Introduction to Mathematical Structures and Proofs

Introduction to Mathematical Structures and Proofs PDF Author: Larry J. Gerstein
Publisher: Springer
ISBN: 3642592791
Category : Medical
Languages : en
Pages : 356

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Book Description
This is a textbook for a one-term course whose goal is to ease the transition from lower-division calculus courses to upper-division courses in linear and abstract algebra, real and complex analysis, number theory, topology, combinatorics, and so on. Without such a "bridge" course, most upper division instructors feel the need to start their courses with the . rudiments of logic, set theory, equivalence relations, and other basic mathematiCal raw materials before getting on with the subject at hand. Students who are new to higher mathematics are often startled to discover that mathematics is a subject of ideas, and not just formulaic rituals, and that they are now expected to understand and create mathematical proofs. Mastery of an assortment of technical tricks may have carried tHe students through calculus, but it is no longer a guarantee of academic success. Students need experience in working with abstract ideas at a n

Introduction to Mathematical Structures and Proofs

Introduction to Mathematical Structures and Proofs PDF Author: Larry J. Gerstein
Publisher: Springer
ISBN: 3642592791
Category : Medical
Languages : en
Pages : 356

Get Book Here

Book Description
This is a textbook for a one-term course whose goal is to ease the transition from lower-division calculus courses to upper-division courses in linear and abstract algebra, real and complex analysis, number theory, topology, combinatorics, and so on. Without such a "bridge" course, most upper division instructors feel the need to start their courses with the . rudiments of logic, set theory, equivalence relations, and other basic mathematiCal raw materials before getting on with the subject at hand. Students who are new to higher mathematics are often startled to discover that mathematics is a subject of ideas, and not just formulaic rituals, and that they are now expected to understand and create mathematical proofs. Mastery of an assortment of technical tricks may have carried tHe students through calculus, but it is no longer a guarantee of academic success. Students need experience in working with abstract ideas at a n

Braman's Information about Texas

Braman's Information about Texas PDF Author: D. E. E. Braman
Publisher: Philadelphia, J. B. Lippincott & Company
ISBN:
Category : Land grants
Languages : en
Pages : 204

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Bulletin

Bulletin PDF Author: Östasiatiska samlingarna (Stockholm, Sweden)
Publisher:
ISBN:
Category : China
Languages : en
Pages : 410

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Ottoman History - Misperceptions and Truths

Ottoman History - Misperceptions and Truths PDF Author: Ahmed Akgunduz
Publisher: IUR Press
ISBN: 9090261087
Category : Religion
Languages : en
Pages : 694

