Название:Basic Topology 3: Algebraic Topology and Topology of Fiber Bundles
Автор: Adhikari Mahima Ranjan
Издательство: Springer
Год:2022
Формат:PDF
Страниц:468
Размер: 11,7 МБ
Язык: English

This third of the three-volume book is targeted as a basic course in algebraic topology and topology for fiber bundles for undergraduate and graduate students of mathematics. It focuses on many variants of topology and its applications in modern analysis, geometry, and algebra. Topics covered in this volume include homotopy theory, homology and cohomology theories, homotopy theory of fiber bundles, Euler characteristic, and the Betti number. It also includes certain classic problems such as the Jordan curve theorem along with the discussions on higher homotopy groups and establishes links between homotopy and homology theories, axiomatic approach to homology and cohomology as inaugurated by Eilenberg and Steenrod. It includes more material than is comfortably covered by beginner students in a one-semester course. Students of advanced courses will also find the book useful.

Название: Basic Topology 2: Topological Groups, Topology of Manifolds and Lie Groups
Автор:Adhikari A., Adhikari M.R.
Издательство:Springer
Год: 2022
Формат: PDF
Страниц:367
Размер: 10,3 МБ
Язык: English

This second of the three-volume book is targeted as a basic course in topology for undergraduate and graduate students of mathematics. It focuses on many variants of topology and its applications in modern analysis, geometry, algebra, and the theory of numbers. Offering a proper background on topology, analysis, and algebra, this volume discusses the topological groups and topological vector spaces that provide many interesting geometrical objects which relate algebra with geometry and analysis.

Название: Basic Topology 1: Metric Spaces and General Topology
Автор:Adhikari A., Adhikari M.R.
Издательство: New York: Springer
Год: 2022
Формат:PDF
Страниц:501
Размер: 10,1 МБ
Язык: English

This first of the three-volume book is targeted as a basic course in topology for undergraduate and graduate students of mathematics. It studies metric spaces and general topology. It starts with the concept of the metric which is an abstraction of distance in Euclidean space. The special structure of a metric space induces a topology that leads to many applications of topology in modern analysis and modern algebra, as shown in this volume. This volume also studies topological properties such as compactness and connectedness. Considering the importance of compactness in mathematics, this study covers the Stone–Cech compactification and Alexandroff one-point compactification. This volume also includes the Urysohn lemma, Urysohn metrization theorem, Tietz extension theorem, and Gelfand–Kolmogoroff theorem.

Название: College Algebra and Trigonometry, Global Edition 6th Edition
Автор:Lial M. et al.
Издательство:Pearson
Год:2017
Формат:PDF
Страниц:1199
Размер: 37,5 МБ
Язык: English

The College Algebra series, by Lial et al., combines the experience of master teachers to help students develop both the conceptual understanding and the analytical skills necessary for success in mathematics. With this latest edition, the authors respond to the challenges of new student expectations and new classroom models.

Название: Trigonometry, 10th Edition
Автор:Larson R.
Издательство: Cengage Learning
Год:2018
Формат:PDF
Страниц:606
Размер: 18,4 МБ
Язык: English

Larson's TRIGONOMETRY is known for delivering sound, consistently structured explanations and carefully written exercises. With the Tenth Edition, the author continues to revolutionize the way students learn by incorporating more real-world applications and innovative technology. How Do You See It? exercises give students practice applying the concepts. Summarize and Checkpoint questions reinforce understanding of skills.

