Intended for professionals of engineering, physical science, economics, business studies, and computer science, this handbook contains vital information and formulas for algebra, geometry, calculus, numerical methods, and statistics.

An analysis of novelistic explorations of modernism in mathematics and its cultural interrelations. Persuasively and engagingly, it demonstrates that modernism's relation to contemporary mathematics was often more analogous than adversarial.

This book 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.

Mathematics has profoundly changed our world, from banking to listening to music. This course is designed for those who haven't had college mathematics but would like to understand some of the mathematical concepts behind important modern applications.

The purpose of this book is to acclimatize the student to some of the culture and terminology of mathematics and to begin developing in them a proficiency at reading and writing mathematical proofs.

This is open access book provides plenty of pleasant mathematical surprises. There are many fascinating results that do not appear in textbooks although they are accessible with a good knowledge of secondary-school mathematics.

This book shows the evolution of logarithmic ideas over 350 years. The author do believes that a quick review of mathematics as it was practiced for hundreds of years would be helpful for many students in understanding logarithms as they are still used today.

This is an enjoyable book with suggested uses ranging from a text for a undergraduate Honors Mathematics Seminar to a coffee table book. The common thread in the selected subjects is their illustration of the unity and beauty of mathematics.

This engaging book is an antidote to the rigor mortis brought on by too much mathematical rigor, teaching us how to guess answers without needing a proof or an exact calculation.

This accessible book gives a new, detailed and elementary explanation of the Godel incompleteness theorems and presents the Chaitin results and their relation to the da Costa-Doria results, which are given in full, but with no technicalities.

Computers have rapidly become so pervasive in mathematics that future generations may look back to this day as a golden dawn. The article gives a survey of mathematical proofs that rely on computer calculations and formal proofs.

The goal of this book is to help the reader make the transition from being a consumer of mathematics to a producer of it. Throughout, strategies are provided that help readers to see how mathematical concepts and results can be used in a proof.

This book provides a rich account of major mathematical milestones, from the geometry of the Greeks through Newton’s calculus, and on to the laws of probability, symbolic logic, and the fourth dimension.

It is a fun and rigorous introduction to pure mathematics, is suitable for both students and a general audience interested in learning what pure mathematics is all about. Pure mathematics is presented in a friendly, accessible, and nonetheless rigorous style.

This book consists of a sequence of 270 problems of increasing sophistication (Mental Skills; Arithmetic; Word Problems; Algebra; Geometry; Infinity) – with commentary and full solutions. The reader is assumed to have a reasonable grasp of school mathematics.

Guided by the premise that solving some of the world's most important mathematical problems will advance the field, this book offers a fascinating look at the seven unsolved Millennium Prize problems.

A course introducing the idea of mathematical discovery, especially to students who may not be particularly enthused about mathematics as yet, in which the students could actually participate in the discovery of mathematics.

This book offers a detailed but accessible account of a wide range of mathematical ideas. Starting with elementary concepts, it leads the reader towards aspects of current mathematical research.

This book will show you how to perform some magical miracles to impress and entertain your friends. But it will also explain the mathematics behind the tricks and how that same mathematics is used in the real world.

For nearly a century, this sparkling classic has provided stimulating hours of entertainment to the mathematically inclined. You'll even find problems which mathematical ingenuity can solve but the computer cannot.

In short, this is a survival manual for the professional mathematician. A successful mathematical career involves doing good mathematics, to be sure, but also requires a wide range of skills that are not normally taught in graduate school.

This book introduces the mathematics behind computer programming. It intents to tell: programming is isomorphic to mathematics. Just like in art and music, there are interesting stories and mathematicians behind the great minds.

It combines a completely self-contained step-by-step introduction to the graphics programming language PostScript with an analysis of the requirements of good mathematical illustrations, for anyone with basic knowledge of coordinate geometry.

This book highlights the societal and internal pressures preteen and early-teen girls often face when they excel in these subjects, and it shows strategies for overcoming barriers to being themselves and doing what they love while still fitting in socially.

This open access book provides an overview of Felix Klein's ideas. It discusses the meaning, importance and the legacy of Klein's ideas today and in the future, within an international, global context.

Euclid was a Greek mathematician, often referred to as the "Father of Geometry". His Elements is one of the most influential works in the history of mathematics, serving as the main textbook until the late 19th or early 20th century.

The aim of this anthology is to showcase the status of the mathematical model between abstraction and realization, presentation and representation, what is modeled and what models.

