Wessel caspar (15 risultati)
Altre immaginiEditore: Johan Rudolph Thiele, Copenhagen 1799
- Brossura
- Prima edizione
Da: SOPHIA RARE BOOKS, Koebenhavn V, , DanimarcaSOPHIA RARE BOOKS
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EUR 3114,45
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First edition. The First Calculus of Vectors. First edition, journal issue, of the first work to propose a geometric representation of complex numbers. "Wessel's fame as a mathematician is based entirely on one paper, written in Danish and published in the Mémoires of the Royal Danish Academy, that established his priority in pu…blication of the geometric representation of complex numbers. John Wallis had given a geometric representation of the complex roots of quadratic equations in 1685; Gauss had had the idea as early as 1799 but did not explicitly publish it until 1831. Robert Argand's independent publication in 1806 must be credited as the source of this concept in modern mathematics because Wessel's work remained essentially unknown until 1895, when its significance was pointed out by Christian Juel. Despite its lack of influence upon the development of mathematics, Wessel's publication was remarkable in many ways: he was not a professional mathematician; Norway and Denmark were not mathematically productive or stimulating at that time; he was not a member of the Royal Danish Academy (he had been helped and encouraged by J. N. Tetens, councillor of state and president of the science section of the Academy); and yet his exposition was, in some respects, superior to and more modern in spirit than Argand's. The title of Wessel's treatise calls it an 'attempt' to give an analytic representation of both distance and direction that could be used to solve plane and spherical polygons. The connection of this goal with Wessel's work as a surveyor and cartographer is obvious. The statement of the problem also suggests that Wessel should be credited with an early formulation of vector addition. In fact, Michael J. Crowe, in A History of Vector Analysis (University of Notre Dame Press, 1967), defines the first period in that history as that of a search for hypercomplex numbers to be used in space analysis and dates it from the time of Wessel, whom he calls the first to add vectors in three-dimensional space . Wessel's initial formulation was remarkably clear, direct, concise, and modern. It is regrettable that it was not appreciated for nearly a century and hence did not have the influence it merited" (DSB). We have never seen an offprint of this paper, and it is probable that none exists. Not on RBH. "To have a short title for Wessel's On the Analytical Representation of Direction. An Attempt Applied Chiefly to Solving Plane and Spherical Polygons, I call it his Attempt. He opened this by giving the impression that it was born of a wish to find expressions for line segments from which their lengths and directions can be determined and to find a way of calculating with such expressions. This wish seems very natural for a surveyor who had solved an endless number of problems concerning triangles. Wessel added, however, another motivation: he had been seeking a method whereby he could avoid 'the impossible operations'. He also stated that this had paradoxically shown that the possible sometimes has to be sought by 'impossible means'. He did not explain what he meant by 'impossible operations', but it is likely that he thought of extracting the square root of -1, and generally operations with impossible, i.e., complex numbers. If this is the case, it appears that complex numbers were also a source of inspiration for Wessel. "Irrespective of whether Wessel originally started with complex numbers or with line segments, he structured his Attempt as a pursuit of algebraic operations for directed line segments. This idea might be seen as an extension of what Descartes did in La géométrie, namely to show how the operations +, -, ?, :, and ? can be interpreted for traditional line segments. Wessel did not refer to Descartes, but he spent more than a page arguing that it is allowed to conceive of the algebraic operations in a broader sense so that they can be applied to an extended field of quantities . "Wessel's line segments were defined by their directions and their lengths. He himself jus called them lines, whereas I use the expression directed line segments and sometimes only line segments. His conception involves that he considered all parallel line segments which have the same length and the same orientation to be equivalent though he did not use the term. When operating with line segments Wessel in fact chose convenient representants from the equivalence classes. In the following I assume this convention to be understood when I write the directed line segment. "Wessel started by defining addition and multiplication geometrically. His definition of addition is in accordance with the tradition of adding velocities by the parallelogram rule and corresponds to addition of vectors . In a geometrical language he expressed that his addition is commutative and associative. He furthermore emphasized a result concerning polygons which turned out to be essential for his trigo nometric applications of his new algebra. For a quadrangle with vertices a, b, c, and d his theorem states that ab+bc+cd+da = 0. Wessel did not spend many words on subtraction, but noticed that -ba = ab. "The real novelty in Wessel's Attempt is his geometric definition of a product of two directed line segments, and here he took quite an abstract step. First, he introduced a unit, 1, as Descartes had done for his geometric product of two (non-directed) line segments . While Wessel's definition of the sum of two directed line segments applies in three-dimensional space, he only defined multiplication for line segments that are situated in a plane containing the unit. Let oa and ob be two such segments and let oc be the, not yet defined, product. Wessel required that oc shall be situated in the plane determined by oa and ob, and moreover that the product of two straight lines should in every respect be formed from the one factor, in the same way as the other factor is formed from the . unit. If we conceive of oa to be formed from oe [the unit on a chose.
