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1A Simple Relation Between Elementary Number-Theory And Elementary Projective Geometry

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"A Simple Relation Between Elementary Number-Theory and Elementary Projective Geometry" is an article from The American Mathematical Monthly, Volume 24 . View more articles from The American Mathematical Monthly . View this article on JSTOR . View this article's JSTOR metadata . You may also retrieve all of this items metadata in JSON at the following URL: https://archive.org/metadata/jstor-2973553

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  • Title: ➤  A Simple Relation Between Elementary Number-Theory And Elementary Projective Geometry
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2Elementary Number Theory

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"A Simple Relation Between Elementary Number-Theory and Elementary Projective Geometry" is an article from The American Mathematical Monthly, Volume 24 . View more articles from The American Mathematical Monthly . View this article on JSTOR . View this article's JSTOR metadata . You may also retrieve all of this items metadata in JSON at the following URL: https://archive.org/metadata/jstor-2973553

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  • Title: Elementary Number Theory
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3Elementary Methods In Number Theory

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"A Simple Relation Between Elementary Number-Theory and Elementary Projective Geometry" is an article from The American Mathematical Monthly, Volume 24 . View more articles from The American Mathematical Monthly . View this article on JSTOR . View this article's JSTOR metadata . You may also retrieve all of this items metadata in JSON at the following URL: https://archive.org/metadata/jstor-2973553

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4Elementary Topics In Number Theory, Algebra And Probability

"A Simple Relation Between Elementary Number-Theory and Elementary Projective Geometry" is an article from The American Mathematical Monthly, Volume 24 . View more articles from The American Mathematical Monthly . View this article on JSTOR . View this article's JSTOR metadata . You may also retrieve all of this items metadata in JSON at the following URL: https://archive.org/metadata/jstor-2973553

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5Lectures On Elementary Number Theory. --

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ix, 146 p. : 24 cm. --

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6Seminar In Analysis- Applications To Number Theory - The Elementary Proof Of The Prime Number Theorem- An Historical Perspective

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The study of the distribution of prime numbers has fascinated mathematicians since antiquity. It is only in modern times, however, that a precise asymptotic law for the number of primes in arbitrarily long intervals has been obtained.

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7Some Conjectures In Elementary Number Theory

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We announce a number of conjectures associated with and arising from a study of primes and irrationals in $\mathbb{R}$. All are supported by numerical verification to the extent possible.

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8Elementary Introduction To Number Theory

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We announce a number of conjectures associated with and arising from a study of primes and irrationals in $\mathbb{R}$. All are supported by numerical verification to the extent possible.

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9Elementary Number Theory, 2nd Edition

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We announce a number of conjectures associated with and arising from a study of primes and irrationals in $\mathbb{R}$. All are supported by numerical verification to the extent possible.

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10Elementary Number Theory And Its Applications

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We announce a number of conjectures associated with and arising from a study of primes and irrationals in $\mathbb{R}$. All are supported by numerical verification to the extent possible.

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11Equations And Inequalities : Elementary Problems And Theorems In Algebra And Number Theory

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We announce a number of conjectures associated with and arising from a study of primes and irrationals in $\mathbb{R}$. All are supported by numerical verification to the extent possible.

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12Elementary Introduction To Number Theory

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We announce a number of conjectures associated with and arising from a study of primes and irrationals in $\mathbb{R}$. All are supported by numerical verification to the extent possible.

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13ERIC ED444851: Applying Insights From Research On Learning: Teaching Number Theory For Preservice Elementary Teachers.

