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What is Mathematics

What is Mathematics Author Richard Courant
ISBN-10 0195105192
Release 1996
Pages 566
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A discussion of fundamental mathematical principles from algebra to elementary calculus designed to promote constructive mathematical reasoning.



What Is Mathematics

What Is Mathematics Author the late Richard Courant
ISBN-10 019975487X
Release 1996-07-18
Pages 592
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For more than two thousand years a familiarity with mathematics has been regarded as an indispensable part of the intellectual equipment of every cultured person. Today, unfortunately, the traditional place of mathematics in education is in grave danger. The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but does not lead to real understanding or to greater intellectual independence. This new edition of Richard Courant's and Herbert Robbins's classic work seeks to address this problem. Its goal is to put the meaning back into mathematics. Written for beginners and scholars, for students and teachers, for philosophers and engineers, What is Mathematics?, Second Edition is a sparkling collection of mathematical gems that offers an entertaining and accessible portrait of the mathematical world. Covering everything from natural numbers and the number system to geometrical constructions and projective geometry, from topology and calculus to matters of principle and the Continuum Hypothesis, this fascinating survey allows readers to delve into mathematics as an organic whole rather than an empty drill in problem solving. With chapters largely independent of one another and sections that lead upward from basic to more advanced discussions, readers can easily pick and choose areas of particular interest without impairing their understanding of subsequent parts. Brought up to date with a new chapter by Ian Stewart, What is Mathematics?, Second Edition offers new insights into recent mathematical developments and describes proofs of the Four-Color Theorem and Fermat's Last Theorem, problems that were still open when Courant and Robbins wrote this masterpiece, but ones that have since been solved. Formal mathematics is like spelling and grammar--a matter of the correct application of local rules. Meaningful mathematics is like journalism--it tells an interesting story. But unlike some journalism, the story has to be true. The best mathematics is like literature--it brings a story to life before your eyes and involves you in it, intellectually and emotionally. What is Mathematics is like a fine piece of literature--it opens a window onto the world of mathematics for anyone interested to view.



What is Mathematics

What is Mathematics Author Richard Courant
ISBN-10 9780195105193
Release 1996
Pages 566
Download Link Click Here

A discussion of fundamental mathematical principles from algebra to elementary calculus designed to promote constructive mathematical reasoning.



What is mathematics

What is mathematics Author Richard Courant
ISBN-10 UCSC:32106008914241
Release 1979-01-01
Pages 521
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A discussion of fundamental mathematical principles from algebra to elementary calculus designed to promote constructive mathematical reasoning



What is Mathematics

What is Mathematics Author Richard Courant
ISBN-10 LCCN:41025632
Release 1941
Pages 521
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What is Mathematics has been writing in one form or another for most of life. You can find so many inspiration from What is Mathematics also informative, and entertaining. Click DOWNLOAD or Read Online button to get full What is Mathematics book for free.



What is Mathematics

What is Mathematics Author Richard Courant
ISBN-10 OCLC:841407352
Release 1969
Pages 521
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What is Mathematics has been writing in one form or another for most of life. You can find so many inspiration from What is Mathematics also informative, and entertaining. Click DOWNLOAD or Read Online button to get full What is Mathematics book for free.



Introduction to Calculus and Analysis

Introduction to Calculus and Analysis Author Richard Courant
ISBN-10 3540665692
Release 1999-12-14
Pages 556
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Biography of Richard Courant Richard Courant was born in 1888 in a small town of what is now Poland, and died in New Rochelle, N.Y. in 1972. He received his doctorate from the legendary David Hilbert in Göttingen, where later he founded and directed its famed mathematics Institute, a Mecca for mathematicians in the twenties. In 1933 the Nazi government dismissed Courant for being Jewish, and he emigrated to the United States. He found, in New York, what he called "a reservoir of talent" to be tapped. He built, at New York University, a new mathematical Sciences Institute that shares the philosophy of its illustrious predecessor and rivals it in worldwide influence. For Courant mathematics was an adventure, with applications forming a vital part. This spirit is reflected in his books, in particular in his influential calculus text, revised in collaboration with his brilliant younger colleague, Fritz John. (P.D. Lax) Biography of Fritz John Fritz John was born on June 14, 1910, in Berlin. After his school years in Danzig (now Gdansk, Poland), he studied in Göttingen and received his doctorate in 1933, just when the Nazi regime came to power. As he was half-Jewish and his bride Aryan, he had to flee Germany in 1934. After a year in Cambridge, UK, he accepted a position at the University of Kentucky, and in 1946 joined Courant, Friedrichs and Stoker in building up New York University the institute that later became the Courant Institute of Mathematical Sciences. He remained there until his death in New Rochelle on February 10, 1994. John's research and the books he wrote had a strong impact on the development of many fields of mathematics, foremost in partial differential equations. He also worked on Radon transforms, illposed problems, convex geometry, numerical analysis, elasticity theory. In connection with his work in latter field, he and Nirenberg introduced the space of the BMO-functions (bounded mean oscillations). Fritz John's work exemplifies the unity of mathematics as well as its elegance and its beauty. (J. Moser)



