標(biāo)題: Titlebook: An Invitation to Abstract Mathematics; Béla Bajnok Textbook 20131st edition Béla Bajnok 2013 abstract mathematics.bridge course.cardinalit [打印本頁] 作者: 反抗日本 時間: 2025-3-21 18:13
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作者: 收集 時間: 2025-3-21 21:31
0172-6056 the first course has no prerequisites and the second is a more challenging course for math majors; yet, the flexible structure of the book allows it to be used in a variety of settings, including as a source of978-1-4614-6636-9Series ISSN 0172-6056 Series E-ISSN 2197-5604 作者: 故意釣到白楊 時間: 2025-3-22 00:43 作者: 率直 時間: 2025-3-22 08:30 作者: conformity 時間: 2025-3-22 08:43 作者: PTCA635 時間: 2025-3-22 14:29 作者: 欺騙世家 時間: 2025-3-22 19:45 作者: 積習(xí)已深 時間: 2025-3-22 23:12
0172-6056 hematics by including an unusually diverse array of topics.D.This undergraduate textbook is intended primarily for a transition course into higher mathematics, although it is written with a broader audience in mind.? The heart and soul of this book is problem solving, where each problem is carefully作者: 高原 時間: 2025-3-23 01:25
An Invitation to Abstract Mathematics978-1-4614-6636-9Series ISSN 0172-6056 Series E-ISSN 2197-5604 作者: 極大痛苦 時間: 2025-3-23 05:33
Der Reservefonds und die Steuerpflicht, have a precise and consistent meaning, and its results, once established, are not subject to opinions or experimental verification and remain valid independently of time, place, and culture—although their perceived importance might vary. In this chapter we discuss mathematical concepts; in Chap. 3 we study mathematical statements.作者: 繁榮地區(qū) 時間: 2025-3-23 11:17 作者: lymphedema 時間: 2025-3-23 17:50 作者: 寬度 時間: 2025-3-23 21:59 作者: faultfinder 時間: 2025-3-23 23:32
https://doi.org/10.1007/978-3-663-07010-8We start our friendship with abstract mathematics with an example that illuminates how concrete quantitative problems may turn into abstract mathematical situations and how mathematicians might be led from specific questions to the development of highly abstract concepts and discoveries.作者: 凝乳 時間: 2025-3-24 05:19
Die habituelle Schulterluxation,In the previous chapter we learned how to introduce mathematical concepts with definitions or as primitives. Once we introduce a new concept, we are interested in its properties, usually stated as mathematical statements. . are sentences that are either true or false—but not both.作者: 青石板 時間: 2025-3-24 06:35 作者: FAST 時間: 2025-3-24 14:11
https://doi.org/10.1007/978-3-663-09722-8In the last chapter we discussed seven of the most famous classical theorems of mathematics. We now turn to three more recent results to complete our top ten list. We will not provide any proofs—in fact, there are very (very!) few people who have seen complete proofs for these results.作者: BIDE 時間: 2025-3-24 16:30 作者: Anticoagulants 時間: 2025-3-24 22:52 作者: 山羊 時間: 2025-3-25 02:48
Die handelsrechtliche UmsatzrealisationIn Chap. 8 we made the somewhat heuristic claim that properties and identities about statements can easily be altered so that they also hold true for sets. As an example, we considered the claim that . holds for all statements ., ., and ..作者: sterilization 時間: 2025-3-25 03:53 作者: 名字的誤用 時間: 2025-3-25 10:44
https://doi.org/10.1007/978-3-663-04632-5In Chap. 12 we studied universal statements of the form . for given sets . and predicates .. Here we continue this discussion by examining the case when . is the set of natural numbers.作者: 不來 時間: 2025-3-25 12:38
Unsymmetrische Bewegungsgesetze,In this chapter we discuss three variations of induction: strong induction, split induction, and double induction. This arsenal of induction techniques will allow us to prove a variety of fundamental and powerful mathematical statements.作者: Omnipotent 時間: 2025-3-25 17:30 作者: 知道 時間: 2025-3-25 23:29
How to Make a Statement?In the previous chapter we learned how to introduce mathematical concepts with definitions or as primitives. Once we introduce a new concept, we are interested in its properties, usually stated as mathematical statements. . are sentences that are either true or false—but not both.作者: 充滿人 時間: 2025-3-26 03:17 作者: amyloid 時間: 2025-3-26 07:53
Recent Progress in MathematicsIn the last chapter we discussed seven of the most famous classical theorems of mathematics. We now turn to three more recent results to complete our top ten list. We will not provide any proofs—in fact, there are very (very!) few people who have seen complete proofs for these results.作者: 防御 時間: 2025-3-26 11:02 作者: reserve 時間: 2025-3-26 12:45