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Elementary number theory is a standard topic in the mathematical preparation of preservice elementary teachers. To understand elementary number theory, a student must be comfortable with the representation of natural numbers as the product of primes. This paper discusses methods for accomplishing this goal in a mathematics course. It also considers the role of measurement (quotitive) division in justifying divisibility results and demonstrates one way that this connection can be exploited to strengthen student understanding of multiplication and division. The appendix contains three worksheets for students to complete. (ASK)

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14250 Problems In Elementary Number Theory

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Elementary number theory is a standard topic in the mathematical preparation of preservice elementary teachers. To understand elementary number theory, a student must be comfortable with the representation of natural numbers as the product of primes. This paper discusses methods for accomplishing this goal in a mathematics course. It also considers the role of measurement (quotitive) division in justifying divisibility results and demonstrates one way that this connection can be exploited to strengthen student understanding of multiplication and division. The appendix contains three worksheets for students to complete. (ASK)

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15Elementary Introduction To Number Theory

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Elementary number theory is a standard topic in the mathematical preparation of preservice elementary teachers. To understand elementary number theory, a student must be comfortable with the representation of natural numbers as the product of primes. This paper discusses methods for accomplishing this goal in a mathematics course. It also considers the role of measurement (quotitive) division in justifying divisibility results and demonstrates one way that this connection can be exploited to strengthen student understanding of multiplication and division. The appendix contains three worksheets for students to complete. (ASK)

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16Elementary Number Theory: A Computer Approach

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Elementary number theory is a standard topic in the mathematical preparation of preservice elementary teachers. To understand elementary number theory, a student must be comfortable with the representation of natural numbers as the product of primes. This paper discusses methods for accomplishing this goal in a mathematics course. It also considers the role of measurement (quotitive) division in justifying divisibility results and demonstrates one way that this connection can be exploited to strengthen student understanding of multiplication and division. The appendix contains three worksheets for students to complete. (ASK)

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17Elementary Number Theory And Its Applications

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Elementary number theory is a standard topic in the mathematical preparation of preservice elementary teachers. To understand elementary number theory, a student must be comfortable with the representation of natural numbers as the product of primes. This paper discusses methods for accomplishing this goal in a mathematics course. It also considers the role of measurement (quotitive) division in justifying divisibility results and demonstrates one way that this connection can be exploited to strengthen student understanding of multiplication and division. The appendix contains three worksheets for students to complete. (ASK)

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18Elementary Number Theory In Nine Chapters

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Elementary number theory is a standard topic in the mathematical preparation of preservice elementary teachers. To understand elementary number theory, a student must be comfortable with the representation of natural numbers as the product of primes. This paper discusses methods for accomplishing this goal in a mathematics course. It also considers the role of measurement (quotitive) division in justifying divisibility results and demonstrates one way that this connection can be exploited to strengthen student understanding of multiplication and division. The appendix contains three worksheets for students to complete. (ASK)

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19Elementary Number Theory And Its Applications

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Elementary number theory is a standard topic in the mathematical preparation of preservice elementary teachers. To understand elementary number theory, a student must be comfortable with the representation of natural numbers as the product of primes. This paper discusses methods for accomplishing this goal in a mathematics course. It also considers the role of measurement (quotitive) division in justifying divisibility results and demonstrates one way that this connection can be exploited to strengthen student understanding of multiplication and division. The appendix contains three worksheets for students to complete. (ASK)

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20Instructor's Manual To Accompany: Elementary Introduction To Number Theory

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Elementary number theory is a standard topic in the mathematical preparation of preservice elementary teachers. To understand elementary number theory, a student must be comfortable with the representation of natural numbers as the product of primes. This paper discusses methods for accomplishing this goal in a mathematics course. It also considers the role of measurement (quotitive) division in justifying divisibility results and demonstrates one way that this connection can be exploited to strengthen student understanding of multiplication and division. The appendix contains three worksheets for students to complete. (ASK)

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21Elementary Number Theory

Elementary number theory is a standard topic in the mathematical preparation of preservice elementary teachers. To understand elementary number theory, a student must be comfortable with the representation of natural numbers as the product of primes. This paper discusses methods for accomplishing this goal in a mathematics course. It also considers the role of measurement (quotitive) division in justifying divisibility results and demonstrates one way that this connection can be exploited to strengthen student understanding of multiplication and division. The appendix contains three worksheets for students to complete. (ASK)

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22Elementary Number Theory

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Elementary number theory is a standard topic in the mathematical preparation of preservice elementary teachers. To understand elementary number theory, a student must be comfortable with the representation of natural numbers as the product of primes. This paper discusses methods for accomplishing this goal in a mathematics course. It also considers the role of measurement (quotitive) division in justifying divisibility results and demonstrates one way that this connection can be exploited to strengthen student understanding of multiplication and division. The appendix contains three worksheets for students to complete. (ASK)

