differential geometry of curves and surfaces

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Differential Geometry of Curves and Surfaces【電子書籍】 Thomas F. BanchoffDifferential Geometry of Curves and Surfaces Revised and Updated Second Edition【電子書籍】 Manfredo P. do CarmoElementary Differential Geometry (Springer Undergraduate Mathematics Series)Introduction to Differential Geometry of Space Curves and Surfaces (English Edition)A Treatise on the Differential Geometry of Curves and SurfacesTensor Algebra and Analysis for Engineers With Applications to Differential Geometry of Curves and Surfaces【電子書籍】 Paolo VannucciDifferential Geometry of Curves and Surfaces (Undergraduate Texts in Mathematics) (English Edition)Differential Geometry Of Curves And Surfaces With Singularities【電子書籍】 Masaaki UmeharaDifferential Geometry Of Curves And Surfaces【電子書籍】 Masaaki UmeharaDifferential Geometry of Curves and Surfaces【電子書籍】 Kristopher TappDifferential Geometry of Curves and SurfacesDifferential Geometry of Curves and Surfaces【電子書籍】 Thomas F. BanchoffModern Differential Geometry of Curves and Surfaces with Mathematica【電子書籍】 Elsa AbbenaDifferential Geometry of Curves and Surfaces: Revised and Updated Second Edition (Dover Books on Mathematics)Differential Geometry of Curves and Surfaces (Springer Undergraduate Mathematics Series)Solutions of Exercises of Introduction to Differential Geometry of Space Curves and SurfacesDifferential Geometry of Curves and Surfaces: Revised and Updated Second Edition (Dover Books on Mathematics) ペーパーバック do CarmModern Differential Geometry of Curves and Surfaces with Mathematica (Textbooks in Mathematics) (English Edition)A Treatise on the Differential Geometry of Curves and Surfaces【電子書籍】 Luther Pfahler EisenhartDifferential Geometry of Curves and Surfaces: Revised and Updated Second Edition (Dover Books on Mathematics) (English Edition)Differential Geometry of Curves and Surfaces (English Edition)
 

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  • <p>Differential Geometry of Curves and Surfaces, Second Edition takes both an analytical/theoretical approach and a visual/intuitive approach to the local and global properties of curves and surfaces. Requiring only multivariable calculus and linear algebra, it develops students' geometric intuition through interactive computer graphics applets suppor</p>画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。
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  • <p>One of the most widely used texts in its field, this volume introduces the differential geometry of curves and surfaces in both local and global aspects. The presentation departs from the traditional approach with its more extensive use of elementary linear algebra and its emphasis on basic geometrical facts rather than machinery or random details. Many examples and exercises enhance the clear, well-written exposition, along with hints and answers to some of the problems.<br /> The treatment begins with a chapter on curves, followed by explorations of regular surfaces, the geometry of the Gauss map, the intrinsic geometry of surfaces, and global differential geometry. Suitable for advanced undergraduates and graduate students of mathematics, this text's prerequisites include an undergraduate course in linear algebra and some familiarity with the calculus of several variables. For this second edition, the author has corrected, revised, and updated the entire volume.</p>画面...
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  • <p>In modern theoretical and applied mechanics, tensors and differential geometry are two almost essential tools. Unfortunately, in university courses for engineering and mechanics students, these topics are often poorly treated or even completely ignored. At the same time, many existing, very complete texts on tensors or differential geometry are so advanced and written in abstract language that discourage young readers looking for an introduction to these topics specifically oriented to engineering applications.</p> <p>This textbook, mainly addressed to graduate students and young researchers in mechanics, is an attempt to fill the gap. Its aim is to introduce the reader to the modern mathematical tools and language of tensors, with special applications to the differential geometry of curves and surfaces in the Euclidean space. The exposition of the matter is sober, directly oriented to problems that are ordinarily found in mechanics and engineering. Also, the language and s...
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  • <p>This book provides a unique and highly accessible approach to singularity theory from the perspective of differential geometry of curves and surfaces. It is written by three leading experts on the interplay between two important fields ー singularity theory and differential geometry.The book introduces singularities and their recognition theorems, and describes their applications to geometry and topology, restricting the objects of attention to singularities of plane curves and surfaces in the Euclidean 3-space. In particular, by presenting the singular curvature, which originated through research by the authors, the Gauss-Bonnet theorem for surfaces is generalized to those with singularities. The Gauss-Bonnet theorem is intrinsic in nature, that is, it is a theorem not only for surfaces but also for 2-dimensional Riemannian manifolds. The book also elucidates the notion of Riemannian manifolds with singularities.These topics, as well as elementary descriptions of proofs of the...
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  • <p>'In a class populated by students who already have some exposure to the concept of a manifold, the presence of chapter 3 in this text may make for an unusual and interesting course. The primary function of this book will be as a text for a more conventional course in the classical theory of curves and surfaces.'</p> <p>MAA Reviews</p> <p>This engrossing volume on curve and surface theories is the result of many years of experience the authors have had with teaching the most essential aspects of this subject. The first half of the text is suitable for a university-level course, without the need for referencing other texts, as it is completely self-contained. More advanced material in the second half of the book, including appendices, also serves more experienced students well.Furthermore, this text is also suitable for a seminar for graduate students, and for self-study. It is written in a robust style that gives the student the opportunity to continue his study at a hig...
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  • <p>This is a textbook on differential geometry well-suited to a variety of courses on this topic. For readers seeking an elementary text, the prerequisites are minimal and include plenty of examples and intermediate steps within proofs, while providing an invitation to more excursive applications and advanced topics. For readers bound for graduate school in math or physics, this is a clear, concise, rigorous development of the topic including the deep global theorems. For the benefit of all readers, the author employs various techniques to render the difficult abstract ideas herein more understandable and engaging.</p> <p>Over 300 color illustrations bring the mathematics to life, instantly clarifying concepts in ways that grayscale could not. Green-boxed definitions and purple-boxed theorems help to visually organize the mathematical content. Color is even used within the text to highlight logical relationships.</p> <p>Applications abound! The study of conformal and equia...
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    商品の説明

