measure topology and fractal geometry undergraduate texts in mathematics

Download Book Measure Topology And Fractal Geometry Undergraduate Texts In Mathematics in PDF format. You can Read Online Measure Topology And Fractal Geometry Undergraduate Texts In Mathematics here in PDF, EPUB, Mobi or Docx formats.

Measure Topology And Fractal Geometry

Author : Gerald Edgar
ISBN : 9780387747491
Genre : Mathematics
File Size : 90. 34 MB
Format : PDF, ePub
Download : 571
Read : 635

Download Now


Based on a course given to talented high-school students at Ohio University in 1988, this book is essentially an advanced undergraduate textbook about the mathematics of fractal geometry. It nicely bridges the gap between traditional books on topology/analysis and more specialized treatises on fractal geometry. The book treats such topics as metric spaces, measure theory, dimension theory, and even some algebraic topology. It takes into account developments in the subject matter since 1990. Sections are clear and focused. The book contains plenty of examples, exercises, and good illustrations of fractals, including 16 color plates.

Measure Topology And Fractal Geometry

Author : Gerald A. Edgar
ISBN : 9781475741346
Genre : Mathematics
File Size : 69. 14 MB
Format : PDF, ePub
Download : 132
Read : 1081

Download Now


From the reviews: "In the world of mathematics, the 1980's might well be described as the "decade of the fractal". Starting with Benoit Mandelbrot's remarkable text The Fractal Geometry of Nature, there has been a deluge of books, articles and television programmes about the beautiful mathematical objects, drawn by computers using recursive or iterative algorithms, which Mandelbrot christened fractals. Gerald Edgar's book is a significant addition to this deluge. Based on a course given to talented high- school students at Ohio University in 1988, it is, in fact, an advanced undergraduate textbook about the mathematics of fractal geometry, treating such topics as metric spaces, measure theory, dimension theory, and even some algebraic topology. However, the book also contains many good illustrations of fractals (including 16 color plates), together with Logo programs which were used to generate them. ... Here then, at last, is an answer to the question on the lips of so many: 'What exactly is a fractal?' I do not expect many of this book's readers to achieve a mature understanding of this answer to the question, but anyone interested in finding out about the mathematics of fractal geometry could not choose a better place to start looking." #Mathematics Teaching#1

Fractal Geometry And Stochastics Ii

Author : Christoph Bandt
ISBN : 9783034883801
Genre : Mathematics
File Size : 39. 91 MB
Format : PDF, Kindle
Download : 208
Read : 583

Download Now


A collection of contributions by outstanding mathematicians, highlighting the principal directions of research on the combination of fractal geometry and stochastic methods. Clear expositions introduce the most recent results and problems on these subjects and give an overview of their historical development.

A Guide To The Classification Theorem For Compact Surfaces

Author : Jean Gallier
ISBN : 9783642343643
Genre : Mathematics
File Size : 46. 57 MB
Format : PDF, Mobi
Download : 394
Read : 229

Download Now


This welcome boon for students of algebraic topology cuts a much-needed central path between other texts whose treatment of the classification theorem for compact surfaces is either too formalized and complex for those without detailed background knowledge, or too informal to afford students a comprehensive insight into the subject. Its dedicated, student-centred approach details a near-complete proof of this theorem, widely admired for its efficacy and formal beauty. The authors present the technical tools needed to deploy the method effectively as well as demonstrating their use in a clearly structured, worked example. Ideal for students whose mastery of algebraic topology may be a work-in-progress, the text introduces key notions such as fundamental groups, homology groups, and the Euler-Poincaré characteristic. These prerequisites are the subject of detailed appendices that enable focused, discrete learning where it is required, without interrupting the carefully planned structure of the core exposition. Gently guiding readers through the principles, theory, and applications of the classification theorem, the authors aim to foster genuine confidence in its use and in so doing encourage readers to move on to a deeper exploration of the versatile and valuable techniques available in algebraic topology.

Calculus Of Several Variables

Author : Serge Lang
ISBN : 9781461210689
Genre : Mathematics
File Size : 54. 87 MB
Format : PDF, Docs
Download : 760
Read : 1177

Download Now


This new, revised edition covers all of the basic topics in calculus of several variables, including vectors, curves, functions of several variables, gradient, tangent plane, maxima and minima, potential functions, curve integrals, Green’s theorem, multiple integrals, surface integrals, Stokes’ theorem, and the inverse mapping theorem and its consequences. It includes many completely worked-out problems.

Fractal Geometry And Stochastics

Author : Christoph Bandt
ISBN : UOM:39015049093290
Genre : Fractals
File Size : 71. 32 MB
Format : PDF
Download : 370
Read : 438

Download Now



Bulletin New Series Of The American Mathematical Society

Author :
ISBN : UCSD:31822022799852
Genre : Mathematics
File Size : 88. 48 MB
Format : PDF, ePub
Download : 831
Read : 486

Download Now



Computing The Continuous Discretely

Author : Matthias Beck
ISBN : 9780387461120
Genre : Mathematics
File Size : 64. 33 MB
Format : PDF, ePub, Mobi
Download : 882
Read : 212

Download Now


This textbook illuminates the field of discrete mathematics with examples, theory, and applications of the discrete volume of a polytope. The authors have weaved a unifying thread through basic yet deep ideas in discrete geometry, combinatorics, and number theory. We encounter here a friendly invitation to the field of "counting integer points in polytopes", and its various connections to elementary finite Fourier analysis, generating functions, the Frobenius coin-exchange problem, solid angles, magic squares, Dedekind sums, computational geometry, and more. With 250 exercises and open problems, the reader feels like an active participant.

Introduction To Calculus And Classical Analysis

Author : Omar Hijab
ISBN : 9780387693163
Genre : Mathematics
File Size : 81. 5 MB
Format : PDF, Docs
Download : 141
Read : 572

Download Now


Intended for an honors calculus course or for an introduction to analysis, this is an ideal text for undergraduate majors since it covers rigorous analysis, computational dexterity, and a breadth of applications. The book contains many remarkable features: * complete avoidance of /epsilon-/delta arguments by using sequences instead * definition of the integral as the area under the graph, while area is defined for every subset of the plane * complete avoidance of complex numbers * heavy emphasis on computational problems * applications from many parts of analysis, e.g. convex conjugates, Cantor set, continued fractions, Bessel functions, the zeta functions, and many more * 344 problems with solutions in the back of the book.

Journal Of The Mathematical Society Of Japan

Author :
ISBN : UOM:39015038969617
Genre : Mathematics
File Size : 41. 8 MB
Format : PDF, ePub, Mobi
Download : 348
Read : 890

Download Now



Top Download:

Best Books