ISBN: 0486453464
Page Count: 496
Dimensions: 5 3/8 x 8 1/2
Focusing on the archetypes of linear partial differential
equations, this text for upper-level undergraduates and graduate
students employs nontraditional methods to explain classical
material. Topics include the Cauchy problem, boundary value
problems, and mixed problems and evolution equations. Nearly 400
exercises enable students to reconstruct proofs. 1975 edition.
ISBN: 0486453545
Page Count: 128
Dimensions: 5 3/8 x 8 1/2
This single-volume compilation of two books, Proof in Geometry
and Mistakes in Geometric Proofs, explores the construction of
geometric proofs. In addition to offering useful criteria for
determining correctness, it presents examples of faulty proofs
that illustrate common errors. High-school geometry is the sole
prerequisite. 1963 edition.
ISBN: 0486453006
Page Count: 400
Dimensions: 6 1/2 x 9 1/4
A survey of Euclid's Elements, this text provides an
understanding of the classical Greek conception of mathematics
and its similarities to modern views as well as its differences.
It focuses on philosophical, foundational, and logical questions
? rather than focusing strictly on historical and mathematical
issues ? and features several helpful appendixes.
ISBN: 0486453243
Page Count: 528
Dimensions: 6 1/8 x 9 1/4
This introductory text offers simple presentations of the
fundamentals of nonlinear analysis, with direct proofs and clear
applications. Its full treatment ranges from smooth to nonsmooth
functions, from convex to nonconvex variational problems, and
from economics to mechanics. 1984 edition.
ISBN: 0486453472
Page Count: 192
Dimensions: 5 3/8 x 8 1/2
A study of the problems, principles, and procedures that
mathematics has inherited from antiquity, this book both
instructs and delights. Written by a specialist in interpreting
science for lay readers, it recounts the human story behind
mathematics, focusing on the insights of such thinkers as Euclid
and Hippocrates. 1955 edition.
ISBN: 0486453588
Page Count: 336
Dimensions: 5 3/8 x 8 1/2
Ranging from ancient Greek and Roman problems to modern
applications and techniques, this book features 250 lively
puzzles and problems, with solutions. Both beginners and advanced
mathematicians will appreciate its variety of numerical pastimes,
which include unusual historic problems from medieval European,
Arabic, and Hindu sources.