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23Student's Solutions Manual To Accompany Elementary Number Theory And Its Applications, Fourth Edition [by] Kenneth H. Rosen

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iii, 139 pages ; 28 cm

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24Elementary Number Theory

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iii, 139 pages ; 28 cm

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25An Introductory In Elementary Number Theory

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INTRODUCTION TO NUMBER THEORY

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26Number Theory For Elementary School Teachers

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INTRODUCTION TO NUMBER THEORY

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27Number Theory : An Elementary Introduction Through Diophantine Problems

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INTRODUCTION TO NUMBER THEORY

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28Mathematical Gems From Elementary Combinatorics, Number Theory, And Geometry

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INTRODUCTION TO NUMBER THEORY

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29ERIC ED100704: Applications Of Piagetian Theory To The Teaching Of Elementary Number Concepts: A Theory-into-Practice Approach.

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After a brief description of three Piagetian stages (pre-operational, transition to concrete operations, and concrete operations), the author identifies 12 key statements from Piaget's writings. These statements, together with related implications for teaching elementary school mathematics, methods of diagnosing stage acquisition, and examples are presented in chart form. (SD)

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30David M Burton Elementary Number Theory Mcgraw Hill Education 2010 ( 1)

Elementary Number Theory, David M Burton, Tata-McGraw Hill Edition, 6th edition, 2015.

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31Elementary Number Theory

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32Elementary Number Theory

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33Ri Im Elementary Number Theory

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34A Guide To Elementary Number Theory

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35On Euclid's Algorithm And Elementary Number Theory

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Algorithms can be used to prove and to discover new theorems. This paper shows how algorithmic skills in general, and the notion of invariance in particular, can be used to derive many results from Euclid's algorithm. We illustrate how to use the algorithm as a verification interface (i.e., how to verify theorems) and as a construction interface (i.e., how to investigate and derive new theorems). The theorems that we verify are well-known and most of them are included in standard number theory books. The new results concern distributivity properties of the greatest common divisor and a new algorithm for efficiently enumerating the positive rationals in two different ways. One way is known and is due to Moshe Newman. The second is new and corresponds to a deforestation of the Stern-Brocot tree of rationals. We show that both enumerations stem from the same simple algorithm. In this way, we construct a Stern-Brocot enumeration algorithm with the same time and space complexity as Newman's algorithm. A short review of the original papers by Stern and Brocot is also included.

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36Elementary Number Theory

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Algorithms can be used to prove and to discover new theorems. This paper shows how algorithmic skills in general, and the notion of invariance in particular, can be used to derive many results from Euclid's algorithm. We illustrate how to use the algorithm as a verification interface (i.e., how to verify theorems) and as a construction interface (i.e., how to investigate and derive new theorems). The theorems that we verify are well-known and most of them are included in standard number theory books. The new results concern distributivity properties of the greatest common divisor and a new algorithm for efficiently enumerating the positive rationals in two different ways. One way is known and is due to Moshe Newman. The second is new and corresponds to a deforestation of the Stern-Brocot tree of rationals. We show that both enumerations stem from the same simple algorithm. In this way, we construct a Stern-Brocot enumeration algorithm with the same time and space complexity as Newman's algorithm. A short review of the original papers by Stern and Brocot is also included.

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37Elementary Number Theory

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Includes index

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38Elementary Introduction To Number Theory

Includes index

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39Elementary Number Theory; An Algebraic Approach

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Includes index

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40An Elementary (number Theory) Proof Of Touchard's Congruence

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Let B_n denote the nth Bell number. We use well-known recursive expressions for B_n to give a generalizing recursion that can be used to prove Touchard's congruence.

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41Elementary Number Theory

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Let B_n denote the nth Bell number. We use well-known recursive expressions for B_n to give a generalizing recursion that can be used to prove Touchard's congruence.

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42Elementary Number Theory Underwood Dudley ( 2008)

Elementary Number Theory, Underwood Dudley, Dover publications, 2nd edition, 2008.

