Mathematics: Its Content, Methods and Meaning (3 Volumes in One)

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9780486409160: Mathematics: Its Content, Methods and Meaning (3 Volumes in One)

". . . Nothing less than a major contribution to the scientific culture of this world." — The New York Times Book Review
This major survey of mathematics, featuring the work of 18 outstanding Russian mathematicians and including material on both elementary and advanced levels, encompasses 20 prime subject areas in mathematics in terms of their simple origins and their subsequent sophisticated developement. As Professor Morris Kline of  New York University noted, "This unique work presents the amazing panorama of  mathematics proper. It is the best answer in print to what mathematics contains both on the elementary and advanced levels."
Beginning with an overview and analysis of mathematics, the first of three major divisions of the book progresses to an exploration of analytic geometry, algebra, and ordinary differential equations. The second part introduces partial differential equations, along with theories of curves and surfaces, the calculus of variations, and functions of a complex variable. It furthur examines prime numbers, the theory of probability, approximations, and the role of computers in mathematics. The theory of functions of a real variable opens the final section, followed by discussions of linear algebra and nonEuclidian geometry, topology, functional  analysis, and groups and other algebraic systems.
Thorough, coherent explanations of each topic are further augumented by numerous illustrative figures, and every chapter concludes with a suggested reading list. Formerly issued as a three-volume set, this mathematical masterpiece is now available in a convenient and modestly priced one-volume edition, perfect for study or reference.
"This is a masterful English translation of a stupendous and formidable mathematical masterpiece . . ." — Social Science

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About the Author:

The Russian Equation
Representative of the tremendous impact which Russian mathematicians have had on the Dover list since the Sputnik era is this outstanding book edited by A. D. Aleksandrov and others.

Critical Acclaim for Mathematics: Its Content, Methods and Meaning:
"In effect, these volumes present a do-it-yourself course for the person who would like to know what the chief fields of modern mathematics are all about but who does not aspire to be a professional mathematician or a professional user of mathematics. The coverage is extremely wide, including such important areas as linear algebra, group theory, functional analysis, ordinary and partial differential equations, the theory of functions of real and complex variables, and related subjects. . . . What makes these volumes so readable as compared with usual mathematics textbooks is the emphasis here upon basic concepts and results rather than upon the intricate and wearying proofs that make such demands in conventional textbooks and courses. There are proofs in these volumes, but usually they are presented only for the most important results, and even then to emphasize key areas and to illustrate the kind of methodology employed. . . . It is hard to imagine that any intelligent American with a curious mind and some good recollection of his high school and college mathematics would not find many entrancing discoveries in the intellectual gold mine that is this work." — The New York Times Book Review

"An excellent reference set for bright high school students and beginning college students . . . also of value to their teachers for lucid discussions and many good elementary examples in both familiar and unfamiliar branches. The intelligentsia of laymen who care to tackle more than today's popular magazine articles on mathematics will find many rewarding introductions to subjects of current interest." — The Mathematics Teacher

"Whether a physicist wishes to know what a Lie algebra is or how it is related to a Lie group, or an undergraduate would like to begin the study of homology, or a crystallographer is interested in Fedorov groups, or an engineer in probability, or any scientist in computing machines, he will find here a connected, lucid account." — Science

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Aleksandrov, A. D.
ISBN 10: 0486409163 ISBN 13: 9780486409160
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Descrizione libro 1999. PAP. Condizione libro: New. New Book. Shipped from US within 10 to 14 business days. Established seller since 2000. Codice libro della libreria V0-9780486409160

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Descrizione libro Dover Publishers. Condizione libro: New. Brand New. Codice libro della libreria 0486409163

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Descrizione libro 1999. PAP. Condizione libro: New. New Book.Shipped from US within 10 to 14 business days. Established seller since 2000. Codice libro della libreria IB-9780486409160

