Immerse yourself in a literary tapestry woven with the finest threads of poetic expression. "Short Poetry Collection 200 (Unabridged)" presents a captivating anthology of 200 poems, each a masterpiece in its own right. From the lyrical musings of renowned poets like William Shakespeare and Emily Dickinson to the poignant verses of lesser-known voices, this collection offers a kaleidoscope of emotions, insights, and timeless beauty. Prepare to be transported by the power of words as you del...

Covering topics in graph theory, L-functions, p-adic geometry, Galois representations, elliptic fibrations, genus 3 curves and bad reduction, harmonic analysis, symplectic groups and mould combinatorics, this volume presents a collection of papers covering a wide swath of number theory emerging from the third iteration of the international Women in Numbers conference, “Women in Numbers - Europe” (WINE), held on October 14–18, 2013 at the CIRM-Luminy mathematical conferenc...

Are past lives truly past, or are they simultaneous lives? Is it possible that in traumatic situations we lose a part of our soul? And if so, is it possible to recover the fragment that was lost? After having written about the basic technique, the space between lives, life before birth, the purpose of the soul, and the influence of lost souls in the genesis of certain emotional disturbances, the author now presents a novel approach to Past Life Therapy based on his experience of his twenty...

This amazingly condensed guide covers integral & differential calculus. The guide includes: definitions & interpretations, integration formulas & techniques, improper integrals, geometry & physics, differential equations, Taylor's formula, numerical integration, sequences & series of real numbers, and convergence tests and power series.

This selection of problems in Group Theory is principally aimed at undergraduate (honours) and postgraduate students of mathematics. Excepting a few, these problems are meant only to supplement the existing ones in standard texts. The comments interspersed in the text help to put the problems in perspective with other problems and with the subject itself. The intention of the book is two-fold: to introduce via problems some concepts not usually taught at the master's level, and reinforce exis...

This book emphasizes the role of symmetry and presents as many viewpoints as possible of an important phenomenon — the functional equation of the associated zeta-function. It starts from the basics before warping into the space of new interest; from the ground state to the excited state. For example, the celebrated Gauss quadratic reciprocity law is proved in four independent ways, which are in some way or other dependent on the functional equation. The proofs rest on finite fields, repres...

This is a mathematically rigorous introduction to fractals which emphasizes examples and fundamental ideas. Building up from basic techniques of geometric measure theory and probability, central topics such as Hausdorff dimension, self-similar sets and Brownian motion are introduced, as are more specialized topics, including Kakeya sets, capacity, percolation on trees and the traveling salesman theorem. The broad range of techniques presented enables key ideas to be highlighted, without th...

The landscape of homological algebra has evolved over the last half-century into a fundamental tool for the working mathematician. This book provides a unified account of homological algebra as it exists today. The historical connection with topology, regular local rings, and semi-simple Lie algebras are also described. This book is suitable for second or third year graduate students. The first half of the book takes as its subject the canonical topics in homological algebra: derived funct...

Hardy's Z-function, related to the Riemann zeta-function ζ(s), was originally utilised by G. H. Hardy to show that ζ(s) has infinitely many zeros of the form ½+it. It is now amongst the most important functions of analytic number theory, and the Riemann hypothesis, that all complex zeros lie on the line ½+it, is perhaps one of the best known and most important open problems in mathematics. Today Hardy's function has many applications; among others it is used for extensive calculations rega...

The 2003 second volume of this account of Kaehlerian geometry and Hodge theory starts with the topology of families of algebraic varieties. Proofs of the Lefschetz theorem on hyperplane sections, the Picard–Lefschetz study of Lefschetz pencils, and Deligne theorems on the degeneration of the Leray spectral sequence and the global invariant cycles follow. The main results of the second part are the generalized Noether–Lefschetz theorems, the generic triviality of the Abel–Jacobi maps, and m...

This comprehensive monograph is ideal for established researchers in the field and also graduate students who wish to learn more about the subject. The text is made accessible to a broad audience as it does not require any knowledge of Lie groups and only a limited knowledge of differential geometry. The author's primary emphasis is on potential theory on the hyperbolic ball, but many other relevant results for the hyperbolic upper half-space are included both in the text and in the end-of...

In its simplest form, Hodge theory is the study of periods – integrals of algebraic differential forms which arise in the study of complex geometry and moduli, number theory and physics. Organized around the basic concepts of variations of Hodge structure and period maps, this volume draws together new developments in deformation theory, mirror symmetry, Galois representations, iterated integrals, algebraic cycles and the Hodge conjecture. Its mixture of high-quality expository and researc...