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Publisher: New York: Courant Institute of Mathematical Sciences, New York UniversityPublication date: 1944Notes: This is an OCR reprint. There may be numerous typos or missing text. There are no illustrations or indexes.When you buy the General Books edition of this book you get free trial access to Million-Books.com where you can select from more than a million books for free. You can also preview the book there. ... Read more

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"Was ist Mathematik?" lädt jeden ein, das Reich der Mathematik zu betreten, der neugierig genug ist, sich auf ein Abenteuer einzulassen. Das Buch richtet sich an Leser jeden Alters und jeder Vorbildung. Gymnasiallehrer erhalten eine Fülle von Beispielen, Studenten bietet es Orientierung, und Dozenten werden sich an den Feinheiten der Darstellung zweier Meister ihres Faches erfreuen. ... Read more

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This is one of the most important and influential books on calculus ever written. It has been reprinted more than twenty times and translated into several other languages, including Russian, and published in the Soviet Union and many other places. We especially want to thank Marvin Jay Greenberg, Emeritus Professor of Mathematics, University of California at Santa Cruz, for his Appendix on Infinitesimals, which includes recent discoveries on Hyperreals and Nilpotent Infinitesimals, and for his bibliography and references, which include up-to-date references to current publications in 2010. A professor of mathematics writes: "I've enjoyed with great pleasure your foreword, discovering many interesting things about Courant's life and his thoughts. In particular, your citations about the antithesis between intuition and rigor were very illuminating, because it corresponds to the methodological thread I'm trying to follow developing the theory of Fermat reals. "Infinitesimals without "mysticism", explicit or fogged into unclear logical methods, seems possible. Now, I think we can make a step further, because the rigor increases our possibility to understand." ... Read more

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the book is green and the only markings is the teacher's name on the front page. he took well care of the book. ... Read more

Customer Reviews (1)

Best Analysis Book for Learning
Although sometimes not the most rigorous, this book provides a firm foundation of Analysis and is definitely the best book I have found for learning concepts. ... Read more

Customer Reviews (2)

Great Deal!!!
So much more than I thought I'd get, and the books were in great condition.

Pleased
First time purchasing a book from amazon, not only did I save lots of money, my book was like new. I know for sure this won't be the last!!! ... Read more

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Introducción interesante a la matemática moderna
Esta es una introducción muy interesante y bien escrita a la matemática moderna, dirigida a un lector no técnico. Es una traducción de la edición en inglés de 1996, What Is Mathematics? An Elementary Approach to Ideas and Methods. No hay material adicional más de lo que está en la edición en inglés, pero algunos errores se han corregido, y los dibujos se han sido redibujados y son mucho más claros. El libro sólo requiere algunos conocimientos de álgebra y geometría, y los capítulos se pueden leer en cualquier orden. El libro le da una buena idea de la evolución de la matemática moderna.

Los capítulos son:

I. Los Números Naturales
II. El Sistema de Números de las Matemáticas
III. Construcciones Geométricas. El Álgebra de los Campos Numéricos.
IV. Geometría Proyectiva. Axiomática. Geometrías no euclidianas.
V. Topología
VI. Funciones y Límites
VII. Máximos y Mínimos
VIII. El Cálculo
IX. Avances Recientes ... Read more

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The Springer edition of this book is an unchanged reprint of Courant and Friedrich's classical treatise which was first published in 1948. The basic research for it took place during World War II, but there are many aspects which still make the book interesting as a text and as a reference. It treats basic aspects of the dynamics of compressible fluids in mathematical form, and attempts to present a systematic theory of nonlinear wave propagation, particularly in relation to gas dynamics. Written in the form of an advanced textbook, it accounts for classical as well as some fairly recent developments. The authors intend their audience to be engineers, physicists and mathematicians alike. ... Read more

Customer Reviews (1)

Classic book on shock waves
Title self-explanatory. This is a standard reference for all of shock wave theory. Many of the mathematical methods in the book are now obsolete. i.e. We do things computationally now. Still worth having on your book shelf. Excellent coverage of characteristic rays. I have made "powerpoint" presentations based on the material in this book, so it must be worth something. ... Read more

