Originally published in 1934 in the Cambridge Tracts this volume presents the theory of the distribution of the prime numbers in the series of natural numbers. The major part of the book is devoted to the analytical theory founded on the zeta-function of Riemann. Despite being long out of print, this Tract still remains unsurpassed as an introduction to the field, combining an economy of detail with a clarity of exposition which eases the novice into this area.
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Originally published in 1934, this volume presents the theory of the distribution of the prime numbers in the series of natural numbers. Despite being long out of print, it remains unsurpassed as an introduction to the field.
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20 of 25 people found the following review helpful:
4.0 out of 5 stars
Don't be foled by the small size of this book,
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This review is from: The Distribution of Prime Numbers (Cambridge Mathematical Library) (Paperback)
This book, though less than two hundred pages, requires tremendoous knowledge of complex anlysis, number theory, calculus, don't think that this book serve as an introduction to prime number theorem!!!! It is not!!!
3 of 3 people found the following review helpful:
5.0 out of 5 stars
Concise yet informative,
By Sheldon Joyner (Indiana, USA) - See all my reviews
This review is from: The Distribution of Prime Numbers (Cambridge Mathematical Library) (Paperback)
Ingham's book is excellent. It contains much of the material of the first volume Handbuch der Lehre von der Verteilung der Primzahlen. Von dr. Edmund Landau. Vol. 1 of Landau's immense two volume work, and while it is very much to the point there are extensive notes detailing many interesting lesser-known facts. This edition includes a preface giving an outline of developments pertaining to the content of the work since its original publication in 1930.
1 of 1 people found the following review helpful:
5.0 out of 5 stars
Prime numbers distribution,
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This review is from: The Distribution of Prime Numbers (Cambridge Mathematical Library) (Paperback)
Extraordinary book. Theorems and propositions as well as their proofs are explained in details. A lot of things which cannot be found in recent books to be found here ! Theorems: A-C used in modern literature are given in this book.
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Inside This Book
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First Sentence:
In this chapter we confine ourselves to theorems which can be proved without the use of the theory of functions of a complex variable. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
prime number theorem, consecutive primes, nombres premiers, maximum modulus principle, fixed positive number, partial summation Key Phrases - Capitalized Phrases (CAPs): (learn more)
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In this chapter we confine ourselves to theorems which can be proved without the use of the theory of functions of a complex variable. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
prime number theorem, consecutive primes, nombres premiers, maximum modulus principle, fixed positive number, partial summation Key Phrases - Capitalized Phrases (CAPs): (learn more)
Vallée Poussin New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
Citations (learn more)
This book cites 7
books:
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32
books
cite this book:
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- Multiplicative Number Theory by Harold Davenport in Front Matter
- Topics in multiplicative number theory (Lecture notes in mathematics, 227) by Hugh L Montgomery in Front Matter
- An Introduction to the Theory of Numbers (Oxford Science Publications) by G. H. Hardy in Front Matter
- Collected Papers Vol 2 by Atle Selberg in Front Matter
- The Book of Prime Number Records by Paulo Ribenboim in Front Matter
See all 7 books this book cites
- Gamma: Exploring Euler's Constant (Princeton Science Library) by Julian Havil on 4 pages
- Multiplicative Number Theory I: Classical Theory (Cambridge Studies in Advanced Mathematics) by Hugh L. Montgomery on page 33, page 195, and page 418
- Collected Papers Vol V: 1993-1999 (Collected Papers of Serge Lang) by Serge Lang on page 164, and page 336
- The Development of Prime Number Theory : From Euclid to Hardy and Littlewood by Wladyslaw Narkiewicz in Front Matter, and Back Matter
- The Mathematical Traveler: Exploring The Grand History Of Numbers by Calvin C. Clawson in Back Matter (1), and Back Matter (2)
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