Lingua: Tedesco
Editore: Kobenhagen Höst 1897
- Brossura
- Prima edizione
Da: Antiquariat Gerhard Gruber, Heilbronn, , GermaniaAntiquariat Gerhard Gruber
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(27 x 21 cm). XIV, 60 S. Mit 3 Kupfertafeln. Original-Broschur, unaufgeschnitten. (Om Directionens analytiske Betegning). Erste französische Ausgabe der 1799 erstmals auf Dänisch erschienenen Arbeit über die geometrische Deutung der komplexen Zahlen. Die Arbeit blieb lange Zeit unbekannt und wurde erst durch vorliegende Übersetz…ung weiten Kreisen bekannt. - Einband mit Lichtrand und kleinem Wasserfleck in der rechten unteren Ecke, sonst gut erhalten. - DSB 14, 279.
Lingua: Francese
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Da: S N Books World, Delhi, , IndiaS N Books World
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Leatherbound. Condizione: 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: 92. A perfect gift… for your loved ones. Reprinted from 1897 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: French Pages: 92.
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Da: True World of Books, Delhi, , IndiaTrue World of Books
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LeatherBound. Condizione: New. BOOKS ARE EXEMPT FROM IMPORT DUTIES AND TARIFFS; NO EXTRA CHARGES APPLY. LeatherBound edition. Condition: New. Reprinted from 1897 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 ban…ds. A perfect gift for your loved ones. Pages: 91 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: 91.
Altre immagini- Rilegato
- Prima edizione
Da: Herman H. J. Lynge & Søn ILAB-ABF, Copenhagen, , DanimarcaHerman H. J. Lynge & Søn ILAB-ABF
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Kiøbenhavn, Johan Rudolph Thiele, (1797) 1799. 4to. Recently bound in a nice pastiche-binding of brown half calf with five raised bands and gilt red leather title-label to elaborately gilt spine. Vellum corners and marbled paper over boards. Published in: "Nye Samling af det Kongelige Danske Videnskabernes Selskabs Skrifter." Vo…l. V. A very nice copy. Pp.469-518 + 3 folded engraved plates. First edition of this seminal publication in which Wessel presents the first systematical treatment of the theory of complex numbers and furthermore being the first work to add vectors in three-dimensional space."Wessel?s fame as a mathematician is based entirely on one paper, written in Danish and published in the Mémoires of the Royal Danish Academy, that established his priority in publication of the geometric representation of complex numbers. John Wallis had given a geometric representation of the complex roots of quadratic equations in 1685" Gauss had had the idea as early as 1799 but did not explicitly publish it until 1831. Robert Argand?s independent publication in 1806 must be credited as the source of this concept in modern mathematics because Wessel?s work remained essentially unknown until 1895, when its significance was pointed out by Christian Juel. The title of Wessel?s treatise calls it an "attempt" to give an analytic representation of both distance and direction that could be used to solve plane and spherical polygons. The connection of this goal with Wessel?s work as a surveyor and cartographer is obvious. The statement of the problem also suggests that Wessel should be credited with an early formulation of vector addition. In fact, Michael J. Crowe, in A History of Vector Analysis (University of Notre Dame Press, 1967), defines the first period in that history as that of a search for hypercomplex numbers to be used in space analysis and dates it from the time of Wessel, whom he calls the first to add vectors in three-dimensional space." (DSB).
Altre immaginiOm Directionens analytiske Betegning, et forsøg, anvendt fornemmelig til plane og sphæriske Polygoners Opløsning. (Essai sur la représentation analytique de la direction, avec des applications, en particular à la détermination des polygones plans et d.
"WESSEL, CASPAR. - THE FIRST SYSTEMATICAL THREATMENT OF COMPLEX NUMBERS.
