Pure Math Discovering The Beauty Of Abstract Mathematics
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Pure Math Discovering The Beauty Of Abstract Mathematics
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Author : Lexa N. Palmer
language : en
Publisher: Book Lovers HQ
Release Date : 2024-09-30
Pure Math Discovering The Beauty Of Abstract Mathematics written by Lexa N. Palmer and has been published by Book Lovers HQ this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-09-30 with Mathematics categories.
Pure Math: Discovering the Beauty of Abstract Mathematics offers a unique approach to exploring the captivating world of pure mathematics. It's where logic meets imagination, and abstract thought gives rise to profound beauty. This book takes you beyond the formulas and calculations, uncovering the hidden elegance that lies at the heart of mathematical structures, patterns, and theories. From the concept of infinity to symmetry in group theory, this book delves into the core ideas of pure math that have fascinated thinkers for centuries. You’ll discover the aesthetic appeal of mathematical proofs, each one a treasure waiting to be unearthed, explore the intricate relationships in number theory, and journey through the strange worlds of non-Euclidean geometry and topology. Whether you're intrigued by the mysteries of prime numbers or the paradoxes that challenge conventional logic, Pure Math illuminates these abstract concepts in a way that is both engaging and intellectually stimulating. Written for those who appreciate the beauty of ideas, this book is a celebration of the intellectual creativity that drives pure mathematics. It's perfect for mathematicians, students, and curious readers who want to see math as more than a tool for problem-solving. It’s a testament to the wonder that can be found in abstract reasoning. What you will find in this book: The concept of infinity and its role in set theory and calculus The elegance of mathematical proofs and the joy of discovering them Patterns and symmetry in number theory, geometry, and algebra Paradoxes that challenge the boundaries of logic and intuition The philosophical implications of pure mathematics as a universal language Exploration of the beauty and complexity found in abstract mathematical structures Embark on a fascinating journey into the depths of pure mathematics and discover a new way of thinking about the world around you!
A Mathematical Mystery Tour
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Author : A. K. Dewdney
language : en
Publisher: New York ; Toronto : Wiley
Release Date : 1999-03-12
A Mathematical Mystery Tour written by A. K. Dewdney and has been published by New York ; Toronto : Wiley this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-03-12 with Mathematics categories.
A.K. Dewdney takes readers on a theoretical world tour to answer the question: Did humans make up mathematics, or did mathematics make up everything, including humans? After all, mathematical formulas seem to perfectly govern the cosmos, and the ur-mathematician Pythagoras himself believed that mathematics makes up reality. Dewdney has taken it upon himself to examine this fundamental question, beginning his journey in Miletus, the ancient home of Pythagoras and other deep thinkers. There, he meets the fictional Dr. Petros Pygonopolis, the first of his guides through space and time in search of mathematical meaning in history. His journey continues with stops in the Arabian desert (for insight into ancient Islamic astronomy with Professor al-Flayli), Venice (where Maria Canzoni reveals the mysteries of atomic theory), and England (home of the "engines of thought" in the form of Alan Turing's mind machines, as explained by Sir John Brainard). Dewdney's style is accessible, his knowledge is thorough, and his sense of humor is refreshing, if a bit geeky. A Mathematical Mystery Tour is not a difficult read, although the ideas it attempts to clarify are quite abstract. The fictional tour guides at each port of call are helpful in humanizing the intimidating subject matter.
Pure Mathematics For Beginners
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Author : Steve Warner
language : en
Publisher:
Release Date : 2018-09-25
Pure Mathematics For Beginners written by Steve Warner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-25 with categories.
