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100 Great Problems of Elementary Mathematics (Dover classics of science & mathematics)
100 Great Problems of Elementary Mathematics (Dover classics of science & mathematics)

Problems that beset Archimedes, Newton, Euler, Cauchy, Gauss, Monge and other greats, ready to challenge today’s would-be problem solvers. Among them: How is a sundial constructed? How can you calculate the logarithm of a given number without the use of logarithm table? No advanced math is required. 100 problems with proofs.

A book...

Newton's Gravity: An Introductory Guide to the Mechanics of the Universe (Undergraduate Lecture Notes in Physics)
Newton's Gravity: An Introductory Guide to the Mechanics of the Universe (Undergraduate Lecture Notes in Physics)

“Newton’s Gravity” conveys the power of simple mathematics to tell the fundamental truth about nature. Many people, for example, know the tides are caused by the pull of the Moon and to a lesser extent the Sun. But very few can explain exactly how and why that happens. Fewer still can calculate the  actual pulls of the...

Calculus
Calculus
The art of teaching, Mark Van Doren said, is the art of assisting discovery. I have tried to write a book that assists students in discovering calculus—both for its practical power and its surprising beauty. In this edition, as in the first six editions, I aim to convey to the student a sense of the utility of calculus and...
Infinitesimal Differences: Controversies between Leibniz and his Contemporaries
Infinitesimal Differences: Controversies between Leibniz and his Contemporaries
The essays offer a unified and comprehensive view of 17th century mathematical and metaphysical disputes over status of infinitesimals, particularly the question whether they were real or mere fictions. Leibnizs development of the calculus and his understanding of its metaphysical foundation are taken as both a point of departure and a...
A First Course in Probability (8th Edition)
A First Course in Probability (8th Edition)

A First Course in Probability, Eighth Edition, features clear and intuitive explanations of the mathematics of probability theory, outstanding problem sets, and a variety of diverse examples and applications. This book is ideal for an upper-level undergraduate or graduate level introduction to probability for math, science, engineering...

Nonnegative Matrix and Tensor Factorizations: Applications to Exploratory Multi-way Data Analysis and Blind Source Separation
Nonnegative Matrix and Tensor Factorizations: Applications to Exploratory Multi-way Data Analysis and Blind Source Separation
This book provides a broad survey of models and efficient algorithms for Nonnegative Matrix Factorization (NMF). This includes NMF’s various extensions and modifications, especially Nonnegative Tensor Factorizations (NTF) and Nonnegative Tucker Decompositions (NTD). NMF/NTF and their extensions are increasingly used as tools in signal and...
Particles And the Universe (Physics in Our World)
Particles And the Universe (Physics in Our World)
AS A STUDENT forced to flee Cambridge University during an epidemic in 1665–66, Isaac Newton—later knighted, becoming Sir Isaac—found a lot of time to do experiments. He put this time to good use, discovering the basis for many of the laws of physics he would go on to publish a few decades later. Newton’s equations...
Calculus: Single and Multivariable
Calculus: Single and Multivariable

This Sixth Edition of Calculus continues the effort to promote courses in which understanding and computation reinforce each other. Calculus: Single and Multivariable 6th Edition reflects the many voices of users at research universities, four-year colleges, community colleges, and secondary schools. This new edition has been streamlined to...

Quantum Computing
Quantum Computing

The twentieth century witnessed the birth of revolutionary ideas in the phys- ical sciences. These ideas began to shake the traditional view of the universe dating back to the days of Newton, even to the days of Galileo. Albert Ein- stein is usually identified as the creator of the relativity theory, a theory that is used to model the...

Electromechanical Motion Devices
Electromechanical Motion Devices

This text provides a basic treatment of modern electric machine analysis that gives readers the necessary background for comprehending the traditional applications and operating characteristics of electric machines - as well as their emerging applications in modern power systems and electric drives, such as those used in hybrid and electric...

The Theory of Everything: The Origin and Fate of the Universe
The Theory of Everything: The Origin and Fate of the Universe

In this series of lectures I shall try to give an outline of what we think is the history of the universe from the big bang to black holes. In the first lecture I shall briefly review past ideas about the universe and how we got to our present picture. One might call this the history of the history of the universe.

In the second...

Ordinary Differential Equations
Ordinary Differential Equations
Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines general solution of a differential equation. Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton’s Interpolation Formulas,...
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