A Mathematical Introduction to String Theory
Classical string theory is concerned with the propagation of classical 1-dimensional curves 'strings', and the theory has connections to the calculus of variations, minimal surfaces and harmonic maps. The quantization of string theory gives rise t...
Introduction to String Theory
Graduate students typically enter into courses on string theory having little to no familiarity with the mathematical background so crucial to the discipline. As such, this book, based on lecture notes, edited and expanded, from the graduate cours...
Introduction to Mathematical Systems Theory
This book provides an introduction to the theory of linear systems and control for students in business mathematics, econometrics, computer science, and engineering. The focus is on discrete time systems, which are the most relevant in business ap...
Introduction to Mathematical Systems Theory
Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modem as well as the classical techniques of applied ...
Introduction to Mathematical Portfolio Theory
In this concise yet comprehensive guide to the mathematics of modern portfolio theory the authors discuss mean-variance analysis, factor models, utility theory, stochastic dominance, very long term investing, the capital asset pricing model, risk ...
Notes on Logic and Set Theory
This short textbook provides a succinct introduction to mathematical logic and set theory, which together form the foundations for the rigorous development of mathematics. It will be suitable for all mathematics undergraduates coming to the subjec...
Mathematica¿ in Action
This book is an example-based introduction to techniques, from elementary to advanced, of using Mathematica, a revolutionary tool for mathematical computation and exploration. By integrating the basic functions of mathematics with a powerful and e...
Mathematics
Mathematics is a concise introduction to six selected areas of 20th century mathematics providing numerous modern mathematical tools used in contemporary research in computer science, engineering, and other fields. The areas are: measure theory, h...
A Mathematical Introduction to Logic
A Mathematical Introduction to Logic, Second Edition, offers increased flexibility with topic coverage, allowing for choice in how to utilize the textbook in a course. The author has made this edition more accessible to better meet th...
Geometric Transformations for 3D Modelling
Written from a mathematical standpoint accessible to students, teachers, and professionals studying or practicing in engineering, mathematics, or physics, the new second edition is a comprehensive introduction to the theory and application of tran...
Game Theory
This book is an introduction to game theory from a mathematical perspective. It is intended to be a ?rst course for undergraduate students of mathematics, but I also hope that it will contain something of interest to advanced students or researche...
The Joy of Abstraction
Mathematician and popular science author Eugenia Cheng is on a mission to show you that mathematics can be flexible, creative, and visual. This joyful journey through the world of abstract mathematics into category theory will demystify mathematic...
Joy of Abstraction
Mathematician and popular science author Eugenia Cheng is on a mission to show you that mathematics can be flexible, creative, and visual. This joyful journey through the world of abstract mathematics into category theory will demystify mathematic...
The Joy of Abstraction
Mathematician and popular science author Eugenia Cheng is on a mission to show you that mathematics can be flexible, creative, and visual. This joyful journey through the world of abstract mathematics into category theory will demystify mathematic...
Mathematical Methods of Population Biology
This introduction to mathematical methods that are useful for studying population phenomena is intended for advanced undergraduate and graduate students, and will be accessible to scientists who do not have a strong mathematics background. The mat...
An Introduction to Mathematical Analysis for Economic Theory and Econometrics
Providing an introduction to mathematical analysis as it applies to economic theory and econometrics, this book bridges the gap that has separated the teaching of basic mathematics for economics and the increasingly advanced mathematics demanded i...
Sets, Models and Proofs
This textbook provides a concise and self-contained introduction to mathematical logic, with a focus on the fundamental topics in first-order logic and model theory. Including examples from several areas of mathematics (algebra, linear algebra and...
String Theory in a Nutshell
The essential introduction to modern string theory-now fully expanded and revised String Theory in a Nutshell is the definitive introduction to modern string theory. Written by one of the world's leading authorities on the subject, this concise an...
Measures, Integrals and Martingales
A concise yet elementary introduction to measure and integration theory, which are vital in many areas of mathematics, including analysis, probability, mathematical physics and finance. In this highly successful textbook, core ideas of measure and...
Dynamical Oceanography
This textbook provides a mathematical introduction to the theory of large-scale ocean circulation and is accessible for readers with an elementary knowledge of mathematics and physics, including continuum mechanics and solution methods for ordinar...
Quantum Mechanics and Quantum Field Theory
Explaining the concepts of quantum mechanics and quantum field theory in a precise mathematical language, this textbook is an ideal introduction for graduate students in mathematics, helping to prepare them for further studies in quantum physics. ...
Introduction to the Mathematical Theory of Waves
This book is based on an undergraduate course taught at the IAS/Park City Mathematics Institute (Utah) on linear and nonlinear waves. The first part of the text overviews the concept of a wave, describes one-dimensional waves using functions of tw...