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Da: Herman H. J. Lynge & Søn ILAB-ABF, Copenhagen, , DanimarcaHerman H. J. Lynge & Søn ILAB-ABF
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Kiøbenhavn, Johan Rudolph Thiele, (1797) 1799. 4to. Uncut and unopened in original blue boards. Published in: "Nye Samling af det Kongelige Danske Videnskabernes Selskabs Skrifter." Vol. V. Wessel's paper: pp.469-518 and 3 folded engraved plates (the last plate inserted at p. 463). The whole volume V offered in its original bind…ing. Engraved titlevignette. XII,670 pp., 15 engraved plates. 4 leaves with upper right corners gone, not affecting Wessel's paper. First edition of this important first systematical treatment of the theory of complex numbers and at the same time, the first work to add vectors in three-dimensional space."Wessel?s fame as a mathematician is based entirely on one paper, written in Danish and published in the Mémoires of the Royal Danish Academy, that established his priority in publication of the geometric representation of complex numbers. John Wallis had given a geometric representation of the complex roots of quadratic equations in 1685" Gauss had had the idea as early as 1799 but did not explicitly publish it until 1831. Robert Argand?s independent publication in 1806 must be credited as the source of this concept in modern mathematics because Wessel?s work remained essentially unknown until 1895, when its significance was pointed out by Christian Juel. The title of Wessel?s treatise calls it an "attempt" to give an analytic representation of both distance and direction that could be used to solve plane and spherical polygons. The connection of this goal with Wessel?s work as a surveyor and cartographer is obvious. The statement of the problem also suggests that Wessel should be credited with an early formulation of vector addition. In fact, Michael J. Crowe, in A History of Vector Analysis (University of Notre Dame Press, 1967), defines the first period in that history as that of a search for hypercomplex numbers to be used in space analysis and dates it from the time of Wessel, whom he calls the first to add vectors in three-dimensional space." (DSB).
Altre immagini- Rilegato
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Da: Gyan Books Pvt. Ltd., Delhi, , IndiaGyan Books Pvt. Ltd.
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Leather Bound. Condizione: New. Language: French. {Size: 14.60 x 22.86 cms} Presenting an Exquisite Leather-Bound Edition, expertly crafted with Original Natural Leather that gracefully adorns the spine and corners. The allure continues with Golden Leaf Printing that adds a touch of elegance, while Hand Embossing on the rounded…spine lends an artistic flair. This masterpiece has been meticulously reprinted in 2015, utilizing the invaluable guidance of the original edition published many years ago in 1897. The contents of this book are presented in classic black and white. Its durability is ensured through a meticulous sewing binding technique, enhancing its longevity. Imprinted on top-tier quality paper. A team of professionals has expertly processed each page, delicately preserving its content without alteration. Due to the vintage nature of these books, every page has been manually restored for legibility. However, in certain instances, occasional blurriness, missing segments, or faint black spots might persist. We sincerely hope for your understanding of the challenges we faced with these books. Recognizing their significance for readers seeking insight into our historical treasure, we've diligently restored and reissued them. Our intention is to offer this valuable resource once again. We eagerly await your feedback, hoping that you'll find it appealing and will generously share your thoughts and recommendations. Lang: - French, Pages:- 78, Print on Demand. If it is a multi-volume set, then it is only a single volume. We are specialised in Customisation of books, if you wish to opt different color leather binding, you may contact us. This service is chargeable. Product Disclaimer: Kindly be informed that, owing to the inherent nature of leather as a natural material, minor discolorations or textural variations may be perceptible. Explore the FOLIO EDITION (12x19 Inches): Available Upon Request. 78.
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Da: Gyan Books Pvt. Ltd., Delhi, , IndiaGyan Books Pvt. Ltd.
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Leather Bound. Condizione: New. Language: French. Language: French. Presenting an Exquisite Leather-Bound Edition, expertly crafted with Original Natural Leather that gracefully adorns the spine and corners. The allure continues with Golden Leaf Printing that adds a touch of elegance, while Hand Embossing on the rounded spine le…nds an artistic flair. This masterpiece has been meticulously reprinted in 2024, utilizing the invaluable guidance of the original edition published many years ago in 1897. The contents of this book are presented in classic black and white. Its durability is ensured through a meticulous sewing binding technique, enhancing its longevity. Imprinted on top-tier quality paper. A team of professionals has expertly processed each page, delicately preserving its content without alteration. Due to the vintage nature of these books, every page has been manually restored for legibility. However, in certain instances, occasional blurriness, missing segments, or faint black spots might persist. We sincerely hope for your understanding of the challenges we faced with these books. Recognizing their significance for readers seeking insight into our historical treasure, we've diligently restored and reissued them. Our intention is to offer this valuable resource once again. We eagerly await your feedback, hoping that you'll find it appealing and will generously share your thoughts and recommendations. Lang: - French, Pages: - 90, Print on Demand. If it is a multi-volume set, then it is only a single volume. We are specialised in Customisation of books, if you wish to opt different color leather binding, you may contact us. This service is chargeable. Product Disclaimer: Kindly be informed that, owing to the inherent nature of leather as a natural material, minor discolorations or textural variations may be perceptible. Explore the FOLIO EDITION (12x19 Inches): Available Upon Request. 90 90.
