advanced topics mathematical analysis (10 Ergebnisse)

paperback. Zustand: Fine.

Taschenbuch. Zustand: Neu. Neuware -This is the mathematical reference book for the first and the second year graduate students who want to learn more about the application of certain techniques, to do calculations which happen to have interesting results in mathematical analysis.It is well known that we often need to establish some new sequences to converge to some fundamental constants with increasingly higher rate.Mathematical constants play a key role in several branches of mathematics.In this theory, an important concern is the definition of new sequences convergent to the mathematical constants with quicker rate of convergence.The book is divided into three chapters, each dealing with a specific topics of mathematical analysis: sequences convergent to the Euler-Mascheroni constant and the generalized Euler-Mascheroni constant and approximations of the gamma function.This book can be used by students in mathematics, physics, and engineering and by anyone who wants to explore selected topics of mathematical analysis.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 132 pp. Englisch.

Zustand: New. In.

Zustand: New. In.

Paperback. Zustand: Brand New. 608 pages. 9.25x6.14x1.14 inches. In Stock.

Hardcover. Zustand: Brand New. 242 pages. 11.00x8.50x11.00 inches. In Stock.

Buch. Zustand: Neu. Neuware - Mathematical analysis is a mathematical discipline that deals with continuous functions, limits, and related theories such as differentiation, integration, infinite sequences, series and analytic functions. The field of mathematical analysis has multiple branches, which include real analysis, complex analysis, functional analysis, harmonics analysis and differential equations. Real analysis is a branch of mathematical analysis that involves the study of real numbers and real-valued functions of a real variable. Complex analysis examines the functions of complex numbers, and has several applications in physics and mathematics which include hydrodynamics, thermodynamics, mechanical engineering, electrical engineering, quantum theory, number theory, applied mathematics and algebraic geometry. Harmonic analysis is concerned with the representation of functions and signals as the superposition of basic waves and it finds applications in multiple areas including music theory, representation theory and tidal analysis. This book outlines the significance and applications of mathematical analysis in detail. Students, researchers, and experts associated with this field will benefit from it.

Hardcover. Zustand: gut. 1996. This text provides an introduction to a wide range of topics in analysis including set theory and mathematical logic; algebra; toplogy; normed spaces; integration theory; toplogical vector spaces; and differential equations.Handbook of Analysis and Its Foundations is a self-contained and unified handbook on mathematical analysis and its foundations. Intended as a self-study guide for advanced undergraduates and beginning graduatestudents in mathematics and a reference for more advanced mathematicians, this highly readable book provides broader coverage than competing texts in the area. Handbook of Analysis and Its Foundations provides an introduction to a wide range of topics, including: algebra; topology; normed spaces; integration theory; topological vector spaces; and differential equations. The author effectively demonstrates the relationships between these topics and includes a few chapters on set theory and logic to explain the lack of examples for classical pathological objects whose existence proofs are not constructive. More complete than any other book on the subject, students will find this to be an invaluable handbook. "This is quite a book! From the table of contents, it would appear to include just about everything one would want to know about the foundations of analysis. It is well-organized and the exposition in the sample chapters is quite good - clear, concise, and relatively easy to read. It is very good technically, the author knows what he is talking about." --George L. Cain, Georgia Institute of Technology Foundations of Analysis is a self-contained and unified handbook on the foundations of mathematical analysis. Intended as a self-study guide for advanced undergraduates and beginning graduate students in mathematics and a reference for more advanced mathematicians, this highly readable book provides broader coverage than competing texts in the area. Foundations of Analysis provides an introduction to a wide range of topics, includingset theory and mathematical logic, algebra, topology, normed spaces, integration theory, topological vector spaces, and differential equations. The author effectively demonstrates the relationships between these topics and includes a few chapters on set theory and logic to explain the lack of examples in the presentation of classical pathological objects through nonconstructive proofs. More complete than any other book on the subject, students will find this to be an invaluable handbook. Eric Schechter obtained his Ph.D. in mathematics at the University of Chicago. He is currently Associate Professor at Vanderbilt University, and has also taught at Duke University. Schechters research focuses on differential equations, fixed point theory, and the Axiom of Choice. He currently resides in Nashville, Tennessee with his wife, Elvira Casal, and his two children. Content: Sets and orderings: sets; functions; relations and orderings; more about sups and infs; sets of sets - filters topologies; constructivism and choice; nets and convergences. Algebra: elementary algebraic systems; concrete categories; the real numbers; linearity; convexity; boolean algebras; logic and intangibles. Topology and uniformity: toplogical spaces separation and regularity axioms; compactness; uniform spaces; metric and uniform completeness; Baire theory; positive measure and integration. Topological vector spaces: norms; normed operators; generalized Riemann integrals; Frechet derivatives; metrization of groups and vector spaces; barrels and other features of TVSs; duality and weak compactness; vector measures; initial value problems. Zusatzinfo references, index Sprache englisch Maße 200 x 242 mm Mathematik Informatik Mathematcs Mathe Informatiker Mathematische Analyse Analysis ISBN-10 0-12-622760-8 / 0126227608 ISBN-13 978-0-12-622760-4 / 9780126227604 In englischer Sprache. 883 pages. 24,2 x 19,8 x 4,6 cm.

Zustand: New. In.

Hardcover. Zustand: Brand New. 587 pages. 9.50x6.50x1.75 inches. In Stock.