The Elements Of Cantor Sets PDF Download
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Author | : Robert W. Vallin |
Publisher | : John Wiley & Sons |
Total Pages | : 168 |
Release | : 2013-07-29 |
Genre | : Mathematics |
ISBN | : 1118407431 |
Download The Elements of Cantor Sets Book in PDF, ePub and Kindle
A systematic and integrated approach to Cantor Sets and their applications to various branches of mathematics The Elements of Cantor Sets: With Applications features a thorough introduction to Cantor Sets and applies these sets as a bridge between real analysis, probability, topology, and algebra. The author fills a gap in the current literature by providing an introductory and integrated perspective, thereby preparing readers for further study and building a deeper understanding of analysis, topology, set theory, number theory, and algebra. The Elements of Cantor Sets provides coverage of: Basic definitions and background theorems as well as comprehensive mathematical details A biography of Georg Ferdinand Ludwig Philipp Cantor, one of the most significant mathematicians of the last century Chapter coverage of fractals and self-similar sets, sums of Cantor Sets, the role of Cantor Sets in creating pathological functions, p-adic numbers, and several generalizations of Cantor Sets A wide spectrum of topics from measure theory to the Monty Hall Problem An ideal text for courses in real analysis, topology, algebra, and set theory for undergraduate and graduate-level courses within mathematics, computer science, engineering, and physics departments, The Elements of Cantor Sets is also appropriate as a useful reference for researchers and secondary mathematics education majors.
Author | : K. J. Falconer |
Publisher | : Cambridge University Press |
Total Pages | : 184 |
Release | : 1985 |
Genre | : Mathematics |
ISBN | : 9780521337052 |
Download The Geometry of Fractal Sets Book in PDF, ePub and Kindle
A mathematical study of the geometrical aspects of sets of both integral and fractional Hausdorff dimension. Considers questions of local density, the existence of tangents of such sets as well as the dimensional properties of their projections in various directions.
Author | : Georg Cantor |
Publisher | : |
Total Pages | : 236 |
Release | : 1915 |
Genre | : Arithmetic |
ISBN | : |
Download Contributions to the Founding of the Theory of Transfinite Numbers Book in PDF, ePub and Kindle
Author | : David D. Nolte |
Publisher | : Oxford University Press |
Total Pages | : 384 |
Release | : 2018-07-12 |
Genre | : Science |
ISBN | : 0192528505 |
Download Galileo Unbound Book in PDF, ePub and Kindle
Galileo Unbound traces the journey that brought us from Galileo's law of free fall to today's geneticists measuring evolutionary drift, entangled quantum particles moving among many worlds, and our lives as trajectories traversing a health space with thousands of dimensions. Remarkably, common themes persist that predict the evolution of species as readily as the orbits of planets or the collapse of stars into black holes. This book tells the history of spaces of expanding dimension and increasing abstraction and how they continue today to give new insight into the physics of complex systems. Galileo published the first modern law of motion, the Law of Fall, that was ideal and simple, laying the foundation upon which Newton built the first theory of dynamics. Early in the twentieth century, geometry became the cause of motion rather than the result when Einstein envisioned the fabric of space-time warped by mass and energy, forcing light rays to bend past the Sun. Possibly more radical was Feynman's dilemma of quantum particles taking all paths at once — setting the stage for the modern fields of quantum field theory and quantum computing. Yet as concepts of motion have evolved, one thing has remained constant, the need to track ever more complex changes and to capture their essence, to find patterns in the chaos as we try to predict and control our world.
Author | : Herbert B. Enderton |
Publisher | : Academic Press |
Total Pages | : 294 |
Release | : 1977-05-23 |
Genre | : Mathematics |
ISBN | : 0080570429 |
Download Elements of Set Theory Book in PDF, ePub and Kindle
This is an introductory undergraduate textbook in set theory. In mathematics these days, essentially everything is a set. Some knowledge of set theory is necessary part of the background everyone needs for further study of mathematics. It is also possible to study set theory for its own interest--it is a subject with intruiging results anout simple objects. This book starts with material that nobody can do without. There is no end to what can be learned of set theory, but here is a beginning.
Author | : Mary Tiles |
Publisher | : Courier Corporation |
Total Pages | : 258 |
Release | : 2012-03-08 |
Genre | : Mathematics |
ISBN | : 0486138550 |
Download The Philosophy of Set Theory Book in PDF, ePub and Kindle
DIVBeginning with perspectives on the finite universe and classes and Aristotelian logic, the author examines permutations, combinations, and infinite cardinalities; numbering the continuum; Cantor's transfinite paradise; axiomatic set theory, and more. /div
Author | : Paul J. Cohen |
Publisher | : Courier Corporation |
Total Pages | : 196 |
Release | : 2008-12-09 |
Genre | : Mathematics |
ISBN | : 0486469212 |
Download Set Theory and the Continuum Hypothesis Book in PDF, ePub and Kindle
This exploration of a notorious mathematical problem is the work of the man who discovered the solution. Written by an award-winning professor at Stanford University, it employs intuitive explanations as well as detailed mathematical proofs in a self-contained treatment. This unique text and reference is suitable for students and professionals. 1966 edition. Copyright renewed 1994.
Author | : Christopher J. Bishop |
Publisher | : Cambridge University Press |
Total Pages | : 415 |
Release | : 2017 |
Genre | : Mathematics |
ISBN | : 1107134110 |
Download Fractals in Probability and Analysis Book in PDF, ePub and Kindle
A mathematically rigorous introduction to fractals, emphasizing examples and fundamental ideas while minimizing technicalities.
Author | : Bernard R. Gelbaum |
Publisher | : Courier Corporation |
Total Pages | : 226 |
Release | : 2012-07-12 |
Genre | : Mathematics |
ISBN | : 0486134911 |
Download Counterexamples in Analysis Book in PDF, ePub and Kindle
These counterexamples deal mostly with the part of analysis known as "real variables." Covers the real number system, functions and limits, differentiation, Riemann integration, sequences, infinite series, functions of 2 variables, plane sets, more. 1962 edition.
Author | : F. William Lawvere |
Publisher | : Cambridge University Press |
Total Pages | : 280 |
Release | : 2003-01-27 |
Genre | : Mathematics |
ISBN | : 9780521010603 |
Download Sets for Mathematics Book in PDF, ePub and Kindle
In this book, first published in 2003, categorical algebra is used to build a foundation for the study of geometry, analysis, and algebra.