## Lecture Notes On Mathematical Olympiad Courses: For Junior Section – Volume 2

Olympiad mathematics is not a collection of techniques of solving mathematical problems but a system for advancing mathematical education. This book is based on the lecture notes of the mathematical Olympiad training courses conducted by the author in Singapore. Its scope and depth not only…

## Norm Derivatives and Characterizations of Inner Product Spaces

The book provides a comprehensive overview of the characterizations of real normed spaces as inner product spaces based on norm derivatives and generalizations of the most basic geometrical properties of triangles in normed spaces. Since the appearance of Jordan–von Neumann’s classical theorem (The Parallelogram Law)…

## Elementary Functional Analysis

This text is an introduction to functional analysis which requires readers to have a minimal background in linear algebra and real analysis at the first-year graduate level. Prerequisite knowledge of general topology or Lebesgue integration is not required. The book explains the principles and applications…

## Problems And Solutions in Introductory And Advanced Matrix Calculus

As an extensive collection of problems with detailed solutions in introductory and advanced matrix calculus, this self-contained book is ideal for both graduate and undergraduate mathematics students. The coverage includes systems of linear equations, linear differential equations, functions of matrices and the Kronecker product. Many…

## Fractional Calculus for Scientists and Engineers (Lecture Notes in Electrical Engineering)

This book gives a practical overview of Fractional Calculus as it relates to Signal Processing

## Logica: Metodo Breve (UNITEXT) (Italian Edition)

Senza richiedere prerequisiti il testo si propone di fornire una dimostrazione dei fondamentali teoremi della logica matematica (compattezza, completezza di Gödel, Löwenheim-Skolem) introducendo i concetti sintattici e semantici in modo progressivo, dalla logica booleana a quella predicativa. Per facilitare la lettura attiva, il testo contiene…

## Algebra lineare: per tutti (UNITEXT) (Italian Edition)

Il volume è dedicato a tutti gli studenti delle Facoltà scientifiche che debbano affrontare l’esame di Algebra lineare

## Intersections of Hirzebruch–Zagier Divisors and CM Cycles (Lecture Notes in Mathematics)

This monograph treats one case of a series of conjectures by S. Kudla, whose goal is to show that Fourier of Eisenstein series encode information about the Arakelov intersection theory of special cycles on Shimura varieties of orthogonal and unitary type. Here, the Eisenstein series…

## Classical Summation in Commutative and Noncommutative L-Spaces (Lecture Notes in Mathematics, Vol. 2021)

This book develops a systematic scheme that makes it possible to transfer important parts of the theory of summation of general orthonormal series into a similar theory for series in noncommutative Lp-spaces built over a noncommutative measure space.

## Development and Application of the Finite Element Method based on MatLab

The intention of this booklet is a brief but general introduction into the treatment of the Finite Element Method (FEM). The FEM has become the leading method in computer–oriented mechanics, so that many scienti?c brancheshavegrownup besides overthelastdecades. Nevertheless,theFEM today is a question of economy. On…

## Quilts: Central Extensions, Braid Actions, and Finite Groups (Lecture Notes in Mathematics)

Quilts are 2-complexes used to analyze actions and subgroups of the 3-string braid group and similar groups. This monograph establishes the fundamentals of quilts and discusses connections with central extensions, braid actions, and finite groups. Most results have not previously appeared in a widely available…

## Computer Algebra Methods for Equivariant Dynamical Systems (Lecture Notes in Mathematics)

This book starts with an overview of the research of Gröbner bases which have many applications in various areas of mathematics since they are a general tool for the investigation of polynomial systems. The next chapter describes algorithms in invariant theory including many examples and…

## Elemental Methods in Ergodic Ramsey Theory

This book, suitable for graduate students and professional mathematicians alike, didactically introduces methodologies due to Furstenberg and others for attacking problems in chromatic and density Ramsey theory via recurrence in topological dynamics and ergodic theory, respectively. Many standard results are proved, including the classical theorems…

## Lie Algebras: Madison 1987. Proceedings of a Workshop held in Madison, Wisconsin, August 23-28, 1987 (Lecture Notes in Mathematics)

During the academic year 1987-1988 the University of Wisconsin in Madison hosted a Special Year of Lie Algebras. A Workshop on Lie Algebras, of which these are the proceedings, inaugurated the special year. The principal focus of the year and of the workshop was the…

## Harmonic Functions on Groups and Fourier Algebras (Lecture Notes in Mathematics)

This research monograph introduces some new aspects to the theory of harmonic functions and related topics. The authors study the analytic algebraic structures of the space of bounded harmonic functions on locally compact groups and its non-commutative analogue, the space of harmonic functionals on Fourier…

## Block Error-Correcting Codes: A Computational Primer (Universitext)

Error-correcting codes have been incorporated in numerous working communication and memory systems. This book covers the mathematical aspects of the theory of block error-correcting codes together, in mutual reinforcement, with computational discussions, implementations and examples of all relevant concepts, functions and algorithms. This combined approach…

## Jacobi-Like Forms, Pseudodifferential Operators, and Quasimodular Forms (Springer Monographs in Mathematics)

This book explores various properties of quasimodular forms, especially their connections with Jacobi-like forms and automorphic pseudodifferential operators. The material that is essential to the subject is presented in sufficient detail, including necessary background on pseudodifferential operators, Lie algebras, etc., to make it accessible also…

## Gottlieb and Whitehead Center Groups of Spheres, Projective and Moore Spaces

This is a monograph that details the use of Siegel’s method and the classical results of homotopy groups of spheres and Lie groups to determine some Gottlieb groups of projective spaces or to give the lower bounds of their orders. Making use of the properties…

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