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Euclidean & Non-Euclidean Geometries: Development and History
Euclidean & Non-Euclidean Geometries: Development and History

This is the definitive presentation of the history, development and philosophical significance of non-Euclidean geometry as well as of the rigorous foundations for it and for elementary Euclidean geometry, essentially according to Hilbert. Appropriate for liberal arts students, prospective high school teachers, math. majors, and even bright high...

Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus has a deservedly central role in higher education. It is not only the key to the full range of scientific and engineering disciplines; it is also a crucial component in a student’s intellectual development. I hope my text will help to open up this multifaceted world of ideas for the student. Like a great...
Gravitation (Physics Series)
Gravitation (Physics Series)
This is a textbook on gravitation physics (Einstein's "general relativity" or "geometrodynamics"). It supplies two tracks through the subject. The first track is focused on the key physical ideas. It assumes, as mathematical prerequisite, only vector analysis and simple partial-differential equations. It is suitable for a...
Calculus Second Edition
Calculus Second Edition
On Teaching Mathematics

As a young instructor, I enjoyed teaching but I didn’t appreciate how difficult it is to communicate mathematics effectively. Early in my teaching career, I was confronted with a student rebellion when my efforts to explain epsilon-delta proofs were not greeted with the enthusiasm I
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Biochemistry, Seventh Edition
Biochemistry, Seventh Edition
In writing this seventh edition of Biochemistry, we have balanced the desire to present up-to-the minute advances with the need to make biochemistry as clear and engaging as possible for the student approaching the subject for the first time. Instructors and students have long relied on Biochemistry for:

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Computers and Intractability: A Guide to the Theory of NP-Completeness (Series of Books in the Mathematical Sciences)
Computers and Intractability: A Guide to the Theory of NP-Completeness (Series of Books in the Mathematical Sciences)

Few technical lerms have gained such rapid notoriety as the appela tion "NP-complete." In the short lime since its introduction in the early 1970's, this term has come to symbolize the abyss of inherent intractability that algorithm designers increasingly face as they seek to solve larger and more complex problems. A...

Mathematical Structures for Computer Science: A Modern Treatment of Discrete Mathematics
Mathematical Structures for Computer Science: A Modern Treatment of Discrete Mathematics

The important role that discrete structures plays in computer science is gaining recognition. Computing Curricula 2001 (CC2001), the latest curriculum recommendation for computer- related education, was a joint undertaking of the Institute for Electrical and Electronic Engineers/Computer Society (IEEE/CS) and the Association for...

Computer Algorithms
Computer Algorithms

If wo try to identify those contributions of computer science which will be long lasting, surely one of these will be the refinement of the concept called algorithm. Ever since man invented the idea of a machine which could per form basic mathematical operations, the study of what can be computed and how it can be done well was...

Introduction to Compiler Construction
Introduction to Compiler Construction

The art of compiler construction is a fascinating subject- It integrates the mathe matical foundations of formal languages, a wealth of well-established techniques for syntactic analysis, semantic analysis and optimization, and a tremendous amount of practical experience accumulated over the past four decades in designing and us ing...

The Lady Tasting Tea: How Statistics Revolutionized Science in the Twentieth Century
The Lady Tasting Tea: How Statistics Revolutionized Science in the Twentieth Century
Science is inextricably linked with mathematics. Statistician David Salsburg examines the development of ever-more-powerful statistical methods for determining scientific truth in The Lady Tasting Tea, a series of historical and biographical sketches that illuminate without alienating the mathematically timid. Salsburg, who has worked...
The Fractal Geometry of Nature
The Fractal Geometry of Nature
Imagine an equilateral triangle. Now, imagine smaller equilateral triangles perched in the center of each side of the original triangle--you have a Star of David. Now, place still smaller equilateral triangles in the center of each of the star's 12 sides. Repeat this process infinitely and you have a Koch snowflake, a mind-bending geometric...
Foundations of Computer Science: C Edition (Principles of Computer Science Series)
Foundations of Computer Science: C Edition (Principles of Computer Science Series)
Aho and Ullman have created a C version of their groundbreaking text. As in that text, this book combines the theoretical foundations of computing with essential discrete mathematics. It follows the same organizations as its predecessor, with all examples and exercises in C.

This book was motivated by the desire we and others have had to
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