oaxino Posted December 20, 2022 Report Share Posted December 20, 2022 Last updated 1/2021MP4 | Video: h264, 1280x720 | Audio: AAC, 44.1 KHzLanguage: English | Size: 2.07 GB | Duration: 7h 56mLogic, Set Theory, Abstract Algebra, Number Theory, Real Analysis, Topology, Complex Analysis, Linear AlgebraWhat you'll learnLogicSet TheoryAbstract AlgebraNumber TheoryReal AnalysisTopologyComplex AnalysisLinear AlgebraRequirementsNo prerequisitesDescriptionPure Mathematics for Pre-Beginners consists of a series of lessons in Logic, Set Theory, Abstract Algebra, Number Theory, Real Analysis, Topology, Complex Analysis, and Linear Algebra. The 8 lessons in this course cover elementary material from each of these 8 topics. A "pre-beginner" is a math student that is ready to start learning some more advanced mathematics, but is not quite ready to dive into proofwriting. Pure Mathematics for Pre-Beginners is perfect forstudents wishing to begin learning advanced mathematics, but that are not quite ready to start writing proofs.high school teachers that want to expose their students to the ideas of advanced mathematics without getting into mathematical rigor.professors that wish to introduce higher mathematics to non-stem majors.The material in this math course includes:8 lessons in 8 subject areas.Examples and exercises throughout each lesson.A problem set after each lesson arranged by difficulty level.There are no prerequisites for this course. The content is completely self-contained. Furthermore, this course will naturally increase a student's level of "mathematical maturity." Although there is no single agreed upon definition of mathematical maturity, one reasonable way to define it is as "one's ability to analyze, understand, and communicate mathematics." A student with a very high level of mathematical maturity may find this course very easy-this student may want to go through the course quickly and then move on to Pure Mathematics for Beginners. A student with a lower level of mathematical maturity will probably find this book more challenging. However, the reward will certainly be more than worth the effort.Pure Math Pre-Beginner Book Table Of Contents (Selected) Here's a selection from the table of contents:Lesson 1 - LogicLesson 2 - Set TheoryLesson 3 - Abstract AlgebraLesson 4 - Number TheoryLesson 5 - Real AnalysisLesson 6 - TopologyLesson 7 - Complex AnalysisLesson 8 - Linear AlgebraOverviewSection 1: Lesson 1 - LogicLecture 1 StatementsLecture 2 Truth AssignmentsLecture 3 Logical ConnectivesLecture 4 Evaluating TruthLecture 5 Logical EquivalenceLecture 6 Tautologies and ContradictionsSection 2: Lesson 2 - Set TheoryLecture 7 Describing Sets ExplicitlyLecture 8 Describing Sets with EllipsesLecture 9 Describing Sets with PropertiesLecture 10 Cardinality of a Finite SetLecture 11 Subsets and Proper SubsetsLecture 12 Power SetsLecture 13 Basic Set OperationsSection 3: Lesson 3 - Abstract AlgebraLecture 14 Binary Operations and ClosureLecture 15 Associativity, Commutativity, and SemigroupsLecture 16 Identity and MonoidsLecture 17 Inverses and GroupsLecture 18 Distributivity and RingsLecture 19 FieldsSection 4: Lesson 4 - Number TheoryLecture 20 DivisibilityLecture 21 Prime NumbersLecture 22 The Division AlgorithmLecture 23 GCD and LCMLecture 24 GCD and LCM ContinuedLecture 25 The Euclidean AlgorithmSection 5: Lesson 5 - Real AnalysisLecture 26 Ordered SetsLecture 27 Ordered Rings and FieldsLecture 28 Why Isn't Q Enough?Lecture 29 CompletenessSection 6: Lesson 6 - TopologyLecture 30 Intervals of Real NumbersLecture 31 More Set OperationsLecture 32 Open Sets in RLecture 33 Closed Sets in RSection 7: Lesson 7 - Complex AnalysisLecture 34 The Complex FieldLecture 35 Absolute Value and DistanceLecture 36 Basic Topology of CSection 8: Lesson 8 - Linear AlgebraLecture 37 MatricesLecture 38 Vector Spaces Over FieldsStudents wishing to begin learning advanced mathematics, but that are not quite ready to start writing proofs,Students who want to increase their level of mathematical maturityDownload linkrapidgator.net:https://rapidgator.net/file/4a905ea70c9f9e124c1b5c1fa685619f/qercm.Pure.Mathematics.For.PreBeginners.part1.rar.htmlhttps://rapidgator.net/file/6d4a522396a2c011bebb0b0368d024f5/qercm.Pure.Mathematics.For.PreBeginners.part2.rar.htmlhttps://rapidgator.net/file/cbc71adc1a43a5d1065624acd8b24998/qercm.Pure.Mathematics.For.PreBeginners.part3.rar.htmluploadgig.com:https://uploadgig.com/file/download/cf65011069f83a82/qercm.Pure.Mathematics.For.PreBeginners.part1.rarhttps://uploadgig.com/file/download/2b7E0f2B385901ab/qercm.Pure.Mathematics.For.PreBeginners.part2.rarhttps://uploadgig.com/file/download/aA1b8bC45326a964/qercm.Pure.Mathematics.For.PreBeginners.part3.rarnitroflare.com:https://nitroflare.com/view/1E55730F33FB63A/qercm.Pure.Mathematics.For.PreBeginners.part1.rarhttps://nitroflare.com/view/138282BEC0CF717/qercm.Pure.Mathematics.For.PreBeginners.part2.rarhttps://nitroflare.com/view/CF4622D9244EEB6/qercm.Pure.Mathematics.For.PreBeginners.part3.rar1dl.net:https://1dl.net/zhdbrrh0fsif/qercm.Pure.Mathematics.For.PreBeginners.part1.rarhttps://1dl.net/jjsdjpuxlf8q/qercm.Pure.Mathematics.For.PreBeginners.part2.rarhttps://1dl.net/ll5frgb551bg/qercm.Pure.Mathematics.For.PreBeginners.part3.rar Link to comment Share on other sites More sharing options...
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