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Author: Hermann Weyl
Publisher: Courier Corporation
Published: 2013-09-26
Total Pages: 208
ISBN-13: 0486266931
DOWNLOAD EBOOK →Original anthology features less-technical essays discussing logic, topology, abstract algebra, relativity theory, and the works of David Hilbert. Most have been long unavailable or previously unpublished in book form. 2012 edition.
Author: Rudy Rucker
Publisher: Princeton University Press
Published: 2019-07-23
Total Pages:
ISBN-13: 0691191255
DOWNLOAD EBOOK →A dynamic exploration of infinity In Infinity and the Mind, Rudy Rucker leads an excursion to that stretch of the universe he calls the “Mindscape,” where he explores infinity in all its forms: potential and actual, mathematical and physical, theological and mundane. Using cartoons, puzzles, and quotations to enliven his text, Rucker acquaints us with staggeringly advanced levels of infinity, delves into the depths beneath daily awareness, and explains Kurt Gödel’s belief in the possibility of robot consciousness. In the realm of infinity, mathematics, science, and logic merge with the fantastic. By closely examining the paradoxes that arise, we gain profound insights into the human mind, its powers, and its limitations. This Princeton Science Library edition includes a new preface by the author.
Author: Rudy Rucker
Publisher: Courier Corporation
Published: 2013-11-21
Total Pages: 337
ISBN-13: 0486492281
DOWNLOAD EBOOK →Originally published: Boston: Houghton Mifflin, 1987.
Author: Steven Strogatz
Publisher: Eamon Dolan Books
Published: 2019
Total Pages: 389
ISBN-13: 1328879984
DOWNLOAD EBOOK →From preeminent math personality and author of The Joy of x, a brilliant and endlessly appealing explanation of calculus - how it works and why it makes our lives immeasurably better. Without calculus, we wouldn't have cell phones, TV, GPS, or ultrasound. We wouldn't have unraveled DNA or discovered Neptune or figured out how to put 5,000 songs in your pocket. Though many of us were scared away from this essential, engrossing subject in high school and college, Steven Strogatz's brilliantly creative, down‑to‑earth history shows that calculus is not about complexity; it's about simplicity. It harnesses an unreal number--infinity--to tackle real‑world problems, breaking them down into easier ones and then reassembling the answers into solutions that feel miraculous. Infinite Powers recounts how calculus tantalized and thrilled its inventors, starting with its first glimmers in ancient Greece and bringing us right up to the discovery of gravitational waves (a phenomenon predicted by calculus). Strogatz reveals how this form of math rose to the challenges of each age: how to determine the area of a circle with only sand and a stick; how to explain why Mars goes "backwards" sometimes; how to make electricity with magnets; how to ensure your rocket doesn't miss the moon; how to turn the tide in the fight against AIDS. As Strogatz proves, calculus is truly the language of the universe. By unveiling the principles of that language, Infinite Powers makes us marvel at the world anew.
Author: Rozsa Peter
Publisher:
Published: 1986-01
Total Pages:
ISBN-13: 9780844652351
DOWNLOAD EBOOK →Popular account ranges from counting to mathematical logic and covers many concepts related to infinity: graphic representation of functions; pairings, other combinations; prime numbers; logarithms, circular functions; more. 216 illustrations.
Author: Hermann Weyl
Publisher: Courier Corporation
Published: 2012-01-01
Total Pages: 258
ISBN-13: 0486489035
DOWNLOAD EBOOK →This original anthology collects 10 of Weyl's less-technical writings that address the broader scope and implications of mathematics. Most have been long unavailable or not previously published in book form. Subjects include logic, topology, abstract algebra, relativity theory, and reflections on the work of Weyl's mentor, David Hilbert. 2012 edition.
Author: Ivan Penkov
Publisher: Springer Nature
Published: 2022-01-05
Total Pages: 245
ISBN-13: 3030896609
DOWNLOAD EBOOK →Originating from graduate topics courses given by the first author, this book functions as a unique text-monograph hybrid that bridges a traditional graduate course to research level representation theory. The exposition includes an introduction to the subject, some highlights of the theory and recent results in the field, and is therefore appropriate for advanced graduate students entering the field as well as research mathematicians wishing to expand their knowledge. The mathematical background required varies from chapter to chapter, but a standard course on Lie algebras and their representations, along with some knowledge of homological algebra, is necessary. Basic algebraic geometry and sheaf cohomology are needed for Chapter 10. Exercises of various levels of difficulty are interlaced throughout the text to add depth to topical comprehension. The unifying theme of this book is the structure and representation theory of infinite-dimensional locally reductive Lie algebras and superalgebras. Chapters 1-6 are foundational; each of the last 4 chapters presents a self-contained study of a specialized topic within the larger field. Lie superalgebras and flag supermanifolds are discussed in Chapters 3, 7, and 10, and may be skipped by the reader.
Author: Richard Evan Schwartz
Publisher: American Mathematical Soc.
Published: 2018
Total Pages: 178
ISBN-13: 1470447363
DOWNLOAD EBOOK →Mathematics professor from Brown University uses colorful illustrations and cartoons to display the concepts of infinity and large numbers.
Author: Kjartan Poskitt
Publisher: Mission Math
Published: 2017-08
Total Pages: 25
ISBN-13: 1682971880
DOWNLOAD EBOOK →Can you get to grip with numbers and Escape from Hotel Infinity? Finding the answers enables readers to advance through the story, learning more about maths with every step they take. Clues are dotted along the way, and wrong turns will direct readers towards the right answer.
Author: N.Ya. Vilenkin
Publisher: Springer Science & Business Media
Published: 2013-06-29
Total Pages: 151
ISBN-13: 1461208378
DOWNLOAD EBOOK →The concept of infinity is one of the most important, and at the same time, one of the most mysterious concepts of science. Already in antiquity many philosophers and mathematicians pondered over its contradictory nature. In mathematics, the contradictions connected with infinity intensified after the creation, at the end of the 19th century, of the theory of infinite sets and the subsequent discovery, soon after, of paradoxes in this theory. At the time, many scientists ignored the paradoxes and used set theory extensively in their work, while others subjected set-theoretic methods in mathematics to harsh criticism. The debate intensified when a group of French mathematicians, who wrote under the pseudonym of Nicolas Bourbaki, tried to erect the whole edifice of mathematics on the single notion of a set. Some mathematicians greeted this attempt enthusiastically while others regarded it as an unnecessary formalization, an attempt to tear mathematics away from life-giving practical applications that sustain it. These differences notwithstanding, Bourbaki has had a significant influence on the evolution of mathematics in the twentieth century. In this book we try to tell the reader how the idea of the infinite arose and developed in physics and in mathematics, how the theory of infinite sets was constructed, what paradoxes it has led to, what significant efforts have been made to eliminate the resulting contradictions, and what routes scientists are trying to find that would provide a way out of the many difficulties.
