Mathematics

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, multiple integrals, parameterizations, vectors, and gradients, so you'll be able to solve difficult problems with ease. And, you can test yourself at the end of every chapter for calculated proof that you're mastering this subject, which is the gateway to many exciting areas of mathematics, science, and engineering. This fast and easy guide offers:Numerous detailed examples to illustrate basic conceptsGeometric interpretations of vector operations such as div, grad, and curlCoverage of key integration theorems including Green's, Stokes', and Gauss'Quizzes at the end of each chapter to reinforce learningA time-saving approach to performing better on an exam or at workSimple enough for a beginner, but challenging enough for a more advanced student, Advanced Calculus Demystified is one book you won't want to function without!

Whether you're a science major, an engineer, or a business graduate, calculus can be one of the most intimidating subjects around. Fortunately, Calculus for the Utterly Confused is your formula for success. Written by two experienced teachers who have taken the complexity out of calculus for thousands of students, this book breaks down tough concepts into easy-to-understand chunks.Calculus for the Utterly Confused shows you how to apply calculus concepts to problems in business, medicine, sociology, physics, and environmental science. You'll get on the road to higher grades and greater confidence, and go from utterly confused to totally prepared in no time!Inside, you'll learn aboutCalculus problems with applications to business and economicsHow to use spreadsheets for business analysisGrowth and decay models including exponential and logarithmic models for biologyHow to integrate algebra into business analyses'.

Fundamental operations with numbers -- Fundamental operations with algebraic expressions -- Properties of numbers -- Special products -- Factoring -- Fractions -- Exponents -- Radicals -- Simple operations with complex numbers -- Equations in general -- Ratio, proportion, and variation -- Functions and graphs -- Linear equations in one variable -- Equations of lines -- Simultaneous linear equations -- Quadratic equations in one variable -- Conic sections -- Systems of equations involving quadratics -- Inequalities -- Polynomial functions -- Rational functions -- Sequences and series -- Logarithms -- Applications of logarithms and exponents -- Permutations and combinations -- The binomial theorem -- Probability -- Determinants -- Matrices -- Mathematical induction -- Partial fractions. Previous edition: 2006. Includes index.

Here's the perfect self-teaching guide to help anyone master differential equations--a common stumbling block for students looking to progress to advanced topics in both science and math. Covers First Order Equations, Second Order Equations and Higher, Properties, Solutions, Series Solutions, Fourier Series and Orthogonal Systems, Partial Differential Equations and Boundary Value Problems, Numerical Techniques, and more.

QUICK and DEPENDABLE review of a typical LINEAR ALGEBRA course: Brings ABSTRACT concepts down to EARTH, Hundreds of SOLVED PROBLEMS show you how to get answers, step by step, Lots of QUIZZES, test questions, and a "final EXAM"

Word problems are the most difficult part of any math course –- and the most important to both the SATs and other standardized tests. This book teaches proven methods for analyzing and solving any type of math word problem.

Fortunately for you, there's Schaum's Outlines. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills.

Statistics in Plain English, Second Edition provides a brief, simple overview of statistics to help readers gain a better understanding of how statistics work and how to interpret them correctly. It presents brief explanations of statistical concepts and techniques in simple, everyday language. Each self-contained chapter consists of three sections. The first describes the statistic, including how it is used and what information it provides. The second section reviews how it works, how to calculate the formula, the strengths and weaknesses of the technique, and the conditions needed for its use. The final section provides examples that use and interpret the statistic. A glossary of terms and symbols is also included.

There are some mathematical problems whose significance goes beyond the ordinary - like fermat's last theorem or goldbach's conjecture - they are the enigmas which define mathematics. The great mathematical problems explains why these problems exist, why they matter, what drives mathematicians to incredible lengths to solve them and where they stand in the context of mathematics and science as a whole. It contains solved problems - like the poincare conjecture, cracked by the eccentric genius grigori perelman, who refused academic honours and a million-dollar prize for his work, and ones which, like the riemann hypothesis, remain baffling after centuries. Stewart is the guide to this mysterious and exciting world, showing how modern mathematicians constantly rise to the challenges set by their predecessors, as the great mathematical problems of the past succumb to the new techniques and ideas of the present.

"Max Tegmark leads us on an astonishing journey through past, present, and future, and through the physics, astronomy and mathematics that are the foundation of his work, most particularly his hypothesis that our physical reality is a mathematical structure and his theory of the ultimate multiverse. In a dazzling combination of both popular and ground-breaking science, he not only helps us grasp his often mind-boggling theories (his website gives a flavor of how they might boggle the mind), but he also shares with us some of the often surprising triumphs and disappointments that have shaped his life as a scientist. Fascinating from first to last--here is a book for the full science-reading spectrum".

This book offers a modern perspective on the many ways in which Turing's scientific endeavors have impacted current research and understanding of the world. His pivotal writings on subjects including computing, artificial intelligence, cryptography, morphogenesis, and more display continued relevance and insight into today's scientific and technological landscape.