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Author : Richard P. Feynman
Publisher : Addison-Wesley Longman
Page : 328 pages
File Size : 28,91 MB
Release : 1996-09-08
Category : Computers
ISBN :
Covering the theory of computation, information and communications, the physical aspects of computation, and the physical limits of computers, this text is based on the notes taken by one of its editors, Tony Hey, on a lecture course on computation given b
Author : Joel David Hamkins
Publisher : MIT Press
Page : 350 pages
File Size : 44,73 MB
Release : 2021-03-09
Category : Mathematics
ISBN : 0262542234
An introduction to the philosophy of mathematics grounded in mathematics and motivated by mathematical inquiry and practice. In this book, Joel David Hamkins offers an introduction to the philosophy of mathematics that is grounded in mathematics and motivated by mathematical inquiry and practice. He treats philosophical issues as they arise organically in mathematics, discussing such topics as platonism, realism, logicism, structuralism, formalism, infinity, and intuitionism in mathematical contexts. He organizes the book by mathematical themes--numbers, rigor, geometry, proof, computability, incompleteness, and set theory--that give rise again and again to philosophical considerations.
Author : Felix Klein
Publisher :
Page : 154 pages
File Size : 48,80 MB
Release : 1893
Category : Congresses and conventions
ISBN :
I. Clebsch.--II-III. Sophus Lie.--IV. On the real shape of algebraic curves and surfaces.--V. Theory of functions and geometry.--VI. On the mathematical character of space-intuition, and the relation of pure mathematics to the applied sciences.--VII. The transcendency of the numbers [Greek letter epsilon] and [Greek letter pi].--VII. Ideal numbers.--IX. The solution of higher algebraic equations.--X. On some recent advances in hyperelliptic and Abelian functions.--XI. The most recent researches in non-Euclidean geometry.--XII. The study of mathematics at Göttingen.--Appendix.
Author : D. B. Fuks
Publisher : American Mathematical Soc.
Page : 482 pages
File Size : 49,71 MB
Release : 2007
Category : Mathematics
ISBN : 0821843168
The book consists of thirty lectures on diverse topics, covering much of the mathematical landscape rather than focusing on one area. The reader will learn numerous results that often belong to neither the standard undergraduate nor graduate curriculum and will discover connections between classical and contemporary ideas in algebra, combinatorics, geometry, and topology. The reader's effort will be rewarded in seeing the harmony of each subject. The common thread in the selected subjects is their illustration of the unity and beauty of mathematics. Most lectures contain exercises, and solutions or answers are given to selected exercises. A special feature of the book is an abundance of drawings (more than four hundred), artwork by an accomplished artist, and about a hundred portraits of mathematicians. Almost every lecture contains surprises for even the seasoned researcher.
Author : Joseph Louis Lagrange
Publisher : Courier Corporation
Page : 178 pages
File Size : 35,6 MB
Release : 2012-08-29
Category : Mathematics
ISBN : 0486155021
One of the 18th century's greatest mathematicians delivered these lectures at a training school for teachers. An exemplar among elementary expositions, they combine original ideas and elegant expression. 1898 edition.
Author : Peter Gustav Lejeune Dirichlet
Publisher : American Mathematical Soc.
Page : 297 pages
File Size : 32,28 MB
Release : 1999
Category : Mathematics
ISBN : 0821820176
Lectures on Number Theory is the first of its kind on the subject matter. It covers most of the topics that are standard in a modern first course on number theory, but also includes Dirichlet's famous results on class numbers and primes in arithmetic progressions.
Author : L. D. Faddeev
Publisher : American Mathematical Soc.
Page : 250 pages
File Size : 46,97 MB
Release : 2009
Category : Science
ISBN : 082184699X
Describes the relation between classical and quantum mechanics. This book contains a discussion of problems related to group representation theory and to scattering theory. It intends to give a mathematically oriented student the opportunity to grasp the main points of quantum theory in a mathematical framework.
Author : Saunders MacLane
Publisher : Springer Science & Business Media
Page : 486 pages
File Size : 40,89 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1461248728
This book records my efforts over the past four years to capture in words a description of the form and function of Mathematics, as a background for the Philosophy of Mathematics. My efforts have been encouraged by lec tures that I have given at Heidelberg under the auspices of the Alexander von Humboldt Stiftung, at the University of Chicago, and at the University of Minnesota, the latter under the auspices of the Institute for Mathematics and Its Applications. Jean Benabou has carefully read the entire manuscript and has offered incisive comments. George Glauberman, Car los Kenig, Christopher Mulvey, R. Narasimhan, and Dieter Puppe have provided similar comments on chosen chapters. Fred Linton has pointed out places requiring a more exact choice of wording. Many conversations with George Mackey have given me important insights on the nature of Mathematics. I have had similar help from Alfred Aeppli, John Gray, Jay Goldman, Peter Johnstone, Bill Lawvere, and Roger Lyndon. Over the years, I have profited from discussions of general issues with my colleagues Felix Browder and Melvin Rothenberg. Ideas from Tammo Tom Dieck, Albrecht Dold, Richard Lashof, and Ib Madsen have assisted in my study of geometry. Jerry Bona and B.L. Foster have helped with my examina tion of mechanics. My observations about logic have been subject to con structive scrutiny by Gert Miiller, Marian Boykan Pour-El, Ted Slaman, R. Voreadou, Volker Weispfennig, and Hugh Woodin.
Author : Aleksandr Aleksandrovich Kirillov
Publisher : American Mathematical Soc.
Page : 434 pages
File Size : 33,89 MB
Release : 2004
Category : Mathematics
ISBN : 0821835300
Describes the essence of the orbit method for non-experts and gives a detailed exposition of the method. This work can be used as a text for a graduate course, as well as a handbook for non-experts and a reference book for research mathematicians and mathematical physicists.
Author : J. Aczel
Publisher : Courier Corporation
Page : 548 pages
File Size : 23,37 MB
Release : 2006-02-01
Category : Mathematics
ISBN : 0486445232
Numerous detailed proofs highlight this treatment of functional equations. Starting with equations that can be solved by simple substitutions, the book then moves to equations with several unknown functions and methods of reduction to differential and integral equations. Also includes composite equations, equations with several unknown functions of several variables, vector and matrix equations, more. 1966 edition.