Juan B. Seoane's Books

Lineability

The Search for Linearity in Mathematics

By: Richard M. Aron,Luis Bernal-Gonzalez,Daniel M. Pellegrino,Juan B. Seoane Sepulveda

Write a review Read reviews Take a Quiz Solve Book Puzzle

Lineability

The Search for Linearity in Mathematics

By: Richard M. Aron,Luis Bernal-Gonzalez,Daniel M. Pellegrino,Juan B. Seoane Sepulveda

Renewed interest in vector spaces and linear algebras has spurred the search for large algebraic structures composed of mathematical objects with special properties. Bringing together research that was otherwise scattered throughout the literature, Lineability: The Search for Linearity in Mathematics collects the main results on the conditions for

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

324

Publisher

CRC Press

Published Date

ISBN 10

1482299100

ISBN 13

9781482299106

Geometry of the Unit Sphere in Polynomial Spaces

By: Jesús Ferrer,Domingo García,Manuel Maestre,Gustavo A. Muñoz,Daniel L. Rodríguez,Juan B. Seoane

Write a review Read reviews Take a Quiz Solve Book Puzzle

Geometry of the Unit Sphere in Polynomial Spaces

By: Jesús Ferrer,Domingo García,Manuel Maestre,Gustavo A. Muñoz,Daniel L. Rodríguez,Juan B. Seoane

This brief presents a global perspective on the geometry of spaces of polynomials. Its particular focus is on polynomial spaces of dimension 3, providing, in that case, a graphical representation of the unit ball. Also, the extreme points in the unit ball of several polynomial spaces are characterized. Finally, a number of applications to obtain sharp classical polynomial inequalities are presented. The study performed is the first ever complete account on the geometry of the unit ball of polynomial spaces. Nowadays there are hundreds of research papers on this topic and our work gathers the state of the art of the main and/or relevant results up to now. This book is intended for a broad audience, including undergraduate and graduate students, junior and senior researchers and it also serves as a source book for consultation. In addition to that, we made this work visually attractive by including in it over 50 original figures in order to help in the understanding of all the results and techniques included in the book.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

140

Publisher

Springer Nature

Published Date

ISBN 10

3031236769

ISBN 13

9783031236761

Real Analysis

An Undergraduate Problem Book for Mathematicians, Applied Scientists, and Engineers

By: Gustavo Da Silva Araújo,Luis Bernal González,José L. Gámez Merino,María E. Martínez Gómez,Gustavo A. Muñoz Fernández,Daniel L. Rodríguez Vidanes,Juan B. Seoane Sepúlveda

Write a review Read reviews Take a Quiz Solve Book Puzzle

Real Analysis

An Undergraduate Problem Book for Mathematicians, Applied Scientists, and Engineers

By: Gustavo Da Silva Araújo,Luis Bernal González,José L. Gámez Merino,María E. Martínez Gómez,Gustavo A. Muñoz Fernández,Daniel L. Rodríguez Vidanes,Juan B. Seoane Sepúlveda

Real Analysis: An Undergraduate Problem Book for Mathematicians, Applied Scientists, and Engineers is a classical Real Analysis/Calculus problem book. This topic has been a compulsory subject for every undergraduate studying mathematics or engineering for a very long time. This volume contains a huge number of engaging problems and solutions, as well as detailed explanations of how to achieve these solutions. This latter quality is something that many problem books lack, and it is hoped that this feature will be useful to students and instructors alike. Features Hundreds of problems and solutions Can be used as a stand-alone problem book, or in conjunction with the author’s textbook, Real Analysis: An Undergraduate Textbook for Mathematicians, Applied Scientists, and Engineers, ISBN 9781032481487 Perfect resource for undergraduate students studying a first course in Calculus or Real Analysis Contains explanatory figures, detailed techniques, tricks, hints, and “recipes” on how to proceed once we have a calculus problem in front of us.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

530

Publisher

CRC Press

Published Date

ISBN 10

1040038697

ISBN 13

9781040038697

Generalized Notions of Continued Fractions

Ergodicity and Number Theoretic Applications

By: Juan Fernández Sánchez,Jerónimo López-Salazar Codes,Juan B. Seoane Sepúlveda,Wolfgang Trutschnig

Write a review Read reviews Take a Quiz Solve Book Puzzle

Generalized Notions of Continued Fractions

Ergodicity and Number Theoretic Applications

By: Juan Fernández Sánchez,Jerónimo López-Salazar Codes,Juan B. Seoane Sepúlveda,Wolfgang Trutschnig

Ancient times witnessed the origins of the theory of continued fractions. Throughout time, mathematical geniuses such as Euclid, Aryabhata, Fibonacci, Bombelli, Wallis, Huygens, or Euler have made significant contributions to the development of this famous theory, and it continues to evolve today, especially as a means of linking different areas of mathematics. This book, whose primary audience is graduate students and senior researchers, is motivated by the fascinating interrelations between ergodic theory and number theory (as established since the 1950s). It examines several generalizations and extensions of classical continued fractions, including generalized Lehner, simple, and Hirzebruch-Jung continued fractions. After deriving invariant ergodic measures for each of the underlying transformations on [0,1] it is shown that any of the famous formulas, going back to Khintchine and Levy, carry over to more general settings. Complementing these results, the entropy of the transformations is calculated and the natural extensions of the dynamical systems to [0,1]2 are analyzed. Features Suitable for graduate students and senior researchers Written by international senior experts in number theory Contains the basic background, including some elementary results, that the reader may need to know before hand, making it a self-contained volume

Average ratings

N/A