Mathematics & Science Books

This book is an account of the theory of Hardy spaces in one dimension, with emphasis on some of the exciting developments of the past two decades or so. The last seven of the ten chapters are devoted in the main to these...

This book presents a unified theory of the Finite Element Method and the Boundary Element Method for a numerical solution of second order elliptic boundary value problems. This includes the solvability, stability, and error...

Have you ever wondered why the language of modern physics centres on geometry? Or how quantum operators and Dirac brackets work? What a convolution really is? What tensors are all about? Or what field theory...

Fundamentals of Imaging.- Case Examples of Imaging.- Image and Noise Models.- Regularization.- Variational Regularization Methods for the Solution of Inverse Problems.- Convex Regularization Methods for Denoising.- Variational Calculus for Non-convex...

The content of this book is multidisciplinary by nature. It uses mathematical tools from the theories of probability and stochastic processes, partial differential equations, and asymptotic analysis, combined with the physics...

The book covers the necessary pre-requisites from probability theory, stochastic processes, stochastic integrals and stochastic differential equations. It includes detailed treatment of the fundamental properties of stochastic...

Production Planning and MIP.- The Modeling and Optimization Approach.- Production Planning Models and Systems.- Mixed Integer Programming Algorithms.- Classification and Reformulation.- Reformulations in Practice.- Basic Polyhedral Combinatorics for...

This textbook illuminates the field of discrete mathematics with examples, theory, and applications of the discrete volume of a polytope. The authors have weaved a unifying thread through basic yet deep ideas in discrete geometry, combinatorics, and...

This book describes a wide variety of speculations by many authors about the consequences for humanity of coming into contact with extraterrestrial intelligence. The assumptions underlying those speculations are examined, and...

Dream.- Imagine It.- Work on the Big Picture.- Aim High.- BS!.- Brainstorm.- Create Desire.- Tell a Story.- Sleep on It.- Think JFK.- Judge.- Get Real.- Play Games.- Simulate It.- Run a Thought Experiment.- Know Your Limits.- Weigh Ideas.- Ask.- Ask Dumb...

This textbook can be used to teach electromagnetism to a wide range of undergraduate science majors in physics, electrical engineering or materials science. By making lesser demands on mathematical knowledge than typical texts,...

Elementary Probabilities.- Random Variables.- Random Vectors.- Stochastic Processes.- Estimation and Testing.- Simple Linear Regression.

Bases and Basic Sequences.- The classical sequence spaces.- Special types of bases.- Spaces of continuous functions.- L_1(\mu)-spaces and C(K)-spaces.- L_p(\mu)-spaces, 1 \leq p < \infty.- Factorization Theory.- Absolutely Summing Operators.-...

Background: Introduction.- The Bohr model of the atom.- Numerical values and the fine structure constant.- Atomic dimensions - is a reasonable atomic diameter? .- Localizing the electron: Is a point particle reasonable? .- The classical radius of the...

This book is unique in that it looks at geometry from 4 different viewpoints - Euclid-style axioms, linear algebra, projective geometry, and groups and their invariantsApproach makes the subject accessible to readers of all mathematical tastes, from the...

Sanitation and the Food Industry.- The Relationship of Biosecurity to Sanitation.- The Relationship of Microorganisms to Sanitation.- The Relationship of Allergens to Sanitation.- Food Contamination Sources.- Personal Hygiene and Sanitary Food Handling.-...

Setting the Stage.- Linear Algebra over the Complex Numbers.- Complex Scalar Product Spaces (a.k.a. Hilbert Spaces).- Lie Groups and Lie Group Representations.- New Representations from Old.- Irreducible Representations and Invariant Integration.-...

Introduction: 25 Years from Today.- The Legacy of Apollo: The geopolitical, cultural, and scientific legacy of Apollo, including the discovery of lunar energy resources.- Global Energy in the 21st Century: The increasing future demand for energy and the...

Preface * Foreword by General George Babbitt * Introduction * Background * Backgound Concepts * An Exact Model * Tactical Planning Models * A Continuous Time * Lateral Resupply * Capacity Limited Systems * Extension of Palm's Theorem to Non-Stationary...

Convex sets and convex functions: the fundamentals.- Continuity and ?(X).- The derivatives and the subdifferential.- Minima and quasi minima.- The Fenchel conjugate.- Duality.- Linear programming and game theory.- Hypertopologies, hyperconvergences.-...

