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Introduction To General Topology


Author : K. D. Joshi
language : en
Publisher: New Age International
Release Date : 1983



Download Introduction To General Topology written by K. D. Joshi and has been published by New Age International this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Topology categories.




Educative Jee Mathematics


Author : K.D. Joshi
language : en
Publisher: Universities Press
Release Date : 2004-03-01



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Foundations Of Discrete Mathematics


Author : K. D. Joshi
language : en
Publisher: New Age International
Release Date : 1989



Download Foundations Of Discrete Mathematics written by K. D. Joshi and has been published by New Age International this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Combinatorial analysis categories.


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.

An Illustrated Introduction To Topology And Homotopy


Author : Sasho Kalajdzievski
language : en
Publisher: CRC Press
Release Date : 2015-03-24



Download An Illustrated Introduction To Topology And Homotopy written by Sasho Kalajdzievski and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-24 with Mathematics categories.


An Illustrated Introduction to Topology and Homotopy explores the beauty of topology and homotopy theory in a direct and engaging manner while illustrating the power of the theory through many, often surprising, applications. This self-contained book takes a visual and rigorous approach that incorporates both extensive illustrations and full proofs. The first part of the text covers basic topology, ranging from metric spaces and the axioms of topology through subspaces, product spaces, connectedness, compactness, and separation axioms to Urysohn’s lemma, Tietze’s theorems, and Stone-Čech compactification. Focusing on homotopy, the second part starts with the notions of ambient isotopy, homotopy, and the fundamental group. The book then covers basic combinatorial group theory, the Seifert-van Kampen theorem, knots, and low-dimensional manifolds. The last three chapters discuss the theory of covering spaces, the Borsuk-Ulam theorem, and applications in group theory, including various subgroup theorems. Requiring only some familiarity with group theory, the text includes a large number of figures as well as various examples that show how the theory can be applied. Each section starts with brief historical notes that trace the growth of the subject and ends with a set of exercises.

Calculus For Scientists And Engineers


Author : K. D. Joshi
language : en
Publisher: CRC Press
Release Date : 2002



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Focusing on the "why's" of mathematics rather than the "how's," the unique approach of this text will appeal to a wide range of readers, from those taking a first course in calculus to those seeking deeper insights or needing a transition from calculus to analysis. The author takes care to supply strong motivations for abstract concepts, thereby helping beginners overcome the intimidation often felt when first confronting abstraction. While emphasizing the "why's," the book does not entirely neglect the "how's" and provides sufficient exposure to the techniques through numerous exercises, with answers supplied in the back of the book.

A Textbook Of Topology


Author : B. C. Chatterjee
language : en
Publisher: Educa Books
Release Date : 2002-01-01



Download A Textbook Of Topology written by B. C. Chatterjee and has been published by Educa Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-01-01 with Mathematics categories.


The Book Is Written Primarily As A Textbook Of Topology For Postgraduate Students. The Topics Have Accordingly Been Selected. The Topics Will Also Stimulate The Students And Researchers In Mathematics And Mathematical Sciences. This Book Is An Exposition Of Some Fundamental Concepts Of Topology. Particular Emphasis Has Been Given On Naturality. The Book Is An Introductory And Elementary In Nature And Deals With Several Basic Concepts Of Topology. Moreover, There Are A Good Number Of Exercises Which Constitute An Integral Part Of The Book. Hints For Solution Of Some Selected Exercises Are Also Given. Content Highlights : - Preface # Elements Of Set Theory # Topological Spaces # Separation Axioms # Real Functions # Countability # Compactness # Connectedness # Metric Spaces # Homotopy And Fundamental Groups # Bibliography # Index

Introduction To Topology


Author : Bert Mendelson
language : en
Publisher: Courier Corporation
Release Date : 2012-04-26



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Concise undergraduate introduction to fundamentals of topology — clearly and engagingly written, and filled with stimulating, imaginative exercises. Topics include set theory, metric and topological spaces, connectedness, and compactness. 1975 edition.