Organized around the central concept of a vector space, the book includes numerous physical applications in the body of the text as well as many problems of a physical nature. It is also one of the purposes of this book to introduce the physicist to the language and style of mathematics as well as the content of those particular subjects with contemporary relevance in physics.Chapters 1 and 2 are devoted to the mathematics of classical physics. Chapters 3, 4 and 5 — the backbone of the book — cover the theory of vector spaces. Chapter 6 covers analytic function theory. In chapters 7, 8, and 9 the authors take up several important techniques of theoretical physics — the Green's function method of solving differential and partial differential equations, and the theory of integral equations. Chapter 10 introduces the theory of groups. The authors have included a large selection of problems at the end of each chapter, some illustrating or extending mathematical points, others stressing physical application of techniques developed in the text.Essentially self-contained, the book assumes only the standard undergraduate preparation in physics and mathematics, i.e. intermediate mechanics, electricity and magnetism, introductory quantum mechanics, advanced calculus and differential equations. The text may be easily adapted for a one-semester course at the graduate or advanced undergraduate level.

    The author has a direct style. His book presents detailed and intensive explanations. Many diagrams and key examples are used to aid understanding, as well as the application of calculus to physics and engineering and economics. The text is well organized, and it covers single variable and multivariable calculus in depth. An instructor's manual and student guide are available online at http: //ocw.mit.edu/ans7870/resources/Strang/....

    *Includes Day's quotes about her life and career. *Includes a bibliography for further reading. *Includes a table of contents. “I’ve been through everything. I always said I was like those round-bottomed circus dolls — you know, those dolls you could push down and they’d come back up? I’ve always been like that. I’ve always said, ‘No matter what happens, if I get pushed down, I’m going to come right back up.’” – Doris Day A lot of ink has been spilled covering the lives of history’s most influential figures, but how much of the forest is lost for the trees? In Charles River Editors’ American Legends series, readers can get caught up to speed on the lives of America’s most important men and women in the time it takes to finish a commute, while learning interesting facts long forgotten or never known. It goes without saying that few people have a career spanning 8 decades, yet that claim to fame is occupied by the legendary Doris Day, who got her start in show business as a singer in a big band in 1939 and has not let up since. From there, Day went on to record dozens of albums and hundreds of songs, winning a countless number of awards on the way to being one of the 20th century’s most popular singers. One of those recognitions came just a few years ago in 2011, when Day, by that time nearing 90 years old, released a new album that charted 9th in the UK Top 40 Albums, making her the oldest singer ever with that distinction. Her musical career would’ve been impressive enough, but Doris Day is just as well known today for her film career, which wasn’t so bad itself. Though her time in Hollywood was much shorter in comparison to her music career, she nevertheless managed to reach the top in that industry as well. As one of the most popular actresses of the ‘60s, Day was the biggest box office draw in Hollywood in the early half of that decade, and the only woman among the Top 10. In the process of making nearly 40 movies, Day would eventually be recognized as the highest grossing actress in history, and at the same time she was good enough at her craft to be nominated for an Oscar for Best Actress. Amazingly, despite her incredible success in both music and film, Day eventually found herself bankrupt due to the mismanagement of her money by her husband, compelling her to reinvent herself as the host of a popular television sitcom. Perhaps not surprisingly, Day excelled in this field as well, making The Doris Day Show one of the most popular shows on television for several years at the end of the ‘60s. American Legends: The Life of Doris Day examines the life and career of one of the entertainment industry’s biggest stars. Along with pictures of important people, places, and events, you will learn about Doris Day like never before, in no time at all.