Da: Herman H. J. Lynge & Søn ILAB-ABF, Copenhagen, , DanimarcaHerman H. J. Lynge & Søn ILAB-ABF
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(København, 1771). (59 x 69 cm.). Kobberstukket kort over Sydøstsjælland fra Køge Bugt til den nordlige del af Møn. Opdelt i 24 sektioner og opsat på lærred således, at det ved foldning let kunne medbringes. Enkelte svage brunpletter. Det første videnskabelige kort over Sydøstsjælland, som en del af Wessels berømte Sjællands-kva…rtet. Da kortet udkom var det den mest præcise kortprojektion overhovedet, idet Wessel anvendte sin opdagelse vedrørende de komplekse tal.- Bibl. Dan.II,603.
Da: Herman H. J. Lynge & Søn ILAB-ABF, Copenhagen, , DanimarcaHerman H. J. Lynge & Søn ILAB-ABF
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(København), 1772. 57x69 cm. Kobberstukket kort over Sydvestsjælland med Store Bælt, Nordlangeland og Østfyn i samtidig håndkolorereing (kystlinjerne og signaturerne). Det første videnskabelige kort over Sydvestsjælland, som en del af Wessels berømte Sjællands-kvartet. Da kortet udkom var det den mest præcise kortprojektion over…hovedet, idet Wessel anvendte sin opdagelse vedrørende de komplekse tal. Sjælden i koloreret stand.
Da: Herman H. J. Lynge & Søn ILAB-ABF, Copenhagen, , DanimarcaHerman H. J. Lynge & Søn ILAB-ABF
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(København), 1771. (59 x 69 cm.). Kobberstukket kort over Nordøstsjælland. Opdelt i 24 sektioner og opsat på lærred således, at det ved foldning let kunne medbringes. Det første videnskabelige kort over Nordøstsjælland, som den første udgvne del af Wessels berømte Sjællands-kvartet udgivet af Videnskabernes Selskab. Da kortet ud…kom var det den mest præcise kortprojektion overhovedet, idet Wessel anvendte sin opdagelse vedrørende de komplekse tal. Dette kort er det første og mest eftertragtede af Videnskabernes Selskabs opmåling af Danmark.Bibl.Danica II,603. - Bramsen p. 146, gengivet.
Kort over Siælland og Møen med tilgrænsende Kyster af Skaane, Falster, Laaland, Langeland, Thorsinge, Fyen, Samsöe og Jylland under det Kongl. Videnskabernes Selskabs Direction ved rigtig Landmaaling optaget og ved trigonometriske samt astronomiske Op.
SJÆLLAND & MØN - WESSEL, CASPAR & H. SKANKE.
Da: Herman H. J. Lynge & Søn ILAB-ABF, Copenhagen, , DanimarcaHerman H. J. Lynge & Søn ILAB-ABF
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(København), 1777. 62x68 cm. Kobberstukket kort opdelt i 24 sektioner og opsat på lærred, foldet i en samtidig kassette. Originaltrykket af Videnskabernes selskabs general-kort over Sjælland m.v., som blev til efter Wessel havde tegnet sine 4 delkort over Sjælland (1768-72) og Skanke havde fuldført sit detailkort over Mön, Falst…er og Lolland (1776). General-kortet er, ligesom Wessels detailkort, en milepæl i kartografien, idet Wessel anvendte sin opdagelse vedrørende de komplekse tal til denne projektion.
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Da: Gyan Books Pvt. Ltd., Delhi, , IndiaGyan Books Pvt. Ltd.
