This new book from one of the most published authors in all of mathematics is an attempt to offer a new, more modern take on the Differential Equations course. The world is changing. Because of the theory of wavelets, Fourier analysis is ever more important and central. And applications are a driving force behind much of mathematics.This text text presents a more balanced picture. The text covers differential equations (both ordinary and partial), Fourier analysis and applications in equal...

Transition to Real Analysis with Proof provides undergraduate students with an introduction to analysis including an introduction to proof. The text combines the topics covered in a transition course to lead into a first course on analysis. This combined approach allows instructors to teach a single course where two were offered.The text opens with an introduction to basic logic and set theory, setting students up to succeed in the study of analysis. Each ...

Artificial Intelligence, Volume 49 in the Handbook of Statistics series, highlights new advances in the field, with this new volume presenting interesting chapters on a variety of timely topics. Chapters in this new release include AI Teacher-Student based Adaptive Structural Deep Learning Model and Its Estimating Uncertainty of Image Data, Machine-derived Intelligence: Computations Beyond the Null Hypothesis, Object oriented basis of artificial intelligence methodologies I in Judicial Sys...

Taught at junior level math courses at every university, Linear Algebra is essential for students in almost every technical and analytic discipline.

Your INTEGRAL tool for mastering ADVANCED CALCULUS Interested in going further in calculus but don't where to begin? No problem! With Advanced Calculus Demystified, there's no limit to how much you will learn. Beginning with an overview of functions of multiple variables and their graphs, this book covers the fundamentals, without spending too much time on rigorous proofs. Then you will move through more complex topics including partial derivatives, ...

Renowned astronomer Carl Sagan’s classic bestseller that “dives into the past, present, and future of science, dealing with the mind-staggering enormity of the cosmos in which we exist” (Associated Press)—with an Introduction by Ann Druyan and a Foreword by Neil deGrasse Tyson“Sagan dazzles the mind with the miracle of our survival, framed by the stately galaxies of space.”—CosmopolitanTHE INSPIRATION FOR THE FOX MINISERIES...

Albert Einstein is the unquestioned founder of modern physics. His theory of relativity is the most important scientific idea of the modern era. In this book Einstein explains, using the minimum of mathematical terms, the basic ideas and principles of the theory which has shaped the world we live in today. Unsurpassed by any subsequent books on relativity, this remains the most popular and useful exposition of Einstein’s immense contribution to human knowledge.In this work Einstein...

The bestselling popular science author " has made it his mission to tackle myths about science and the so-called experts who spread them" ( CBC Radio).The internet is a powerful beast when it comes to science; the answer to any query you may have is just a few keystrokes away. But when there are multiple answers from various sources, how do we know what information is reliable? In Monkeys, Myths, and Molecules, bestselling...

Based on courses given at Eötvös Loránd University (Hungary) over the past 30 years, this introductory textbook develops the central concepts of the analysis of functions of one variable — systematically, with many examples and illustrations, and in a manner that builds upon, and sharpens, the student’s mathematical intuition. The book provides a solid grounding in the basics of logic and proofs, sets, and real numbers, in preparation for a study of the main topics: limits, continuity, rat...

Looking for a head start in your undergraduate degree in mathematics? Maybe you've already started your degree and feel bewildered by the subject you previously loved? Don't panic! This friendly companion will ease your transition to real mathematical thinking. Working through the book you will develop an arsenal of techniques to help you unlock the meaning of definitions, theorems and proofs, solve problems, and write mathematics effectively. All the major methods of proof - direct method...