Moritz Prasse (44 results)

PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000.

PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000.

PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000.

PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000.

HRD. Condition: New. New Book. Shipped from UK. Established seller since 2000.

HRD. Condition: New. New Book. Shipped from UK. Established seller since 2000.

HRD. Condition: New. New Book. Shipped from UK. Established seller since 2000.

HRD. Condition: New. New Book. Shipped from UK. Established seller since 2000.

Condition: New. In.

Paperback. Condition: New. Print on Demand. This book presents a fresh examination of arithmetical series and allied functions, a subject with deep historical roots in mathematical analysis. The author meticulously develops the theory of arithmetical series, presenting a novel approach that yields a deeper understanding of the subject. The book explores the relationship between arithmetical series and logarithmic and trigonometric functions, a connection that sheds new light on the behavior of these essential mathematical tools. By unraveling the intricate relationships between these functions, the author provides valuable insights into their fundamental properties and applications. This book is a valuable resource for mathematicians, students, and anyone interested in delving into the intricacies of arithmetical series and their connections to other mathematical concepts. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item.

Condition: New. In.

Softcover. Condition: Sehr gut. Ohne Schutzumschlag. 1. Auflage. Prasse, Moritz von. De Aequationibus Numericis Altiorum Ordinum Commentatio I. Leipzig 1807. 4°. 19 S. Geheftet. Unbeschnitten. Sehr gut erhalten.

Paperback. Condition: New. Print on Demand. This book explores the fascinating mathematical topic of combinatorial permutations and variations. It delves into the concept of combinations, explaining how they can be used to calculate the number of possible arrangements or selections from a given set of elements. The author explores the difference between variations and combinations, highlighting how variations consider order and combinations do not. Through a series of examples and explanations, the book provides a comprehensive understanding of these concepts, their applications, and their significance in the field of mathematics. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item.

PAP. Condition: New. New Book. Shipped from UK. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000.

Taschenbuch. Condition: Neu. Neuware - This is an EXACT reproduction of a book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and jumbled words. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.

PAP. Condition: New. New Book. Delivered from our UK warehouse in 4 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000.

(13,5 x 9 cm). IX, 110 S. Halblederband der Zeit. Gestempelt und leicht stockfleckig, sonst gut erhalten.

LeatherBound. Condition: New. BOOKS ARE EXEMPT FROM IMPORT DUTIES AND TARIFFS; NO EXTRA CHARGES APPLY. LeatherBound edition. Condition: New. Reprinted from 1796 edition. Leather Binding on Spine and Corners with Golden leaf printing on spine. Bound in genuine leather with Satin ribbon page markers and Spine with raised gilt bands. A perfect gift for your loved ones. Pages: 55 NO changes have been made to the original text. This is NOT a retyped or an ocr'd reprint. Illustrations, Index, if any, are included in black and white. Each page is checked manually before printing. As this print on demand book is reprinted from a very old book, there could be some missing or flawed pages, but we always try to make the book as complete as possible. Fold-outs, if any, are not part of the book. If the original book was published in multiple volumes then this reprint is of only one volume, not the whole set. Sewing binding for longer life, where the book block is actually sewn (smythe sewn/section sewn) with thread before binding which results in a more durable type of binding. Pages: 55 Moritz von Prasse.

LeatherBound. Condition: New. BOOKS ARE EXEMPT FROM IMPORT DUTIES AND TARIFFS; NO EXTRA CHARGES APPLY. LeatherBound edition. Condition: New. Reprinted from 1804 edition. Leather Binding on Spine and Corners with Golden leaf printing on spine. NO changes have been made to the original text. This is NOT a retyped or an ocr'd reprint. Illustrations, Index, if any, are included in black and white. Each page is checked manually before printing. Pages: 64 As this print on demand book is reprinted from a very old book, there could be some missing or flawed pages, but we always try to make the book as complete as possible. Fold-outs, if any, are not part of the book. If the original book was published in multiple volumes then this reprint is of only one volume, not the whole set. Sewing binding for longer life, where the book block is actually sewn (smythe sewn/section sewn) with thread before binding which results in a more durable type of binding. Pages: 64 Language: Latin.

