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Real Analysis: A First Course by Russell A. Gordon
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Essential Calculus
James Stewart - 2006
In writing the book James Stewart asked himself: What is essential for a three-semester calculus course for scientists and engineers? Stewart's ESSENTIAL CALCULUS offers a concise approach to teaching calculus that focuses on major concepts and supports those concepts with precise definitions, patient explanations, and carefully graded problems. Essential Calculus is only 850 pages-two-thirds the size of Stewart's other calculus texts (CALCULUS, Fifth Edition and CALCULUS, EARLY TRANSCENDENTALS, Fifth Edition)-and yet it contains almost all of the same topics. The author achieved this relative brevity mainly by condensing the exposition and by putting some of the features on the website, www.StewartCalculus.com. Despite the reduced size of the book, there is still a modern flavor: Conceptual understanding and technology are not neglected, though they are not as prominent as in Stewart's other books. ESSENTIAL CALCULUS has been written with the same attention to detail, eye for innovation, and meticulous accuracy that have made Stewart's textbooks the best-selling calculus texts in the world.
Number: The Language of Science
Tobias Dantzig - 1930
Tobias Dantzig shows that the development of math—from the invention of counting to the discovery of infinity—is a profoundly human story that progressed by “trying and erring, by groping and stumbling.” He shows how commerce, war, and religion led to advances in math, and he recounts the stories of individuals whose breakthroughs expanded the concept of number and created the mathematics that we know today.
What I Mean When I Say Miss You, Love You and Fuck You
Robert M. Drake - 2019
each person will hurt the only way they know how. will love... the only way they've been taught to love. not everyone will see things the way you do. feel things the way you do. and you can't force your beliefs on people either because that's not love. that's not having compassion for other people. we all have our own right to see the world with our own eyes, therefore, understanding is key. and I don't mean saying it, saying you understand someone without putting yourself in their shoes. without respecting their views. you have to really know yourself and your environment to understand why people are the way they are. you have to go through enough pain to keep your heart open. to be compassionate towards other people. understanding is key and not everyone will understand you and that's okay. but the point is, to remember how all of us are different and try to understand that not all of us are meant to be the same. and you should never believe you understand it all because believe me, there will always be something to learn. there will always be something that will take your breath away. something that will make you question everything--your own beliefs and your own way of thinking. people, things and places, like life, are always evolving and you must evolve with them... if you ever want a fair shot in accepting your flaws and the flaws of other people. and before I finish, I just want you to know... that the beauty of it all is this, the more you understand people the better you will understand yourself. from the known and to the depths of your soul... people will always shape you. all that you are is all you've experienced with them. and dont ever forget... that the people you love will always have a piece of your heart. they will always be with you... no matter what.
From 0 to Infinity in 26 Centuries: The Extraordinary Story of Maths
Chris Waring - 2012
Book by Waring, Chris
Introductory Linear Algebra: An Applied First Course
Bernard Kolman - 1988
Calculus is not a prerequisite, although examples and exercises using very basic calculus are included (labeled Calculus Required.) The most technology-friendly text on the market, Introductory Linear Algebra is also the most flexible. By omitting certain sections, instructors can cover the essentials of linear algebra (including eigenvalues and eigenvectors), to show how the computer is used, and to introduce applications of linear algebra in a one-semester course.
Problems in Mathematics with Hints and Solutions
V. Govorov - 1996
Theory has been provided in points between each chapter for clarifying relevant basic concepts. The book consist four parts algebra and trigonometry, fundamentals of analysis, geometry and vector algebra and the problems and questions set during oral examinations. Each chapter consist topic wise problems. Sample examples are provided after each text for understanding the topic well. The fourth part "oral examination problems and question" includes samples suggested by the higher schools for the help of students. Answers and hints are given at the end of the book for understanding the concept well. About the Book: Problems in Mathematics with Hints and Solutions Contents: Preface Part 1. Algebra, Trigonometry and Elementary Functions Problems on Integers. Criteria for Divisibility Real Number, Transformation of Algebraic Expressions Mathematical Induction. Elements of Combinatorics. BinomialTheorem Equations and Inequalities of the First and the SecondDegree Equations of Higher Degrees, Rational Inequalities Irrational Equations and Inequalities Systems of Equations and Inequalities The Domain of Definition and the Range of a Function Exponential and Logarithmic Equations and Inequalities Transformations of Trigonometric Expressions. InverseTrigonometric Functions Solutions of Trigonometric Equations, Inequalities and Systemsof Equations Progressions Solutions of Problems on Derivation of Equations Complex Numbers Part 2. Fundamentals of Mathematical Analysis Sequences and Their Limits. An Infinitely Decreasing GeometricProgression. Limits of Functions The Derivative. Investigating the Behaviors of Functions withthe Aid of the Derivative Graphs of Functions The Antiderivative. The Integral. The Area of a CurvilinearTrapezoid Part 3. Geometry and Vector Algebra Vector Algebra Plane Geometry. Problems on Proof Plane Geometry. Construction Problems Plane Geometry. C
Mathematics 1001: Absolutely Everything That Matters in Mathematics in 1001 Bite-Sized Explanations
Richard Elwes - 2010
Distilled into 1001 mini-essays arranged thematically, this unique book moves steadily from the basics through to the most advanced areas of math, making it the ideal guide for both the beginner and the math wiz.The book covers all of the fundamental mathematical disciplines:Geometry Numbers Analysis Logic Algebra Probability and statistics Applied mathematics Discrete mathematics Games and recreational mathematics Philosophy and metamathematicsExpert mathematician Richard Elwes explains difficult concepts in the simplest language with a minimum of jargon. Along the way he reveals such mathematical magic as how to count to 1023 using just 10 fingers and how to make an unbreakable code.Enlightening and entertaining,
Mathematics 1001
makes the language of math come alive.