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Full Leather Bound. Condizione: NEW. Language: French. {Size: 14.60 x 22.86 cms} A Unique Premium Leather-Bound book for elite readers/collectors of old rare books. An Original Leather is being used for binding this book with Golden Leaf Printing and designing on Spine, front and Back of the book with edge gilding. WE HAVE MULTI…PLE OPTIONS IN COLOR OF LEATHER RED, GREEN, BLUE, MAGENTA, TAN, PURPLE DEEP BROWN, BLACK AND WITH DIFFERENT COLOR LABELS. YOU MAY CHOOSE ANY COLOR OF YOUR CHOICE AND MAIL US. This service is chargeable. Original edition was published in [1897] and this unique edition is Reprinted in 2015 with the help of original edition. Black & white printing on high quality natural shade paper with sewing binding for longer life, professionally processed without changing its contents. As these are old books, we processed each page manually on computer and make them readable. We give our best to give you the best book but in some cases we have to adjust few pages which are blur or missing or black spots. If it is multi volume set, then it is only single volume. We hope that you understand these issues in these old treasure. This is an important book for the readers who want to know more about our old treasure. Our dedicated team is trying to bring these rare books back to the shelves. We are also giving service of printing the hard-to-find books which are not listed in our store. Hope you will like it and give your comments and suggestions. Lang: - French, Pages 78, Print on Demand. Product Disclaimer: Please be aware that because leather is a natural material, slight discoloration or change in texture may be visible. {FOLIO EDITION (Size 12x19 Inches) IS ALSO AVAILABLE ON REQUEST}. 78.
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Leather Bound. Condizione: New. Language: French. Language: French. Presenting an Exquisite Leather-Bound Edition, expertly crafted with Original Natural Leather that gracefully adorns the spine and corners. The allure continues with Golden Leaf Printing that adds a touch of elegance, while Hand Embossing on the rounded spine le…nds an artistic flair. This masterpiece has been meticulously reprinted in 2024, utilizing the invaluable guidance of the original edition published many years ago in 1897. The contents of this book are presented in classic black and white. Its durability is ensured through a meticulous sewing binding technique, enhancing its longevity. Imprinted on top-tier quality paper. A team of professionals has expertly processed each page, delicately preserving its content without alteration. Due to the vintage nature of these books, every page has been manually restored for legibility. However, in certain instances, occasional blurriness, missing segments, or faint black spots might persist. We sincerely hope for your understanding of the challenges we faced with these books. Recognizing their significance for readers seeking insight into our historical treasure, we've diligently restored and reissued them. Our intention is to offer this valuable resource once again. We eagerly await your feedback, hoping that you'll find it appealing and will generously share your thoughts and recommendations. Lang: - French, Pages: - 92, Print on Demand. If it is a multi-volume set, then it is only a single volume. We are specialised in Customisation of books, if you wish to opt different color leather binding, you may contact us. This service is chargeable. Product Disclaimer: Kindly be informed that, owing to the inherent nature of leather as a natural material, minor discolorations or textural variations may be perceptible. Explore the FOLIO EDITION (12x19 Inches): Available Upon Request. 92 92.
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Da: Gyan Books Pvt. Ltd., Delhi, , IndiaGyan Books Pvt. Ltd.
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Leather Bound. Condizione: New. Language: French. Language: French. Presenting an Exquisite Leather-Bound Edition, expertly crafted with Original Natural Leather that gracefully adorns the spine and corners. The allure continues with Golden Leaf Printing that adds a touch of elegance, while Hand Embossing on the rounded spine le…nds an artistic flair. This masterpiece has been meticulously reprinted in 2024, utilizing the invaluable guidance of the original edition published many years ago in 1897. The contents of this book are presented in classic black and white. Its durability is ensured through a meticulous sewing binding technique, enhancing its longevity. Imprinted on top-tier quality paper. A team of professionals has expertly processed each page, delicately preserving its content without alteration. Due to the vintage nature of these books, every page has been manually restored for legibility. However, in certain instances, occasional blurriness, missing segments, or faint black spots might persist. We sincerely hope for your understanding of the challenges we faced with these books. Recognizing their significance for readers seeking insight into our historical treasure, we've diligently restored and reissued them. Our intention is to offer this valuable resource once again. We eagerly await your feedback, hoping that you'll find it appealing and will generously share your thoughts and recommendations. Lang: - French, Pages: - 77, Print on Demand. If it is a multi-volume set, then it is only a single volume. We are specialised in Customisation of books, if you wish to opt different color leather binding, you may contact us. This service is chargeable. Product Disclaimer: Kindly be informed that, owing to the inherent nature of leather as a natural material, minor discolorations or textural variations may be perceptible. Explore the FOLIO EDITION (12x19 Inches): Available Upon Request. 77 77.
