[{"id":180237,"title":"Calculus of One Variable","subtitle":null,"description":"This is a textbook about Calculus of One Variable for students of Mathematics in the 21 st century. Its objective is to really teach students, i.e. to provide them with the necessary knowledge about Calculus of a One Variable and build up their abilities to use this wealth of information constructively in applications. In calculus, this means that the students should learn the concepts, the principles, the theorems, and the properties that relate the various mathematical entities, they should solve the exercises and the problems and they should improve their ability to apply their new knowledge in applications. A calculator of any type (for numerical or algebraic calculations) must be considered as a helping servant who cannot and must not be allowed to replace a thinking mind and a writing hand.\u003cbr\u003e\u003cbr\u003eThis course is designed to cover a little more than the needs of an average first year student in mathematics, physics or engineering. It consists of eight chapters:\u003cbr\u003eChapter 1: Numbers\u003cbr\u003eChapter 2: Sequences\u003cbr\u003eChapter 3: Functions\u003cbr\u003eChapter 4: Limits and Continuity\u003cbr\u003eChapter 5: Derivatives\u003cbr\u003eChapter 6: Integrals\u003cbr\u003eChapter 7: Series\u003cbr\u003eChapter 8: Generalized Integrals \u003cbr\u003e\u003cbr\u003eEach chapter contains the basic theory and many related problems. The theory is supplemented with material given online in various forms (examples, theorems, proofs, calculations, extensions, applications, etc.). Also, the solutions of the problems are given online. Thus the printed part of the book remains small and constitutes the basis for building the course. The online material can be easily reached and is used for two purposes: to enhance the amount of knowledge provided to the student and to facilitate the solution of the problems. The student should read and understand the printed part, read and try to understand the material of the additions and then try to solve the problems. The most appropriate method for learning calculus is to read carefully the theory and try to use it by solving problems and in applications.\u003cbr\u003e\u003cbr\u003eThis book has been created with great respect to the student of the 21st century, in order to support their strenuous efforts for education in limited time and financial means. 1 have tried to make it easier to understand and to use, thorough and rigorous, with many inovations. But most of all I did it My Way.\u003cbr\u003e\u003cbr\u003e(from the preface of Sotirios C. Persidis)","image":"http://www.biblionet.gr/images/covers/b183362.jpg","isbn":"978-960-7610-38-6","isbn13":"978-960-7610-38-6","ismn":null,"issn":null,"series":{"id":10674,"name":"Alive Books","books_count":1,"tsearch_vector":"'alive' 'books'","created_at":"2017-04-13T02:31:14.079+03:00","updated_at":"2017-04-13T02:31:14.079+03:00"},"pages":96,"publication_year":2012,"publication_place":"Αθήνα","price":"14.0","price_updated_at":"2012-10-15","cover_type":"Μαλακό εξώφυλλο","availability":"Κυκλοφορεί","format":"Βιβλίο","original_language":null,"original_title":null,"publisher_id":19,"extra":null,"biblionet_id":183362,"url":"https://v2.bibliography.gr/books/calculus-of-one-variable.json"},{"id":181596,"title":"Χιούμορ + μαθηματικά","subtitle":null,"description":"Τα Μαθηματικά είναι μέρος του πολιτισμού της ανθρωπότητας. Ο άνθρωπος είναι το μόνο ζώο που έχει χιούμορ. Η κομψότητα στα Μαθηματικά είναι ευθέως ανάλογη με τον αριθμό των ιδεών που ένας συλλογισμός μάς επιτρέπει να αντιληφθούμε, και αντιστρόφως ανάλογη με την προσπάθεια που θα πρέπει να κάνουμε γι'' αυτό. Αλλά το ίδιο δεν ισχύει και για το καλό χιούμορ; Το βιβλίο του Ιωάννη Σταμέλου αποτελεί μια πρωτότυπη προσπάθεια να γεφυρωθεί το χάσμα ανάμεσα στα εξ ορισμού \"σοβαρά\" μαθηματικά και στο χιούμορ. Όπως λέει ο καθηγητής του Πανεπιστημίου Κρήτης Μιχαήλ Λάμπρου \"δεν βλέπει κανείς μαθηματικούς τύπους, αξιώματα, θεωρήματα, λήμματα και πορίσματα στο βιβλίο, εντούτοις βλέπει μια εμβριθή συλλογή από μικρές διασκεδαστικές ιστορίες, σαν σοφά ρητά, με ένα δίδαγμα η κάθε μία. Πρόκειται για ένα απολαυστικό βιβλίο, γραμμένο με χάρη. Ένα βιβλίο που το χιούμορ είναι η κοινή συνιστώσα των διδαγμάτων του.\" Ή όπως λέει ο σκιτσογράφος Κ. Μητρόπουλος \"ένα βιβλίο διαβαστερό, δροσερό, κεφάτο και ευρηματικό. Με εντυπωσίασε η πληθώρα αναφορών. Η επινόηση για τη σύνδεση μαθηματικά-χιούμορ ομολογώ ότι είναι μοναδική!\".","image":"http://www.biblionet.gr/images/covers/b184724.jpg","isbn":"978-960-531-296-1","isbn13":"978-960-531-296-1","ismn":null,"issn":null,"series":null,"pages":79,"publication_year":2012,"publication_place":"Αθήνα","price":"8.0","price_updated_at":"2012-12-04","cover_type":"Μαλακό εξώφυλλο","availability":"Κυκλοφορεί","format":"Βιβλίο","original_language":null,"original_title":null,"publisher_id":367,"extra":null,"biblionet_id":184724,"url":"https://v2.bibliography.gr/books/xioumor-mathhmatika.json"}]