Mind Tools

Mind Tools

Author: Rudy Rucker

Publisher: Courier Corporation

Published: 2013-11-21

Total Pages: 337

ISBN-13: 0486492281

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Originally published: Boston: Houghton Mifflin, 1987.


A Mathematical Gift, III

A Mathematical Gift, III

Author: Koji Shiga

Publisher: American Mathematical Society

Published: 2005-07-18

Total Pages: 148

ISBN-13: 9780821832844

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This book brings the beauty and fun of mathematics to the classroom. It offers serious mathematics in a lively, reader-friendly style. Included are exercises and many figures illustrating the main concepts. The first chapter talks about the theory of manifolds. It includes discussion of smoothness, differentiability, and analyticity, the idea of local coordinates and coordinate transformation, and a detailed explanation of the Whitney imbedding theorem (both in weak and in strong form).The second chapter discusses the notion of the area of a figure on the plane and the volume of a solid body in space. It includes the proof of the Bolyai-Gerwien theorem about scissors-congruent polynomials and Dehn's solution of the Third Hilbert Problem. This is the third volume originating from a series of lectures given at Kyoto University (Japan). It is suitable for classroom use for high school mathematics teachers and for undergraduate mathematics courses in the sciences and liberal arts. The first and second volumes are available as Volume 19 and Volume 20 in the AMS series, ""Mathematical World"".


What's Happening in the Mathematical Sciences

What's Happening in the Mathematical Sciences

Author: Barry Cipra

Publisher: American Mathematical Soc.

Published:

Total Pages: 108

ISBN-13: 9780821890431

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Mathematicians like to point out that mathematics is universal. In spite of this, most people continue to view it as either mundane (balancing a checkbook) or mysterious (cryptography). This fifth volume of the What's Happening series contradicts that view by showing that mathematics is indeed found everywhere-in science, art, history, and our everyday lives. Here is some of what you'll find in this volume: Mathematics and Science Mathematical biology: Mathematics was key tocracking the genetic code. Now, new mathematics is needed to understand the three-dimensional structure of the proteins produced from that code. Celestial mechanics and cosmology: New methods have revealed a multitude of solutions to the three-body problem. And other new work may answer one of cosmology'smost fundamental questions: What is the size and shape of the universe? Mathematics and Everyday Life Traffic jams: New models are helping researchers understand where traffic jams come from-and maybe what to do about them! Small worlds: Researchers have found a short distance from theory to applications in the study of small world networks. Elegance in Mathematics Beyond Fermat's Last Theorem: Number theorists are reaching higher ground after Wiles' astounding 1994 proof: new developments inthe elegant world of elliptic curves and modular functions. The Millennium Prize Problems: The Clay Mathematics Institute has offered a million dollars for solutions to seven important and difficult unsolved problems. These are just some of the topics of current interest that are covered in thislatest volume of What's Happening in the Mathematical Sciences. The book has broad appeal for a wide spectrum of mathematicians and scientists, from high school students through advanced-level graduates and researchers.


QED

QED

Author: Richard P. Feynman

Publisher: Princeton University Press

Published: 2014-10-26

Total Pages: 193

ISBN-13: 140084746X

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Feynman’s bestselling introduction to the mind-blowing physics of QED—presented with humor, not mathematics Celebrated for his brilliantly quirky insights into the physical world, Nobel laureate Richard Feynman also possessed an extraordinary talent for explaining difficult concepts to the public. In this extraordinary book, Feynman provides a lively and accessible introduction to QED, or quantum electrodynamics, an area of quantum field theory that describes the interactions of light with charged particles. Using everyday language, spatial concepts, visualizations, and his renowned Feynman diagrams instead of advanced mathematics, Feynman clearly and humorously communicates the substance and spirit of QED to the nonscientist. With an incisive introduction by A. Zee that places Feynman’s contribution to QED in historical context and highlights Feynman’s uniquely appealing and illuminating style, this Princeton Science Library edition of QED makes Feynman’s legendary talks on quantum electrodynamics available to a new generation of readers.


Gravitation and Spacetime

Gravitation and Spacetime

Author: Hans C. Ohanian

Publisher: Cambridge University Press

Published: 2013-04-08

Total Pages: 545

ISBN-13: 1107012945

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This text provides a quantitative introduction to general relativity for advanced undergraduate and graduate students.


Timelines of Nearly Everything

Timelines of Nearly Everything

Author: Manjunath.R

Publisher: Manjunath.R

Published: 2021-07-03

Total Pages: 2658

ISBN-13:

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This book takes readers back and forth through time and makes the past accessible to all families, students and the general reader and is an unprecedented collection of a list of events in chronological order and a wealth of informative knowledge about the rise and fall of empires, major scientific breakthroughs, groundbreaking inventions, and monumental moments about everything that has ever happened.


Spinors In Physics And Geometry

Spinors In Physics And Geometry

Author: Giuseppe Furlan

Publisher: World Scientific

Published: 1988-11-01

Total Pages: 368

ISBN-13: 9814644447

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This conference brought together physicists and mathematicians working on spinors, which have played an important role in recent research on supersymmetry, Kaluza-Klein theories, twistors and general relativity.