    Focused on groups, rings and fields, this text gives students a firm foundation for more specialized work by emphasizing an understanding of the nature of algebraic structures. KEY TOPICS: Sets and Relations; GROUPS AND SUBGROUPS; Introduction and Examples; Binary Operations; Isomorphic Binary Structures; Groups; Subgroups; Cyclic Groups; Generators and Cayley Digraphs; PERMUTATIONS, COSETS, AND DIRECT PRODUCTS; Groups of Permutations; Orbits, Cycles, and the Alternating Groups; Cosets and the Theorem of Lagrange; Direct Products and Finitely Generated Abelian Groups; Plane Isometries; HOMOMORPHISMS AND FACTOR GROUPS; Homomorphisms; Factor Groups; Factor-Group Computations and Simple Groups; Group Action on a Set; Applications of G-Sets to Counting; RINGS AND FIELDS; Rings and Fields; Integral Domains; Fermat's and Euler's Theorems; The Field of Quotients of an Integral Domain; Rings of Polynomials; Factorization of Polynomials over a Field; Noncommutative Examples; Ordered Rings and Fields; IDEALS AND FACTOR RINGS; Homomorphisms and Factor Rings; Prime and Maximal Ideas; Gr�bner Bases for Ideals; EXTENSION FIELDS; Introduction to Extension Fields; Vector Spaces; Algebraic Extensions; Geometric Constructions; Finite Fields; ADVANCED GROUP THEORY; Isomorphism Theorems; Series of Groups; Sylow Theorems; Applications of the Sylow Theory; Free Abelian Groups; Free Groups; Group Presentations; GROUPS IN TOPOLOGY; Simplicial Complexes and Homology Groups; Computations of Homology Groups; More Homology Computations and Applications; Homological Algebra; Factorization; Unique Factorization Domains; Euclidean Domains; Gaussian Integers and Multiplicative Norms; AUTOMORPHISMS AND GALOIS THEORY; Automorphisms of Fields; The Isomorphism Extension Theorem; Splitting Fields; Separable Extensions; Totally Inseparable Extensions; Galois Theory; Illustrations of Galois Theory; Cyclotomic Extensions; Insolvability of the Quintic; Matrix Algebra MARKET: For all readers interested in abstract algebra.

    They'll also find the related analytic geometry much easier. The clear review of algebra and geometry in this edition will make calculus easier for students who wish to strengthen their knowledge in these areas. Updated to meet the emphasis in current courses, this new edition of a popular guide--more than 104,000 copies were bought of the prior edition--includes problems and examples using graphing calculators..

     This book will give you a comprehensive overview of the Canadian history. Author James Weber did the research and compiled this huge list of events that changed the course of this nation forever. Some of them include: - Prehistoric hunters cross over into North America from Asia (30,000 - 10,000 BC) - The Inuit people begin to move into what are now the Northwest Territories (2000 BC) - Leif Ericsson leads Viking expedition to the new World (C.1000 AD) - Martin Frobisher sails to the Hudson Bay (1576) - Samuel de Champlain establishes a French colony (1608) - Treaty of Saint-Germain-en-Laye returns Québec to France (1632) - Treaty of Utrecht (1713) - Great Britain founds Halifax (1749) - The USA invades British colonies (1812-14) - The provinces of Alberta and Saskatchewan are created (1905) - World War II (1939-45) - The St Lawrence Seaway Opens (1959) - The Québec referendum on sovereignty is narrowly defeated (1995) - Canada declines to enter the War in Iraq (2003) and many many more The book includes pictures and explanations to every event, making this the perfect resource for students and anyone wanting to broaden their knowledge in histoy. Download your copy now! Tags: history, world history, history books, history of the world, human history, world history textbook, history books for kids, earth history, geographic history, earth history kindle, human history, history books for kids age 9 12, history of the world part 1, canadian history nonfiction, history books for kids age 7-9, history books for young readers, history books for children, canadian history books, history books for kindle, canadian history encyclopedia, canadian history, canadian history books, canadian history for dummies, canadian history textbook, canada history books, canada history, canada

    

    This book offers a full range of exercises, a precise and conceptual presentation, and a new media package designed specifically to meet the needs of today's readers. The exercises gradually increase in difficulty, helping readers learn to generalize and apply the concepts. The refined table of contents introduces the exponential, logarithmic, and trigonometric functions in Chapter 7 of the text.KEY TOPICS Functions, Limits and Continuity, Differentiation, Applications of Derivatives, Integration, Applications of Definite Integrals, Integrals and Transcendental Functions, Techniques of Integration, Further Applications of Integration, Conic Sections and Polar Coordinates, Infinite Sequences and Series, Vectors and the Geometry of Space, Vector-Valued Functions and Motion in Space, Partial Derivatives, Multiple Integrals, Integration in Vector Fields.MARKET For all readers interested in Calculus.

