TwentyTwo Papers on Algebra, Number Theory and Differential Geometry
Author: M. S. Calenko
Publisher: American Mathematical Soc.
Published: 1964-12-31
Total Pages: 444
ISBN-13: 9780821896174
DOWNLOAD EBOOK →Author: M. S. Calenko
Publisher: American Mathematical Soc.
Published: 1964-12-31
Total Pages: 444
ISBN-13: 9780821896174
DOWNLOAD EBOOK →Author: M. S. Calenko
Publisher: American Mathematical Soc.
Published: 1964
Total Pages: 446
ISBN-13:
DOWNLOAD EBOOK →Author: M. Sh T︠S︡alenko
Publisher:
Published: 1964
Total Pages: 429
ISBN-13: 9781470432485
DOWNLOAD EBOOK →Author: Barry Simon
Publisher: American Mathematical Soc.
Published: 2015-11-02
Total Pages: 811
ISBN-13: 1470410990
DOWNLOAD EBOOK →A Comprehensive Course in Analysis by Poincaré Prize winner Barry Simon is a five-volume set that can serve as a graduate-level analysis textbook with a lot of additional bonus information, including hundreds of problems and numerous notes that extend the text and provide important historical background. Depth and breadth of exposition make this set a valuable reference source for almost all areas of classical analysis. Part 1 is devoted to real analysis. From one point of view, it presents the infinitesimal calculus of the twentieth century with the ultimate integral calculus (measure theory) and the ultimate differential calculus (distribution theory). From another, it shows the triumph of abstract spaces: topological spaces, Banach and Hilbert spaces, measure spaces, Riesz spaces, Polish spaces, locally convex spaces, Fréchet spaces, Schwartz space, and spaces. Finally it is the study of big techniques, including the Fourier series and transform, dual spaces, the Baire category, fixed point theorems, probability ideas, and Hausdorff dimension. Applications include the constructions of nowhere differentiable functions, Brownian motion, space-filling curves, solutions of the moment problem, Haar measure, and equilibrium measures in potential theory.
Author: Katsumi Nomizu
Publisher: American Mathematical Soc.
Published: 1994
Total Pages: 170
ISBN-13: 9780821875117
DOWNLOAD EBOOK →This book presents papers that originally appeared in the Japanese journal Sugaku. The papers explore the relationship between number theory, algebraic geometry, and differential geometry.
Author: Garret Sobczyk
Publisher: Springer Science & Business Media
Published: 2012-10-28
Total Pages: 373
ISBN-13: 0817683844
DOWNLOAD EBOOK →The first book of its kind, New Foundations in Mathematics: The Geometric Concept of Number uses geometric algebra to present an innovative approach to elementary and advanced mathematics. Geometric algebra offers a simple and robust means of expressing a wide range of ideas in mathematics, physics, and engineering. In particular, geometric algebra extends the real number system to include the concept of direction, which underpins much of modern mathematics and physics. Much of the material presented has been developed from undergraduate courses taught by the author over the years in linear algebra, theory of numbers, advanced calculus and vector calculus, numerical analysis, modern abstract algebra, and differential geometry. The principal aim of this book is to present these ideas in a freshly coherent and accessible manner. New Foundations in Mathematics will be of interest to undergraduate and graduate students of mathematics and physics who are looking for a unified treatment of many important geometric ideas arising in these subjects at all levels. The material can also serve as a supplemental textbook in some or all of the areas mentioned above and as a reference book for professionals who apply mathematics to engineering and computational areas of mathematics and physics.
Author: American Mathematical Society
Publisher:
Published: 1985
Total Pages: 142
ISBN-13:
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