LeatherBound. Condition: New. BOOKS ARE EXEMPT FROM IMPORT DUTIES AND TARIFFS; NO EXTRA CHARGES APPLY. LeatherBound edition. Condition: New. Reprinted from 1796 edition. Leather Binding on Spine and Corners with Golden leaf printing on spine. NO changes have been made to the original text. This is NOT a retyped or an ocr'd reprint. Illustrations, Index, if any, are included in black and white. Each page is checked manually before printing. Pages: 61 As this print on demand book is reprinted from a very old book, there could be some missing or flawed pages, but we always try to make the book as complete as possible. Fold-outs, if any, are not part of the book. If the original book was published in multiple volumes then this reprint is of only one volume, not the whole set. Sewing binding for longer life, where the book block is actually sewn (smythe sewn/section sewn) with thread before binding which results in a more durable type of binding. Pages: 61 Language: Latin.

Gr.-8°, Broschiert. Condition: Befriedigend. Broschur, 14 Seiten deutliche Gebrauchsspuren, Ecken und Kanten berieben, die Front stärker an den Rändern beschmutzt, am unteren Rand auf den ersten beiden Seiten ein Wasserrand Qrdner1 Sprache: Deutsch Gewicht in Gramm: 1400.

LeatherBound. Condition: New. BOOKS ARE EXEMPT FROM IMPORT DUTIES AND TARIFFS; NO EXTRA CHARGES APPLY. Leatherbound edition. Condition: New. Leather Binding on Spine and Corners with Golden leaf printing on spine. Bound in genuine leather with Satin ribbon page markers and Spine with raised gilt bands. Pages: 60. A perfect gift for your loved ones. Reprinted from 1796 edition. NO changes have been made to the original text. This is NOT a retyped or an ocr'd reprint. Illustrations, Index, if any, are included in black and white. Each page is checked manually before printing. As this print on demand book is reprinted from a very old book, there could be some missing or flawed pages, but we always try to make the book as complete as possible. Fold-outs, if any, are not part of the book. If the original book was published in multiple volumes then this reprint is of only one volume, not the whole set. IF YOU WISH TO ORDER PARTICULAR VOLUME OR ALL THE VOLUMES YOU CAN CONTACT US. Resized as per current standards. Sewing binding for longer life, where the book block is actually sewn (smythe sewn/section sewn) with thread before binding which results in a more durable type of binding. Language: Latin Pages: 60.

Leatherbound. Condition: NEW. BOOKS ARE EXEMPT FROM IMPORT DUTIES AND TARIFFS; NO EXTRA CHARGES APPLY. Leatherbound edition. Condition: New. Leather Binding on Spine and Corners with Golden leaf printing on spine. Bound in genuine leather with Satin ribbon page markers and Spine with raised gilt bands. Pages: 64. A perfect gift for your loved ones. Reprinted from 1812 edition. NO changes have been made to the original text. This is NOT a retyped or an ocr'd reprint. Illustrations, Index, if any, are included in black and white. Each page is checked manually before printing. As this print on demand book is reprinted from a very old book, there could be some missing or flawed pages, but we always try to make the book as complete as possible. Fold-outs, if any, are not part of the book. If the original book was published in multiple volumes then this reprint is of only one volume, not the whole set. IF YOU WISH TO ORDER PARTICULAR VOLUME OR ALL THE VOLUMES YOU CAN CONTACT US. Resized as per current standards. Sewing binding for longer life, where the book block is actually sewn (smythe sewn/section sewn) with thread before binding which results in a more durable type of binding. Language: Latin Pages: 64.