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43Elementary Number Theory: A Computer Approach

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Elementary Number Theory, Underwood Dudley, Dover publications, 2nd edition, 2008.

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44Elementary Number Theory

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Elementary Number Theory, Underwood Dudley, Dover publications, 2nd edition, 2008.

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45Elementary Topics In Number Theory, Algebra, And Probability

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Elementary Number Theory, Underwood Dudley, Dover publications, 2nd edition, 2008.

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46An Elementary Treatise On Astronomy : In Two Parts, The First Containing A Clear And Compendious View Of The Theory, The Second, A Number Of Practical Problems, To Which Are Added Solar, Lunar, And Other Astronomical Tables

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357, 98 p., 7 leaves of plates : 23 cm

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47Student's Solutions Manual To Accompany Elementary Number Theory

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357, 98 p., 7 leaves of plates : 23 cm

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48The Whole Truth About Whole Numbers : An Elementary Introduction To Number Theory

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357, 98 p., 7 leaves of plates : 23 cm

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49Elementary Number Theory

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357, 98 p., 7 leaves of plates : 23 cm

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50Elementary Number Theory

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357, 98 p., 7 leaves of plates : 23 cm

“Elementary Number Theory” Metadata:

  • Title: Elementary Number Theory
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  • Language: English

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The book is available for download in "texts" format, the size of the file-s is: 918.73 Mbs, the file-s for this book were downloaded 3434 times, the file-s went public at Tue Jul 19 2022.

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ACS Encrypted PDF - AVIF Thumbnails ZIP - Cloth Cover Detection Log - DjVuTXT - Djvu XML - Dublin Core - EPUB - Item Tile - JPEG Thumb - JSON - LCP Encrypted EPUB - LCP Encrypted PDF - Log - MARC - MARC Binary - Metadata - OCR Page Index - OCR Search Text - PNG - Page Numbers JSON - RePublisher Final Processing Log - RePublisher Initial Processing Log - Scandata - Single Page Original JP2 Tar - Single Page Processed JP2 ZIP - Text PDF - Title Page Detection Log - chOCR - hOCR -

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Source: The Open Library

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1Student's Solutions Manual to accompany Elementary Number Theory

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“Student's Solutions Manual to accompany Elementary Number Theory” Metadata:

  • Title: ➤  Student's Solutions Manual to accompany Elementary Number Theory
  • Author:
  • Language: English
  • Number of Pages: Median: 144
  • Publisher: ➤  McGraw-Hill Science/Engineering/Math
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Access and General Info:

  • First Year Published: 2005
  • Is Full Text Available: Yes
  • Is The Book Public: No
  • Access Status: Borrowable

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2Elementary Number Theory, 2nd Edition

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“Elementary Number Theory, 2nd Edition” Metadata:

  • Title: ➤  Elementary Number Theory, 2nd Edition
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  • Publisher: Universal Book Stall
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Access and General Info:

  • First Year Published: 1998
  • Is Full Text Available: Yes
  • Is The Book Public: No
  • Access Status: Borrowable

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Source: LibriVox

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Available audio books for downloads from LibriVox

1Anatomy of Melancholy Volume 1

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The Anatomy of Melancholy is a book by Robert Burton, first published in 1621. On its surface, the book is a medical textbook in which Burton applies his large and varied learning in the scholastic manner to the subject of melancholia (which includes what is now termed clinical depression).<br><br> Though presented as a medical text, The Anatomy of Melancholy is as much a sui generis work of literature as it is a scientific or philosophical text, and Burton addresses far more than his stated subject. In fact, the Anatomy uses melancholy as the lens through which all human emotion and thought may be scrutinized, and virtually the entire contents of a 17th-century library are marshalled into service of this goal.<br><br> Burton is forthright about his intentions in writing the Anatomy — "I write of melancholy by being busy to avoid melancholy," he concedes. This acknowledged desire to distract and amuse himself motivated Burton to produce a wide-ranging document, containing digressions and commentary. Whatever its strengths as a medical text or as a historical document, it is the Anatomy's vast breadth — addressing topics such as digestion, goblins, the geography of America, and others — and the particularly characteristic voice of its author that are most commonly cited by its admirers as the main sources of its appeal. Both satirical and serious in tone, the Anatomy is "vitalized by (Burton's) pervading humour", and Burton's digressive and inclusive style, often verging on a stream of consciousness, consistently informs and animates the text. (Summary from Wikipedia)

