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< Πίσω Claude Berge TOPOLOGICAL SPACES Including a Treatment of Multi-Valued Functions, Vector Spaces and Convexity ISBN: 0-486-69653-7 Μετάφραση από τα γαλλικά: E. M. PATTERSON Αρχική τιμή / Τελική τιμή € 19,00 € 16,00 (-15,79%) Σειρά: Αντικείμενο: Εκδόσεις: Σελίδες: Διαστάσεις: Έκδοση: Ημερομηνία έκδοσης: Εξώφυλλο: Γλώσσα: Dover Books on Mathematics Topology Dover Publications 286 14 x 21,5 1η 1997 Μαλακό Αγγλικά Από το οπισθόφυλλο του βιβλίου: "Set topology, the subject of the present volume, studies sets in topological spaces and topological vector spaces; whenever these sets are collections of n-tuples or classes of functions, the book recovers well-known results of classical analysis. In order to provide a topological tool of equal interest to students of both pure and applied mathematics, this work includes a systematic development of the properties of multi-valued functions. Topics include families of sets, mappings of one set into another, ordered sets, topological spaces, topological properties of metric spaces, mappings from one topological space into another, mappings of one vector space into another, convex sets and convex functions in the space R" and topological vector spaces. To render the expositions more concrete, examples have been included from very different domains. 1963 edition." < Προηγούμενο Επόμενο >

< Πίσω Edwin Weiss ALGEBRAIC NUMBER THEORY ISBN: 0-486-40189-8 Αρχική τιμή / Τελική τιμή € 22,00 € 18,00 (-18,18%) Σειρά: Αντικείμενο: Εκδόσεις: Σελίδες: Number Theory Dover Publications 302 Διαστάσεις: 13,6 x 21,6 Εξώφυλλο: Έκδοση: Μαλακό 1η Ημερομηνία έκδοσης: 1998 Γλώσσα: Αγγλικά Careful organization and clear, detailed proofs characterize this methodical, self-contained exposition of basic results of classical algebraic number theory from a relatively modem point of view. This volume presents most of the number-theoretic prerequisites for a study of either class field theory (as formulated by Artin and Tate) or the contemporary treatment of analytical questions (as found, for example, in Tate's thesis). Although concerned exclusively with algebraic number fields, this treatment features axiomatic formulations with a considerable range of applications. Modem abstract techniques constitute the primary focus. Topics include introductory materials on elementary valuation theory, extension of valuations, local and ordinary arithmetic fields, and global, quadratic, and cyclotomic fields. Subjects correspond to those usually covered in a one-semester, graduate level course in algebraic number theory, making this book ideal either for classroom use or as a stimulating series of exercises for mathematically minded individuals. Προηγούμενο Επόμενο

< Πίσω Inder K. Rana AN INTRODUCTION TO MEASURE AND INTEGRATION ISBN: 0-8218-2974-2 Αρχική τιμή / Τελική τιμή € 90,00 € 72,00 (-20%) Σειρά: Αντικείμενο: Εκδόσεις: Σελίδες: Διαστάσεις: Έκδοση: Ημερομηνία έκδοσης: Εξώφυλλο: Γλώσσα: Graduate Studies in Mathematics Measure Theory American Mathematical Society 448 18 x 26 2η 2002 Σκληρό Αγγλικά Integration is one of the two cornerstones of analysis. Since the fundamental work of Lebesgue, integration has been interpreted in terms of measure theory. This introductory text starts with the historical development of the notion of the integral and a review of the Riemann integral. From here, the reader is naturally led to the consideration of the Lebesgue integral, where abstract integration is developed via measure theory. The important basic topics are all covered: the Fundamental Theorem of Calculus, Fubini's Theorem, LpLp spaces, the Radon-Nikodym Theorem, change of variables formulas, and so on. The book is written in an informal style to make the subject matter easily accessible. Concepts are developed with the help of motivating examples, probing questions, and many exercises. It would be suitable as a textbook for an introductory course on the topic or for self-study. For this edition, more exercises and four appendices have been added. The AMS maintains exclusive distribution rights for this edition in North America and nonexclusive distribution rights worldwide, excluding India, Pakistan, Bangladesh, Nepal, Bhutan, Sikkim, and Sri Lanka. < Προηγούμενο Επόμενο >