What is Mathematics Really

What is Mathematics  Really Author Reuben Hersh
ISBN-10 0195130871
Release 1997
Pages 343
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Most philosophers of mathematics treat it as isolated, timeless, ahistorical, inhuman. Reuben Hersh argues the contrary, that mathematics must be understood as a human activity, a social phenomenon, part of human culture, historically evolved, and intelligible only in a social context. Hersh pulls the screen back to reveal mathematics as seen by professionals, debunking many mathematical myths, and demonstrating how the "humanist" idea of the nature of mathematics more closely resembles how mathematicians actually work. At the heart of his book is a fascinating historical account of the mainstream of philosophy--ranging from Pythagoras, Descartes, and Spinoza, to Bertrand Russell, David Hilbert, and Rudolph Carnap--followed by the mavericks who saw mathematics as a human artifact, including Aristotle, Locke, Hume, Mill, and Lakatos. What is Mathematics, Really? reflects an insider's view of mathematical life, and will be hotly debated by anyone with an interest in mathematics or the philosophy of science.



Concepts of Modern Mathematics

Concepts of Modern Mathematics Author Ian Stewart
ISBN-10 9780486134956
Release 2012-05-23
Pages 368
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In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations.



Mathematics

Mathematics Author A. D. Aleksandrov
ISBN-10 9780486157870
Release 2012-05-07
Pages 1120
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Major survey offers comprehensive, coherent discussions of analytic geometry, algebra, differential equations, calculus of variations, functions of a complex variable, prime numbers, linear and non-Euclidean geometry, topology, functional analysis, more. 1963 edition.



Nature s Numbers

Nature s Numbers Author Ian Stewart
ISBN-10 9780786723928
Release 2008-08-04
Pages 176
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States that the mental construct of mathematics can provide humankind with a key tool to understanding the world, and discusses the implications of basic math concepts



How to Prove It

How to Prove It Author Daniel J. Velleman
ISBN-10 9781139450973
Release 2006-01-16
Pages
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Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This new edition of Velleman's successful text will prepare students to make the transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. The author shows how complex proofs are built up from these smaller steps, using detailed 'scratch work' sections to expose the machinery of proofs about the natural numbers, relations, functions, and infinite sets. To give students the opportunity to construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. This book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and of course mathematicians.



Five golden rules

Five golden rules Author J. L. Casti
ISBN-10 UOM:39015034420987
Release 1996
Pages 235
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Praise for Five Golden Rules "Casti is one of the great science writers of the 1990s. . . . If you'd like to have fun while giving your brain a first-class workout, then check this book out."-Keay Davidson in the San Francisco Examiner. "Five Golden Rules is caviar for the inquiring reader. . . . There is joy here in watching the unfolding of these intricate and beautiful techniques. Casti's gift is to be able to let the nonmathematical reader share in his understanding of the beauty of a good theory." -Christian Science Monitor. "Merely knowing about the existence of some of these golden rules may spark new, interesting-maybe revolutionary-ideas in your mind." -Robert Matthews in New Scientist (United Kingdom). "This book has meat! It is solid fare, food for thought. Five Golden Rules makes math less forbidding and much more interesting." -Ben Bova in the Hartford Courant "With this groundbreaking work, John Casti shows himself to be a great mathematics writer. Five Golden Rules is a feast of rare new delights all made perfectly comprehensible." -Rudy Rucker, author of The Fourth Dimension. "With the lucid informality for which he has become known, John Casti has written an engaging and articulate examination of five great mathematical theorems and their myriad applications." -John Allen Paulos, author of A Mathematician Reads the Newspaper.



Mathematics and the Imagination

Mathematics and the Imagination Author Edward Kasner
ISBN-10 9780486320274
Release 2013-04-22
Pages 400
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With wit and clarity, the authors progress from simple arithmetic to calculus and non-Euclidean geometry. Their subjects: geometry, plane and fancy; puzzles that made mathematical history; tantalizing paradoxes; more. Includes 169 figures.



Mathematics

Mathematics Author Timothy Gowers
ISBN-10 1402768974
Release 2010-01
Pages 180
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Mathematics is a subject we are all exposed to in our daily lives, but one that many of us fear. Timothy Gowers’s entertaining overview of the topic explains the differences between what we learn at school and advanced mathematics, and helps the math phobic emerge with a clearer understanding of such paradoxical-sounding concepts as “infinity,” “curved space,” and “imaginary numbers.” From basic ideas to philosophical queries to common sociological questions about the mathematical community, this book unravels the mysteries of space and numbers.



Dirichlet s Principle Conformal Mapping and Minimal Surfaces

Dirichlet   s Principle  Conformal Mapping  and Minimal Surfaces Author R. Courant
ISBN-10 9781461299172
Release 2012-12-06
Pages 332
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Dirichlet s Principle Conformal Mapping and Minimal Surfaces has been writing in one form or another for most of life. You can find so many inspiration from Dirichlet s Principle Conformal Mapping and Minimal Surfaces also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Dirichlet s Principle Conformal Mapping and Minimal Surfaces book for free.



Basic Mathematics

Basic Mathematics Author Serge Lang
ISBN-10 9780387967875
Release 1998-09-01
Pages 496
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This text in basic mathematics is ideal for high school or college students. It provides a firm foundation in basic principles of mathematics and thereby acts as a springboard into calculus, linear algebra and other more advanced topics. The information is clearly presented, and the author develops concepts in such a manner to show how one subject matter can relate and evolve into another.