Quantifier MechanicsWe introduced abstract mathematics in Chap. 1 with . games; in particular, we analyzed one such game, the .. Here we review this rather simple game as it will enable us to discuss quantifiers in a simple and natural way. Consider the following figure:作者: hypotension 時間: 2025-3-26 19:34
Mathematical StructuresIn Chap. 8 we made the somewhat heuristic claim that properties and identities about statements can easily be altered so that they also hold true for sets. As an example, we considered the claim that . holds for all statements ., ., and ..作者: 懲罰 時間: 2025-3-26 21:28
Universal ProofsWe have already discussed the role of proofs in mathematics and have seen a variety of examples for proofs (e.g., in Chaps. 4, 5, and 11). Having learned about logic, sets, and quantifiers, we are now able to study proofs more formally and thus deepen our understanding of them.作者: Temporal-Lobe 時間: 2025-3-27 04:53
The Domino EffectIn Chap. 12 we studied universal statements of the form . for given sets . and predicates .. Here we continue this discussion by examining the case when . is the set of natural numbers.作者: strain 時間: 2025-3-27 07:57 作者: 昏睡中 時間: 2025-3-27 11:12
Der Reservefonds und die Steuerpflicht, have a precise and consistent meaning, and its results, once established, are not subject to opinions or experimental verification and remain valid independently of time, place, and culture—although their perceived importance might vary. In this chapter we discuss mathematical concepts; in Chap. 3 作者: CHOIR 時間: 2025-3-27 15:19 作者: Armada 時間: 2025-3-27 17:53
Die halboffenen Anstalten für Kleinkinderneralized arithmetic using variables instead of numbers. Similarly, we can build compounded statements from simple statements, and we can study their general structures. The branch of mathematics dealing with the structure of statements is called .. A study of the rules of logic is essential when on作者: white-matter 時間: 2025-3-28 00:34 作者: interlude 時間: 2025-3-28 04:04
Anthropologie der Integrativen Therapie, the form . For instance, we may claim that a certain equation has a real number solution (the existence of ., to be formally proven only in ., is a prime example), or we may claim that a certain set has a minimum element (by Theorem 13.6, every nonempty set of natural numbers does). Quite often, we作者: GOAD 時間: 2025-3-28 07:10
Béla BajnokGives a broad view of the field of mathematics without the artificial division of subjects???.Provides students with a broad exposure to mathematics by including an unusually diverse array of topics.D作者: Coterminous 時間: 2025-3-28 12:32 作者: 谷物 時間: 2025-3-28 16:31 作者: Bravura 時間: 2025-3-28 21:55
Let’s Be Logical!neralized arithmetic using variables instead of numbers. Similarly, we can build compounded statements from simple statements, and we can study their general structures. The branch of mathematics dealing with the structure of statements is called .. A study of the rules of logic is essential when one studies correct reasoning.作者: 玉米 時間: 2025-3-28 23:55
Working in the Fields (and Other Structures)the benefit of abstracting the common properties of various systems into a unifying structure is that, once we prove certain statements about a structure using only the properties that apply to all models of the structure, they will then be true for each system that models the structure. In this chapter we see examples for such ..作者: ANTI 時間: 2025-3-29 05:19
What’s the Name of the Game? have a precise and consistent meaning, and its results, once established, are not subject to opinions or experimental verification and remain valid independently of time, place, and culture—although their perceived importance might vary. In this chapter we discuss mathematical concepts; in Chap. 3 作者: 松果 時間: 2025-3-29 10:56 作者: diskitis 時間: 2025-3-29 14:56 作者: A精確的 時間: 2025-3-29 17:17
Working in the Fields (and Other Structures)the benefit of abstracting the common properties of various systems into a unifying structure is that, once we prove certain statements about a structure using only the properties that apply to all models of the structure, they will then be true for each system that models the structure. In this cha作者: 走路左晃右晃 時間: 2025-3-29 22:17
Existential Proofs the form . For instance, we may claim that a certain equation has a real number solution (the existence of ., to be formally proven only in ., is a prime example), or we may claim that a certain set has a minimum element (by Theorem 13.6, every nonempty set of natural numbers does). Quite often, we作者: Pulmonary-Veins 時間: 2025-3-30 02:51 作者: 艦旗 時間: 2025-3-30 05:28 作者: 熟練 時間: 2025-3-30 11:26 作者: 增減字母法 時間: 2025-3-30 14:01 作者: CROW 時間: 2025-3-30 19:24 作者: Grievance 時間: 2025-3-30 21:21 作者: Harrowing 時間: 2025-3-31 01:33