  • <p>Through two previous editions, the third edition of this popular and intriguing text takes both an analytical/theoretical approach and a visual/intuitive approach to the local and global properties of curves and surfaces.</p> <p>Requiring only multivariable calculus and linear algebra, it develops students’ geometric intuition through interactive graphics applets. Applets are presented in Maple workbook format, which readers can access using the free Maple Player.</p> <p>The book explains the reasons for various definitions while the interactive applets offer motivation for definitions, allowing students to explore examples further, and give a visual explanation of complicated theorems. The ability to change parametric curves and parametrized surfaces in an applet lets students probe the concepts far beyond what static text permits. Investigative project ideas promote student research.</p> <p>At users of the previous editions' request, this third edition offers a br...
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  • <p>Presenting theory while using <em>Mathematica</em> in a complementary way, <strong>Modern Differential Geometry of Curves and Surfaces with Mathematica,</strong> the third edition of Alfred Gray’s famous textbook, covers how to define and compute standard geometric functions using <em>Mathematica</em> for constructing new curves and surfaces from existing ones. Since Gray’s death, authors Abbena and Salamon have stepped in to bring the book up to date. While maintaining Gray's intuitive approach, they reorganized the material to provide a clearer division between the text and the <em>Mathematica</em> code and added a <em>Mathematica</em> notebook as an appendix to each chapter. They also address important new topics, such as quaternions.</p> <p>The approach of this book is at times more computational than is usual for a book on the subject. For example, Brioshi’s formula for the Gaussian curvature in terms of the first fundamental form can be too complic...
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  • 【30日間返品保証】商品説明に誤りがある場合は、無条件で弊社送料負担で商品到着後30日間返品を承ります。【最短翌日到着】正午12時まで(日曜日は午前9時まで)の注文は当日発送(土日祝も発送)。関東・関西・中部・中国・四国・九州地方は翌日お届け、東北地方・新潟県・北海道・沖縄県は翌々日にお届けします。【インボイス制度対応済み】当社ではインボイス制度に対応した適格請求書発行事業者番号(通称:T番号・登録番号)を印字した納品書(明細書)を商品に同梱してお送りしております。こちらをご利用いただくことで、税務申告時や確定申告時に消費税額控除を受けることが可能になります。また、適格請求書発行事業者番号の入った領収書・請求書をご注文履歴からダウンロードしていただくこともできます(宛名はご希望のものを入力していただけます)。ご満足のいく取引となるよう精一杯対応させていただきます。※下記に商品説明およびコンディション詳細、出荷予定・配送方法・お届けまでの期間について記載しています。ご確認の上ご購入ください。■商品名■Differential Geometry of Curves and Surfaces: Revised and Updated Second Edition (Dover Books on...
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    商品の説明

  • 【30日間返品保証】商品説明に誤りがある場合は、無条件で弊社送料負担で商品到着後30日間返品を承ります。【最短翌日到着】正午12時まで(日曜日は午前9時まで)の注文は当日発送(土日祝も発送)。関東・関西・中部・中国・四国・九州地方は翌日お届け、東北地方・新潟県・北海道・沖縄県は翌々日にお届けします。【インボイス制度対応済み】当社ではインボイス制度に対応した適格請求書発行事業者番号(通称:T番号・登録番号)を印字した納品書(明細書)を商品に同梱してお送りしております。こちらをご利用いただくことで、税務申告時や確定申告時に消費税額控除を受けることが可能になります。また、適格請求書発行事業者番号の入った領収書・請求書をご注文履歴からダウンロードしていただくこともできます(宛名はご希望のものを入力していただけます)。ご満足のいく取引となるよう精一杯対応させていただきます。※下記に商品説明およびコンディション詳細、出荷予定・配送方法・お届けまでの期間について記載しています。ご確認の上ご購入ください。■商品名■Differential Geometry of Curves and Surfaces: Revised and Updated Second Edition (Dover Books on...
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    商品の説明

  • <p>Created especially for graduate students, this introductory treatise on differential geometry has been a highly successful textbook for many years. Its unusually detailed and concrete approach includes a thorough explanation of the geometry of curves and surfaces, concentrating on problems that will be most helpful to students. 1909 edition.</p>画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。
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