Foundations of Complex Analysis
S. Ponnusamy - 2002
Suitable for a two semester course in complex analysis, or as a supplementary text for an advanced course in function theory, this book aims to give students a good foundation of complex analysis and provides a basis for solving problems in mathematics, physics, engineering and many other sciences.
Calculus
Ron Larson - 1999
It has been widely praised by a generation of users for its solid and effective pedagogy that addresses the needs of a broad range of teaching and learning styles and environments. Each title is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning.
Applied Multivariate Statistical Analysis
Richard A. Johnson - 1982
of Wisconsin-Madison) and Wichern (Texas A&M U.) present the newest edition of this college text on the statistical methods for describing and analyzing multivariate data, designed for students who have taken two or more statistics courses. The fifth edition includes the addition of seve
Calculus
Dale E. Varberg - 1999
Covering various the materials needed by students in engineering, science, and mathematics, this calculus text makes effective use of computing technology, graphics, and applications. It presents at least two technology projects in each chapter.
The Latchkey Kid
Helen Forrester - 1987
From the best-selling author of Liverpool Daisy and Three Women of Liverpool.A BOOK WHICH WILL MAKE YOU LAUGH, CRY, AND HAVE YOU ABSOLUTELY GRIPPED TILL YOU FIND OUT WHAT HAPPENS.CANADA 1960sMeet Mrs Olga Stych, daughter of an immigrant Ukrainian pig farmer. She has finally made it to the top of the social order in Tollemarche, a small town in Canada’s Bible Belt.But to get there, she has not only had to see off her most determined rival, she has neglected her son Hank. He’s a latchkey kid.As a member of the Committee for the Preservation of Morals, Olga mounts a passionate campaign against the latest ‘immoral’ bestseller. But the author of the book turns out to be her own son Hank…Olga’s fall delights her rivals. And throughout the whole affair, Hank continues to draw strength and support from the one woman who has believed in his work and inspired his love…WILL HER RISE AND FALL SHOW HER ANYTHING ABOUT WHAT REALLY MATTERS IN LIFE?
The Calculus Gallery: Masterpieces from Newton to Lebesgue
William Dunham - 2004
This book charts its growth and development by sampling from the work of some of its foremost practitioners, beginning with Isaac Newton and Gottfried Wilhelm Leibniz in the late seventeenth century and continuing to Henri Lebesgue at the dawn of the twentieth--mathematicians whose achievements are comparable to those of Bach in music or Shakespeare in literature. William Dunham lucidly presents the definitions, theorems, and proofs. Students of literature read Shakespeare; students of music listen to Bach, he writes. But this tradition of studying the major works of the masters is, if not wholly absent, certainly uncommon in mathematics. This book seeks to redress that situation.Like a great museum, The Calculus Gallery is filled with masterpieces, among which are Bernoulli's early attack upon the harmonic series (1689), Euler's brilliant approximation of pi (1779), Cauchy's classic proof of the fundamental theorem of calculus (1823), Weierstrass's mind-boggling counterexample (1872), and Baire's original category theorem (1899). Collectively, these selections document the evolution of calculus from a powerful but logically chaotic subject into one whose foundations are thorough, rigorous, and unflinching--a story of genius triumphing over some of the toughest, most subtle problems imaginable.Anyone who has studied and enjoyed calculus will discover in these pages the sheer excitement each mathematician must have felt when pushing into the unknown. In touring The Calculus Gallery, we can see how it all came to be.