“Anatomy of Melancholy Volume 1” Metadata:

  • Title: Anatomy of Melancholy Volume 1
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  • Language: English
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  • Format: Audio
  • Number of Sections: 53
  • Total Time: 21:50:53

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  • Number of Sections: 53 sections

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  • File Name: anatomy_of_melancholy_1005_librivox
  • File Format: zip
  • Total Time: 21:50:53
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2Personal Narrative of a Pilgrimage to Al-madinah and Meccah

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Sir Richard Francis Burton (1821 – 1890) was an English explorer, translator, writer, soldier, orientalist, ethnologist, linguist, poet, hypnotist, fencer and diplomat. He was known for his travels and explorations within Asia and Africa as well as his extraordinary knowledge of languages and cultures. According to one count, he spoke 29 European, Asian, and African languages.<br /><br />Burton's best-known achievements include traveling in disguise to Mecca, The Book of One Thousand Nights and A Night, an unexpurgated translation of One Thousand and One Nights, bringing the Kama Sutra to publication in English, and journeying with John Hanning Speke as the first Europeans led by Africa's greatest explorer guide, Sidi Mubarak Bombay, utilizing route information by Indian and Omani merchants who traded in the region, to visit the Great Lakes of Africa in search of the source of the Nile. Burton extensively criticized colonial policies (to the detriment of his career) in his works and letters. He was a prolific and erudite author and wrote numerous books and scholarly articles about subjects including human behavior, travel, fencing, sexual practices, and ethnography. A unique feature of his books is the copious footnotes and appendices containing remarkable observations and unexpurgated information. (Summary from Wikipedia)

“Personal Narrative of a Pilgrimage to Al-madinah and Meccah” Metadata:

  • Title: ➤  Personal Narrative of a Pilgrimage to Al-madinah and Meccah
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  • Language: English
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  • Format: Audio
  • Number of Sections: 57
  • Total Time: 31:48:32

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  • Number of Sections: 57 sections

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  • File Name: pilgrimage_madinah_meccah_1207_librivox
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  • Total Time: 31:48:32
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3Author's Abstract of Melancholy

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LibriVox volunteers bring you 9 recordings of The Author's Abstract of Melancholy by Robert Burton. This was the fortnightly poetry project for September 20, 2009.

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  • Title: ➤  Author's Abstract of Melancholy
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  • Language: English
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  • Format: Audio
  • Number of Sections: 9
  • Total Time: 0:45:04

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  • Number of Sections: 9 sections

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  • File Name: authors_abstract_melancholy_0910_librivox
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  • Total Time: 0:45:04
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4Anatomy of Melancholy Volume 2

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Book's cover

The Anatomy of Melancholy is a book by Robert Burton, first published in 1621. On its surface, the book is a medical textbook in which Burton applies his large and varied learning in the scholastic manner to the subject of melancholia (which includes what is now termed clinical depression).<br><br> Though presented as a medical text, The Anatomy of Melancholy is as much a sui generis work of literature as it is a scientific or philosophical text, and Burton addresses far more than his stated subject. In fact, the Anatomy uses melancholy as the lens through which all human emotion and thought may be scrutinized, and virtually the entire contents of a 17th-century library are marshalled into service of this goal.<br><br> Burton is forthright about his intentions in writing the Anatomy — "I write of melancholy by being busy to avoid melancholy," he concedes. This acknowledged desire to distract and amuse himself motivated Burton to produce a wide-ranging document, containing digressions and commentary. Whatever its strengths as a medical text or as a historical document, it is the Anatomy's vast breadth — addressing topics such as digestion, goblins, the geography of America, and others — and the particularly characteristic voice of its author that are most commonly cited by its admirers as the main sources of its appeal. Both satirical and serious in tone, the Anatomy is "vitalized by (Burton's) pervading humour", and Burton's digressive and inclusive style, often verging on a stream of consciousness, consistently informs and animates the text. (Summary from Wikipedia)