Pure Mathematics for Beginners Pure Mathematics for Beginners consists of a series of lessons in Logic, Set Theory, Abstract Algebra, Number Theory, Real Analysis, Topology, Complex Analysis, and Linear Algebra. The 16 lessons in this book cover basic through intermediate material from each of these 8 topics. In addition, all the proofwriting skills that are essential for advanced study in mathematics are covered and reviewed extensively. Pure Mathematics for Beginners is perfect for professors teaching an introductory college course in higher mathematics 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 in 8 subject areas. A problem set after each lesson arranged by difficulty level. A complete solution guide is included as a downloadable PDF file. Pure Math Book Table Of Contents (Selected) Here's a selection from the table of contents: Introduction Lesson 1 - Logic: Statements and Truth Lesson 2 - Set Theory: Sets and Subsets Lesson 3 - Abstract Algebra: Semigroups, Monoids, and Groups Lesson 4 - Number Theory: Ring of Integers Lesson 5 - Real Analysis: The Complete Ordered Field of Reals Lesson 6 - Topology: The Topology of R Lesson 7 - Complex Analysis: The field of Complex Numbers Lesson 8 - Linear Algebra: Vector Spaces Lesson 9 - Logic: Logical Arguments Lesson 10 - Set Theory: Relations and Functions Lesson 11 - Abstract Algebra: Structures and Homomorphisms Lesson 12 - Number Theory: Primes, GCD, and LCM Lesson 13 - Real Analysis: Limits and Continuity Lesson 14 - Topology: Spaces and Homeomorphisms Lesson 15 - Complex Analysis: Complex Valued Functions Lesson 16 - Linear Algebra: Linear Transformations
Algebraic Geometry And Commutative Algebra
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Author : Siegfried Bosch
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-11-15
Algebraic Geometry And Commutative Algebra written by Siegfried Bosch and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-15 with Mathematics categories.
Algebraic geometry is a fascinating branch of mathematics that combines methods from both, algebra and geometry. It transcends the limited scope of pure algebra by means of geometric construction principles. Moreover, Grothendieck’s schemes invented in the late 1950s allowed the application of algebraic-geometric methods in fields that formerly seemed to be far away from geometry, like algebraic number theory. The new techniques paved the way to spectacular progress such as the proof of Fermat’s Last Theorem by Wiles and Taylor. The scheme-theoretic approach to algebraic geometry is explained for non-experts. More advanced readers can use the book to broaden their view on the subject. A separate part deals with the necessary prerequisites from commutative algebra. On a whole, the book provides a very accessible and self-contained introduction to algebraic geometry, up to a quite advanced level. Every chapter of the book is preceded by a motivating introduction with an informal discussion of the contents. Typical examples and an abundance of exercises illustrate each section. This way the book is an excellent solution for learning by yourself or for complementing knowledge that is already present. It can equally be used as a convenient source for courses and seminars or as supplemental literature.
Multidisciplinary Research In Arts Science Commerce Volume 22
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Author : Chief Editor- Biplab Auddya, Editor- Dr. K. Kavitha, Dr. N. Siddharthan, Dr. Neha Nain, Dr. Babu Lal Choudhary, Sushmita Pandey, Manasvi Shukla
language : en
Publisher: The Hill Publication
Release Date : 2025-03-18
Multidisciplinary Research In Arts Science Commerce Volume 22 written by Chief Editor- Biplab Auddya, Editor- Dr. K. Kavitha, Dr. N. Siddharthan, Dr. Neha Nain, Dr. Babu Lal Choudhary, Sushmita Pandey, Manasvi Shukla and has been published by The Hill Publication this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-18 with Antiques & Collectibles categories.
Bridge To Abstract Mathematics
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Author : Ralph W. Oberste-Vorth
language : en
Publisher: American Mathematical Soc.
Release Date : 2012
Bridge To Abstract Mathematics written by Ralph W. Oberste-Vorth and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Education categories.