Roads to Infinity
Winner of a CHOICE Outstanding Academic Title Award for 2011! This book offers an introduction to modern ideas about infinity and their implications for mathematics. It unifies ideas from set theory and mathematical logic, and traces their effects...
Sets, Logic and Categories
Set theory, logic and category theory lie at the foundations of mathematics, and have a dramatic effect on the mathematics that we do, through the Axiom of Choice, Gödel's Theorem, and the Skolem Paradox. But they are also rich mathematical theori...
Introduction To Mathematics
An Unabridged, Unaltered Edition To Include All Illustrations: The Abstract Nature Of Mathematics - Variables - Methods Of Application - Dynamics - The Symbolism Of Mathematics - Generalizations Of Number - Imaginary Numbers - Coordinate Geometry - Conic Sections - Functions - Periodicity In Nature - Trigonometry Series - The Differential Calculus - Geometry - Quantity - (Bibliography) - Comprehensive Index
Introduction to Mathematics
Concise volume for general students by prominent philosopher and mathematician explains what math is and does, and how mathematicians do it. "Lucid and cogent ... should delight you." ― The New York Times. 1911 edition....
A concise introduction to mathematical statistics
This book gives a thorough introduction to mathematical statistics. The text is unique as an introductory text, mainly by the use of the Riemann-Stieltjes integral. This enables a unified treatment of basic concepts in probability and inference th...
Mathematical Introduction To General Relativity, A
The book aims to give a mathematical presentation of the theory of general relativity (that is, spacetime-geometry-based gravitation theory) to advanced undergraduate mathematics students. Mathematicians will find spacetime physics presented in th...
Mathematical Introduction To General Relativity, A
The book aims to give a mathematical presentation of the theory of general relativity (that is, spacetime-geometry-based gravitation theory) to advanced undergraduate mathematics students. Mathematicians will find spacetime physics presented in th...
Mathematical Analysis
A self-contained introduction to the fundamentals of mathematical analysis Mathematical Analysis: A Concise Introduction presents the foundations of analysis and illustrates its role in mathematics. By focusing on the essentials, reinforcing learn...
Modeling Social Behavior
A comprehensive introduction to mathematical and agent-based modeling of social behavior This book provides a unified, theory-driven introduction to key mathematical and agent-based models of social dynamics and cultural evolution, teaching reader...
Type Theory and Formal Proof
Type theory is a fast-evolving field at the crossroads of logic, computer science and mathematics. This gentle step-by-step introduction is ideal for graduate students and researchers who need to understand the ins and outs of the mathematical mac...
Proof and the Art of Mathematics
This book offers an introduction to the art and craft of proof-writing. The author, a leading research mathematician, presents a series of engaging and compelling mathematical statements with interesting elementary proofs. These proofs capture a wide range of topics, including number theory, combinatorics, graph theory, the theory of games, geometry, infinity, order theory, and real analysis. The goal is to show students and aspiring mathematicians how to write proofs with elegance and precision.
A Mathematician's Apology
A Mathematician's Apology is the famous essay by British mathematician G. H. Hardy. It concerns the aesthetics of mathematics with some personal content and gives the layman an insight into the mind of a working mathematician. It is an attempt to justify and explain, pure mathematics. One of the main themes of the book is the beauty that mathematics possesses, which Hardy compares to painting and poetry. G. H. Hardy (7 Feb 1877 - 1 Dec 1947) was an eccentric British mathematician who worked extensively in mathematical analysis and analytical number theory alongside J.E Littlewood. He is perhaps even better known for his adoption and mentoring of the self-taught Indian mathematical genius, Srinivasa Ramanujan. Hardy wanted his work to be referred to as pure mathematics rather than applied mathematics. In his view, mathematics was not something to be used in social destruction and to fulfill political purposes.
Introduction to Mathematical Statistics
Statistics is the science that focuses on drawing conclusions from data, by modeling and analyzing the data using probabilistic models. In 'An Introduction to Mathematical Statistics' the authors describe key concepts from statistics and give a ma...
Introduction to Mathematical Cryptography
This self-contained introduction to modern cryptography emphasizes the mathematics behind the theory of public key cryptosystems and digital signature schemes. The book focuses on these key topics while developing the mathematical tools needed for...
Introduction to Mathematical Physics
A comprehensive survey of all the mathematical methods that should be available to graduate students in physics. In addition to the usual topics of analysis, such as infinite series, functions of a complex variable and some differential equations ...
Introduction to Mathematical Philosophy
As a mathematician, philosopher, logician, historian, socialist, pacifist and social critic, Bertrand Russell is noted for his "revolt against idealism" in Britain in the early 20th century, as well as his pacifist activism durin...