Название: Algebra and Trigonometry, 6th Edition
Автор: Blitzer R.F.
Издательство:Pearson
Год:2018
Формат:PDF
Страниц:1304
Размер: 41,7 МБ
Язык: English

For courses in College Algebra.
Show students that our world is profoundly mathematical
Bob Blitzer continues to inspire students with his engaging approach to mathematics, making this beloved series the #1 in the market year after year. Blitzer draws on his unique background in mathematics and behavioral science to present a wide range of vivid applications in real-life situations. Students of all majors stay engaged because Blitzer uses pop-culture and up-to-date references to connect math to students' lives, showing that our world is profoundly mathematical.
With the new edition, Blitzer takes student engagement with the mathematical world to a whole new level drawing from applications across all fields as well as topics that are of interest to any college student (e.g., student loan debt, grade inflation, sleep hours of college students). Applications are also brought to life online in a new, assignable video series that explore the entertaining and mathematical Blitzer Bonus boxes. The new edition also aims to help more students to succeed in the course with just-in-time support in the text-such as Brief Review of prerequisite topics, Achieving Success boxes, and Retain the Concepts exercises-as well as support within MyLab Math such as new concept-level videos, assignable tools to enhance visualization, and more.

Название: Trigonometry with Applications, 11th edition
Автор: Barnett R.A., Ziegler M.R., Byleen K.E.
Издательство:John Wiley & Sons
Год: 2011
Формат: PDF
Страниц:618
Размер: 12,9 МБ
Язык: English

The 11th edition of Analytic Trigonometry continues to offer readers trigonometric concepts and applications. Almost every concept is illustrated by an example followed by a matching problem to encourage an active involvement in the learning process, and concept development proceeds from the concrete to the abstract. Extensive chapter review summaries, chapter and cumulative review exercises with answers keyed to the corresponding text sections, effective use of color comments and annotations, and prominent displays of important material to help master the subject.

Название: Advanced Mathematics: An Invitation in Preparation for Graduate School
Автор: Patrick Guidotti
Издательство: De Gruyter
Год: 2022
Страниц: 235
Язык: английский
Формат: epub
Размер: 24.4 MB

This exploration of a selection of fundamental topics and general purpose tools provides a roadmap to undergraduate students who yearn for a deeper dive into many of the concepts and ideas they have been encountering in their classes whether their motivation is pure curiosity or preparation for graduate studies. The topics intersect a wide range of areas encompassing both pure and applied mathematics. The emphasis and style of the book are motivated by the goal of developing self-reliance and independent mathematical thought. Mathematics requires both intuition and common sense as well as rigorous, formal argumentation.

Автор: Рыбалка Л. И., Кибец И. Н., Шкляревский И. О.
Название: 2002 задачи по физике
Издательство: Харьков: Фолио
Год: 2003
Страниц: 783
Формат: PDF
Размер: 52 МБ

Книга содержит залами по всему курсу элементарной физики — от сравнительно простых до самых сложных. Учитель, следующий типовой программе, найдет соответствующие ей задачи, пропуская более сложный материал, преподаватель физико-математического лицея или гимназии, работающий по авторской программе, выберет гс залами, которые ей соответствуют. Участники олимпиад и их наставники воспользуются задачами повышенной сложности. Ко всем задачам даны решения или указания, в приложении приведен необходимый справочный материал. Книга адресована учащимся старших классов и преподавателям школ, линеен и гимназий, выпускникам и абитуриентам.

Название: Advanced Graph Theory
Автор: Santosh Kumar Yadav
Издательство: Springer
Год: 2023
Страниц: 294
Язык: английский
Формат: pdf (true)
Размер: 11.96 MB

The present book is based on the curriculum of undergraduate and postgraduate courses of universities in India and abroad. Every effort is made to present the various topics in the theory of graphs in a logical manner with adequate historical background and include suitable figures to illustrate concepts and results ideally. The formidable exercises, neither easy nor straightforward, are bold faced and highlighted. The theory portion of each chapter is studied thoroughly as it helps solve many of the problems with comparative ease. Selected material from this book is used for a semester course on graph theory, while the entire book serves for a whole session course. In the last five decades graph theory has established itself as a worthwhile mathematical discipline and there are many applications of graph theory to a wide variety of subjects that include Operations Research, Physical Sciences, Economics, Genetics, Sociology, Linguistics, Engineering and Computer Science etc.