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Theory Of Functions Parts I And Ii

Author: Konrad Knopp
Publisher: Courier Corporation
ISBN: 0486318702
Size: 34.98 MB
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Handy one-volume edition. Part I considers general foundations of theory of functions; Part II stresses special and characteristic functions. Proofs given in detail. Introduction. Bibliographies.

Topology

Author: John G. Hocking
Publisher: Courier Corporation
ISBN: 0486141098
Size: 19.28 MB
Format: PDF, Kindle
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Superb one-year course in classical topology. Topological spaces and functions, point-set topology, much more. Examples and problems. Bibliography. Index.

Theory And Application Of Infinite Series

Author: Konrad Knopp
Publisher: Courier Corporation
ISBN: 0486318613
Size: 59.29 MB
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Unusually clear and interesting classic covers real numbers and sequences, foundations of the theory of infinite series and development of the theory (series of valuable terms, Euler's summation formula, asymptotic expansions, other topics). Includes exercises.

A First Course In Fourier Analysis

Author: David W. Kammler
Publisher: Cambridge University Press
ISBN: 1139469037
Size: 12.91 MB
Format: PDF, Docs
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This book provides a meaningful resource for applied mathematics through Fourier analysis. It develops a unified theory of discrete and continuous (univariate) Fourier analysis, the fast Fourier transform, and a powerful elementary theory of generalized functions and shows how these mathematical ideas can be used to study sampling theory, PDEs, probability, diffraction, musical tones, and wavelets. The book contains an unusually complete presentation of the Fourier transform calculus. It uses concepts from calculus to present an elementary theory of generalized functions. FT calculus and generalized functions are then used to study the wave equation, diffusion equation, and diffraction equation. Real-world applications of Fourier analysis are described in the chapter on musical tones. A valuable reference on Fourier analysis for a variety of students and scientific professionals, including mathematicians, physicists, chemists, geologists, electrical engineers, mechanical engineers, and others.

A Royal Road To Algebraic Geometry

Author: Audun Holme
Publisher: Springer Science & Business Media
ISBN: 9783642192258
Size: 64.99 MB
Format: PDF, Mobi
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This book is about modern algebraic geometry. The title A Royal Road to Algebraic Geometry is inspired by the famous anecdote about the king asking Euclid if there really existed no simpler way for learning geometry, than to read all of his work Elements. Euclid is said to have answered: “There is no royal road to geometry!” The book starts by explaining this enigmatic answer, the aim of the book being to argue that indeed, in some sense there is a royal road to algebraic geometry. From a point of departure in algebraic curves, the exposition moves on to the present shape of the field, culminating with Alexander Grothendieck’s theory of schemes. Contemporary homological tools are explained. The reader will follow a directed path leading up to the main elements of modern algebraic geometry. When the road is completed, the reader is empowered to start navigating in this immense field, and to open up the door to a wonderful field of research. The greatest scientific experience of a lifetime!

Infinite Sequences And Series

Author: Konrad Knopp
Publisher: Courier Corporation
ISBN: 0486152049
Size: 33.95 MB
Format: PDF, ePub, Docs
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Careful presentation of fundamentals of the theory by one of the finest modern expositors of higher mathematics. Covers functions of real and complex variables, arbitrary and null sequences, convergence and divergence, Cauchy's limit theorem, more.