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Les achats comprennent une adhésion à l'essai gratuite au club de livres de l'éditeur, dans lequel vous pouvez choisir parmi plus d'un million d'ouvrages, sans frais. Le livre consiste d'articles Wikipedia sur : Emmy Noether, Alexandre Grothendieck, Richard Courant. Non illustré. Mises à jour gratuites en ligne. Extrait : Amalie Emmy Noether (23 mars 1882 - 14 avril 1935) était une mathématicienne allemande connue pour ses contributions révolutionnaires en algèbre abstraite et physique théorique. Décrite par Albert Einstein et d'autres comme la femme la plus importante de l'Histoire des mathématiques, elle a révolutionné les théories des anneaux, des corps et des algèbres. En physique, le théorème de Noether explique le lien fondamental entre la symétrie et les lois de conservation. Elle naît dans une famille juive d'Erlangen, en Bavière. Son père est le mathématicien Max Noether. Emmy envisage d'abord d'enseigner le français et l'anglais après avoir passé les examens requis, mais étudie finalement les mathématiques à l'université d'Erlangen où son père donne des conférences. Après avoir achevé sa thèse en 1907 sous la direction de Paul Gordan, elle travaille bénévolement à l'Institut de Mathématiques d'Erlangen pendant sept ans. En 1915, elle est invitée par David Hilbert et Felix Klein à rejoindre le très renommé département de mathématiques de l'université de Göttingen. Cependant, en raison de l'opposition de la faculté de philosophie, elle doit pendant quatre ans donner des cours sous le nom de Hilbert. Son habilitation est obtenue en 1919, elle acquiert le titre de privatdozent. Noether reste un des membres les plus influents du département de mathématiques de Göttingen jusqu'en 1933. En 1924, le mathématicien néerlandais Bartel Leendert van der Waerden rejoint le cercle de ses étudiants et devient le principal propagateur des idées de Noether, dont le travail servira de fondation à son très influent ouvrage : Algèbre mode...http://booksllc.net/?l=fr ... Read more

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This digital document, covering the life and work of Richard Courant, is an entry from Contemporary Authors, a reference volume published by Thompson Gale. The length of the entry is 2198 words. The page length listed above is based on a typical 300-word page. Although the exact content of each entry from this volume can vary, typical entries include the following information:

• Place and date of birth and death (if deceased)
• Family members
• Education
• Professional associations and honors
• Employment
• Writings, including books and periodicals
• A description of the author's work
• References to further readings about the author

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Chapters: People From Lubliniec, Richard Courant, Hans Lammers, Eva Gabriele Reichmann, Michael Kutzop, Zygmunt Anczok, Andrzej Grzesik. Source: Wikipedia. Pages: 24. Not illustrated. Free updates online. Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Excerpt: Richard Courant (January 8, 1888 January 27, 1972) was a German mathematician. Courant was born in Lublinitz in the German Empire's Prussian Province of Silesia. During his youth, his parents had to move quite often, to Glatz, Breslau, and in 1905 to Berlin. He stayed in Breslau and entered the university there. As he found the courses not demanding enough, he continued his studies in Zürich and Göttingen. Courant eventually became David Hilbert's assistant in Göttingen and obtained his doctorate there in 1910. He had to fight in World War I, but he was wounded and dismissed from the military service shortly after enlisting. After the war, in 1919, he married Nerina (Nina) Runge, a daughter of the Göttingen professor for Applied Mathematics, Carl Runge. Richard continued his research in Göttingen, with a two-year period as professor in Münster. There he founded the Mathematical Institute, which he headed as director from 1928 until 1933. Courant left Germany in 1933, earlier than many of his colleagues. While he was classified as a Jew by the Nazis, his having served as a front-line soldier exempted him from losing his position for this particular reason at the time; however, his public membership in the social-democratic left was a reason for dismissal to which no such exemption applied. After one year in Cambridge, Courant went to New York City where he became a professor at New York University in 1936. He was given the task of founding an institute for graduate studies in mathematics, a task which he carried out very successfully. The Courant Institute of Mathematical Science...More: http://booksllc.net/?id=715238 ... Read more