A Bridge to Abstract Mathematics will prepare the mathematical novice to explore the universe of abstract mathematics. Mathematics is a science that concerns theorems that must be proved within the constraints of a logical system of axioms and definitions rather than theories that must be tested, revised, and retested. Readers will learn how to read mathematics beyond popular computational calculus courses. Moreover, readers will learn how to construct their own proofs. The book is intended as the primary text for an introductory course in proving theorems, as well as for self-study or as a reference. Throughout the text, some pieces (usually proofs) are left as exercises. Part V gives hints to help students find good approaches to the exercises. Part I introduces the language of mathematics and the methods of proof. The mathematical content of Parts II through IV were chosen so as not to seriously overlap the standard mathematics major. In Part II, students study sets, functions, equivalence and order relations, and cardinality. Part III concerns algebra. The goal is to prove that the real numbers form the unique, up to isomorphism, ordered field with the least upper bound. In the process, we construct the real numbers starting with the natural numbers. Students will be prepared for an abstract linear algebra or modern algebra course. Part IV studies analysis. Continuity and differentiation are considered in the context of time scales (nonempty, closed subsets of the real numbers). Students will be prepared for advanced calculus and general topology courses. There is a lot of room for instructors to skip and choose topics from among those that are presented.
Abstract Algebra
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Author : Claudia Menini
language : en
Publisher: CRC Press
Release Date : 2004-04-20
Abstract Algebra written by Claudia Menini and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-04-20 with Mathematics categories.
In one exceptional volume, Abstract Algebra covers subject matter typically taught over the course of two or three years and offers a self-contained presentation, detailed definitions, and excellent chapter-matched exercises to smooth the trajectory of learning algebra from zero to one. Field-tested through advance use in the ERASMUS educational project in Europe, this ambitious, comprehensive book includes an original treatment of representation of finite groups that avoids the use of semisimple ring theory and explains sets, maps, posets, lattices, and other essentials of the algebraic language; Peano's axioms and cardinality; groupoids, semigroups, monoids, groups; and normal subgroups.
Navigating The Math Major
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Author : Carrie Diaz Eaton
language : en
Publisher: American Mathematical Society
Release Date : 2024-06-14
Navigating The Math Major written by Carrie Diaz Eaton and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-14 with Mathematics categories.
Are you a mathematics major or thinking about becoming one? This friendly guidebook is for you, no matter where you are in your studies. For those just starting out, there are: interactive exercises to help you chart your personalized course, brief overviews of the typical courses you will encounter during your studies, recommended extracurricular activities that can enrich your mathematical journey. Mathematics majors looking for effective ways to support their success will discover: practical examples of dealing with setbacks and challenges in mathematics, a primer on study skills, including particular advice like how to effectively read mathematical literature and learn mathematically focused programming. Students thinking about life after graduation will find: advice for seeking jobs outside academia, guidance for applying to graduate programs, a collection of interviews with former mathematics majors now working in a wide variety of careers—they share their experience and practical advice for breaking into their field. Packed with a wealth of information, Navigating the Math Major is your comprehensive resource to the undergraduate mathematics degree program.
Set Theory And Logic
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Author : Robert R. Stoll
language : en
Publisher: Courier Corporation
Release Date : 2012-05-23
Set Theory And Logic written by Robert R. Stoll and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-23 with Mathematics categories.
Explores sets and relations, the natural number sequence and its generalization, extension of natural numbers to real numbers, logic, informal axiomatic mathematics, Boolean algebras, informal axiomatic set theory, several algebraic theories, and 1st-order theories.
A Journey Through Math Land
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Author : Reza Noubary
language : en
Publisher: Xlibris Corporation
Release Date : 2021-11-02
A Journey Through Math Land written by Reza Noubary and has been published by Xlibris Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-02 with Mathematics categories.
If you look at math by eyes you see symbols, by brain knowledge, by heart truth, and by soul God. This book is about flying over math-land, enjoying the view, and landing safely. It seems inconceivable how much we rely on mathematics/numbers in our daily lives and how natural it feels. Our birth is announced by a set of numbers representing the time, date, and our height and weight. We become a functioning member of society only after a Social Security number is assigned to us. Our health and fitness are evaluated using numbers representing our blood pressure, heart rate, body temperature, and so on. From that point onward, every action performed and every life encountered becomes part of our ongoing use of mathematics/numbers. This book traces applications of mathematics. The goal is to find a way to delight readers about the discipline and open the door for them to see its beauty by presenting a variety of applications. It is particularly useful for the individuals with some mathematics background or interests.