Mathematical theory of elasticity

Theory of Elasticity

Covering not only the ordinary theory of the deformation of solids, this book also covers topics such as thermal conduction and viscosity in solids.

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Set Theory

Presents various theorems of the theory of sets along with complete proofs. This book discusses strengthening of theorems, the simplification of proof

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Extension Theory

The Ausdehnungslehre of 1862 is Grassmann's mature presentation of his extension theory. The work captured his mathematical achievements. This book in

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Mathematical Theory of Optics

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Mathematical Theory of Communication

Shannon's major precept, that all communication is essentially digital, is commonplace among the digitalia that many wonder why Shannon needed to stat

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Game Theory

Offers a gentle introduction to the mathematics of both sides of game theory: combinatorial and classical. The combination allows for a dynamic and ri

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Geometric Set Theory

Introduces a new research direction in set theory: the study of models of set theory with respect to their extensional overlap or disagreement. The bo

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Quadratic Number Theory

Offers an introduction to algebraic number theory for readers with a moderate knowledge of elementary number theory and some familiarity with the term

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Geometric Group Theory

Geometric group theory refers to the study of discrete groups using tools from topology, geometry, dynamics and analysis. The field is evolving very r

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Manifolds and $K$-Theory

Contains the proceedings of the conference on Manifolds, $K$-Theory, and Related Topics, held in June, 2014. The articles are a collection of research

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Representation Theory of Finite Groups: Algebra and Arithmetic

Representation theory plays important roles in geometry, algebra, analysis, and mathematical physics. This book presents an introduction to the repres

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Gauge Theory and the Topology of Four-manifolds

Offers a perspective on how 4-manifold theory was studied before the discovery of modern-day Seiberg-Witten theory. This book predates Donaldson's app

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Perverse Sheaves and Applications to Representation Theory

Since its inception around 1980, the theory of perverse sheaves has been a vital tool of fundamental importance in geometric representation theory. Th

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Zeta and $L$-functions in Number Theory and Combinatorics

Zeta and $L$-functions play a central role in number theory. They provide important information of arithmetic nature. This book, which grew out of the

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Vertex Operator Algebras, Number Theory and Related Topics

Explores active research on vertex operator algebras and vector-valued modular forms and offers original contributions to the areas of vertex algebras

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Tools of Mathematical Reasoning

Offers beginning undergraduate mathematics students a first exposure to introductory logic, proofs, sets, functions, number theory, relations, finite

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75 Years of Mathematics of Computation

Includes papers covering topics in computational number theory and computational algebra, and twelve papers covering topics such as machine learning,

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Representations of Algebraic Groups

Gives an introduction to the general theory of representations of algebraic group schemes. This title deals with representation theory of reductive al

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Sum of Squares

Provides a concise state-of-the-art overview of the theory and applications of polynomials that are sums of squares. This is an exciting and timely to

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Topology of Numbers

Provides an introduction to number theory at the undergraduate level, emphasizing geometric aspects of the subject. The geometric approach is exploite

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Cohomological Analysis of Partial Differential Equations and Secondary Calculus

Focuses on the fundamentals of a theory, which is an analog of affine algebraic geometry for partial differential equations. This work describes appli

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Mathematical Finance

This book concentrates on the theory of mathematical finance and the pricing of derivatives around the theory. The topics are presented from their mat

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Mathematical Analysis

It provides a transition from elementary calculus to advanced courses in real and complex function theory and introduces the reader to some of the abs

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Automorphic Forms and Related Topics

Addresses various aspects of the theory of automorphic forms and its relations with the theory of $L$-functions, the theory of elliptic curves, and re

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Introduction to Riemann Surfaces

Covers the classical theory of abstract Riemann surfaces. This book presents the requisite function theory and topology for Riemann surfaces. It also

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One-Dimensional Ergodic Schrodinger Operators

Beginning with a refresher on key topics in spectral theory, this volume presents the basic theory of discrete one-dimensional Schrodinger operators w

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Knot Book

Knots are familiar objects. Yet the mathematical theory of knots quickly leads to deep results in topology and geometry. This work offers an introduct

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Stochastic Analysis on Manifolds

Probability theory has become a convenient language and a useful tool in many areas of modern analysis. This book intends to explore part of this conn

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Foliations, Volume 2

A guide to the qualitative theory of foliations. It features topics including: analysis on foliated spaces, characteristic classes of foliations and f

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Complex Analysis

Offers a rigorous introduction on an elementary level to the theory of analytic functions of one complex variable. The book covers standard topics in

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Introduction to Quiver Representations

Provides an introduction to the representation theory of quivers and finite dimensional algebras. It gives a thorough and modern treatment of the alge

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Topics in Differential Geometry

Treats the fundamentals of differential geometry: manifolds, flows, Lie groups and their actions, invariant theory, differential forms and de Rham coh

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Algebra

Presents an introduction to algebraic number theory, and the rudiments of algebraic geometry. This book includes such topics as transfer and character