    Linear Equations; Vector Spaces; Linear Transformations; Polynomials; Determinants; Elementary canonical Forms; Rational and Jordan Forms; Inner Product Spaces; Operators on Inner Product Spaces; Bilinear Forms For all readers interested in linear algebra.

    . . Algebra's importance lies in the student's future. . . as essential preparation for the serious study of science, engineering, economics, or for more advanced types of mathematics. . . The primary importance of trigonometry is not in its applications to surveying and navigation, or in making computations about triangles, but rather in the mathematical description of vibrations, rotations, and periodic phenomena of all kinds, including light, sound, alternating currents, and the orbits of the planets around the sun. In this brief, clearly written book, the essentials of geometry, algebra, and trigonometry are pulled together into three complementary and convenient small packages, providing an excellent preview and review for anyone who wishes to prepare to master calculus with a minimum of misunderstanding and wasted time and effort. Students and other readers will find here all they need to pull them through.

    Shilov, Professor of Mathematics at the Moscow State University, covers determinants, linear spaces, systems of linear equations, linear functions of a vector argument, coordinate transformations, the canonical form of the matrix of a linear operator, bilinear and quadratic forms, Euclidean spaces, unitary spaces, quadratic forms in Euclidean and unitary spaces, finite-dimensional algebras and their representations, with an appendix on categories of finite-dimensional spaces.The author begins with elementary material and goes easily into the advanced areas, covering all the standard topics of an advanced undergraduate or beginning graduate course. The material is presented in a consistently clear style. Problems are included, with a full section of hints and answers in the back.Keeping in mind the unity of algebra, geometry and analysis in his approach, and writing practically for the student who needs to learn techniques, Professor Shilov has produced one of the best expositions on the subject. Because it contains an abundance of problems and examples, the book will be useful for self-study as well as for the classroom.

    The calculus is not a hard subject and I prove this through an easy to read and obvious approach spanning only 100 pages. I have written this book with the following type of student in mind; the non-traditional student returning to college after a long break, a notoriously weak student in math who just needs to get past calculus to obtain a degree, and the garage tinkerer who wishes to understand a little more about the technical subjects. This book is meant to address the many fundamental thought-blocks that keep the average 'mathaphobe' (or just an interested person who doesn't have the time to enroll in a course) from excelling in mathematics in a clear and concise manner. It is my sincerest hope that this book helps you with your needs.Show more Show less

    Fully revised to meet the needs of the wide range of students beginning engineering courses, this edition has an extended Foundation section including new chapters on graphs, trigonometry, binomial series and functions and a CD-ROM

    But sometimes the solutions are not as interesting as the beautiful symmetric patterns that lead to them. Written in a friendly style for a general audience, Fearless Symmetry is the first popular math book to discuss these elegant and mysterious patterns and the ingenious techniques mathematicians use to uncover them.Hidden symmetries were first discovered nearly two hundred years ago by French mathematician �variste Galois. They have been used extensively in the oldest and largest branch of mathematics--number theory--for such diverse applications as acoustics, radar, and codes and ciphers. They have also been employed in the study of Fibonacci numbers and to attack well-known problems such as Fermat's Last Theorem, Pythagorean Triples, and the ever-elusive Riemann Hypothesis. Mathematicians are still devising techniques for teasing out these mysterious patterns, and their uses are limited only by the imagination.The first popular book to address representation theory and reciprocity laws, Fearless Symmetry focuses on how mathematicians solve equations and prove theorems. It discusses rules of math and why they are just as important as those in any games one might play. The book starts with basic properties of integers and permutations and reaches current research in number theory. Along the way, it takes delightful historical and philosophical digressions. Required reading for all math buffs, the book will appeal to anyone curious about popular mathematics and its myriad contributions to everyday life.