Pure Mathematics for Beginners - Accelerated and Expanded Edition
Author : Steve Warner
Publisher :
Page : pages
File Size : 15,18 MB
Release : 2022-01-03
Category :
ISBN : 9781951619121
Foundations of Discrete Mathematics
Author : K. D. Joshi
Publisher : New Age International
Page : 768 pages
File Size : 26,91 MB
Release : 1989
Category : Mathematics
ISBN : 9788122401202
Book Description
This Book Is Meant To Be More Than Just A Text In Discrete Mathematics. It Is A Forerunner Of Another Book Applied Discrete Structures By The Same Author. The Ultimate Goal Of The Two Books Are To Make A Strong Case For The Inclusion Of Discrete Mathematics In The Undergraduate Curricula Of Mathematics By Creating A Sequence Of Courses In Discrete Mathematics Parallel To The Traditional Sequence Of Calculus-Based Courses.The Present Book Covers The Foundations Of Discrete Mathematics In Seven Chapters. It Lays A Heavy Emphasis On Motivation And Attempts Clarity Without Sacrificing Rigour. A List Of Typical Problems Is Given In The First Chapter. These Problems Are Used Throughout The Book To Motivate Various Concepts. A Review Of Logic Is Included To Gear The Reader Into A Proper Frame Of Mind. The Basic Counting Techniques Are Covered In Chapters 2 And 7. Those In Chapter 2 Are Elementary. But They Are Intentionally Covered In A Formal Manner So As To Acquaint The Reader With The Traditional Definition-Theorem-Proof Pattern Of Mathematics. Chapters 3 Introduces Abstraction And Shows How The Focal Point Of Todays Mathematics Is Not Numbers But Sets Carrying Suitable Structures. Chapter 4 Deals With Boolean Algebras And Their Applications. Chapters 5 And 6 Deal With More Traditional Topics In Algebra, Viz., Groups, Rings, Fields, Vector Spaces And Matrices.The Presentation Is Elementary And Presupposes No Mathematical Maturity On The Part Of The Reader. Instead, Comments Are Inserted Liberally To Increase His Maturity. Each Chapter Has Four Sections. Each Section Is Followed By Exercises (Of Various Degrees Of Difficulty) And By Notes And Guide To Literature. Answers To The Exercises Are Provided At The End Of The Book.
Conjugation Reactions In Drug Metabolism
Author : Gerard J. Mulder
Publisher : CRC Press
Page : 423 pages
File Size : 37,91 MB
Release : 1990-02-21
Category : Medical
ISBN : 0203489993
Book Description
This text investigates the molecular biology of conjugation, and the subsequent activity of the transfered genes "in vivo". Conjugation may be very important when considering biotransformations, as expression of transfered genes may allow organisms to metabolize certain substrates.
Pure Mathematics for Pre-Beginners
Author : Steve Warner
Publisher :
Page : 188 pages
File Size : 10,43 MB
Release : 2019-09-29
Category : Mathematics
ISBN : 9781951619091
Book Description
Pure Mathematics for Pre-BeginnersPure 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 book 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 for students 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 pure math book includes: 8 lessons in 8 subject areas. Examples and exercises throughout each lesson. A problem set after each lesson arranged by difficulty level. A complete solution guide is included as a downloadable PDF file. Pure Math Pre-Beginner Book Table Of Contents (Selected) Here's a selection from the table of contents: Introduction Lesson 1 - Logic Lesson 2 - Set Theory Lesson 3 - Abstract Algebra Lesson 4 - Number Theory Lesson 5 - Real Analysis Lesson 6 - Topology Lesson 7 - Complex Analysis Lesson 8 - Linear Algebra
Basic Concepts of Algebra
Author : Claude Simpson
Publisher :
Page : 187 pages
File Size : 49,67 MB
Release : 2019-11-05
Category :
ISBN : 9781705347959
Book Description
Book DescriptionBasic Concepts of Algebra is an excellent refresher for algebra. It is also an indispensable reference book re-definitions, theory and steps in solving algebraic problems. It covers a wide range of the necessary concepts and content that will help the learner to develop a good background so as to waltz through algebra. The book has twelve chapters: Numbers; Algebraic Expressions; Indices 1, Roots and Radicals; Indices 2; Equations 1; Equations 2; Inequalities; Factorization; Quadratic Equations; Graphing; Solving Systems of Linear Equations and Logarithms. The goal of this book is to give the learner the necessary and required concepts, skills and knowledge so as to be successful in algebra. It is the author's view that a good grasp of the basic concepts of algebra will enable and encourage competence in statistics, geometry, trigonometry and calculus. The learner is therefore encouraged to go through each topic in this book meticulously and remember to practice questions from the exercises. The concepts are set out in a clear format with definitions, examples and exercises. To make sure that you understand the material, each chapter ends with a summary exercise. You should get the most from this book if you work steadily from the beginning to the end in each chapter. Each chapter has the relevant topics and sub-topics with definitions and examples that will allow the learner to easily workout the problems in the exercises.This book is suitable for high school and first year college students. It may be introduced at the upper elementary level and be used right up to adult education. The book is good for those persons who are a bit rusty in algebra or have forgotten content materials because it has been awhile since they have taken an algebra course. If such is the case then this is the perfect book for you to refresh your skills and sharpen your proficiency in core concepts of algebra.Finally I would like to reiterate that algebra can be fun but the learner has to first get a good grasp of the basic concepts so as to have a rewarding experience which will not only advance competency level in algebra but will be favorable for further studies in mathematics. Remember to make a firm commitment to spend the time to study and practice your algebra.
