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Introduction To Analysis

Author: Maxwell Rosenlicht
Publisher: Courier Corporation
ISBN: 0486134687
Size: 53.42 MB
Format: PDF, Docs
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Written for junior and senior undergraduates, this remarkably clear and accessible treatment covers set theory, the real number system, metric spaces, continuous functions, Riemann integration, multiple integrals, and more. 1968 edition.

Introductory Real Analysis

Author: A. N. Kolmogorov
Publisher: Courier Corporation
ISBN: 0486134741
Size: 33.47 MB
Format: PDF
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Comprehensive, elementary introduction to real and functional analysis covers basic concepts and introductory principles in set theory, metric spaces, topological and linear spaces, linear functionals and linear operators, more. 1970 edition.

An Introduction To Mathematical Analysis

Author: Robert A. Rankin
Publisher: Courier Corporation
ISBN: 048646251X
Size: 29.32 MB
Format: PDF
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Dealing chiefly with functions of a single real variable, this text by a distinguished educator introduces limits, continuity, differentiability, integration, convergence of infinite series, double series, and infinite products. 1963 edition.

Introduction To Combinatorial Analysis

Author: John Riordan
Publisher: Courier Corporation
ISBN: 0486154408
Size: 24.62 MB
Format: PDF, ePub, Mobi
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Introductory text surveys the theory of permutations and combinations associated with elementary algebra; the principle of inclusion and exclusion; and the theory of distributions and partitions in cyclic representation. Includes problems. 1958 edition.

Introduction To Real Analysis

Author: Michael J. Schramm
Publisher: Courier Corporation
ISBN: 0486131920
Size: 26.89 MB
Format: PDF
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This text forms a bridge between courses in calculus and real analysis. Suitable for advanced undergraduates and graduate students, it focuses on the construction of mathematical proofs. 1996 edition.

Foundations Of Mathematical Analysis

Author: Richard Johnsonbaugh
Publisher: Courier Corporation
ISBN: 0486134776
Size: 62.39 MB
Format: PDF, ePub, Mobi
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Definitive look at modern analysis, with views of applications to statistics, numerical analysis, Fourier series, differential equations, mathematical analysis, and functional analysis. More than 750 exercises; some hints and solutions. 1981 edition.

Introduction To Abstract Harmonic Analysis

Author: Lynn H. Loomis
Publisher: Courier Corporation
ISBN: 0486282317
Size: 55.47 MB
Format: PDF, ePub
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Written by a prominent figure in the field of harmonic analysis, this classic monograph is geared toward advanced undergraduates and graduate students and focuses on methods related to Gelfand's theory of Banach algebra. 1953 edition.

Real Analysis

Author: Edward James McShane
Publisher: Courier Corporation
ISBN: 0486165671
Size: 57.36 MB
Format: PDF, Mobi
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This text surveys practical elements of real function theory, general topology, and functional analysis. Discusses the maximality principle, the notion of convergence, the Lebesgue-Stieltjes integral, function spaces and harmonic analysis. Includes exercises. 1959 edition.

Analysis In Euclidean Space

Author: Kenneth Hoffman
Publisher: Courier Corporation
ISBN: 0486135845
Size: 54.85 MB
Format: PDF, Kindle
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Developed for a beginning course in mathematical analysis, this text focuses on concepts, principles, and methods, offering introductions to real and complex analysis and complex function theory. 1975 edition.

Mathematical Analysis

Author: Andrew Browder
Publisher: Springer Science & Business Media
ISBN: 1461207150
Size: 66.73 MB
Format: PDF
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Among the traditional purposes of such an introductory course is the training of a student in the conventions of pure mathematics: acquiring a feeling for what is considered a proof, and supplying literate written arguments to support mathematical propositions. To this extent, more than one proof is included for a theorem - where this is considered beneficial - so as to stimulate the students' reasoning for alternate approaches and ideas. The second half of this book, and consequently the second semester, covers differentiation and integration, as well as the connection between these concepts, as displayed in the general theorem of Stokes. Also included are some beautiful applications of this theory, such as Brouwer's fixed point theorem, and the Dirichlet principle for harmonic functions. Throughout, reference is made to earlier sections, so as to reinforce the main ideas by repetition. Unique in its applications to some topics not usually covered at this level.