Observation, Control, and Stabilization.- Well-Posedness in a Riesz Basis Setting.- Observability of Strings.- Observability of Beams.- Vector Sum Estimates.- Problems on Spherical Domains.- Multidimensional Ingham-Type Theorems.- A General Ingham-Type...

Digital Signal Processing for Audio and Acoustics.- Foundations of Digital Signal Processing for Audio and Acoustics.- Filter Design for Audio Applications.- Acoustics and Auditory Perception.- to Acoustics and Auditory Perception.- Immersive Audio...

Getting to the Root of the Mystery; 2 Irrationality and its Consequences; 3 The Power of a Little Algebra; 4 Witchcraft; 5 Odds and Ends

Algebraic Varieties.- Algebraic Curves.- The Geometry of Elliptic Curves.- The Formal Group of an Elliptic Curve.- Elliptic Curves over Finite Fields.- Elliptic Curves over C.- Elliptic Curves over Local Fields.- Elliptic Curves over Global Fields.-...

The great response to the publication of the book Classical and Modern Fourier Analysishasbeenverygratifying.IamdelightedthatSpringerhasofferedtopublish the second edition of this book in two volumes: Classical Fourier...

This book introduces the geometry of 3-D vision, that is, the reconstruction of 3-D models of objects from a collection of 2-D images. It details the classic theory of two view geometry and shows that a more proper tool for...

From the reviews: "Paul Glasserman has written an astonishingly good book that bridges financial engineering and the Monte Carlo method. The book will appeal to graduate students, researchers, and most of all, practicing...

A carefully prepared account of the basic ideas in Fourier analysis and its applications to the study of partial differential equations. The author succeeds to make his exposition accessible to readers with a limited...

Grade inflation runs rampant at most colleges and universities, but faculty and administrators are seemingly unwilling to face the problem. This book explains why, exposing many of the misconceptions surrounding college grading...

Computers and Astronomy Perhaps every generation of astronomers believes that their telescopes are the best that have ever been. They are surely all correct! The great leap of our time is that computer-designed and machined parts have led to more...

Today's astronauts require many different abilities. They must not only be expert in performing flight simulations but must also be proficient in such dissimilar subjects as photography, thermodynamics, electrical repairs,...

1. The ?rst edition of this book was published in 1977. The text has been well received and is still used, although it has been out of print for some time. In the intervening three decades, a lot of interesting things have happened to mathematical logic:...

Geometry is a classical core part of mathematics which, with its birth, marked the beginning of the mathematical sciences. Thus, not surprisingly, geometry has played a key role in many important developments of mathematics in the past, as well as in...

The genesis of modern searches for observable meteoritic phenomena on the Moon is the paper by Lincoln La Paz in Popular Astronomy magazine in 1938. In it he argued that the absence of observed fashes of meteoritic impacts on...

This book covers compressible flow however the authors also show how wave phenomena in electromagnetism and solid mechanics can be treated using similar mathematical methods. It caters to the needs of the modern student by...

Squares.- Numbers, Numbers Everywhere.- Fibonacci Numbers.- Prime Numbers.- Choice and Chance.- Geometrical Constructions.- The Algebra of Group.

This book is the result of a 25-year-old project and comprises a collection of more than 500 attractive open problems in the field. The largely self-contained chapters provide a broad overview of discrete geometry, along with...

Problems.- Elementary Number Theory.- Euclidean Rings.- Algebraic Numbers and Integers.- Integral Bases.- Dedekind Domains.- The Ideal Class Group.- Quadratic Reciprocity.- The Structure of Units.- Higher Reciprocity Laws.- Analytic Methods.- Density...

* Foreword * The Integers * Groups * Rings * Polynomials * Vector Spaces and Modules * Some Linear Groups * Field Theory * Finite Fields * The Real and Complex Numbers * Sets * Appendix * Index

The study of capillarity is in the midst of a veritable explosion. What is offered here is not a comprehensive review of the latest research but rather a compendium of principles designed for the undergraduate student and for...

Stochastic processes and diffusion theory are the mathematical underpinnings of many scientific disciplines, including statistical physics, physical chemistry, molecular biophysics, communications theory and many more. Many...

Propositional Logic.- First-Order Logic.- Complete logical Calculi.- Foundations of Logic Programming.- Elements of Model Theory.- Incompleteness and Undecidability.- On the Theory of Self-Reference.