Orders of infinity,: Thr 'InfinitaÌrcalcuÌl' of Paul du Bois-Reymond (Cambridge tracts in mathematics and mathematical physics) By G. H Hardy Publisher: University press Number Of Pages: 77 Publication Date: 1954 ISBN-10 / ASIN: B0007IVB1C ISBN-13 / EAN: Binding: Unknown Binding
Infinity: Beyond the Beyond the Beyond By Lillian R. Lieber Publisher: Paul Dry Books Number Of Pages: 359 Publication Date: 2007-11-01 ISBN-10 / ASIN: 1589880366 ISBN-13 / EAN: 9781589880368 Binding: Paperback Product Description: "Another excellent book for the lay reader of mathematics . . . In explaining [infinity], the author introduces the reader to a good many other mathematical terms and concepts that seem unintelligible in a formal text but are much less formidable when presented in the author's individual and very readable style."-Library Journal "The interpolations tying mathematics into human life and thought are brilliantly clear."-Booklist "Mrs. Lieber, in this text illustrated by her husband, Hugh Gray Lieber, has tackled the formidable task of explaining infinity in simple terms, in short line, short sentence technique popularized by her in The Education of T.C. MITS."-Chicago Sunday Tribune Infinity, another delightful mathematics book from the creators of The Education of T.C. MITS, offers an entertaining, yet thorough, explanation of the concept of, yes, infinity. Accessible to non-mathematicians, this book also cleverly connects mathematical reasoning to larger issues in society. The new foreword by Harvard mathematics professor Barry Mazur is a tribute to the Liebers' influence on generations of mathematicians. or
Understanding the Infinite By Shaughan Lavine Publisher: Harvard University Press Number Of Pages: 376 Publication Date: 1994-09-23 ISBN-10 / ASIN: 0674920961 ISBN-13 / EAN: 9780674920965 Binding: Hardcover Product Description: How can the infinite, a subject so remote from our finite experience, be an everyday working tool for the working mathematician? Blending history, philosophy, mathematics and logic, Shaughan Lavine answers this question with clarity. An account of the origins of the modern mathematical theory of the infinite, his book is also a defense against the attacks and misconceptions that have dogged this theory since its introduction in the late 19th century. With his development of set theory in the 1880s, Georg Cantor introduced the infinite into mathematics. But his theory, both critics and supporters have charged, was subject to paradoxes proceeding from Cantor's "naive intuitions", and this verdict has had an enormous impact on the philosophy of mathematics. Lavine effectively reverses this charge by showing that set theory is in fact an excellent example of the posititve and necessary role of intuition in mathematics. His history, moving from Greek geometry through the development of calculus to the evolution of set theory, ultimately leads to the crux of the issue: the source of our intuitions concerning the infinite. Along the way, he offers a careful and critical discussion of differing views across the philosophical spectrum. Making use of the mathematical work of Jan Mycielski, formerly accessible only to logicians, Lavine demonstrates that knowledge of the infinite is possible, even according to strict standards that require some intuitive basis for knowledge. He shows that the source of our intuitions concerning Cantor's infinite, as a matter of historical and psychological fact, is extrapolation from ordinary experience of the indefinitely large. or
بارك الله فيك وجزاك الله كل خير على هذا المجهود الطيب ، أنا طالب في كلية العلوم تخصص الرياضيات و الآن أعمل بحث عن infinity and extended real number analysis و هذي الكتب ستخدمني كثيرا فلا أملك الا الشكر و الدعاء لكم بالتوفيق و السداد و الاستمرارية على هذا النهج و العطاء الدائم
Re: رد : Some books about Infinity بارك الله فيك أخي العزيز آهٍ كم أتمنى أن يكون هذا الدعاء صادقاً من قلبك فكم أنا بحاجة ماسة لمثل هذا الدعاء أسأل الله أن يوفقك في بحثك ويسدد خطاك وشكراً على حضوركم المتميز