This book is a survey of contemporary mathematical topics, most non-algebraic, appropriate for a college-level quantitative literacy topics course for liberal arts majors. Emphasis is placed on the applicability of the mathematics.

Developing the skills to enable humanist scholars to address complicated technical material with confidence. Mathematics operates under a regime of shared assumptions, and it is our purpose to elucidate some of those assumptions for the newcomer.

Requiring neither prior knowledge of mathematics nor aptitude for mathematical symbolism, the book serves as essential reading for anyone interested in the intersection of mathematics and logic and in the development of analytic philosophy.

This book is a 13-part, integrated-media resource created for adult learners and high school teachers. The series covers the broad scope of human knowledge through the study of mathematics and its relevance in the world today.

The book is saturated with amusing examples from a wide range of disciplines - from turbulence to error-correcting codes to logic - as well as with just puzzles and brainteasers.

This open access book investigates the role played by identity of proofs in proof-theoretic semantics. It develops a conception of proof-theoretic semantics as primarily concerned with the relationship between proofs and derivations.

Super special codes are constructed for the first time using super-matrices. Several interesting properties of these codes, along with their applications to other fields are discussed in this book.

Help students to develop logical thinking skills and to develop the ability to think more abstractly in a proof oriented setting, develop the ability to construct and write mathematical proofs using standard methods of mathematical proof including direct proofs, proof by contradiction, mathematical induction, case analysis, counterexamples.

Using databases as an entry to category theory, this book explains category theory by examples, and shows that category theory can be useful outside of mathematics as a rigorous, flexible, and coherent modeling language throughout the sciences.

An investigation of the interrelationships between mathematics and music, reviewing the needed background concepts in each subject as they are encountered. It explores the common foundations of the two subjects, which are developed side by side.

Starting with the structure of the human ear and its relationship with Fourier Analysis, this book provides a wealth of information to understand, at varying levels of technicality, the interplay between two ancient disciplines.

Understanding the connections between music and mathematics helps you appreciate both, even if you have no special ability in either field - from knowing the math behind tuning an instrument to understanding the features that define your favorite pieces.

This book is about Information Retrieval (IR), particularly Classical Information Retrieval (CIR). The primary goal of book is to create a context for understanding the principles of CIR by discussing its mathematical bases.

This book is of interest to mathematicians and computer scientists working in finite mathematics and combinatorics. It presents a breakthrough method for analyzing complex summations.

A course on algorithmic information theory and the epistemology of mathematics and physics. It discusses Einstein and Goedel's views on the nature of mathematics in the light of information theory, and sustains the thesis that mathematics is quasi-empirical.

This book is an introduction to the language and standard proof methods of mathematics. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra.

This undergraduate textbook provides an introduction to proofs, logic, sets, functions, and other fundamental topics of abstract mathematics. It helps students transition from solving problems to proving theorems.

This up-to-date textbook assists undergraduates in mastering the ideas and mathematical language to address problems that arise in the field's many applications.

The purpose of this book is to introduce the basic ideas of mathematical proof to students embarking on university mathematics.

This consists a collection of difficult mathematics problems that will challenge you to solve them.

This book cover topics such as magic squares, magic cubes, the Franklin squares, magics and Pythagorean numbers, the theory of reversions, magic circles, spheres, and stars, and magic octahedroids, among other things.

Today neuroscientists peer into game players brains, anthropologists play games with people from primitive cultures, biologists use games to explain the evolution of human language, and mathematicians exploit games to better understand social networks.

This is is the fourth edition of the standard introductory textbook and the complete reference of LaTeX and AMS-LaTeX for scientists in all disciplines, as well as engineers. it introduces basic ideas through sample articles and documents.

Describes a simple method for generating an endless succession of beautiful fractal patterns by iterating simple maps and ordinary differential equations with coefficients chosen automatically by the computer. Each pattern produces a corresponding piece of fractal music.

This book is intended to help candidates prepare for entrance examinations in mathematics and scientific subjects, including STEP (Sixth Term Examination Paper). is recommended as preparation for any undergraduate mathematics course.

This book takes readers on a tour through some of the deepest ideas of maths, computer science and physics. Full of insights, arguments and philosophical perspectives, the book covers an amazing array of topics.

Whatever your level of scientific expertise, chances are you'll derive a great deal of pleasure, stimulation, and information from this unusual and imaginative book. It belongs in the library of anyone curious about the wonders of the scientific universe.

The goal of this book is to improve your logical-reasoning skills. Your most important critical thinking skill is your skill at making judgments-not snap judgments that occur in the blink of an eye, but those that require careful reasoning.