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Advanced Number Theory
Advanced Number Theory
Eminent mathematician/teacher approaches algebraic number theory from historical standpoint. Demonstrates how concepts, definitions, theories have evolved during last 2 centuries. Abounds with numerical examples, over 200 problems, many concrete, specific theorems. Includes numerous graphs and tables.

The prerequisites for this book
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Theoretical Physics
Theoretical Physics
Classic one-volume treatise covers mathematical topics needed by theoretical and experimental physicists (vector analysis, calculus of variations, etc.), followed by extensive coverage of mechanics, electromagnetic theory, thermodynamics, quantum mechanics, and nuclear physics. Indispensable reference for graduates and undergraduates.
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Combinatorial Group Theory: Presentations of Groups in Terms of Generators and Relations
Combinatorial Group Theory: Presentations of Groups in Terms of Generators and Relations
This seminal, much-cited account begins with a fairly elementary exposition of basic concepts and a discussion of factor groups and subgroups. The topics of Nielsen transformations, free and amalgamated products, and commutator calculus receive detailed treatment. The concluding chapter surveys word, conjugacy, and related problems; adjunction...
Ordinary Differential Equations
Ordinary Differential Equations
Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines general solution of a differential equation. Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton’s Interpolation Formulas,...
Vector and Tensor Analysis with Applications
Vector and Tensor Analysis with Applications

Definition of vectors and discussion of algebraic operations on vectors leads to concept of tensor and algebraic operations on tensors. Also, systematic study of the differential and integral calculus of vector and tensor functions of space and time, more. Concise, eminently readable text. Worked out problems, solutions.

The...

An Introduction to Matrices, Sets and Groups for Science Students
An Introduction to Matrices, Sets and Groups for Science Students
THIS book is written primarily for undergraduate students of science and engineering, and presents an elementary introduction to some of the major branches of modern algebra - namely, matrices, sets and groups. Of these three topics, matrices are of especial importance at undergraduate level, and consequently more space is devoted to their study...
Complex Variables and the Laplace Transform for Engineers
Complex Variables and the Laplace Transform for Engineers

Widely acclaimed text on essential engineering mathematics. Theory of complex variables, Cauchy-Riemann equations, conformal mapping, multivalued functions, etc. Also Fourier and Laplace Transform theory, its applications to engineering, including integrals, linear integrodifferential equations, Z Transform, much more. Many excellent...

Mathematical Fallacies and Paradoxes
Mathematical Fallacies and Paradoxes
Stimulating, thought-provoking analysis of a number of the most interesting intellectual inconsistencies in mathematics, physics and language. Delightful elucidations of methods for misunderstanding the real world of experiment (Aristotle™s Circle paradox), being led astray by algebra (De Morgan™s paradox) and other mind-benders. Some...
It's Like This, Cat (Dover Children's Classics)
It's Like This, Cat (Dover Children's Classics)
"Superb. The best junior novel I've ever read about big-city life." — The New York Times.
 
After another fight with Pop, 14-year-old Dave storms out of their apartment and nearly gets hit by a car. Kate, the local cat lady, comes to the rescue, and Dave returns home with an...
The Early Mathematical Manuscripts of Leibniz (Dover Books on Mathematics)
The Early Mathematical Manuscripts of Leibniz (Dover Books on Mathematics)
This text features Leibniz's own accounts of his work and comprises critical and historical notes and essays. An informative Introduction leads to the "postscript" to Leibniz's 1703 letter to James Bernoulli, his "Historia et Origio Calculi Differentialis," and manuscripts of the period 1673-77. Essays by C. I....
Calculus of Variations
Calculus of Variations

Book basically divided into two parts. Chapters 1-4 include background material, basic theorems and isoperimetric problems. Chapters 5-12 are devoted to applications, geometrical optics, particle dynamics, the theory of elasticity, electrostatics, quantum mechanics and other topics. Exercises in each chapter. 1952 edition.

There...

Recreations in the Theory of Numbers
Recreations in the Theory of Numbers
WHILE the author was a student, an enthusiastic mathematics professor recommended to the class a book entitled Mathematical Recreations and Essays, by W. W. R. Ball. The students dutifully made a note of the title and most of them no doubt promptly forgot about it. Many years later when the book was mentioned to several of the author's own classes,...
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