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Set Theory And Foundations Of Mathematics: An Introduction To Mathematical Logic - Volume I: Set Theory

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Course in Mathematical Statistics and Large Sample Theory

This graduate-level textbook is primarily aimed at graduate students of statistics, mathematics, science, and engineering who have had an undergraduat

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Frontiers in Mathematical Biology

From a mathematical point of view, physiologically structured population models are an underdeveloped branch of the theory of infinite dimensional dyn

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Mathematical Physics: Classical Mechanics

As a limit theory of quantum mechanics, classical dynamics comprises a large variety of phenomena, from computable (integrable) to chaotic (mixing) be

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General Theory of Relativity

Suitable for postgraduate students and researchers in the field of astrophysics and mathematical physics, this book lays the mathematical foundation o

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Philosophical and Mathematical Logic

This book was written to serve as an introduction to logic, with in each chapter - if applicable - special emphasis on the interplay between logic and philosophy, mathematics, language and (theoretical) computer science. The reader will not only be provided with an introduction to classical logic, but to philosophical (modal, epistemic, deontic, temporal) and intuitionist...

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Theory of Quantum Information

Intended for graduate students and researchers, this book presents a formal development of the mathematical theory of quantum information. Largely sel

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Theory of Intermolecular Forces

The Theory of Intermolecular Forces sets out the mathematical techniques needed to describe and calculate intermolecular interactions in physics and c

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Theory of Vibration

This fully revised and updated third edition covers the physical and mathematical fundamentals of vibration analysis, including single degree of freed

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Mathematical Topics in Fluid Mechanics

One of the most challenging topics in applied mathematics has been the development of the theory of nonlinear partial differential equations. Despite

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Topics In Contemporary Mathematical Physics

This new (second) edition contains a general treatment of quantum field theory (QFT) in a simple scalar field setting in addition to the modern materi

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Fascinating World of Graph Theory

Graph theory goes back several centuries and revolves around the study of graphs--mathematical structures showing relations between objects. With appl

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Concise Encyclopedia of Coding Theory

Coding theory has grown into a discipline with many practical applications requiring various mathematical techniques in the last few decades. Most top

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Introduction to the Mathematical and Statistical Foundations of Econometrics

Intended for use in a rigorous introductory PhD level course in econometrics, or a field course in econometric theory, this book covers the measure-th

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Supporting Early Mathematical Development Taylor & Francis Ltd

This is an essential text, combining theory and practice to enable successful mathematical education for children from birth to twelve years. It considers how students, academics, parents and professionals can develop their mathematical thinking practice whilst acknowledging we will always be practising the craft of teaching mathematics. Charting the delivery of mathemati...

Dostupnost: do 90 dnů

Supporting Early Mathematical Development Taylor & Francis Ltd

This is an essential text, combining theory and practice to enable successful mathematical education for children from birth to twelve years. It considers how students, academics, parents and professionals can develop their mathematical thinking practice whilst acknowledging we will always be practising the craft of teaching mathematics. Charting the delivery of mathemati...

Dostupnost: do 90 dnů

Game Theory Basics

Game theory analyzes interaction - of internet users, competing firms, or cancer cells. This text explains the mathematical basics of game theory from

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Adaptive Filter Theory

For courses in Adaptive Filters. Haykin examines both the mathematical theory behind various linear adaptive filters and the elements of supervised

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Elementary Number Theory

Our intention in writing this book is to give an elementary introduction to number theory which does not demand a great deal of mathematical back­ gr

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Financial Theory with Python

Written by the best-selling author of Python for Finance, Yves Hilpisch, this new book explains financial, mathematical, and Python programming concep

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Theory of Games and Economic Behavior

Published in 1944, "Theory of Games and Economic Behavior" featured a groundbreaking mathematical theory of economic and social organization, based on

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Introductory Path to Quantum Theory

Since the 17th century, physical theories have been expressed in the language of mathematical equations.

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Sketches of an Elephant: A Topos Theory Compendium

Topos Theory is a subject that stands at the junction of geometry, mathematical logic and theoretical computer science, and it derives much of its pow

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The Theory of (Not Quite) Everything: - Kara Gnodde

<p>Like circles of a Venn diagram, Mimi and Art Brotherton have always come as a pair. Devoted siblings, they're bound together in their childhood home by the tragic death of their parents.Art believes that people - including his sister - are incapable of making sensible decisions when it comes to love. That’s what algorithms are for.Mimi knows that her brother is a...

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Berry Phases in Electronic Structure Theory

A pedagogical introduction to a set of mathematical ideas associated with Berry phases that have revolutionized understanding of key aspects of the be

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Group Theory in a Nutshell for Physicists

Although group theory is a mathematical subject, it is indispensable to many areas of modern theoretical physics, from atomic physics to condensed mat

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Maurer–Cartan Methods in Deformation Theory

This text provides a unique overview of the Maurer—Cartan methods in algebra, geometry, topology, and mathematical physics, offering a new conceptual

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