“Anatomy of Melancholy Volume 2” Metadata:

  • Title: Anatomy of Melancholy Volume 2
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  • Language: English
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  • Format: Audio
  • Number of Sections: 39
  • Total Time: 12:57:44

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  • Number of Sections: 39 sections

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  • File Name: anatomy_melancholy_v2_1102_librivox
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  • Total Time: 12:57:44
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5Anatomy of Melancholy Volume 3

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Book's cover

The Anatomy of Melancholy is a book by Robert Burton, first published in 1621. On its surface, the book is a medical textbook in which Burton applies his large and varied learning in the scholastic manner to the subject of melancholia (which includes what is now termed clinical depression).<br/><br/> Though presented as a medical text, The Anatomy of Melancholy is as much a sui generis work of literature as it is a scientific or philosophical text, and Burton addresses far more than his stated subject. In fact, the Anatomy uses melancholy as the lens through which all human emotion and thought may be scrutinized, and virtually the entire contents of a 17th-century library are marshalled into service of this goal.<br/><br/> Burton is forthright about his intentions in writing the Anatomy — "I write of melancholy by being busy to avoid melancholy," he concedes. This acknowledged desire to distract and amuse himself motivated Burton to produce a wide-ranging document, containing digressions and commentary. Whatever its strengths as a medical text or as a historical document, it is the Anatomy's vast breadth — addressing topics such as digestion, goblins, the geography of America, and others — and the particularly characteristic voice of its author that are most commonly cited by its admirers as the main sources of its appeal. Both satirical and serious in tone, the Anatomy is "vitalized by (Burton's) pervading humour", and Burton's digressive and inclusive style, often verging on a stream of consciousness, consistently informs and animates the text. (Summary from Wikipedia)

“Anatomy of Melancholy Volume 3” Metadata:

  • Title: Anatomy of Melancholy Volume 3
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  • Language: English
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  • Format: Audio
  • Number of Sections: 49
  • Total Time: 24:20:55

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  • Text Source: - Download text file/s.
  • Number of Sections: 49 sections

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  • File Name: anatomy_melancholy3_1211_librivox
  • File Format: zip
  • Total Time: 24:20:55
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6Memories of Childhood's Slavery Days

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This is a short and simple, yet poignant autobiography of Annie Burton, who recounts her early carefree childhood as a slave on a southern plantation while the Civil War raged around her, and after the Emancipation Proclamation, how her life changed as she struggled to maintain herself and family, manage her finances, and develop as a free person of color. The last half of the narrative relies heavily upon speeches, poems, and hymns written by others that stirred Annie's religious passions and increased her pride in her heritage, including a very powerful speech by Dr. P. Thomas Stanford, "The Race Question in America", which no doubt gave Annie some historical perspective, boosted her pride, and offered much food for thought to her readers upon that important subject. (Summary by Michele Fry)

“Memories of Childhood's Slavery Days” Metadata:

  • Title: ➤  Memories of Childhood's Slavery Days
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  • Language: English
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  • Format: Audio
  • Number of Sections: 8
  • Total Time: 01:40:21

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  • Number of Sections: 8 sections

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  • File Name: childhoodsslaverydays_1308_librivox
  • File Format: zip
  • Total Time: 01:40:21
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7Land of Midian (Revisited)

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The plain unvarnished tale of the travel in Midian, undertaken by the second Expedition, which, like the first, owes all to the liberality and the foresight of His Highness Ismail I., Khediv of Egypt, forms the subject of these volumes. During the four months between December 19, 1877, and April 20, 1878, the officers employed covered some 2500 miles by sea and land, of which 600, not including by-paths, were mapped and planned; and we brought back details of an old-new land which the civilized world had clean forgotten. - Preface in the book

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  • Title: Land of Midian (Revisited)
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  • Language: English
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  • Format: Audio
  • Number of Sections: 11
  • Total Time: 06:54:32

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  • Number of Sections: 11 sections

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  • File Name: land_midian_revisited_2311_librivox
  • File Format: zip
  • Total Time: 06:54:32
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