Leatherbound. Condition: NEW. BOOKS ARE EXEMPT FROM IMPORT DUTIES AND TARIFFS; NO EXTRA CHARGES APPLY. Leatherbound edition. Condition: New. Leather Binding on Spine and Corners with Golden leaf printing on spine. Bound in genuine leather with Satin ribbon page markers and Spine with raised gilt bands. Pages: 70. A perfect gift for your loved ones. Reprinted from 1812 edition. NO changes have been made to the original text. This is NOT a retyped or an ocr'd reprint. Illustrations, Index, if any, are included in black and white. Each page is checked manually before printing. As this print on demand book is reprinted from a very old book, there could be some missing or flawed pages, but we always try to make the book as complete as possible. Fold-outs, if any, are not part of the book. If the original book was published in multiple volumes then this reprint is of only one volume, not the whole set. IF YOU WISH TO ORDER PARTICULAR VOLUME OR ALL THE VOLUMES YOU CAN CONTACT US. Resized as per current standards. Sewing binding for longer life, where the book block is actually sewn (smythe sewn/section sewn) with thread before binding which results in a more durable type of binding. Volume fasc. 1 Language: Latin Pages: 70 Volume fasc. 1.

Condition: New. Print on Demand pp. 60.

LeatherBound. Condition: NEW. LeatherBound edition. Condition: New. Reprinted from 1791 edition. Leather Binding on Spine and Corners with Golden leaf printing on spine. Bound in genuine leather with Satin ribbon page markers and Spine with raised gilt bands. A perfect gift for your loved ones. NO changes have been made to the original text. This is NOT a retyped or an ocr'd reprint. Illustrations, Index, if any, are included in black and white. Each page is checked manually before printing. As this print on demand book is reprinted from a very old book, there could be some missing or flawed pages, but we always try to make the book as complete as possible. Fold-outs, if any, are not part of the book. If the original book was published in multiple volumes then this reprint is of only one volume, not the whole set. Sewing binding for longer life, where the book block is actually sewn (smythe sewn/section sewn) with thread before binding which results in a more durable type of binding. Pages: 60.

LeatherBound. Condition: New. BOOKS ARE EXEMPT FROM IMPORT DUTIES AND TARIFFS; NO EXTRA CHARGES APPLY. LeatherBound edition. Condition: New. Reprinted from 1821 edition. Leather Binding on Spine and Corners with Golden leaf printing on spine. Bound in genuine leather with Satin ribbon page markers and Spine with raised gilt bands. A perfect gift for your loved ones. Pages: 127 NO changes have been made to the original text. This is NOT a retyped or an ocr'd reprint. Illustrations, Index, if any, are included in black and white. Each page is checked manually before printing. As this print on demand book is reprinted from a very old book, there could be some missing or flawed pages, but we always try to make the book as complete as possible. Fold-outs, if any, are not part of the book. If the original book was published in multiple volumes then this reprint is of only one volume, not the whole set. Sewing binding for longer life, where the book block is actually sewn (smythe sewn/section sewn) with thread before binding which results in a more durable type of binding. Pages: 127.

