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Sinopsis
An original, effective approach teaches by reviewing worked examples in detail. "Every step in the mathematical process is explained, its purpose and necessity made clear . . . the reader not only has no difficulty in following the rigorous proofs, but even turns to them with eager expectation." ― Nuclear Physics. 1958 edition.
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Acerca del autor
Dutch mathematician Nicolaas Covert (Dick) de Brujin is Professor Emeritus at the Eindhoven University of Technology. He has been involved in many areas of mathematics and is currently working on models for the human brain.
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Asymptotic Methods in Analysis
Publicado por
Dover Publications Inc., 2003
ISBN 10: 0486642216
ISBN 13: 9780486642215
Antiguo o usado
Paperback
Librería: World of Books (was SecondSale), Montgomery, IL, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Paperback. Condición: Good. A reader looking for interesting problems tackled often by highly original methods, for precise results fully proved, and for procedures fully motivated, will be delighted. -- Mathematical Reviews.Asymptotics is not new. Its importance in many areas of pure and applied mathematics has been recognized since the days of Laplace. Asymptotic estimates of series, integrals, and other expressions are commonly needed in physics, engineering, and other fields. Unfortunately, for many years there was a dearth of literature dealing with this difficult but important topic. Then, in 1958, Professor N. G. de Bruijn published this pioneering study. Widely considered the first text on the subject -- and the first comprehensive coverage of this broad field -- the book embodied an original and highly effective approach to teaching asymptotics. Rather than trying to formulate a general theory (which, in the author's words, leads to stating more and more about less and less) de Bruijn teaches asymptotic methods through a rigorous process of explaining worked examples in detail.Most of the important asymptotic methods are covered here with unusual effectiveness and clarity: Every step in the mathematical process is explained, its purpose and necessity made clear, with the result that the reader not only has no difficulty in following the rigorous proofs, but even turns to them with eager expectation. (Nuclear Physics).Part of the attraction of this book is its pleasant, straightforward style of exposition, leavened with a touch of humor and occasionally even using the dramatic form of dialogue. The book begins with a general introduction (fundamental to the whole book) on O and o notation and asymptotic series in general. Subsequent chapters cover estimation of implicit functions and the roots of equations; various methods of estimating sums; extensive treatment of the saddle-point method with full details and intricate worked examples; a brief introduction to Tauberian theorems; a detailed chapter on iteration; and a short chapter on asymptotic behavior of solutions of differential equations. Most chapters progress from simple examples to difficult problems; and in some cases, two or more different treatments of the same problem are given to enable the reader to compare different methods. Several proofs of the Stirling theorem are included, for example, and the problem of the iterated sine is treated twice in Chapter 8. Exercises are given at the end of each chapter.Since its first publication, Asymptotic Methods in Analysis has received widespread acclaim for its rigorous and original approach to teaching a difficult subject. This Dover edition, with corrections by the author, offers students, mathematicians, engineers, and physicists not only an inexpensive, comprehensive guide to asymptotic methods but also an unusually lucid and useful account of a significant mathematical discipline. Nº de ref. del artículo: 00106192525
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Imagen de archivo
Asymptotic Methods in Analysis
Publicado por
Dover Publications Inc., 2003
ISBN 10: 0486642216
ISBN 13: 9780486642215
Antiguo o usado
Paperback
Librería: World of Books (was SecondSale), Montgomery, IL, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Paperback. Condición: Very Good. A reader looking for interesting problems tackled often by highly original methods, for precise results fully proved, and for procedures fully motivated, will be delighted. -- Mathematical Reviews.Asymptotics is not new. Its importance in many areas of pure and applied mathematics has been recognized since the days of Laplace. Asymptotic estimates of series, integrals, and other expressions are commonly needed in physics, engineering, and other fields. Unfortunately, for many years there was a dearth of literature dealing with this difficult but important topic. Then, in 1958, Professor N. G. de Bruijn published this pioneering study. Widely considered the first text on the subject -- and the first comprehensive coverage of this broad field -- the book embodied an original and highly effective approach to teaching asymptotics. Rather than trying to formulate a general theory (which, in the author's words, leads to stating more and more about less and less) de Bruijn teaches asymptotic methods through a rigorous process of explaining worked examples in detail.Most of the important asymptotic methods are covered here with unusual effectiveness and clarity: Every step in the mathematical process is explained, its purpose and necessity made clear, with the result that the reader not only has no difficulty in following the rigorous proofs, but even turns to them with eager expectation. (Nuclear Physics).Part of the attraction of this book is its pleasant, straightforward style of exposition, leavened with a touch of humor and occasionally even using the dramatic form of dialogue. The book begins with a general introduction (fundamental to the whole book) on O and o notation and asymptotic series in general. Subsequent chapters cover estimation of implicit functions and the roots of equations; various methods of estimating sums; extensive treatment of the saddle-point method with full details and intricate worked examples; a brief introduction to Tauberian theorems; a detailed chapter on iteration; and a short chapter on asymptotic behavior of solutions of differential equations. Most chapters progress from simple examples to difficult problems; and in some cases, two or more different treatments of the same problem are given to enable the reader to compare different methods. Several proofs of the Stirling theorem are included, for example, and the problem of the iterated sine is treated twice in Chapter 8. Exercises are given at the end of each chapter.Since its first publication, Asymptotic Methods in Analysis has received widespread acclaim for its rigorous and original approach to teaching a difficult subject. This Dover edition, with corrections by the author, offers students, mathematicians, engineers, and physicists not only an inexpensive, comprehensive guide to asymptotic methods but also an unusually lucid and useful account of a significant mathematical discipline. Nº de ref. del artículo: 00105510201
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Asymptotic Methods in Analysis (Dover Books on Mathematics)
Publicado por
Dover Publications, 2010
ISBN 10: 0486642216
ISBN 13: 9780486642215
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Librería: Dream Books Co., Denver, CO, Estados Unidos de America
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Condición: acceptable. This copy has clearly been enjoyedâ"expect noticeable shelf wear and some minor creases to the cover. Binding is strong, and all pages are legible. May contain previous library markings or stamps. Nº de ref. del artículo: 4EKGRJ00DJ8Y_ns
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Asymptotic Methods in Analysis (Dover Books on Mathematics)
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Paperback. Condición: New. New item in gift quality condition. 99% of orders arrive in 4-10 days. Discounted shipping on multiple books. Nº de ref. del artículo: mon0001374099
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Asymptotic Methods in Analysis
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Dover Publications, 2010
ISBN 10: 0486642216
ISBN 13: 9780486642215
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Paperback. Condición: Good. No Jacket. Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less. Nº de ref. del artículo: G0486642216I3N00
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Asymptotic Methods in Analysis
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ISBN 10: 0486642216
ISBN 13: 9780486642215
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ISBN 13: 9780486642215
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ISBN 10: 0486642216
ISBN 13: 9780486642215
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Asymptotic Methods in Analysis
Publicado por
Dover Publications, 2010
ISBN 10: 0486642216
ISBN 13: 9780486642215
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Librería: ThriftBooks-Dallas, Dallas, TX, Estados Unidos de America
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Asymptotic Methods in Analysis
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Dover Publications, 2010
ISBN 10: 0486642216
ISBN 13: 9780486642215
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Librería: ThriftBooks-Atlanta, AUSTELL, GA, Estados Unidos de America
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Paperback. Condición: Fair. No Jacket. Readable copy. Pages may have considerable notes/highlighting. ~ ThriftBooks: Read More, Spend Less. Nº de ref. del artículo: G0486642216I5N00
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