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Calculus Single Variable
The 10th edition of Calculus Single Variable continues to bring together the best of both new and traditional curricula in an effort to meet the needs of even more instructors teaching calculus.
Calculus, Early Transcendentals Brief Edition
First year undergraduate calculus courses. The difference between Early Transcendentals (ET) and Late Transcendentals (LT) is the placement of logs and exponentials (aka trancendentals) in the table of contents and therefore where those topics are covered in the course---either early or late. The seventh edition continues to evolve to fulfil the needs of a changing market by providing flexible solutions to teaching and learning needs of all kinds. The new edition retains the strengths of earlier editions: e.g., Anton's trademark clarity of exposition; sound mathematics; excellent exercises and examples; and appropriate level, while incorporating new ideas that have withstood the objective scrutiny of many skilled and thoughtful instructors, and their students. For the first time, the seventh edition is available in both Late Transcendentals and Early Transcendentals versions.
Calculus
Designed for the freshman/sophomore Calculus I-II-III sequence, the eighth edition continues to evolve to fulfill the needs of a changing market by providing flexible solutions to teaching and learning needs of all kinds. The new edition retains the strengths of earlier editions such as Anton's trademark clarity of exposition, sound mathematics, excellent exercises and examples, and appropriate level. Anton also incorporates new ideas that have withstood the objective scrutiny of many skilled and thoughtful instructors and their students.
Calculus
This text is aimed at future engineers and professional scientists. Applications modules at the ends of chapters demonstrate the need to relate theoretical mathematical concepts to real world examples. These modules examine problem-solving as it occurs in industry or research settings, such as the use of wavelets in music and voice synthesis and in FBI fingerprint analysis and storage.
From Erdős to Kiev: Problems of Olympiad Caliber
Ross Honsberger's love of mathematics comes through very clearly in From Erdös to Kiev. He presents intriguing, stimulating problems that can be solved with elementary mathematical techniques. It will give pleasure to motivated students and their teachers, but it will also appeal to anyone who enjoys a mathematical challenge. Most of the problems in the collection have appeared on national or international Olympiads or other contests. Thus, they are quite challenging (with solutions that are all the more rewarding). The solutions use straightforward arguments from elementary mathematics (often not very technical arguments) with only the occasional foray into sophisticated or advanced ideas. Anyone familiar with elementary mathematics can appreciate a large part of the book. The problems included in this collection are taken from geometry, number theory, probability, and combinatorics. Solutions to the problems are included.
The How and Why of One Variable Calculus
First course calculus texts have traditionally been either “engineering/science-oriented” with too little rigor, or have thrown students in the deep end with a rigorous analysis text. The How and Why of One Variable Calculus closes this gap in providing a rigorous treatment that takes an original and valuable approach between calculus and analysis. Logically organized and also very clear and user-friendly, it covers 6 main topics; real numbers, sequences, continuity, differentiation, integration, and series. It is primarily concerned with developing an understanding of the tools of calculus. The author presents numerous examples and exercises that illustrate how the techniques of calculus have universal application. The How and Why of One Variable Calculus presents an excellent text for a first course in calculus for students in the mathematical sciences, statistics and analytics, as well as a text for a bridge course between single and multi-variable calculus as well as between single variable calculus and upper level theory courses for math majors.
Walk This Way
Hang on, it's a hell of a ride! From the band that lived by the motto "Anything worth doing was worth overdoing" -- Steven Tyler, Joe Perry, Tom Hamilton, Brad Whitford, and Joey Kramer -- comes a quarter century of rock godhood: the life, the music, the truth, the hell, the lost years, and the raunchy, unsafe sex. And, of course, the drugs. But after crashing in a suffocating cloud of cocaine, crystal meth, and heroin, Aerosmith rose up from the ashes to become clean and sober -- and reclaim their rightful title as World Champion Rockers. Learn how they did it in a book that is pure Aerosmith unbound: where they came from, what they are now, and what they will always be -- a great American band.
An Episodic History of Mathematics
A series of snapshots of the history of mathematics from ancient times to the twentieth century.
Real Infinite Series
This is a widely accessible introductory treatment of infinite series of real numbers, bringing the reader from basic definitions and tests to advanced results. An up-to-date presentation is given, making infinite series accessible, interesting, and useful to a wide audience, including students, teachers, and researchers. Included are elementary and advanced tests for convergence or divergence, the harmonic series, the alternating harmonic series, and closely related results. One chapter offers 107 concise, crisp, surprising results about infinite series. Another gives problems on infinite series, and solutions, which have appeared on the annual William Lowell Putnam Mathematical Competition. The lighter side of infinite series is treated in the concluding chapter where three puzzles, eighteen visuals, and several fallacious proofs are made available. Three appendices provide a listing of true or false statements, answers to why the harmonic series is so named, and an extensive list of published works on infinite series.
Logic as Algebra
Here is an introduction to modern logic that differs from others by treating logic from an algebraic perspective. What this means is that notions and results from logic become much easier to understand when seen from a familiar standpoint of algebra. The presentation, written in the engaging and provocative style that is the hallmark of Paul Halmos, from whose course the book is taken, is aimed at a broad audience, students, teachers and amateurs in mathematics, philosophy, computer science, linguistics and engineering; they all have to get to grips with logic at some stage. All that is needed.