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A. D. Aleksandrov, A. N. Kolmogorov, M. A. Lavrent ev
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Descrizione libro Dover Publications Inc., United States, 2003. Paperback. Condizione libro: New. Language: English . Brand New Book. . . . Nothing less than a major contribution to the scientific culture of this world. -- The New York Times Book Review This major survey of mathematics, featuring the work of 18 outstanding Russian mathematicians and including material on both elementary and advanced levels, encompasses 20 prime subject areas in mathematics in terms of their simple origins and their subsequent sophisticated developement. As Professor Morris Kline of New York University noted, This unique work presents the amazing panorama of mathematics proper. It is the best answer in print to what mathematics contains both on the elementary and advanced levels. Beginning with an overview and analysis of mathematics, the first of three major divisions of the book progresses to an exploration of analytic geometry, algebra, and ordinary differential equations. The second part introduces partial differential equations, along with theories of curves and surfaces, the calculus of variations, and functions of a complex variable. It furthur examines prime numbers, the theory of probability, approximations, and the role of computers in mathematics. The theory of functions of a real variable opens the final section, followed by discussions of linear algebra and nonEuclidian geometry, topology, functional analysis, and groups and other algebraic systems. Thorough, coherent explanations of each topic are further augumented by numerous illustrative figures, and every chapter concludes with a suggested reading list. Formerly issued as a three-volume set, this mathematical masterpiece is now available in a convenient and modestly priced one-volume edition, perfect for study or reference. This is a masterful English translation of a stupendous and formidable mathematical masterpiece . . . -- Social Science. Codice libro della libreria AA99780486409160

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A. D. Aleksandrov, A. N. Kolmogorov, M. A. Lavrent ev
Editore: Dover Publications Inc., United States (2003)
ISBN 10: 0486409163 ISBN 13: 9780486409160
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Descrizione libro Dover Publications Inc., United States, 2003. Paperback. Condizione libro: New. Language: English . Brand New Book. . . . Nothing less than a major contribution to the scientific culture of this world. -- The New York Times Book Review This major survey of mathematics, featuring the work of 18 outstanding Russian mathematicians and including material on both elementary and advanced levels, encompasses 20 prime subject areas in mathematics in terms of their simple origins and their subsequent sophisticated developement. As Professor Morris Kline of New York University noted, This unique work presents the amazing panorama of mathematics proper. It is the best answer in print to what mathematics contains both on the elementary and advanced levels. Beginning with an overview and analysis of mathematics, the first of three major divisions of the book progresses to an exploration of analytic geometry, algebra, and ordinary differential equations. The second part introduces partial differential equations, along with theories of curves and surfaces, the calculus of variations, and functions of a complex variable. It furthur examines prime numbers, the theory of probability, approximations, and the role of computers in mathematics. The theory of functions of a real variable opens the final section, followed by discussions of linear algebra and nonEuclidian geometry, topology, functional analysis, and groups and other algebraic systems. Thorough, coherent explanations of each topic are further augumented by numerous illustrative figures, and every chapter concludes with a suggested reading list. Formerly issued as a three-volume set, this mathematical masterpiece is now available in a convenient and modestly priced one-volume edition, perfect for study or reference. This is a masterful English translation of a stupendous and formidable mathematical masterpiece . . . -- Social Science. Codice libro della libreria AA99780486409160

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Aleksandrov, A. D.; Kolmogorov, A. N.; Lavrent’ev, M. A.; Mathematics
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Descrizione libro Dover Publications. PAPERBACK. Condizione libro: New. 0486409163 *BRAND NEW* Ships Same Day or Next!. Codice libro della libreria NATARAJB1FI1001843

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Descrizione libro Dover Publications 7/7/1999, 1999. Paperback or Softback. Condizione libro: New. Mathematics: Its Content, Methods and Meaning. Book. Codice libro della libreria BBS-9780486409160

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Descrizione libro Dover Publications Inc., 1999. Condizione libro: New. Series: Dover Books on Mathematics. Num Pages: 1120 pages, Illustrations. BIC Classification: PB; PD. Category: (G) General (US: Trade); (UU) Undergraduate. Dimension: 219 x 179 x 54. Weight in Grams: 1256. . 1999. Paperback. . . . . . Codice libro della libreria V9780486409160

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Descrizione libro Dover Publications Inc. Paperback. Condizione libro: New. New copy - Usually dispatched within 2 working days. Codice libro della libreria B9780486409160

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Descrizione libro Dover Publications, 1999. Paperback. Condizione libro: New. Never used!. Codice libro della libreria 0486409163

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