principles of Algebraic Geometry (Wiley Classics Library #52)
by Phillip Griffiths Joseph HarrisA comprehensive, self-contained treatment presenting general results of the theory. Establishes a geometric intuition and a working facility with specific geometric practices. Emphasizes applications through the study of interesting examples and the development of computational tools. Coverage ranges from analytic to geometric. Treats basic techniques and results of complex manifold theory, focusing on results applicable to projective varieties, and includes discussion of the theory of Riemann surfaces and algebraic curves, algebraic surfaces and the quadric line complex as well as special topics in complex manifolds.