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Challenging Mathematical Problems With Elementary Solutions, Vol. 1
Challenging Mathematical Problems With Elementary Solutions, Vol. 1
Over 170 challenging problems ranging from the relatively simple to the extremely difficult. Volume 1 contains 100 problems on probability theory and combinatorial analysis.

This book is the first of a two-volume translation and adaptation of a well-known Russian problem book entitled Non-Elementary Problems in an...

100 Great Problems of Elementary Mathematics (Dover classics of science & mathematics)
100 Great Problems of Elementary Mathematics (Dover classics of science & mathematics)

Problems that beset Archimedes, Newton, Euler, Cauchy, Gauss, Monge and other greats, ready to challenge today’s would-be problem solvers. Among them: How is a sundial constructed? How can you calculate the logarithm of a given number without the use of logarithm table? No advanced math is required. 100 problems with proofs.

A book...

Elementary Concepts of Topology
Elementary Concepts of Topology

Concise work presents topological concepts in clear, elementary fashion without sacrificing their profundity or exactness. Author proceeds from basics of set-theoretic topology, through topological theorems and questions based on concept of the algebraic complex, to the concept of Betti groups.

FEW BRANCHES of geometry have...

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...

Engineering Mechanics for Structures
Engineering Mechanics for Structures

This is a book about the Mechanics of Solids, Statics, the Strength of Materials, and Elasticity Theory. But that doesn’t mean a thing unless you have had a course in the Mechanics of Solids, Statics, the Strength of Materials, or Elasticity Theory. I assume you have not; let us try again:

This is a book that builds upon what...

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...

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...

Matrices and Transformations
Matrices and Transformations

Text stresses use of matrices in study of transformations of the plane. Familiarizes reader with role of matrices in abstract algebraic systems and illustrates its effective use as mathematical tool in geometry. Includes proofs of most theorems. Answers to odd-numbered exercises.

MATRIX ALGEBRA is a significant topic in...

Lie Groups for Pedestrians
Lie Groups for Pedestrians

According to the author of this concise, high-level study, physicists often shy away from group theory, perhaps because they are unsure of which parts of the subject belong to the physicist and which belong to the mathematician. However, it is possible for physicists to understand and use many techniques which have a group theoretical basis...

Entertaining Mathematical Puzzles
Entertaining Mathematical Puzzles

Only an elementary knowledge of math is needed to enjoy this entertaining compilation of brain-teasers. It includes a mixture of old and new riddles covering a variety of mathematical topics: money, speed, plane and solid geometry, probability, topology, tricky puzzles and more. Carefully explained solutions follow each problem. 65...

Taxicab Geometry: An Adventure in Non-Euclidean Geometry
Taxicab Geometry: An Adventure in Non-Euclidean Geometry

Develops a simple non-Euclidean geometry and explores some of its practical applications through graphs, research problems, and exercises. Includes selected answers.

This book has a triple purpose: to develop a very simple, concrete non-Euclidean geometry; to explore a few of its many real-world applications; to pose some of the...

The Works of Archimedes
The Works of Archimedes

The complete works of antiquity's great geometer appear here in a highly accessible English translation by a distinguished scholar. Remarkable for his range of thought and his mastery of treatment, Archimedes addressed such topics as the famous problems of the ratio of the areas of a cylinder and an inscribed sphere; the measurement of a...

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