One folding printed table. 1 p.l., 46 pp., one leaf of errata. Large 4to, orig. semi-stiff drab boards (extremities a bit rubbed). Leipzig: C.T. Rabenhorst, 1796. A remarkable discovery: this is essentially a workbook of the young and precocious Carl Friedrich Gauss, signed and dated by him "C. F. Gauss Sept. 7, 1796" on the inner front cover, at which time he was a 19-year old student in Göttingen. Gauss has not only studied the text carefully, making several corrections to the text, but has also made use of two blank pages at the end to carry out exercises (described in detail below). Mathematical manuscripts of Gauss are of the greatest rarity on the market, especially from his early formative years. Moritz von Prasse (1769-1814), was the son of Johann Moritz Prasse, who worked as a mediator in the Seven Years' War at the Court of Catherine the Great in St. Petersburg (and according to some sources may have been her lover). His service led to his family's elevation to the nobility on 31 July 1790. Prasse studied mathematics at the University of Leipzig, graduating in 1795, and rising to become professor there in 1799. He became a member of the Jablonowski Society in 1807 and maintained a correspondence on mathematical topics with Goethe. The great geometer August Ferdinand Möbius was among his students. Apart from the present work, his first, he also published De Reticules Cryptographicis (1799), a method of encrypting messages using rotating dials, and a set of Logarithmischen Tafeln in 1810. His extensive library of works on mathematics was bequeathed to his university on his death in 1814. The present work by Prasse is concerned with the "polynomial theorem," a generalization of the binomial theorem: whereas the binomial theorem gives a series expansion for powers of the sum of two terms, the polynomial theorem treats the sum of any finite (or even an infinite) number of terms. The formula was first proved by Carl Hindenburg (1741-1808), the founder of the modern theory of combinatorics. It has been known at least since the work of Pascal that the coefficients in the binomial expansion can be interpreted as numbers of combinations, and Hindenburg showed that the coefficients occurring in the polynomial theorem also had a combinatorial interpretation. He believed that this result could be used to provide a combinatorial basis for the whole of the theory of functions, and gathered around him a group of disciples, which became known as the "Combinatorial School," to develop and propagate this idea. This School included Prasse, as well as Johann Friedrich Pfaff, who became Gauss's teacher after he moved to Helmstedt in 1798. Although the Combinatorial School did not produce the significant advances Hindenburg had hoped for, it "was influential in Germany at the turn of the 19th century and became the basis of the mathematical syllabus of the Prussian gymnasium in the Humboldt educational system."Jahnke, p. 265 (see below for citation). In this atmosphere it would have been natural for the young Gauss to have been required to study Prasse's work, one of the most recently published products of the Combinatorial School. Both of the exercises worked out by Gauss deal, like Prasse's work, with series expansions. The first exercise develops a series expansion of the indefinite integral of (1 xn)-½ over the interval from 0 to 1, in increasing powers of 1/n (Gauss does not specify the range of integration but this is evident from the context). Gauss writes down the answer without explanation, presumably because the intermediate steps were so straightforward for him that he was able to carry them out mentally. His answer can be obtained by first expanding (1 xn)-½ in increasing powers of xn and then integrating term by term. This yields terms involving 1/n + 1, 1/2n + 1, etc, which are then expanded in increasing powers of 1/n using the binomial theorem. Collecting powers of 1/n gives Gauss's series expansion of the integral. The coefficients of the powers of 1/n in this expansion are themselves infinite series, which Gauss sums by cleverly expressing them as definite integrals, which he then evaluates directly (again Gauss gives no explanation or working, but the integrals can be evaluated by standard methods with which Gauss was obviously very familiar). In the second exercise Gauss obtains a series expansion of ?(t + U), where U is a function of another variable u, in increasing powers of u. This can be done using Taylor's theorem, although this is not quite straightforward as the derivatives of ?(t + U) with respect to u have to be evaluated using the chain rule. Again it is evident that the exercise was nevertheless a simple matter for Gauss as the (correct) answer is written down without explanation or any intermediate steps (although there is one correction!). In fact, Gauss is actually treating a multi-variable case: the presence of multiple ?s indicates that he is treating a case in which ? is a function of several variables x1, x2,.,xn, but this does not cause him any difficulty. Gauss has also made, as mentioned above, corrections on the following pages: 1, 3, 4, 8, 9, 11, 13, 14, 16, 20, and 21. Fine and fresh condition. Preserved in a handsome black morocco-backed box. With the stamps of the "Gauss-Bibliothek" and the Royal Observatory at Göttingen on title with release stamp date 15 October 1951 on facing endpaper. ? Poggendorff II, 518. Tomash Library P108. See H. N. Jahnke, "Algebraic Analysis in Germany 1780-1840" in Historia Mathematica 20, pp. 265-284 for a detailed account of the work of the Combinatorial School.

Condition: New. Print on Demand pp. 58.

HRD. Condition: New. New Book. Shipped from UK. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000.