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Book Description
This book was first published in Turkish under the title Bilinmeyen Osmanlı, co-authored by Prof. Dr. Said Öztürk, and 250,000 copies were printed. I answered 290 questions whereas Öztürk answered 13 in total. He collaborated regarding source details and references as well as tirelessly proofreading and editing the book. In addition, this book was later translated into Arabic; the first edition was published by Osmanlı Araştirmalari Vakfi (OSAV), Istanbul, and the second will be published by Dār al-Shouroq in Cairo. The English version of this book has almost become a separate work from the aforementioned versions. Although the main part was translated into English by Ismail Ercan, the book needed a number of improvements and rewriting of some articles after referring to Western sources on the various subjects. Hence, I changed the title as well as the format of the book mainly for this reason. But I have indicated which articles were written by Prof. Öztürk. As preparation for this book, the questions it deals with have been discussed in academic research ever since 1983, and, in addition, hundreds of conferences have been held throughout Anatolia. As a result, over 5000 questions have accumulated in our “question desk,” submitted in written form by both readers and listeners. For example, the issue of ḥarem comes first, with 503 questions. The issue of whether the Ottoman Sulṭāns, particularly Bayezid the Thunderbolt, drank alcohol ranked second, with 276 questions. These were followed by such questions as fratricide rights and freedoms in the Ottoman state, the issue of the Sulṭāns going on pilgrimage, if Sulṭān Waḥīduddin was a traitor, etc. Needless to say, we have been inspired by similar research done in this field. This book will consist of four parts. In Part One we will deal with weighty questions on the political history of the Ottoman state and the replies to them. However, such questions are most frequently asked about each Sulṭān – even if they are related to law or economics. For instance, we will not ignore the issue of fratricide in his law when discussing Meḥmed the Conqueror and the charges of the genocide of the Kurds when it comes to Selim the Excellent. In Part Two we will deal with the questions on social life in the Ottoman state and the ḥarem. In Part Three we will look at those issues regarding the Ottoman legislative system and the organization of the state. In Part Four we will answer some questions about the economy and financial law of the Ottoman state. Unfortunately, we will not deal with all the questions we have received in all the aforesaid fields owing to insufficient space. Yet it is our view that if something cannot be achieved completely, we should not give up entirely and resign ourselves to what has been done. There are 307 differents subjects in this book; some of them as below: - War (jihād) in the Ottoman state and the legal principles of the policy of conquest in the Ottoman state - The Devşirme (Conscription) System - The allegations that the Ottoman state adhered to the Bektaşi and Aleviyye traditions during the years of its foundation until Sulṭān Selim the Excellent and that the Abdalan-ı Rum consisted of Bektaşi Babas and Alevi Dedes. - On rumors that some Ottoman Sulṭāns were addicted to alcohol and even held illegitimate carousals at the Palace. - The legality of fratricide in the Ottoman state and some claims by some historians regarding savagery and massacre for the sake of claiming the Sultanat. - There are claims that Sulṭān Meḥmed the Conqueror was sympathetic toward Christianity and corresponded with the Pope. - On the Ottoman State offering assistance to the Andalusian state that was destroyed in 1492. - Ottoman Harem. - Ottoman legal codes. - Ottoman legal system and Islamic law. - Which events sowed the seeds of hatred between Arabs and Turks, both of whom are Muslims? - The reasons for the decline and fall of the Ottoman State. - The capitulations as one reason for terminating the Ottoman State.

The Legal News

The Legal News PDF Author: James Kirby
Publisher:
ISBN:
Category : Law
Languages : en
Pages : 456

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New Catholic World

New Catholic World PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 878

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The Poetic Works of Maurice de Guérin

The Poetic Works of Maurice de Guérin PDF Author: Maurice de Guérin
Publisher: Summa Publications, Inc.
ISBN: 9780917786877
Category : Poetry
Languages : en
Pages : 384

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The Accountant

The Accountant PDF Author:
Publisher:
ISBN:
Category : Accounting
Languages : en
Pages : 1086

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Recollections of Youth, and Other Poems. By a Young Lady of Manchester

Recollections of Youth, and Other Poems. By a Young Lady of Manchester PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 102

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Principles and Proofs

Principles and Proofs PDF Author: Richard D. McKirahan Jr.
Publisher: Princeton University Press
ISBN: 140088716X
Category : Philosophy
Languages : en
Pages : 355

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Book Description
By a thorough study of the Posterior Analytics and related Aristotelian texts, Richard McKirahan reconstructs Aristotle's theory of episteme--science. The Posterior Analytics contains the first extensive treatment of the nature and structure of science in the history of philosophy, and McKirahan's aim is to interpret it sympathetically, following the lead of the text, rather than imposing contemporary frameworks on it. In addition to treating the theory as a whole, the author uses textual and philological as well as philosophical material to interpret many important but difficult individual passages. A number of issues left obscure by the Aristotelian material are settled by reference to Euclid's geometrical practice in the Elements. To justify this use of Euclid, McKirahan makes a comparative analysis of fundamental features of Euclidian geometry with the corresponding elements of Aristotle's theory. Emerging from that discussion is a more precise and more complex picture of the relation between Aristotle's theory and Greek mathematics--a picture of mutual, rather than one-way, dependence. Originally published in 1992. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.