Outlines theory and techniques of calculus, emphasizing strong understanding of concepts, and the basic principles of analysis. Reviews elementary and intermediate calculus and features discussions of elementary-point set theory, and properties of continuous functions.

Advanced Calculus

Science & Math

Taylor, Angus E.

Mathematics

wiley

Advanced Calculus - Ginn and Company

Blaisdell Publishing Company

Analyzes the theory of normed linear spaces and of linear mappings between such spaces, providing the necessary foundation for further study in many areas of analysis. Strives to generate an appreciation for the unifying power of the abstract linear-space point of view in surveying the problems of linear algebra, classical analysis, and differential and integral equations. This second edition incorporates recent developments in functional analysis to make the selection of topics more appropriate for current courses in functional analysis. Additions to this new edition include: a chapter on Banach algebras, and material on weak topologies and duality, equicontinuity, the Krein-Milman theorem, and the theory of Fredholm operators. Greater emphasis is also placed on closed unbounded linear operators, with more illustrations drawn from ordinary differential equations.

Introduction to Functional Analysis

LAY, David

Analyzes the theory of normed linear spaces and of linear mappings between such spaces, providing the necessary foundation for further study in many areas of analysis. Strives to generate an appreciation for the unifying power of the abstract linear-space point of view in surveying the problems of linear algebra, classical analysis, and differential and integral equations. This second edition incorporates recent developments in functional analysis to make the selection of topics more appropriate for current courses in functional analysis. Additions to this new edition include: a chapter on Banach algebras, and material on weak topologies and duality, equicontinuity, the Krein-Milman theorem, and the theory of Fredholm operators. Greater emphasis is also placed on closed unbounded linear operators, with more illustrations drawn from ordinary differential equations.

Krieger Pub. Co

This is a reprint of one of the standard basic college textbooks in Calculus and Analytic Geometry. It is here divided into two volumes. The first volume starts slowly, explaining basic concepts from algebra and geometry including lines, slopes, and curves. The second volume, which starts with Chapter X, reaches integration, differentiation, partial differentiation, Taylor's Series and the really hard stuff. There will be a few advanced students who may be able to skip the first volume entirely and start directly with Volume Two. Thus, in one two volume work, everything about Calculus is covered. Learn everything in this book, and you will not need to study calculus any more. In addition, Volume One could be used as an advanced high school textbook, as it starts with middle level algebra, geometry and trigonometry.

Calculus with Analytic Geometry by Angus E. Taylor Vol. 1

Ishi Press

General theory of functions and integration (A Blaisdell book in the pure and applied mathematics)

Blaisdell Publishing Co

Advanced Calculus 1ST Edition

Contributions to Functional Analysis English German and French Edition

Contributions to Functional Analysis

Landsberg, Max

Katō, Tosio

Yosida, Kösaku

Hildebrandt, Stefan

Ewald, Günter

Dunford, Nelson

Kelley, J. L.

Leray, Jean

Mallios, Anastasios

Bucy, R.S.

Naimark, M.A.

Klee, Victor

Browder, Felix E.

Dieudonne, Jean.

Cordes, H. O.

Krabbe, Gregers

Michael E.

Berens, Hubert

Butzer, P. L.

Fan, Ky

Heuser, Harro

König, Heinz

Zaanen, A.C.

Fullerton, R. E.

Braunschweiger, C. C.

Poulsen, Ebbe Thue

Kōmura, Takako

Kōmura, Yukio

Schaefer, Helmut H.

Nieto, Joseph

Luxemburg, W. A. J.

Cooper, J. L. B.

Maltese, G.

Garnir, H. G.

Riedrich, Thomas

Martineau, A.

Pták, Vlastimil

Koshi, Shozo

Leptin, Horst

Reiter, H.

Waelbroeck, L.

Aronszajn, N.

Szeptycki, P.

Arens, Richard

Bessaga, Czeslaw

Nakano, Hidegoro

Wloka, Joseph

Neubauer, Gerhard

Diaz, J. B.

Metcalf, F. T.

Thoma, Elmar

Gramsch, Bernhard

Reference

Springer

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