Set Theory for Beginners
Author : Steve Warner
Publisher :
Page : pages
File Size : 32,23 MB
Release : 2019-02-18
Category :
ISBN : 9780999811764
Book Description
Set Theory for BeginnersSet Theory for Beginners consists of a series of basic to intermediate lessons in set theory. In addition, all the proofwriting skills that are essential for advanced study in mathematics are covered and reviewed extensively. Set Theory for Beginners is perfect for professors teaching an undergraduate course or basic graduate course in set theory high school teachers working with advanced math students students wishing to see the type of mathematics they would be exposed to as a math major. The material in this pure math book includes: 16 lessons consisting of basic to intermediate topics in set theory and mathematical logic. A problem set after each lesson arranged by difficulty level. A complete solution guide is included as a downloadable PDF file. Set Theory Book Table Of Contents (Selected) Here's a selection from the table of contents: Introduction Lesson 1 - Sets Lesson 2 - Subsets Lesson 3 - Operations on Sets Lesson 4 - Relations Lesson 5 - Equivalence Relations and Partitions Lesson 6 - Functions Lesson 7 - Equinumerosity Lesson 8 - Induction and Recursion on N Lesson 9 - Propositional Logic Lesson 10 - First-order Logic Lesson 11 - Axiomatic Set Theory Lesson 12 - Ordinals Lesson 13 - Cardinals Lesson 14 - Martin's Axiom Lesson 15 - The Field of Real Numbers Lesson 16 - Clubs and Stationary Sets
Calculus Practice Workbook
Author : Calculus World
Publisher : Independently Published
Page : 118 pages
File Size : 17,87 MB
Release : 2019-01-16
Category : Mathematics
ISBN : 9781794206700
Book Description
What you will love is this book features a ton of different TYPES of calcalus math problems from easy to more advanced for your child to practice. This book features problems like: Limits and Continuity Essential discontinuities Polynomials Derivatives Differentiation Newton's Method L'Hopital Quadratic Logarithmic Functions Inverse functions Instantaneous Rate Trigonometric Tangents Graphs Implicit Infinity And more, with answer keys in the back of the book.
Teaching Mathematics at Secondary Level
Author : Tony Gardiner
Publisher : Open Book Publishers
Page : 248 pages
File Size : 12,96 MB
Release : 2016-02-08
Category : Mathematics
ISBN : 1783741406
Book Description
Teaching Mathematics is nothing less than a mathematical manifesto. Arising in response to a limited National Curriculum, and engaged with secondary schooling for those aged 11 ̶ 14 (Key Stage 3) in particular, this handbook for teachers will help them broaden and enrich their students’ mathematical education. It avoids specifying how to teach, and focuses instead on the central principles and concepts that need to be borne in mind by all teachers and textbook authors—but which are little appreciated in the UK at present.This study is aimed at anyone who would like to think more deeply about the discipline of ‘elementary mathematics’, in England and Wales and anywhere else. By analysing and supplementing the current curriculum, Teaching Mathematics provides food for thought for all those involved in school mathematics, whether as aspiring teachers or as experienced professionals. It challenges us all to reflect upon what it is that makes secondary school mathematics educationally, culturally, and socially important.
Optimal Transport for Applied Mathematicians
Author : Filippo Santambrogio
Publisher : Birkhäuser
Page : 376 pages
File Size : 47,14 MB
Release : 2015-10-17
Category : Mathematics
ISBN : 3319208284
Book Description
This monograph presents a rigorous mathematical introduction to optimal transport as a variational problem, its use in modeling various phenomena, and its connections with partial differential equations. Its main goal is to provide the reader with the techniques necessary to understand the current research in optimal transport and the tools which are most useful for its applications. Full proofs are used to illustrate mathematical concepts and each chapter includes a section that discusses applications of optimal transport to various areas, such as economics, finance, potential games, image processing and fluid dynamics. Several topics are covered that have never been previously in books on this subject, such as the Knothe transport, the properties of functionals on measures, the Dacorogna-Moser flow, the formulation through minimal flows with prescribed divergence formulation, the case of the supremal cost, and the most classical numerical methods. Graduate students and researchers in both pure and applied mathematics interested in the problems and applications of optimal transport will find this to be an invaluable resource.
Explorations in Mathematical Physics
Author : Don Koks
Publisher : Springer Science & Business Media
Page : 549 pages
File Size : 23,7 MB
Release : 2006-09-15
Category : Science
ISBN : 0387309438
Book Description
Have you ever wondered why the language of modern physics centres on geometry? Or how quantum operators and Dirac brackets work? What a convolution really is? What tensors are all about? Or what field theory and lagrangians are, and why gravity is described as curvature? This book takes you on a tour of the main ideas forming the language of modern mathematical physics. Here you will meet novel approaches to concepts such as determinants and geometry, wave function evolution, statistics, signal processing, and three-dimensional rotations. You will see how the accelerated frames of special relativity tell us about gravity. On the journey, you will discover how tensor notation relates to vector calculus, how differential geometry is built on intuitive concepts, and how variational calculus leads to field theory. You will meet quantum measurement theory, along with Green functions and the art of complex integration, and finally general relativity and cosmology. The book takes a fresh approach to tensor analysis built solely on the metric and vectors, with no need for one-forms. This gives a much more geometrical and intuitive insight into vector and tensor calculus, together with general relativity, than do traditional, more abstract methods. Don Koks is a physicist at the Defence Science and Technology Organisation in Adelaide, Australia. His doctorate in quantum cosmology was obtained from the Department of Physics and Mathematical Physics at Adelaide University. Prior work at the University of Auckland specialised in applied accelerator physics, along with pure and applied mathematics.