< Πίσω W. Comfort & S. Negrepontis CHAIN CONDITIONS IN TOPOLOGY ISBN: 0-521-23487-5 Αρχική τιμή / Τελική τιμή € 76,00 € 60,00 (-21,05%) Σειρά: Αντικείμενο: Εκδόσεις: Σελίδες: Διαστάσεις: Έκδοση: Ημερομηνία έκδοσης: Εξώφυλλο: Γλώσσα: Topology Cambridge University Press 320 14 x 21 1η 1982 Σκληρό Αγγλικά A chain condition is a property, typically involving considerations of cardinality, of the family of open subsets of a topological space. (Sample questions: (a) How large a fmily of pairwise disjoint open sets does the space admit? (b) From an uncountable family of open sets, can one always extract an uncountable subfamily with the finite intersection property. This monograph, which is partly fresh research and partly expository (in the sense that the authors co-ordinate and unify disparate results obtained in several different countries over a period of several decades) is devoted to the systematic use of infinitary combinatorial methods in topology to obtain results concerning chain conditions. The combinatorial tools developed by P. Erdös and the Hungarian school, by Erdös and Rado in the 1960s and by the Soviet mathematician Shanin in the 1940s, are adequate to handle many natural questions concerning chain conditions in product spaces. < Προηγούμενο Επόμενο >

< Πίσω Οι σελίδες 144-176 είναι πρόσθετες Herbert Federer GEOMETRIC MEASURE THEORY ISBN: 3-540-60656-4 Editors B. ECKMANN, B. L. VAN DER WAERDEN Αρχική τιμή / Τελική τιμή € 50,00 € 35,00 (-30%) Σειρά: Αντικείμενο: Εκδόσεις: Σελίδες: Διαστάσεις: Έκδοση: Ημερομηνία έκδοσης: Εξώφυλλο: Γλώσσα: Classics in Mathematics Measure Theory Springer 686 17 x 24 1η Ιανουάριος 1996 Μαλακό Αγγλικά During the last three decades the subject of geometric measure theory has developed from a collection of isolated special results into a cohesive body of basic knowledge with an ample natural structure of its own, and with strong ties to many other parts of mathematics. These advances have given us deeper perception of the analytic and topological foundations of geometry, and have provided new direction to the calculus of variations. Recently the methods of geometric measure theory have led to very substantial progress in the study of quite general elliptic variational problems, including the multidimensional problem of least area. This book aims to fill the need for a comprehensive treatise on geometric measure theory. It contains a detailed exposition leading from the foundations of the theory to the most recent discoveries, including many results not previously published. It is intended both as a reference book for mature mathematicians and as a textbook for able students. The material of Chapter 2 can be covered in a first year graduate course on real analysis. Study of the later chapters is suitable preparation for research. Some knowledge of elementary set theory, topology, linear algebra and commutative ring theory is prerequisite for reading this book, but the treatment is selfcontained with regard to all those topics in multilinear algebra, analysis, differential geometry and algebraic topology which occur. The formal presentation of the theory in Chapters 1 to 5 is preceded by a brief sketch of the main theme in the Introduction, which contains also some broad historical comments. A systematic attempt has been made to identify, at the beginning of each chapter, the original sources of all relatively new and important material presented in the text. References to literature on certain additional topics, which this book does not treat in detail, appear in the body of the text. Some further related publications are listed only in the bibliography. All references to the bibliography are abbreviated in square brackets; for example [C 1] means the first listed work byC.Caratheodory. < Προηγούμενο Επόμενο >

< Πίσω Boju Jiang TOPOLOGICAL FIXED POINT THEORY AND APPLICATIONS ISBN: 3-540-51932-7 Αρχική τιμή / Τελική τιμή € 44,00 € 35,00 (-20,45%) Σειρά: Αντικείμενο: Εκδόσεις: Σελίδες: Διαστάσεις: Έκδοση: Ημερομηνία έκδοσης: Εξώφυλλο: Γλώσσα: Lecture Notes in Mathematics Topology Springer-Verlag 216 17 x 24 1η Νοέμβριος 1989 Μαλακό Αγγλικά Proceedings of a Conference held at the Nankai Institute of Mathematics, Tianjin, PR China, April 5-8, 1988. This selection of papers from the Beijing conference gives a cross-section of the current trends in the field of fixed point theory as seen by topologists and analysts. Apart from one survey article, they are all original research articles, on topics including equivariant theory, extensions of Nielsen theory, periodic orbits of discrete and continuous dynamical systems, and new invariants and techniques in topological approaches to analytic problems. < Προηγούμενο Επόμενο >

< Πίσω Graham Flegg FROM GEOMETRY TO TOPOLOGY ISBN: 0-486-41961-4 Αρχική τιμή / Τελική τιμή € 20,00 € 17,00 (-15%) Σειρά: Αντικείμενο: Εκδόσεις: Σελίδες: Διαστάσεις: Έκδοση: Ημερομηνία έκδοσης: Εξώφυλλο: Γλώσσα: Dover Books on Mathematics Topology Dover Publications 208 14 x 21,5 1η Σεπτέμβριος 2001 Μαλακό Αγγλικά This excellent introduction to topology eases first-year math students and general readers into the subject by surveying its concepts in a descriptive and intuitive way, attempting to build a bridge from the familiar concepts of geometry to the formalized study of topology. The first three chapters focus on congruence classes defined by transformations in real Euclidean space. As the number of permitted transformations increases, these classes become larger, and their common topological properties become intuitively clear. Chapters 4–12 give a largely intuitive presentation of selected topics. In the remaining five chapters, the author moves to a more conventional presentation of continuity, sets, functions, metric spaces, and topological spaces. Exercises and Problems. < Προηγούμενο Επόμενο >

