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Spectral Methods of Automorphic Forms by Henryk Iwaniec
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Calculus
Gilbert Strang - 1991
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/....
Advanced Inorganic Chemistry
F. Albert Cotton - 1972
Like its predecessors, this updated Sixth Edition is organized around the periodic table of elements and provides a systematic treatment of the chemistry of all chemical elements and their compounds. It incorporates important recent developments with an emphasis on advances in the interpretation of structure, bonding, and reactivity.From the reviews of the Fifth Edition: "The first place to go when seeking general information about the chemistry of a particular element, especially when up-to-date, authoritative information is desired."--Journal of the American Chemical Society"Every student with a serious interest in inorganic chemistry should have [this book]."--
Journal of Chemical Education
"A mine of information . . . an invaluable guide."--
Nature
"The standard by which all other inorganic chemistry books are judged."--
Nouveau Journal de Chimie
"A masterly overview of the chemistry of the elements."--
The Times of London Higher Education Supplement
"A bonanza of information on important results and developments which could otherwise easily be overlooked in the general deluge of publications."--
Angewandte Chemie
Newton's Gift: How Sir Isaac Newton Unlocked the System of the World
David Berlinski - 2000
Despite this, he has remained inaccessible to most modern readers, indisputably great but undeniably remote. In this witty, engaging, and often moving examination of Newton's life, David Berlinski recovers the man behind the mathematical breakthroughs. The story carries the reader from Newton's unremarkable childhood to his awkward undergraduate days at Cambridge through the astonishing year in which, working alone, he laid the foundation for his system of the world, his Principia Mathematica, and to the subsequent monumental feuds that poisoned his soul and wearied his supporters. An edifying appreciation of Newton's greatest accomplishment, Newton's Gift is also a touching celebration of a transcendent man.
Introduction to Real Analysis
Robert G. Bartle - 1982
Therefore, this book provides the fundamental concepts and techniques of real analysis for readers in all of these areas. It helps one develop the ability to think deductively, analyze mathematical situations and extend ideas to a new context. Like the first two editions, this edition maintains the same spirit and user-friendly approach with some streamlined arguments, a few new examples, rearranged topics, and a new chapter on the Generalized Riemann Integral.
The History of the Calculus and Its Conceptual Development
Carl B. Boyer - 1959
Early beginnings in antiquity, medieval contributions, and a century of anticipation lead up to a consideration of Newton and Leibniz, the period of indecison that followed them, and the final rigorous formulation that we know today.
An Introduction to the Theory of Numbers
G.H. Hardy - 1980
The fifth edition of this classic reference work has been updated to give a reasonably accurate account of the present state of knowledge.
Algebraic Topology
Allen Hatcher - 2001
This introductory text is suitable for use in a course on the subject or for self-study, featuring broad coverage and a readable exposition, with many examples and exercises. The four main chapters present the basics: fundamental group and covering spaces, homology and cohomology, higher homotopy groups, and homotopy theory generally. The author emphasizes the geometric aspects of the subject, which helps students gain intuition. A unique feature is the inclusion of many optional topics not usually part of a first course due to time constraints: Bockstein and transfer homomorphisms, direct and inverse limits, H-spaces and Hopf algebras, the Brown representability theorem, the James reduced product, the Dold-Thom theorem, and Steenrod squares and powers.
The Möbius Strip: Dr. August Möbius's Marvelous Band in Mathematics, Games, Literature, Art, Technology, and Cosmology
Clifford A. Pickover - 2007
Escher -- goes to some of the strangest spots imaginable. It takes us to a place where the purely intellectual enters our daily world: where our outraged senses, overloaded with grocery bills, the price of gas, and what to eat for lunch, are expected to absorb really bizarre ideas. And no better guide to this weird universe exists than the brilliant thinker Clifford A. Pickover, the 21st century's answer to Buckminster Fuller. Come along as Pickover traces the origins of the Mobius strip from the mid-1800s, when the visionary scientist Dr. August Mobius became the first to describe the properties of one-sided surfaces, to the present, where it is an integral part of mathematics, magic, science, art, engineering, literature, and music. It has become a metaphor for change, strangeness, looping, and rejuvenation. Touching on everything from molecules and metal sculptures to postage stamps, architectural structures, and models of our entire universe, The Mobius Strip is lavishly illustrated and gives readers a glimpse into other worlds and new ways of thinking as Pickover reaches across cultures and dimensions.
Mathematical Analysis
Tom M. Apostol - 1957
It provides a transition from elementary calculus to advanced courses in real and complex function theory and introduces the reader to some of the abstract thinking that pervades modern analysis.
Mathematical Analysis
S.C. Malik - 1992
This book discusses real sequences and series, continuity, functions of several variables, elementary and implicit functions, Riemann and Riemann-Stieltjes integrals, and Lebesgue integrals.
