1.

Record Nr.

UNINA9910454385203321

Autore

Gardner Martin <1914-2010, >

Titolo

A gardner's workout : training the mind and entertaining the spirit / / by Martin Gardner

Pubbl/distr/stampa

Boca Raton, FL : , : A K Peters/CRC Press, an imprint of Taylor and Francis, , 2001

ISBN

0-429-06239-7

1-4398-6409-8

Edizione

[First edition.]

Descrizione fisica

1 online resource (331 p.)

Disciplina

793.7/4

Soggetti

Mathematical recreations

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di bibliografia

Includes bibliographical references.

Sommario/riassunto

For many decades, Martin Gardner, the Grand Master of mathematical puzzles, has provided the tools and projects to furnish our all-too-sluggish minds with an athletic workout. Gardner's problems foster an agility of the mind as they entertain. This volume presents a new collection of problems and puzzles not previously published in book form. Martin Gardner has dedicated it to "all the underpaid teachers of mathematics everywhere, who love their subject and are able to communicate that love to their students."



2.

Record Nr.

UNISA996466867103316

Autore

Schaaf Renate <1951->

Titolo

Global solution branches of two point boundary value problems / / Renate Schaaf

Pubbl/distr/stampa

Berlin ; ; Heidelberg : , : Springer-Verlag, , [1990]

©1990

ISBN

3-540-46742-4

Edizione

[1st ed. 1990.]

Descrizione fisica

1 online resource (XXII, 146 p.)

Collana

Lecture Notes in Mathematics ; ; 1458

Classificazione

34B25

Disciplina

515.35

Soggetti

Nonlinear boundary value problems

Bifurcation theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di contenuto

Dirichlet branches bifurcating from zero -- Neumann problems, period maps and semilinear dirichlet problems -- Generalizations -- General properties of time maps.

Sommario/riassunto

The book deals with parameter dependent problems of the form u"+*f(u)=0 on an interval with homogeneous Dirichlet or Neuman boundary conditions. These problems have a family of solution curves in the (u,*)-space. By examining the so-called time maps of the problem the shape of these curves is obtained which in turn leads to information about the number of solutions, the dimension of their unstable manifolds (regarded as stationary solutions of the corresponding parabolic prob- lem) as well as possible orbit connections between them. The methods used also yield results for the period map of certain Hamiltonian systems in the plane. The book will be of interest to researchers working in ordinary differential equations, partial differential equations and various fields of applications. By virtue of the elementary nature of the analytical tools used it can also be used as a text for undergraduate and graduate students with a good background in the theory of ordinary differential equations.