< Πίσω Richard Dedekind ESSAYS ON THE THEORY OF NUMBERS ISBN: 978-0-486-21010-0 Αρχική τιμή / Τελική τιμή € 22,00 € 16,50 (-25%) Σειρά: Αντικείμενο: Εκδόσεις: Σελίδες: Dover Books on Mathematics Number Theory Dover Publications 128 Διαστάσεις: 12,7 x 20,5 Εξώφυλλο: Έκδοση: Μαλακό 1η Ημερομηνία έκδοσης: Ιούνιος 1963 Γλώσσα: Αγγλικά This volume contains the two most important essays on the logical foundations of the number system by the famous German mathematician J. W. R. Dedekind. The first presents Dedekind's theory of the irrational number-the Dedekind cut idea-perhaps the most famous of several such theories created in the 19th century to give a precise meaning to irrational numbers, which had been used on an intuitive basis since Greek times. This paper provided a purely arithmetic and perfectly rigorous foundation for the irrational numbers and thereby a rigorous meaning of continuity in analysis. The second essay is an attempt to give a logical basis for transfinite numbers and properties of the natural numbers. It examines the notion of natural numbers, the distinction between finite and transfinite (infinite) whole numbers, and the logical validity of the type of proof called mathematical or complete induction. The contents of these essays belong to the foundations of mathematics and will be welcomed by those who are prepared to look into the somewhat subtle meanings of the elements of our number system. As a major work of an important mathematician, the book deserves a place in the personal library of every practicing mathematician and every teacher and historian of mathematics. Authorized translations by "Vooster " V. Beman. Προηγούμενο Επόμενο

< Πίσω Edmond Goblot TRAITÉ DE LOGIQUE ΑΡΙΘ. 008 Αρχική τιμή / Τελική τιμή € 60,00 € 48,00 (-20%) Σειρά: Αντικείμενο: Εκδόσεις: Σελίδες: Logic Librairie Armand Colin 436 Διαστάσεις: 14 x 23 Εξώφυλλο: Έκδοση: Μαλακό 1η Ημερομηνία έκδοσης: Σεπτέμβριος 1917 Γλώσσα: Γαλλικά Table des matières: Introduction Questions Préliminaires Du jugement Logique du concept Logique du concept (suite) Logique du concept (suite) Logique du concept (suite et fin) Logique du jugement Logique du jugement (suite) Logique du jugement (suite) Des raisonnements formels Des raisonnements formels (suite) Le raisonnement déductif Le raisonnement déductif (suite) L’induction Le principe de l’induction Le raisonnement téléologique Le raisonnement téléologique (suite) Les jugements de valeur L’esprit scientifique et le rationalisme Προηγούμενο Επόμενο

< Πίσω Anatole Beck CONTINUOUS FLOWS IN THE PLANE ISBN: 3-540-86157-6 Αρχική τιμή / Τελική τιμή € 88,00 € 70,00 (-20,45%) Σειρά: Αντικείμενο: Εκδόσεις: Σελίδες: Διαστάσεις: Έκδοση: Ημερομηνία έκδοσης: Εξώφυλλο: Γλώσσα: Grundlehren der mathematischen Wissenschaften Topology Springer-Verlag 476 16 x 23,5 1η 1974 Σκληρό Αγγλικά Topological Dynamics has its roots deep in the theory of differential equations, specifically in that portion called the "qualitative theory". The most notable early work was that of Poincare and Bendixson, regarding stability of solutions of differential equations, and the subject has grown around this nucleus. It has developed now to a point where it is fully capable of standing on its own feet as a branch of Mathematics studied for its intrinsic interest and beauty, and since the publication of Topological Dynamics by Gottschalk and Hedlund, it has been the subject of widespread study in its own right, as well as for the light it sheds on differential equations. The Bibliography for Topological Dyna mics by Gottschalk contains 1634 entries in the 1969 edition, and progress in the field since then has been even more prodigious. The study of dynamical systems is an idealization of the physical studies bearing such names as aerodynamics, hydrodynamics, electrodynamics, etc. We begin with some space (call it X) and we imagine in this space some sort of idealized particles which change position as time passes. < Προηγούμενο Επόμενο >

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