How the Brain Learns Mathematics
David A. Sousa - 2007
Sousa discusses the cognitive mechanisms for learning mathematics and the environmental and developmental factors that contribute to mathematics difficulties. This award-winning text examines:Children's innate number sense and how the brain develops an understanding of number relationships Rationales for modifying lessons to meet the developmental learning stages of young children, preadolescents, and adolescents How to plan lessons in PreK-12 mathematics Implications of current research for planning mathematics lessons, including discoveries about memory systems and lesson timing Methods to help elementary and secondary school teachers detect mathematics difficulties Clear connections to the NCTM standards and curriculum focal points
A Concise History of Mathematics
Dirk Jan Struik - 1948
Students, researchers, historians, specialists — in short, everyone with an interest in mathematics — will find it engrossing and stimulating.Beginning with the ancient Near East, the author traces the ideas and techniques developed in Egypt, Babylonia, China, and Arabia, looking into such manuscripts as the Egyptian Papyrus Rhind, the Ten Classics of China, and the Siddhantas of India. He considers Greek and Roman developments from their beginnings in Ionian rationalism to the fall of Constantinople; covers medieval European ideas and Renaissance trends; analyzes 17th- and 18th-century contributions; and offers an illuminating exposition of 19th century concepts. Every important figure in mathematical history is dealt with — Euclid, Archimedes, Diophantus, Omar Khayyam, Boethius, Fermat, Pascal, Newton, Leibniz, Fourier, Gauss, Riemann, Cantor, and many others.For this latest edition, Dr. Struik has both revised and updated the existing text, and also added a new chapter on the mathematics of the first half of the 20th century. Concise coverage is given to set theory, the influence of relativity and quantum theory, tensor calculus, the Lebesgue integral, the calculus of variations, and other important ideas and concepts. The book concludes with the beginnings of the computer era and the seminal work of von Neumann, Turing, Wiener, and others."The author's ability as a first-class historian as well as an able mathematician has enabled him to produce a work which is unquestionably one of the best." — Nature Magazine.
Deal Me in: Twenty of the World's Top Poker Players Share the Heartbreaking and Inspiring Stories of How They Turned Pro
Stephen John - 2009
Poker's biggest players, such as Phil Ivey (2009 WSOP Main Event Finalist), Johnny Chan, Phil Hellmuth, Doyle Brunson and Daniel Negreanu give first-person accounts of their personal journeys and the key moments in their rise to the top of the poker pantheon. These stories will teach, inspire and make you laugh. Deal Me In humanizes the larger-than-life personalities, allowing the reader to understand more about poker strategy through the trials and errors of the best players in the game. Each poker legend tells his or her own story in the book including: Doyle Brunson, Phil Hellmuth, Daniel Negreanu, Phil Ivey, Annie Duke, Johnny Chan, Chris Jesus Ferguson, Carlos Mortensen, Chau Giang, Jennifer Harman, Allen Cunningham, Howard Lederer, Erik Seidel, Chad Brown, David Devilfish Ulliott, Layne Flack, Scotty Nguyen, Annette Obrestad, Tom Dwan and the 2008 Main Event winner Peter Eastgate.
The Universal History of Numbers: From Prehistory to the Invention of the Computer
Georges Ifrah - 1981
A riveting history of counting and calculating, from the time of the cave dwellers to the twentieth century, this fascinating volume brings numbers to thrilling life, explaining their development in human terms, the intriguing situations that made them necessary, and the brilliant achievements in human thought that they made possible. It takes us through the numbers story from Europe to China, via ancient Greece and Rome, Mesopotamia, Latin America, India, and the Arabic countries. Exploring the many ways civilizations developed and changed their mathematical systems, Ifrah imparts a unique insight into the nature of human thought–and into how our understanding of numbers and the ways they shape our lives have changed and grown over thousands of years.
Thriller 25th Anniversary: The Book, Celebrating the Biggest Selling Album of All Time
Michael Jackson - 2008
THRILLER - the music, the videos, the looks and the dance moves that changed music forever. February 12th, 2008 saw the release of Michael Jackson's Thriller album in a special 25th anniversary edition featuring all classic Thriller hits digitally remastered, a bonus DVD with Jackson's electrifying appearances and dance moves from the Thriller era PLUS brand-new tracks and remixes of Thriller's biggest hits with guest stars such as Akon, Fergie, Kanye West, and will.i.am. Now, the party continues: THRILLER 25th Anniversary - The Book celebrates the iconic King of Pop and the world's biggest selling album of all time. More than 180 exclusive, high quality, digitally remastered and glossy photographs make this book a visual journey back to the iconic times of Thriller: Behind the scenes in the studio recording THRILLER, making the revolutionary short films, being on a victorious tour, Grammy's most glorious night, and much more. FEAT. EXCLUSIVE INTERVIEWS: Quincy Jones (Executive Producer, Thriller); Rod Temperton (Songwriter, Thriller); John Landis (Director, Thriller - The Short Film); Tamara Conniff (Editiorial Director, BILLBOARD); Matt Forger (Sound Engineer, Thriller); Bruce Swedien (Sound Engineer, Thriller); Bob Giraldi (Director, Beat It); and many more. ALSO: The stories behind the Thriller songs, unreleased songs from the Thriller recording sessions, hand-written lyrics by Michael Jackson, hand-written notes from the studio sessions, poems by Michael Jackson, and much more.